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Pathways","slug":"metabolic-pathways","categoryList":["academics-the-arts","science","biology"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/269962"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":281998,"slug":"biomechanics-for-dummies","isbn":"9781118674697","categoryList":["academics-the-arts","science","biology"],"amazon":{"default":"https://www.amazon.com/gp/product/1118674693/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1118674693/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1118674693-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1118674693/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1118674693/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/biomechanics-for-dummies-cover-9781118674697-203x255.jpg","width":203,"height":255},"title":"Biomechanics For Dummies","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p><b data-author-id=\"9492\">Steve McCaw, PhD,</b> is a professor at Illinois State University. Dr. McCaw has taught Biomechanics of Human Movement, Occupational Biomechanics, and Quantitative Biomechanics and has vast experience presenting biomechanics concepts in easy-to-understand formats for use in criminal and civil cases. </p>","authors":[{"authorId":9492,"name":"Steve McCaw","slug":"steve-mccaw","description":" <p><b>Steve McCaw, PhD,</b> is a professor at Illinois State University. Dr. McCaw has taught Biomechanics of Human Movement, Occupational Biomechanics, and Quantitative Biomechanics and has vast experience presenting biomechanics concepts in easy&#45;to&#45;understand formats for use in criminal and civil cases. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9492"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;science&quot;,&quot;biology&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781118674697&quot;]}]\" id=\"du-slot-6751c034224c6\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;science&quot;,&quot;biology&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781118674697&quot;]}]\" id=\"du-slot-6751c03424254\"></div></div>"},"articleType":{"articleType":"Cheat Sheet","articleList":[{"articleId":156703,"title":"How Running Shoes Work","slug":"how-running-shoes-work","categoryList":["academics-the-arts","science","biology"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/156703"}},{"articleId":156701,"title":"Why Ankle Supports Help Prevent Sprains","slug":"why-ankle-supports-help-prevent-sprains","categoryList":["academics-the-arts","science","biology"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/156701"}},{"articleId":156702,"title":"What Causes Low-Back Pain","slug":"what-causes-low-back-pain","categoryList":["academics-the-arts","science","biology"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/156702"}},{"articleId":156665,"title":"Positive and Negative Phases of Weightlifting","slug":"positive-and-negative-phases-of-weightlifting","categoryList":["academics-the-arts","science","biology"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/156665"}}],"content":[{"title":"How Running Shoes Work","thumb":null,"image":null,"content":"<p>Humans have been running for millions of years. Large forces are produced at the foot–ground interface when running. The force from the ground stops the downward motion and slows the forward motion of the runner during the first half of ground contact, and then propels the runner upward and forward into the next running step during the second half of ground contact. Larger forces are produced to run faster and when running on harder surfaces, like concrete or asphalt (as opposed to softer surfaces, such as grass or dirt).</p>\n<p class=\"TechnicalStuff\">The foot is a structural marvel because of its anatomy. The 26 bones of the foot are aligned in two arches: one extending the length of the foot (the <i>longitudinal arch</i>) and the other traversing across the foot (the <i>transverse arch</i>). The arches are supported by muscles and ligaments. The foot’s anatomy allows it not only to serve as a flexible lever to help absorb energy during the first half of ground contact, but also to become a rigid lever to push the body into the next step during the second half of ground contact.</p>\n<p class=\"TechnicalStuff\">During the first half of ground contact, the foot <i>pronates,</i> a combination of inward rotation along the length of the foot <i>(eversion),</i> upward rotation of the foot toward the shin <i>(dorsiflexion),</i> and outward rotation of the foot relative to the tibia <i>(external rotation).</i> Muscles pulling on the foot act <i>eccentrically</i> (pull while getting longer) to control the rate and extent of pronation. The second half of ground contact is a reversal of the pronation. During this phase, the foot <i>supinat</i><i>es</i><i>,</i> a combination of outward rotation along the length of the foot <i>(inversion),</i> downward rotation of the foot away from the shin <i>(plantarflexion)</i><i>,</i> and inward rotation of the foot relative to the shin <i>(internal rotation).</i> Muscles pulling on the foot act <i>concentrically</i> (pull while getting shorter) to cause the supination.</p>\n<p>Pronation is a critical part of absorbing energy, and supination is a critical part of generating energy, and the two actions of the foot are coordinated with the flexion and extension occurring at the knee when running. The amount of pronation and supination differs among individuals, because of differences in skeletal structure, muscle strength and endurance, and running style.</p>\n<p>Running shoes provide an interface between a runner’s feet and the ground. A main purpose of shoes is to protect a runner from the dangers on the ground surface like sharp rocks, jagged pavement, or broken glass. A tough material called the <i>outsole</i> on the bottom of the shoe provides this protection. The rest of the shoe is a manmade attempt to improve on the evolutionary design of the foot itself by increasing energy absorption (a feature called <i>cushioning</i>) and controlling the pronation and supination of the foot (a feature called <i>stability</i>).</p>\n<p class=\"Remember\">There is a major trade-off in creating a shoe to provide both cushioning and stability: A shoe with more cushioning provides less stability, and a shoe with more stability provides less cushioning. This tradeoff results from the materials used to make the shoe and how they’re put together.</p>\n<p>No one shoe is ideal for everyone. If you currently run in shoes that are comfortable and you’ve been injury free, buy another pair just like them when it’s time to replace your shoes. (Better yet, buy several pairs at the same time, because shoe manufacturers have the tendency to replace their current models with “newer and better” models every year or two.) When you first start using a new pair of shoes, don’t make big changes in the distance, speed, or terrain you run on for at least a few training sessions. You want to make sure you maintain a consistent running routine so that if you develop pain, you know for sure it’s the shoe causing the problem, not the fact that your routine has changed.</p>\n"},{"title":"Why Ankle Supports Help Prevent Sprains","thumb":null,"image":null,"content":"<p>An ankle sprain is one of the most common injuries in sport and recreation. Typically, the ligaments on the outside of the ankle are sprained when someone “rolls” his or her ankle.</p>\n<p>Ligaments are tough connective tissue running from bone to bone to help support a joint. Ligaments consist primarily of the fibers elastin and collagen, aligned to provide support and flexibility to the joint. A sprain occurs when a ligament is stretched so far that the arrangement of the elastin and collagen fibers gets disrupted. Sprains range from mild (a slight disruption of the fibers) to severe (a complete tear of the ligament). When a ligament is sprained, the joint swells, it’s painful to move or to touch, and it takes a while for the joint to become stable and usable for walking. For some people, the joint never feels the same again, and repeat sprains occur more easily than the first one.</p>\n<p class=\"Remember\">Many participants try to prevent ankle sprains — either an initial sprain or a reoccurrence — by wearing high-top athletic shoes or braces, or by having the ankles taped before activity. Research has shown that the use of ankle support helps reduce the risk of ankle sprains. However, the mechanism of <i>how</i> the additional ankle support prevents a sprain is still under investigation.</p>\n<p class=\"TechnicalStuff\">The support may increase the <i>proprioception, </i>or sensory feedback, from around the joint by stimulating sensors in the skin over the ankle. For this reason, the hair is not shaved off the leg before the tape or brace is applied on the joint (and the brace is worn under, not over, a sock). The idea is that the stimulation to the skin increases activity in the muscles crossing the joint so the muscles respond more quickly to restrain the joint and prevent the ligaments from getting stretched to the point of injury.</p>\n<p>Ankle support may provide additional mechanical support to the joint, beyond that provided by the ligaments and muscle. Various designs and materials have been used in the manufacture of braces, and research continues to work on improving the design to provide better support for the ligaments. An ideal brace would not limit joint motion until the ligaments are stretched to the point just before where the elastic and collagen fibers are disrupted.</p>\n<p>Another proposed idea is that people who choose to wear support for injury prevention are not as reckless as those who don’t wear support. Choosing <i>not</i> to wear equipment known to prevent injury, such as ankle support, may indicate that a person chooses performance over protection. For the same reason, such a person may hold back from getting into situations from which an injury is more likely to result.</p>\n"},{"title":"What Causes Low-Back Pain","thumb":null,"image":null,"content":"<p>Low-back pain affects many people. It’s often said that a person with low-back pain suffers from a “slipped disk,” but the better term is a <i>bulging disk.</i> Regardless of what it’s called, low-back pain is very debilitating, causing both pain and muscle weakness.</p>\n<p class=\"TechnicalStuff\">The spine is the backbone of the body. It consists of 24 individual bones called <i>vertebrae.</i> Each vertebra is adapted to provide support, protection, and sites for muscle attachment. Between each pair of vertebrae is an <i>intervertebral disk, </i>a structure made of layers of tough connective tissue called the <i>annulus fibrosus.</i> The annulus surrounds a gelatinous center called the <i>nucl</i><i>eus </i><i>pulposus</i><i>.</i> The structure of the intervertebral disks is uniquely adapted to help keep the vertebrae in alignment while allowing for limited motion between each pair of vertebrae. The motion of the spine reflects the combined motion between the pairs of adjacent vertebrae.</p>\n<p>The spinal cord runs from the brain down the length of the spine within a protective channel formed by the vertebrae. A pair of nerves branch off the spinal cord and pass out of the spine between each pair of vertebrae, one to the left and one to the right. A nerve contains both motor neurons (which send signals away from the spinal cord) and sensory neurons (which bring signals to the spinal cord). Each nerve goes to a specific region of the body. The nerves in the low back, the lumbar portion of the spine, bring sensation from and control muscles in a region of the leg.</p>\n<p>Low-back pain can develop when the tough outer layer, the annulus, breaks down and the gelatinous center, the nucleus, pushes it out, creating a bulge. The vertebral disk is sort of like a jelly-filled donut. If you step on one side of a jelly donut, the gooey center squishes out the opposite side of the donut. A bulge in the disk occurs similarly, although not quite as dramatically. When the spine bends forward, the vertebrae squeeze (apply a <i>compressive load</i>) on the front of the disk and pull (apply a <i>tensile load</i>) on the back of the disk. The compressive load on the front pushes the nucleus pulposus toward the back of the disk, where the annulus fibrosus has been stretched. If there is a weakness in the annulus fibrosus, from a congenital defect or from a breakdown of the connective tissue, the repetitive pushing of the nucleus pulposus can eventually cause the connective tissue to bulge out and push on the nerve (sometimes called a <i>pinched nerve</i>). The push disrupts the signal transmission along the nerve, leading to muscle weakness, pain, and numbness in the area of the body served by the nerve.</p>\n<p>A bulging disk can occur from a single incident, such as a fall or violent collision that loads the back. However, the most common mechanism of a bulging disk is repetitive forward flexion of the spine. This form of overuse can lead to a gradual breakdown of the annulus, and then an identifiable event (leaning forward to pull an item out of the trunk of the car) triggers the rupture of the annulus and produces the bulge that presses on the nerve. Maintaining the inward curve of the low back while standing and sitting, and particularly while lifting with the arms, is a valuable preventive step to avoid low-back pain.</p>\n"},{"title":"Positive and Negative Phases of Weightlifting","thumb":null,"image":null,"content":"<p>Talk in a weight room among experienced lifters may revolve around “doing negatives.” This doesn’t mean they’re going to stop exercising and go for a snack. “Doing negatives” refers to a particular way to perform an exercise. It’s weight room jargon, but it’s also talking biomechanics.</p>\n<p><i>Positive work</i> is performed when a force is applied to a body, and the body moves in the direction of the applied force. <i>Negative work</i> is performed when a force is applied to a body, but the body moves opposite to the direction of the applied force.</p>\n<p>When lifting weights, each rep consists of a positive and a negative phase of work performed by the lifter on the bar. Consider the bench press, an exercise where the lifter lies on her back holding a bar in her hands and alternately lowers it and raises it above her chest (a complete rep consists of a lowering phase and a raising phase). While lowering the bar to her chest, the lifter pushes up on the bar and the bar moves down. The lifter does negative work on the bar. While raising the bar above her chest, the lifter pushes up on the bar and the bar moves up. The lifter does positive work on the bar.</p>\n<p class=\"Tip\">Muscles are producing force eccentrically while the bar is lowering. The same muscles produce force concentrically while the bar is rising. Muscle can produce more force when it’s active eccentrically than it can while active concentrically. Practically, this means that you can lower more weight than you can lift.</p>\n<p>“Doing negatives” in the weight room refers to completing sets of just the lowering phase of a lift, using a heavier bar than what can be used through a complete rep of down and up. A partner assists the lifter to raise the bar back up.</p>\n"}],"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":"One year","lifeExpectancySetFrom":"2024-12-05T00:00:00+00:00","dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":207746},{"headers":{"creationTime":"2016-03-27T16:53:34+00:00","modifiedTime":"2024-11-13T18:50:09+00:00","timestamp":"2024-11-13T21:01:11+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Science","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33756"},"slug":"science","categoryId":33756},{"name":"Botany","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33761"},"slug":"botany","categoryId":33761}],"title":"Botany For Dummies Cheat Sheet","strippedTitle":"botany for dummies cheat sheet","slug":"botany-for-dummies-cheat-sheet","canonicalUrl":"","seo":{"metaDescription":"Here's a quick reference botany guide for the parts of a flower, a plant's life cycle, and types of plant tissues.","noIndex":0,"noFollow":0},"content":"Botany is the study of plants. Plants are very similar to people in a lot of ways, but they also have some differences that can be hard to wrap your brain around. And, like any science class, botany can get a little overwhelming at times. So, here are a few items to help you grasp some of the big ideas in botany.","description":"Botany is the study of plants. Plants are very similar to people in a lot of ways, but they also have some differences that can be hard to wrap your brain around. And, like any science class, botany can get a little overwhelming at times. So, here are a few items to help you grasp some of the big ideas in botany.","blurb":"","authors":[{"authorId":9201,"name":"Rene Fester Kratz","slug":"rene-fester-kratz","description":" <p><b>Rene Fester Kratz, PhD</b> is a Biology instructor at Everett Community College. As a member of the North Cascades and Olympic Science Partnership, she worked to develop science curricula that are in alignment with research on human learning. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9201"}}],"primaryCategoryTaxonomy":{"categoryId":33761,"title":"Botany","slug":"botany","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33761"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive Guide","slug":"how-to-pray-the-rosary","categoryList":["body-mind-spirit","religion-spirituality","christianity","catholicism"],"_links":{"self":"/articles/192609"}},{"articleId":284787,"title":"What Your Society Says About You","slug":"what-your-society-says-about-you","categoryList":["academics-the-arts","humanities"],"_links":{"self":"/articles/284787"}},{"articleId":230957,"title":"Nikon D3400 For Dummies Cheat Sheet","slug":"nikon-d3400-dummies-cheat-sheet","categoryList":["home-auto-hobbies","photography"],"_links":{"self":"/articles/230957"}},{"articleId":208741,"title":"Kabbalah For Dummies Cheat Sheet","slug":"kabbalah-for-dummies-cheat-sheet","categoryList":["body-mind-spirit","religion-spirituality","kabbalah"],"_links":{"self":"/articles/208741"}},{"articleId":299133,"title":"ChatGPT For Dummies Cheat Sheet","slug":"chatgpt-for-dummies-cheat-sheet","categoryList":["technology","information-technology","ai","general-ai"],"_links":{"self":"/articles/299133"}}],"inThisArticle":[],"relatedArticles":{"fromBook":[{"articleId":187335,"title":"Types of Plant Tissues","slug":"types-of-plant-tissues","categoryList":["academics-the-arts","science","botany"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/187335"}},{"articleId":187336,"title":"Alternation of Generations in a Plant Life Cycle","slug":"alternation-of-generations-in-a-plant-life-cycle","categoryList":["academics-the-arts","science","botany"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/187336"}},{"articleId":187337,"title":"Parts of a Flower","slug":"parts-of-a-flower","categoryList":["academics-the-arts","science","botany"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/187337"}}],"fromCategory":[{"articleId":187335,"title":"Types of Plant Tissues","slug":"types-of-plant-tissues","categoryList":["academics-the-arts","science","botany"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/187335"}},{"articleId":187336,"title":"Alternation of Generations in a Plant Life Cycle","slug":"alternation-of-generations-in-a-plant-life-cycle","categoryList":["academics-the-arts","science","botany"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/187336"}},{"articleId":187337,"title":"Parts of a Flower","slug":"parts-of-a-flower","categoryList":["academics-the-arts","science","botany"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/187337"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":282016,"slug":"botany-for-dummies","isbn":"9781394273898","categoryList":["academics-the-arts","science","botany"],"amazon":{"default":"https://www.amazon.com/gp/product/1394273894/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1394273894/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1394273894-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1394273894/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1394273894/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/botany-for-dummies-2e-cover-9781394273898-203x255.jpg","width":203,"height":255},"title":"Botany For Dummies","testBankPinActivationLink":"","bookOutOfPrint":true,"authorsInfo":"<p><p><b><b data-author-id=\"9201\">Rene Fester Kratz</b>, PhD</b> is a Biology instructor at Everett Community College. As a member of the North Cascades and Olympic Science Partnership, she worked to develop science curricula that are in alignment with research on human learning.</p>","authors":[{"authorId":9201,"name":"Rene Fester Kratz","slug":"rene-fester-kratz","description":" <p><b>Rene Fester Kratz, PhD</b> is a Biology instructor at Everett Community College. As a member of the North Cascades and Olympic Science Partnership, she worked to develop science curricula that are in alignment with research on human learning. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9201"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;science&quot;,&quot;botany&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781394273898&quot;]}]\" id=\"du-slot-673513976a1f5\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;science&quot;,&quot;botany&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781394273898&quot;]}]\" id=\"du-slot-673513976a99c\"></div></div>"},"articleType":{"articleType":"Cheat Sheet","articleList":[{"articleId":187337,"title":"Parts of a Flower","slug":"parts-of-a-flower","categoryList":["academics-the-arts","science","botany"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/187337"}},{"articleId":187336,"title":"Alternation of Generations in a Plant Life Cycle","slug":"alternation-of-generations-in-a-plant-life-cycle","categoryList":["academics-the-arts","science","botany"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/187336"}},{"articleId":187335,"title":"Types of Plant Tissues","slug":"types-of-plant-tissues","categoryList":["academics-the-arts","science","botany"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/187335"}}],"content":[{"title":"Parts of a flower","thumb":null,"image":null,"content":"<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-302469\" src=\"https://www.dummies.com/wp-content/uploads/botany-fd-parts-of-flower.jpg\" alt=\"illustration showing parts of a flower: carpel (pistil), stigma, style, ovary, ovule, receptacle, peduncle, sepal, filament, anther, petal\" width=\"524\" height=\"574\" /></p>\n<p>Flowers can be unisexual, having only male or female parts, or bisexual, having both types of parts. The male parts of a flower make up the stamens. The entire whorl of stamens in the flower is called the androecium.</p>\n<p>The sac-like structures at the top of the stamen are the anthers. The anthers house pollen, which contain the male gametophytes that make the sperm. The thread-like stalks that lift the anthers up are called filaments.</p>\n<p>The female parts of the flower make up the pistils. The entire whorl of pistils in the flower, which may be separate or fused together, is called the gynoecium.</p>\n<p>The sticky tips at the top of the pistils that receive pollen are called stigmas. The swollen bases of the pistils are the ovaries. Inside the ovaries are tiny pearl-like structures called ovules. The ovules contain the female gametophytes, which make the eggs. The slender stalks that connect each stigma to an ovary are called styles.</p>\n"},{"title":"Types of plant tissues","thumb":null,"image":null,"content":"<p>Plant tissues come in several forms: vascular, epidermal, ground, and meristematic. Each type of tissue consists of different types of cells, has different functions, and is located in different places.</p>\n<table>\n<tbody>\n<tr>\n<th>Tissue</th>\n<th>Cell Types</th>\n<th>Function</th>\n<th>Locations</th>\n</tr>\n<tr>\n<td>Vascular tissue</td>\n<td>Xylem is made up of vessels and tracheids<br />\nPhloem is made up of sieve cells and companion cells</td>\n<td>Xylem transports water<br />\nPhloem transports sugars</td>\n<td>In stems, leaves, and roots</td>\n</tr>\n<tr>\n<td>Epidermal tissue</td>\n<td>Parenchyma</td>\n<td>Protect plant tissues and prevent water loss</td>\n<td>Outer layer of stems, roots, and leaves</td>\n</tr>\n<tr>\n<td>Ground tissue</td>\n<td>Parenchyma<br />\nCollenchyma<br />\nSclerenchyma</td>\n<td>Makes up bulk of plant mass</td>\n<td>Stems, roots, leaves</td>\n</tr>\n<tr>\n<td>Meristematic tissue</td>\n<td>Parenchyma</td>\n<td>Divide to produce new growth</td>\n<td>Tips of shoots<br />\nTips of roots<br />\nIn buds<br />\nIn a ring around the stem in woody plants</td>\n</tr>\n</tbody>\n</table>\n"},{"title":"Monocots vs. dicots","thumb":null,"image":null,"content":"<p>Botanists used to sort the flowering plants into two main groups, the monocots and the dicots. Although we know now that the evolutionary history of angiosperms is more complicated than this system suggests, these two categories are still useful for helping botanists identify plants and get quick insight into some of their important growth characteristics. In the table below, I highlight some of the traits that are typically associated with plants in these two groups.</p>\n<table>\n<tbody>\n<tr>\n<th></th>\n<th>Monocots</th>\n<th>Dicots</th>\n</tr>\n<tr>\n<td>Veins in leaves</td>\n<td>Parallel venation</td>\n<td>Netlike venation</td>\n</tr>\n<tr>\n<td>Flower parts</td>\n<td>Parts in multiples of 3</td>\n<td>Parts in multiples of 4 or 5</td>\n</tr>\n<tr>\n<td>Roots</td>\n<td>Fibrous roots</td>\n<td>Tap root or branching roots</td>\n</tr>\n<tr>\n<td>Seeds</td>\n<td>One cotyledon</td>\n<td>Two cotyledons</td>\n</tr>\n<tr>\n<td>Vascular bundles</td>\n<td>Scattered around the stem</td>\n<td>In a ring around the stem</td>\n</tr>\n</tbody>\n</table>\n"}],"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":"Five years","lifeExpectancySetFrom":"2024-11-13T00:00:00+00:00","dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":208567},{"headers":{"creationTime":"2018-09-18T21:53:52+00:00","modifiedTime":"2024-08-08T14:15:14+00:00","timestamp":"2024-08-08T15:01:07+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Science","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33756"},"slug":"science","categoryId":33756},{"name":"Environmental Science","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33763"},"slug":"environmental-science","categoryId":33763}],"title":"What to Do before a Hurricane Reaches You","strippedTitle":"what to do before a hurricane reaches you","slug":"what-to-do-before-a-hurricane-reaches-you","canonicalUrl":"","seo":{"metaDescription":"Learn what to do before a hurricane hits, including creating a hurricane evacuation plan and packing supplies for kids, pets, and special needs people.","noIndex":0,"noFollow":0},"content":"Hurricanes are scary, and few people think clearly under that stress. Additionally, a lot of what you need to do to best weather a storm starts well ahead of hurricane season — which runs from late May through November.\r\n\r\n[caption id=\"attachment_300383\" align=\"alignnone\" width=\"630\"]<img class=\"size-full wp-image-300383\" src=\"https://www.dummies.com/wp-content/uploads/hurricane-prepare-list-adobeStock_277831567.jpg\" alt=\"\" width=\"630\" height=\"420\" /> SpeedShutter / Adobe Stock[/caption]\r\n\r\nStart your hurricane safety plan ahead of a storm, while things are calm. The following steps put you and your family in the best position to protect your home and yourselves when a hurricane is on its way.\r\n<ul>\r\n \t<li>Have an evacuation plan ready.</li>\r\n \t<li>Determine whether you’re in an evacuation zone and watch for updates; the course of a storm may change.</li>\r\n \t<li>Scout your yard and remove any furniture or other items that may get picked up by the wind and fly through windows or otherwise cause destruction.</li>\r\n \t<li>Put any important documents in a watertight container, along with medications and insurance cards.</li>\r\n \t<li>Charge your phone and any other devices you plan to use or carry with you.</li>\r\n \t<li>Turn your fridge to the coldest setting and put a thermometer in there. You’re likely to lose electricity, and a colder starting temp will keep your food cold longer. The thermometer will let you know whether your milk is a lost cause when the electricity’s back.</li>\r\n</ul>\r\n<h2 id=\"tab1\" >Look into hurricane insurance</h2>\r\nIf you live in an area commonly hit by hurricanes, standard homeowner’s insurance isn’t going to provide everything you need. Such a policy addresses structural damage and typically includes a higher deductible whenever that damage arises from a hurricane. And it may be inadequate to cover your costs for rebuilding and the living expenses you pay while you rebuild. Be sure to look closely at coverage for additional living expenses (ALE), which are essential after extensive storm damage that requires you to rent living space while damage is repaired.\r\n\r\nFind out what your policy covers and what it excludes. For example, a standard homeowner’s policy probably doesn't cover damage from sewer backups, which are common after major storms. You actually can buy a specific policy for this instance.\r\n\r\nMuch of the damage from a hurricane comes from flooding, which also requires a separate policy.\r\n\r\nTo get the full value from the policies you do buy, make sure you have a complete inventory of what you own and how much it’s worth. Doing so will make filing claims later on much smoother. Keep this documentation and your policies in a water-safe container that you can easily move with you when you evacuate.\r\n\r\nIf you rent or own an apartment in a co-op, you need your own insurance policies, but you also want to be aware of the coverage your building has in place.\r\n<h2 id=\"tab2\" > Hurricane “watch” or “warning?”</h2>\r\nWhat makes a watch different from a warning? These terms actually have very specific meanings.\r\n<ul>\r\n \t<li>A <strong><em>hurricane</em></strong><em> <strong>watch</strong></em> tells you that hurricane-force winds may appear within 48 hours.</li>\r\n \t<li>If you hear a <strong><em>hurricane warning</em></strong><em>,</em> know that you’re likely to encounter hurricane-force winds within 36 hours. Warnings usually are issued for about 300 miles of coastline at a time. Although satellite technology makes predicting a storm’s approach easy, determining exactly where it will make landfall is still difficult.</li>\r\n</ul>\r\n<p class=\"article-tips tip\">If you are told to evacuate ahead of a hurricane, never hesitate. Leave as soon as possible. But, if whatever reason, you are unable to get out and find yourself caught in the storm, <a href=\"https://www.dummies.com/article/academics-the-arts/science/environmental-science/what-to-do-during-a-hurricane-255665/\" rel=\"noopener\">here's how to survive</a>.</p>\r\n\r\n<h2 id=\"tab3\" >Address kids, pets, and special needs during a storm</h2>\r\nMaybe one family member needs to keep insulin at a just-right temperature, or you have a dog who requires eye drops every four hours. Situations like these require more detailed planning.\r\n\r\nBe sure to think through a week’s worth of needs for each family member. That may mean finding a physician and forwarding medical records to a medical center in the city where you’ll wait out the storm at your cousin’s house, or it may require even more careful planning.\r\n\r\nJust make sure that as soon as you know a storm is possible, you carefully consider each family member’s needs for several days. Include the pets, the kids, and the grandma you’ll pick up on the way out of town.\r\n\r\nFor pets and kids, concerns aren’t all that different: Be ready to feed and distract, at a minimum. You need to prepare whatever food, drinks, and toys or special objects will keep the kids and pets as content as possible during the storm.\r\n\r\nMake sure that <a href=\"https://www.dummies.com/article/home-auto-hobbies/pets/dogs/general-dogs/how-to-make-disaster-preparation-plans-for-your-dog-197493/\">your pets</a> have been microchipped or that they’re wearing ID tags. It’s all too easy to become separated during the chaos of a storm.\r\n\r\nIf your kids attend school or daycare, make sure that you know the schools’ evacuation plans. Laminate an “in case of emergency” card for each child that includes your contact information and that of a friend or relative who lives elsewhere and may be able to provide a safe place to stay if a storm arises.\r\n\r\nAs much as possible, keep up your routines, which will reassure members of your family who rely on you. Your kids especially look to you for cues about how to act, so do your best to keep calm.\r\n<h2 id=\"tab4\" >Prepare a storm evacuation plan</h2>\r\nUprooting your life in response to an incoming storm presents a host of challenges, like where you’ll end up and who’s in charge of the pet-food supply. Make the transition as smooth as possible by having an evacuation plan in place. It should cover the following:\r\n<ul>\r\n \t<li><strong>Where you’ll meet if you become separated:</strong> Pick a place close to home and one farther away where you can meet up, and choose a family member to serve as point person. This person is who everyone checks in with if you can’t stay in one place.</li>\r\n \t<li><strong>Where you’ll stay:</strong> Identify a couple of options ahead of time. Shelters will arise nearby (use <a href=\"http://fema.gov\" target=\"_blank\" rel=\"noopener\">FEMA.gov</a> to find them), or maybe a hospitable friend or family member lives outside the evacuation zone. If you have pets, this part of the planning is trickier; most shelters accept only service dogs.</li>\r\n \t<li><strong>How you’ll get there:</strong> If you have a car, make sure it’s in good working order and your gas tank is full. If not, plan farther ahead for public transportation (which will shut down as the storm nears) or for someone to drive you.</li>\r\n \t<li><strong>Supplies:</strong> Get your <a href=\"https://www.ready.gov/build-a-kit\" target=\"_blank\" rel=\"noopener\"><strong>disaster supplies kit</strong></a> ready well ahead of time. Grab a phone charger for the car, and if you’re traveling far, have snacks and distractions ready — especially if you’re traveling with kids.</li>\r\n \t<li><strong>Maps:</strong> Downed trees or flooding may require you to change your route at the last moment, so be ready with low-tech navigation that cannot let you down no matter the circumstances.</li>\r\n \t<li><strong>IDs and cash:</strong> Appoint a family member to make sure everyone has an ID and a little bit of cash. Don’t let this be the time you’re caught with your wallet in your gym bag.</li>\r\n \t<li><strong>Updates:</strong> If you don’t want to keep tuned to the weather on the car radio, ask one person to track the storm until you’re safely out of range. Emergency instructions sometimes change as the storm progresses, and you need to have the latest information as you evacuate.</li>\r\n \t<li><strong>Notice:</strong> Identify a close friend or family member to check in with when you leave and when you have arrived at shelter outside the evacuation zone.</li>\r\n \t<li><strong>Resolve:</strong> Staying in your home is tempting, even when you’ve been ordered to evacuate. Resolve, as a household, to follow those orders and accept no alternatives. Hurricanes are deadly. Agreeing ahead of time that you’ll evacuate can save valuable time debating the issue later.</li>\r\n</ul>\r\n<h2 id=\"tab5\" >If you’re on the coast, get out well in advance of the storm surge</h2>\r\nWhen a hurricane pushes ocean water ashore, that push is called a <em>storm surg</em>e and is responsible for more deaths and damage than any other part of the storm. Depending on how and where the storm hits, a storm surge — measured in how far above sea level the water rises — can bring almost 30 feet of water to land. This water moves at high speed, bringing tremendous destructive power to everything in its path.\r\n\r\nThese surges are unpredictable, and they often arrive before the storms themselves. When they hit, water levels can rise ten feet in just minutes. Help cannot make it to you under these circumstances, and you are unlikely to be able to drive away from a storm surge.\r\n\r\nIf you’re near a coast and anywhere close to a hurricane’s path, you must evacuate. If you see it coming, it’s too late. The surge can easily go from an inch to several feet before you even make it out of your driveway.\r\n\r\nKeep an axe in your attic so that if for some reason you are trapped in your home during a surge, you have an escape route through the roof.\r\n<h2 id=\"tab6\" >Travel to hurricane prone areas</h2>\r\nBecause hurricanes happen near coastlines, a lot of popular vacation spots are susceptible. When you’re thinking about planning a vacation, take a look at the storm season before you book tickets and hotel rooms.\r\n\r\nTravel insurance that covers natural disasters can help, and you should check with hotels and airlines about policies regarding refunds or rescheduling in the event of a storm.\r\n\r\nFor official communications related to hurricanes, please visit the websites of <a href=\"http://fema.gov\" target=\"_blank\" rel=\"noopener\">FEMA,</a> <a href=\"http://dhs.gov\" target=\"_blank\" rel=\"noopener\">Department of Homeland Security</a>, and the <a href=\"https://www.nhc.noaa.gov/\" target=\"_blank\" rel=\"noopener\">National Hurricane Center</a> for the latest information. Please note that this is general preparedness information, not specific to a particular storm.","description":"Hurricanes are scary, and few people think clearly under that stress. Additionally, a lot of what you need to do to best weather a storm starts well ahead of hurricane season — which runs from late May through November.\r\n\r\n[caption id=\"attachment_300383\" align=\"alignnone\" width=\"630\"]<img class=\"size-full wp-image-300383\" src=\"https://www.dummies.com/wp-content/uploads/hurricane-prepare-list-adobeStock_277831567.jpg\" alt=\"\" width=\"630\" height=\"420\" /> SpeedShutter / Adobe Stock[/caption]\r\n\r\nStart your hurricane safety plan ahead of a storm, while things are calm. The following steps put you and your family in the best position to protect your home and yourselves when a hurricane is on its way.\r\n<ul>\r\n \t<li>Have an evacuation plan ready.</li>\r\n \t<li>Determine whether you’re in an evacuation zone and watch for updates; the course of a storm may change.</li>\r\n \t<li>Scout your yard and remove any furniture or other items that may get picked up by the wind and fly through windows or otherwise cause destruction.</li>\r\n \t<li>Put any important documents in a watertight container, along with medications and insurance cards.</li>\r\n \t<li>Charge your phone and any other devices you plan to use or carry with you.</li>\r\n \t<li>Turn your fridge to the coldest setting and put a thermometer in there. You’re likely to lose electricity, and a colder starting temp will keep your food cold longer. The thermometer will let you know whether your milk is a lost cause when the electricity’s back.</li>\r\n</ul>\r\n<h2 id=\"tab1\" >Look into hurricane insurance</h2>\r\nIf you live in an area commonly hit by hurricanes, standard homeowner’s insurance isn’t going to provide everything you need. Such a policy addresses structural damage and typically includes a higher deductible whenever that damage arises from a hurricane. And it may be inadequate to cover your costs for rebuilding and the living expenses you pay while you rebuild. Be sure to look closely at coverage for additional living expenses (ALE), which are essential after extensive storm damage that requires you to rent living space while damage is repaired.\r\n\r\nFind out what your policy covers and what it excludes. For example, a standard homeowner’s policy probably doesn't cover damage from sewer backups, which are common after major storms. You actually can buy a specific policy for this instance.\r\n\r\nMuch of the damage from a hurricane comes from flooding, which also requires a separate policy.\r\n\r\nTo get the full value from the policies you do buy, make sure you have a complete inventory of what you own and how much it’s worth. Doing so will make filing claims later on much smoother. Keep this documentation and your policies in a water-safe container that you can easily move with you when you evacuate.\r\n\r\nIf you rent or own an apartment in a co-op, you need your own insurance policies, but you also want to be aware of the coverage your building has in place.\r\n<h2 id=\"tab2\" > Hurricane “watch” or “warning?”</h2>\r\nWhat makes a watch different from a warning? These terms actually have very specific meanings.\r\n<ul>\r\n \t<li>A <strong><em>hurricane</em></strong><em> <strong>watch</strong></em> tells you that hurricane-force winds may appear within 48 hours.</li>\r\n \t<li>If you hear a <strong><em>hurricane warning</em></strong><em>,</em> know that you’re likely to encounter hurricane-force winds within 36 hours. Warnings usually are issued for about 300 miles of coastline at a time. Although satellite technology makes predicting a storm’s approach easy, determining exactly where it will make landfall is still difficult.</li>\r\n</ul>\r\n<p class=\"article-tips tip\">If you are told to evacuate ahead of a hurricane, never hesitate. Leave as soon as possible. But, if whatever reason, you are unable to get out and find yourself caught in the storm, <a href=\"https://www.dummies.com/article/academics-the-arts/science/environmental-science/what-to-do-during-a-hurricane-255665/\" rel=\"noopener\">here's how to survive</a>.</p>\r\n\r\n<h2 id=\"tab3\" >Address kids, pets, and special needs during a storm</h2>\r\nMaybe one family member needs to keep insulin at a just-right temperature, or you have a dog who requires eye drops every four hours. Situations like these require more detailed planning.\r\n\r\nBe sure to think through a week’s worth of needs for each family member. That may mean finding a physician and forwarding medical records to a medical center in the city where you’ll wait out the storm at your cousin’s house, or it may require even more careful planning.\r\n\r\nJust make sure that as soon as you know a storm is possible, you carefully consider each family member’s needs for several days. Include the pets, the kids, and the grandma you’ll pick up on the way out of town.\r\n\r\nFor pets and kids, concerns aren’t all that different: Be ready to feed and distract, at a minimum. You need to prepare whatever food, drinks, and toys or special objects will keep the kids and pets as content as possible during the storm.\r\n\r\nMake sure that <a href=\"https://www.dummies.com/article/home-auto-hobbies/pets/dogs/general-dogs/how-to-make-disaster-preparation-plans-for-your-dog-197493/\">your pets</a> have been microchipped or that they’re wearing ID tags. It’s all too easy to become separated during the chaos of a storm.\r\n\r\nIf your kids attend school or daycare, make sure that you know the schools’ evacuation plans. Laminate an “in case of emergency” card for each child that includes your contact information and that of a friend or relative who lives elsewhere and may be able to provide a safe place to stay if a storm arises.\r\n\r\nAs much as possible, keep up your routines, which will reassure members of your family who rely on you. Your kids especially look to you for cues about how to act, so do your best to keep calm.\r\n<h2 id=\"tab4\" >Prepare a storm evacuation plan</h2>\r\nUprooting your life in response to an incoming storm presents a host of challenges, like where you’ll end up and who’s in charge of the pet-food supply. Make the transition as smooth as possible by having an evacuation plan in place. It should cover the following:\r\n<ul>\r\n \t<li><strong>Where you’ll meet if you become separated:</strong> Pick a place close to home and one farther away where you can meet up, and choose a family member to serve as point person. This person is who everyone checks in with if you can’t stay in one place.</li>\r\n \t<li><strong>Where you’ll stay:</strong> Identify a couple of options ahead of time. Shelters will arise nearby (use <a href=\"http://fema.gov\" target=\"_blank\" rel=\"noopener\">FEMA.gov</a> to find them), or maybe a hospitable friend or family member lives outside the evacuation zone. If you have pets, this part of the planning is trickier; most shelters accept only service dogs.</li>\r\n \t<li><strong>How you’ll get there:</strong> If you have a car, make sure it’s in good working order and your gas tank is full. If not, plan farther ahead for public transportation (which will shut down as the storm nears) or for someone to drive you.</li>\r\n \t<li><strong>Supplies:</strong> Get your <a href=\"https://www.ready.gov/build-a-kit\" target=\"_blank\" rel=\"noopener\"><strong>disaster supplies kit</strong></a> ready well ahead of time. Grab a phone charger for the car, and if you’re traveling far, have snacks and distractions ready — especially if you’re traveling with kids.</li>\r\n \t<li><strong>Maps:</strong> Downed trees or flooding may require you to change your route at the last moment, so be ready with low-tech navigation that cannot let you down no matter the circumstances.</li>\r\n \t<li><strong>IDs and cash:</strong> Appoint a family member to make sure everyone has an ID and a little bit of cash. Don’t let this be the time you’re caught with your wallet in your gym bag.</li>\r\n \t<li><strong>Updates:</strong> If you don’t want to keep tuned to the weather on the car radio, ask one person to track the storm until you’re safely out of range. Emergency instructions sometimes change as the storm progresses, and you need to have the latest information as you evacuate.</li>\r\n \t<li><strong>Notice:</strong> Identify a close friend or family member to check in with when you leave and when you have arrived at shelter outside the evacuation zone.</li>\r\n \t<li><strong>Resolve:</strong> Staying in your home is tempting, even when you’ve been ordered to evacuate. Resolve, as a household, to follow those orders and accept no alternatives. Hurricanes are deadly. Agreeing ahead of time that you’ll evacuate can save valuable time debating the issue later.</li>\r\n</ul>\r\n<h2 id=\"tab5\" >If you’re on the coast, get out well in advance of the storm surge</h2>\r\nWhen a hurricane pushes ocean water ashore, that push is called a <em>storm surg</em>e and is responsible for more deaths and damage than any other part of the storm. Depending on how and where the storm hits, a storm surge — measured in how far above sea level the water rises — can bring almost 30 feet of water to land. This water moves at high speed, bringing tremendous destructive power to everything in its path.\r\n\r\nThese surges are unpredictable, and they often arrive before the storms themselves. When they hit, water levels can rise ten feet in just minutes. Help cannot make it to you under these circumstances, and you are unlikely to be able to drive away from a storm surge.\r\n\r\nIf you’re near a coast and anywhere close to a hurricane’s path, you must evacuate. If you see it coming, it’s too late. The surge can easily go from an inch to several feet before you even make it out of your driveway.\r\n\r\nKeep an axe in your attic so that if for some reason you are trapped in your home during a surge, you have an escape route through the roof.\r\n<h2 id=\"tab6\" >Travel to hurricane prone areas</h2>\r\nBecause hurricanes happen near coastlines, a lot of popular vacation spots are susceptible. When you’re thinking about planning a vacation, take a look at the storm season before you book tickets and hotel rooms.\r\n\r\nTravel insurance that covers natural disasters can help, and you should check with hotels and airlines about policies regarding refunds or rescheduling in the event of a storm.\r\n\r\nFor official communications related to hurricanes, please visit the websites of <a href=\"http://fema.gov\" target=\"_blank\" rel=\"noopener\">FEMA,</a> <a href=\"http://dhs.gov\" target=\"_blank\" rel=\"noopener\">Department of Homeland Security</a>, and the <a href=\"https://www.nhc.noaa.gov/\" target=\"_blank\" rel=\"noopener\">National Hurricane Center</a> for the latest information. Please note that this is general preparedness information, not specific to a particular storm.","blurb":"","authors":[],"primaryCategoryTaxonomy":{"categoryId":33763,"title":"Environmental Science","slug":"environmental-science","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33763"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive Guide","slug":"how-to-pray-the-rosary","categoryList":["body-mind-spirit","religion-spirituality","christianity","catholicism"],"_links":{"self":"/articles/192609"}},{"articleId":284787,"title":"What Your Society Says About You","slug":"what-your-society-says-about-you","categoryList":["academics-the-arts","humanities"],"_links":{"self":"/articles/284787"}},{"articleId":230957,"title":"Nikon D3400 For Dummies Cheat 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areas","target":"#tab6"}],"relatedArticles":{"fromBook":[],"fromCategory":[{"articleId":299302,"title":"How Is Climate Change Affecting Wildfires?","slug":"how-is-climate-change-affecting-wildfires","categoryList":["academics-the-arts","science","environmental-science"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/299302"}},{"articleId":298355,"title":"How Individuals Contribute to Climate Change","slug":"how-your-personal-decisions-impact-climate-change","categoryList":["academics-the-arts","science","environmental-science"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/298355"}},{"articleId":298197,"title":"How Does Climate Change Affect Storms?","slug":"how-does-climate-change-affect-storms","categoryList":["academics-the-arts","science","environmental-science"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/298197"}},{"articleId":292097,"title":"Find New Ways to Go Green This Earth 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Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Science","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33756"},"slug":"science","categoryId":33756},{"name":"Neuroscience","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33767"},"slug":"neuroscience","categoryId":33767}],"title":"Neurobiology For Dummies Cheat Sheet","strippedTitle":"neurobiology for dummies cheat sheet","slug":"neurobiology-for-dummies-cheat-sheet","canonicalUrl":"","seo":{"metaDescription":"Explore the fascinating world of neurobiology with this Cheat Sheet, covering real-world applications and intriguing possibilities.","noIndex":0,"noFollow":0},"content":"Neurobiology has all kinds of real-world (and not so real-world) applications. From curing paralysis to the possibility of cyborgs, neurobiology has answers to many fascinating questions this Cheat Sheet addresses.","description":"Neurobiology has all kinds of real-world (and not so real-world) applications. From curing paralysis to the possibility of cyborgs, neurobiology has answers to many fascinating questions this Cheat Sheet addresses.","blurb":"","authors":[{"authorId":8948,"name":"Frank Amthor","slug":"frank-amthor","description":" <p><b>Frank Amthor, PhD,</b> is a professor of psychology at the University of Alabama and holds a secondary appointment in the UAB Medical School Department of Neurobiology. He has been an NIH-supported researcher for over 20 years and has published over 100 journal articles and conference abstracts.</p>","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8948"}},{"authorId":35418,"name":"Anne B. Theibert","slug":"anne-b-theibert","description":" <p><b>Frank Amthor, PhD,</b> is a professor of psychology at the University of Alabama and holds a secondary appointment in the UAB Medical School Department of Neurobiology. He has been an NIH-supported researcher for over 20 years and has published over 100 journal articles and conference abstracts.</p>","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/35418"}}],"primaryCategoryTaxonomy":{"categoryId":33767,"title":"Neuroscience","slug":"neuroscience","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33767"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive Guide","slug":"how-to-pray-the-rosary","categoryList":["body-mind-spirit","religion-spirituality","christianity","catholicism"],"_links":{"self":"/articles/192609"}},{"articleId":284787,"title":"What Your Society Says About You","slug":"what-your-society-says-about-you","categoryList":["academics-the-arts","humanities"],"_links":{"self":"/articles/284787"}},{"articleId":230957,"title":"Nikon D3400 For Dummies Cheat Sheet","slug":"nikon-d3400-dummies-cheat-sheet","categoryList":["home-auto-hobbies","photography"],"_links":{"self":"/articles/230957"}},{"articleId":208741,"title":"Kabbalah For Dummies Cheat Sheet","slug":"kabbalah-for-dummies-cheat-sheet","categoryList":["body-mind-spirit","religion-spirituality","kabbalah"],"_links":{"self":"/articles/208741"}},{"articleId":299133,"title":"ChatGPT For Dummies Cheat Sheet","slug":"chatgpt-for-dummies-cheat-sheet","categoryList":["technology","information-technology","ai","general-ai"],"_links":{"self":"/articles/299133"}}],"inThisArticle":[],"relatedArticles":{"fromBook":[{"articleId":157936,"title":"Can Imaging Systems Read Our Minds?","slug":"can-imaging-systems-read-our-minds","categoryList":["academics-the-arts","science","neuroscience"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/157936"}},{"articleId":157921,"title":"How Can Paralysis Be Cured?","slug":"how-can-paralysis-be-cured","categoryList":["academics-the-arts","science","neuroscience"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/157921"}},{"articleId":157922,"title":"Can the Mind Be Downloaded?","slug":"can-the-mind-be-downloaded","categoryList":["academics-the-arts","science","neuroscience"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/157922"}},{"articleId":157923,"title":"Are Cyborgs Possible?","slug":"are-cyborgs-possible","categoryList":["academics-the-arts","science","neuroscience"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/157923"}},{"articleId":157910,"title":"Is Depression &#147;All in Your Mind&#148;?","slug":"is-depression-all-in-your-mind","categoryList":["academics-the-arts","science","neuroscience"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/157910"}}],"fromCategory":[{"articleId":225092,"title":"Chronic Pain and Differences in Pain Perception","slug":"chronic-pain-individual-differences-pain-perception","categoryList":["academics-the-arts","science","neuroscience"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/225092"}},{"articleId":225089,"title":"Pain-Free and Hating It: Peripheral Neuropathy","slug":"pain-free-hating-peripheral-neuropathy","categoryList":["academics-the-arts","science","neuroscience"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/225089"}},{"articleId":225085,"title":"Neurotransmitters That Reduce or Block Pain","slug":"neurotransmitters-reduce-block-pain","categoryList":["academics-the-arts","science","neuroscience"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/225085"}},{"articleId":225078,"title":"Somatosensory Receptor Outputs","slug":"somatosensory-receptor-outputs","categoryList":["academics-the-arts","science","neuroscience"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/225078"}},{"articleId":225075,"title":"Sensing Position & Movement: Proprioception & Kinesthesis","slug":"sensing-position-movement-proprioception-kinesthesis","categoryList":["academics-the-arts","science","neuroscience"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/225075"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":282418,"slug":"neurobiology-for-dummies","isbn":"9781394266340","categoryList":["academics-the-arts","science","neuroscience"],"amazon":{"default":"https://www.amazon.com/gp/product/1394266340/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1394266340/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1394266340-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1394266340/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1394266340/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/neurobiology-for-dummies-2e-cover-9781394266340-203x255.jpg","width":203,"height":255},"title":"Neurobiology For Dummies","testBankPinActivationLink":"","bookOutOfPrint":true,"authorsInfo":"<p><b><b data-author-id=\"8948\">Frank Amthor</b>, PhD,</b> is a professor of psychology at the University of Alabama and holds a secondary appointment in the UAB Medical School Department of Neurobiology. He has been an NIH-supported researcher for over 20 years and has published over 100 journal articles and conference abstracts.</p> <p><b>Frank Amthor, PhD,</b> is a professor of psychology at the University of Alabama and holds a secondary appointment in the UAB Medical School Department of Neurobiology. He has been an NIH-supported researcher for over 20 years and has published over 100 journal articles and conference abstracts.</p>","authors":[{"authorId":8948,"name":"Frank Amthor","slug":"frank-amthor","description":" <p><b>Frank Amthor, PhD,</b> is a professor of psychology at the University of Alabama and holds a secondary appointment in the UAB Medical School Department of Neurobiology. He has been an NIH-supported researcher for over 20 years and has published over 100 journal articles and conference abstracts.</p>","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8948"}},{"authorId":35418,"name":"Anne B. Theibert","slug":"anne-b-theibert","description":" <p><b>Frank Amthor, PhD,</b> is a professor of psychology at the University of Alabama and holds a secondary appointment in the UAB Medical School Department of Neurobiology. He has been an NIH-supported researcher for over 20 years and has published over 100 journal articles and conference abstracts.</p>","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/35418"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;science&quot;,&quot;neuroscience&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781394266340&quot;]}]\" id=\"du-slot-66a56015e861a\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;science&quot;,&quot;neuroscience&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781394266340&quot;]}]\" id=\"du-slot-66a56015e95d0\"></div></div>"},"articleType":{"articleType":"Cheat Sheet","articleList":[{"articleId":157921,"title":"How Can Paralysis Be Cured?","slug":"how-can-paralysis-be-cured","categoryList":["academics-the-arts","science","neuroscience"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/157921"}},{"articleId":157922,"title":"Can the Mind Be Downloaded?","slug":"can-the-mind-be-downloaded","categoryList":["academics-the-arts","science","neuroscience"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/157922"}},{"articleId":157936,"title":"Can Imaging Systems Read Our Minds?","slug":"can-imaging-systems-read-our-minds","categoryList":["academics-the-arts","science","neuroscience"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/157936"}},{"articleId":157923,"title":"Are Cyborgs Possible?","slug":"are-cyborgs-possible","categoryList":["academics-the-arts","science","neuroscience"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/157923"}}],"content":[{"title":"How can paralysis be cured?","thumb":null,"image":null,"content":"<p>Paralysis has multiple causes. The part of the brain that controls movement can be damaged, such as from a stroke. Injuries and diseases can interrupt the message transmitted from the brain to the muscles. But treatment and research are helping, and rapid scientific and technological advances are making these science-fiction–sounding approaches feasible in the near future:</p>\n<ul>\n<li>Rehabilitation and training help in all types of paralysis by strengthening specific neural pathways and recruiting alternate ones to bypass the injury.</li>\n<li>Considerable current research is being done on the causes of paralysis. Curing the actual disease is almost always the treatment of first choice.</li>\n<li>One promising treatment for strokes and tumors involves regrowing neurons by taking cells that have been reprogrammed to be neural stem cells and doing autologous transplants derived from the person’s own tissue put into the damaged region.</li>\n<li>Other research efforts involve the use of growth factors to stimulate regeneration in damaged brain areas.</li>\n<li>Prosthetics using brain computer interfaces (BCIs) may be used to alleviate paralysis by capturing the high-level neural signals for movement, bypassing the injury, and stimulating movement closer to the muscle. Another BCI approach is to capture high-level motor command signals and perform the body movements with mechanical devices, such as prosthetic limbs or exoskeletons that magnify with motors the force exerted by a person’s limbs, or that respond to brain commands for movement recorded by electrodes.</li>\n</ul>\n"},{"title":"Can the mind be downloaded?","thumb":null,"image":null,"content":"<p>As computers become more powerful, there’s increasing speculation about whether they could equal or surpass human intelligence. One thread in this discussion is the idea of downloading the human mind into an artificial substrate such as a computer. Most neuroscientists are very skeptical about this idea for a few reasons:</p>\n<ul>\n<li>Neurobiologists know that the brain is extremely complex. It consists of on the order of 86 billion neurons, each with a thousand connections to other neurons. No present-day substrate can come close to this complexity.</li>\n<li>Neurobiologists think that the essential function of the brain is carried out by neural computations that generate action potentials that are sent to other neurons.</li>\n<li>Even if neurobiologists could measure the firing of every neuron in the brain, and the response from every synapse activated by that firing, and download or model that in silicon, we still don’t know if it would actually work like a human brain.</li>\n</ul>\n<p>Bottom line: Your thoughts are your own, for the foreseeable future.</p>\n"},{"title":"Can imaging systems read our minds?","thumb":null,"image":null,"content":"<p>Since functional magnetic resonance imaging (fMRI) machines became more common at the end of the 20th century, there have been more claims about the ability of this technology to extract the content of mental processing. Many aspects of the claims and counterclaims parallel those associated with so-called lie detector tests during their heyday in the late 20th century.</p>\n<p>fMRI scanners detect blood oxygenation levels and blood flow changes associated with metabolic changes in brain areas at a resolution of one to several cubic millimeters, depending on the magnet strength. This measurement is a one-dimensional index of the overall level of neural activity in that tissue volume, which is a complex circuit, composed of millions of neurons.</p>\n<p>What can be deduced from fMRI scans, practically and theoretically? The gross anatomy of the brain is characterized by localization of function, with distinct motor and sensory areas and maps within those areas. For example, neurobiologists know exactly where the brain area is that controls the left hand, and, if a person in an fMRI magnet moved their left hand, that activity would easily be detected.</p>\n<p>In sensory systems, visual space is laid out in a complex topographic map on the brain. If a person imagines some specific shape directly in front of them, some of the same brain areas will be activated that would have been activated by actually seeing that shape. This brain activity associated with imagery also can be detected in a scanner. Brain areas whose activity is necessary to conjure up images, or to lie, are different from those involved in retrieving content from actual memory, and this also can be detected.</p>\n<p>Eventually, though, current research methods run out of resolution. One cubic millimeter volume of brain tissue has trillions of different states. No one-dimensional measure of the overall activity in this volume can distinguish among all these states. Scanners may well be able to distinguish between a finite number of alternatives characterized by significant differences in brain activity over many millimeters (such as images causing arousal), but they can’t with foreseeable non-invasive technology distinguish among complex, subtle differences in similar thought patterns.</p>\n"},{"title":"Are cyborgs possible?","thumb":null,"image":null,"content":"<p><em>Cyborgs</em> (cybernetic organisms) already exist! Any one of the more than 100,000 people worldwide who has a cochlear implant to restore hearing is technically a cyborg, a functional combination of organic and machine parts. Your Great-Aunt Betty suddenly seems much cooler, doesn’t she? The real question is how rapidly additional brain functions will be carried out with brain-computer interfaces (BCIs) and how quickly they’ll be developed.</p>\n<p>Here are some interesting ideas about cyborgs:</p>\n<ul>\n<li>The beginning of the human cyborg era began with the need to restore lost function, particularly hearing, where the BCI was relatively straightforward. Current devices such as Musk’s Neuralink hope to translate some thought processes into motor output, such as direct control of a computer mouse.</li>\n<li>Research is underway to use a cyborg approach to repair some kinds of blindness via miniature cameras and arrays of stimulators to inject the camera signal into the retina.</li>\n<li>A long-standing project is aimed at replacing some memory functions in a portion of the medial temporal lobe of the brain, called the hippocampus, with silicon circuitry.</li>\n<li>Just as the nervous system adapts to new and novel inputs, such as those that occur when learning how to ride a bicycle or drive a car, it can likely adapt to direct injection of signals into the nervous system.</li>\n</ul>\n"}],"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":"Two years","lifeExpectancySetFrom":"2024-07-27T00:00:00+00:00","dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":207772},{"headers":{"creationTime":"2016-03-27T16:49:12+00:00","modifiedTime":"2024-07-27T19:21:37+00:00","timestamp":"2024-07-27T21:01:08+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Science","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33756"},"slug":"science","categoryId":33756},{"name":"Biology","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33760"},"slug":"biology","categoryId":33760}],"title":"Biostatistics For Dummies Cheat Sheet","strippedTitle":"biostatistics for dummies cheat sheet","slug":"biostatistics-for-dummies-cheat-sheet","canonicalUrl":"","seo":{"metaDescription":"This Cheat Sheet summarizes how to estimate sample sizes for correlations tests, paired and unpaired student t tests, and more.","noIndex":0,"noFollow":0},"content":"To estimate sample size in biostatistics, you must state the<em> effect size of importance, </em>or the <em>effect size worth knowing about</em>. If the true effect size is less than the “important” size, you don’t care if the test comes out nonsignificant. With a few shortcuts, you can pick an important effect size and find out how many participants you need, based on that effect size, for several common statistical tests.\r\n\r\nAll the graphs, tables, and rules of thumb here are for 80 percent power and α = 0.05. In other words, the guidance applies to calculating sample size you need in order to have an 80 percent chance of getting a p value that’s less than or equal to 0.05. If you want sample sizes for other values of power and α, use these simple scale-up rules:\r\n<ul>\r\n \t<li><strong>For 90 percent power instead of 80 percent:</strong> Increase <em>N</em> by a third (multiply <em>N</em> by 1.33).</li>\r\n \t<li><strong>For α = 0.01 instead of 0.05:</strong> Increase <em>N</em> by a half (multiply <em>N</em> by 1.5).</li>\r\n \t<li><strong>For 90 percent power and α = 0.01:</strong> Double <em>N</em> (multiply <em>N</em> by 2).</li>\r\n</ul>","description":"To estimate sample size in biostatistics, you must state the<em> effect size of importance, </em>or the <em>effect size worth knowing about</em>. If the true effect size is less than the “important” size, you don’t care if the test comes out nonsignificant. With a few shortcuts, you can pick an important effect size and find out how many participants you need, based on that effect size, for several common statistical tests.\r\n\r\nAll the graphs, tables, and rules of thumb here are for 80 percent power and α = 0.05. In other words, the guidance applies to calculating sample size you need in order to have an 80 percent chance of getting a p value that’s less than or equal to 0.05. If you want sample sizes for other values of power and α, use these simple scale-up rules:\r\n<ul>\r\n \t<li><strong>For 90 percent power instead of 80 percent:</strong> Increase <em>N</em> by a third (multiply <em>N</em> by 1.33).</li>\r\n \t<li><strong>For α = 0.01 instead of 0.05:</strong> Increase <em>N</em> by a half (multiply <em>N</em> by 1.5).</li>\r\n \t<li><strong>For 90 percent power and α = 0.01:</strong> Double <em>N</em> (multiply <em>N</em> by 2).</li>\r\n</ul>","blurb":"","authors":[{"authorId":35415,"name":"Monika Wahi","slug":"monika-wahi","description":" <p><b>John C. Pezzullo</b>, PhD, has held faculty appointments in the departments of biomathematics and biostatistics, pharmacology, nursing, and internal medicine at Georgetown University. He is semi-retired and continues to teach biostatistics and clinical trial design online to Georgetown University students.</p>","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/35415"}},{"authorId":9394,"name":"John C. Pezzullo","slug":"john-pezzullo","description":"<b>John C. Pezzullo</b>, PhD, has held faculty appointments in the departments of biomathematics and biostatistics, pharmacology, nursing, and internal medicine at Georgetown University. He is semi-retired and continues to teach biostatistics and clinical trial design online to Georgetown University students.","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9394"}}],"primaryCategoryTaxonomy":{"categoryId":33760,"title":"Biology","slug":"biology","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33760"}},"secondaryCategoryTaxonomy":{"categoryId":33728,"title":"Statistics","slug":"statistics","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33728"}},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive Guide","slug":"how-to-pray-the-rosary","categoryList":["body-mind-spirit","religion-spirituality","christianity","catholicism"],"_links":{"self":"/articles/192609"}},{"articleId":284787,"title":"What Your Society Says About 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Pathways","slug":"metabolic-pathways","categoryList":["academics-the-arts","science","biology"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/269962"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":281999,"slug":"biostatistics-for-dummies","isbn":"9781394251469","categoryList":["academics-the-arts","math","statistics"],"amazon":{"default":"https://www.amazon.com/gp/product/1394251467/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1394251467/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1394251467-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1394251467/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1394251467/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/biostatistics-for-dummies-2e-cover-9781394251469-203x255.jpg","width":203,"height":255},"title":"Biostatistics For Dummies","testBankPinActivationLink":"","bookOutOfPrint":true,"authorsInfo":"<p><b><b data-author-id=\"9394\">John C. Pezzullo</b></b>, PhD, has held faculty appointments in the departments of biomathematics and biostatistics, pharmacology, nursing, and internal medicine at Georgetown University. He is semi-retired and continues to teach biostatistics and clinical trial design online to Georgetown University students. <p><b>John C. Pezzullo</b>, PhD, has held faculty appointments in the departments of biomathematics and biostatistics, pharmacology, nursing, and internal medicine at Georgetown University. He is semi-retired and continues to teach biostatistics and clinical trial design online to Georgetown University students.</p></p>","authors":[{"authorId":9394,"name":"John C. Pezzullo","slug":"john-pezzullo","description":"<b>John C. Pezzullo</b>, PhD, has held faculty appointments in the departments of biomathematics and biostatistics, pharmacology, nursing, and internal medicine at Georgetown University. He is semi-retired and continues to teach biostatistics and clinical trial design online to Georgetown University students.","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9394"}},{"authorId":35415,"name":"Monika Wahi","slug":"monika-wahi","description":" <p><b>John C. Pezzullo</b>, PhD, has held faculty appointments in the departments of biomathematics and biostatistics, pharmacology, nursing, and internal medicine at Georgetown University. He is semi-retired and continues to teach biostatistics and clinical trial design online to Georgetown University students.</p>","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/35415"}},{"authorId":35420,"name":"","slug":null,"description":null,"hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/35420"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;science&quot;,&quot;biology&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781394251469&quot;]}]\" id=\"du-slot-66a560153bde0\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;science&quot;,&quot;biology&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781394251469&quot;]}]\" id=\"du-slot-66a560153dd11\"></div></div>"},"articleType":{"articleType":"Cheat Sheet","articleList":[{"articleId":164485,"title":"Estimating Sample Size for Correlation Tests in Biostatistics","slug":"estimating-sample-size-for-correlation-tests-in-biostatistics","categoryList":["academics-the-arts","science","biology"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/164485"}},{"articleId":164509,"title":"Sample Size Estimation for Unpaired Student t Tests in Biostatistics","slug":"sample-size-estimation-for-unpaired-student-t-tests-in-biostatistics","categoryList":["academics-the-arts","science","biology"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/164509"}},{"articleId":164510,"title":"Sample Size Estimation for Paired Student t Tests in Biostatistics","slug":"sample-size-estimation-for-paired-student-t-tests-in-biostatistics","categoryList":["academics-the-arts","science","biology"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/164510"}},{"articleId":164511,"title":"Estimating Sample Size When Comparing Two Proportions in Biostatistics","slug":"estimating-sample-size-when-comparing-two-proportions-in-biostatistics","categoryList":["academics-the-arts","science","biology"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/164511"}}],"content":[{"title":"Estimating sample size for correlation tests","thumb":null,"image":null,"content":"<p>For a correlation test in biostatistics (such as the Pearson or Spearman test), pick the scatter chart that looks like an important amount of correlation. Each chart shows the value of <em>r</em> (the correlation coefficient) and the required number of participants who provide complete data, meaning they each provide an <em>x</em> and a <em>y</em> value. For example, if the scatter chart in the lower-left corner (corresponding to <em>r</em> = 0.6) appears to show an important amount of correlation, you’ll need analyzable data from about 20 participants.</p>\n<div class=\"imageBlock\" style=\"width: 535px;\">\n<p><img loading=\"lazy\" src=\"https://www.dummies.com/wp-content/uploads/382138.image0.jpg\" alt=\"[Credit: Illustration by Wiley, Composition Services Graphics]\" width=\"535\" height=\"206\" /></p>\n<div class=\"imageCredit\">Credit: Illustration by Wiley, Composition Services Graphics</div>\n</div>\n<p>For other <em>r</em> values that aren’t in the preceding scatter charts, use this rule of thumb to estimate sample size: You need about 8/<em>r</em><sup>2</sup> – 3 analyzable participants.</p>\n"},{"title":"Sample size estimation for unpaired student t tests","thumb":null,"image":null,"content":"<p>In biostatistics, when comparing the means of two independent groups of participants using an unpaired Student t test, the <em>effect size</em> is expressed as the ratio of Δ (<em>delta,</em> the difference between the means of two groups) divided by σ (<em>sigma,</em> the within-group standard deviation).</p>\n<p>Each chart in the following figure shows overlapping bell curves that indicate the amount of separation between two groups, along with the effect size (Δ/σ) and the required number of analyzable participants in each group. Pick the chart that looks like an important amount of separation between the two groups. Notice the middle chart corresponds to a between-group Δ that is three-fourths as large as the within group σ. If you think the middle chart looks like an important amount of separation, then you need analyzable data from at least 29 participants per group (for a total of 58 participants contributing analyzable data).</p>\n<div class=\"imageBlock\" style=\"width: 535px;\">\n<p><img loading=\"lazy\" src=\"https://www.dummies.com/wp-content/uploads/382140.image0.jpg\" alt=\"[Credit: Illustration by Wiley, Composition Services Graphics]\" width=\"535\" height=\"82\" /></p>\n<div class=\"imageCredit\">Credit: Illustration by Wiley, Composition Services Graphics</div>\n</div>\n<p>For other Δ/σ values, use this rule of thumb to estimate sample size: You need about 16/(Δ/σ)<sup>2</sup> analyzable subjects in each group.</p>\n"},{"title":"Sample size estimation for paired student t tests","thumb":null,"image":null,"content":"<p>In biostatistics, when comparing paired measurements (such as changes between two time points for the same participant) using a paired Student t test, the <em>effect size</em> is expressed as the ratio of Δ (<em>delta,</em> the mean change) divided by σ (<em>sigma,</em> the standard deviation of the changes). Another, perhaps easier, way to express the effect size is by the relative number of expected participants with positive versus negative changes.</p>\n<p>Each chart in the following figure shows a bell curve indicating the spread of changes, along with the effect size (Δ/σ), the ratio of positive to negative differences, and the required number of participants contributing analyzable data (a pair of measurements each). On the charts, the ratio of positive to negative differences is shown below each curve, and the vertical line represents no change (Δ = 0). To calculate sample size, select the chart that looks like an important amount of change (relative to the vertical line representing no change). For example, the middle chart corresponds to a mean Δ that is three-fourths as large as the σ of the changes. It shows about 3.4 times as many participants on the positive side compared to the negative. If this looks like an important amount of change, then you need 16 pairs of measurements (such as 16 participants, each with a pre-treatment and a post-treatment value).</p>\n<div class=\"imageBlock\" style=\"width: 535px;\">\n<p><img loading=\"lazy\" src=\"https://www.dummies.com/wp-content/uploads/382142.image0.jpg\" alt=\"[Credit: Illustration by Wiley, Composition Services Graphics]\" width=\"535\" height=\"82\" /></p>\n<div class=\"imageCredit\">Credit: Illustration by Wiley, Composition Services Graphics</div>\n</div>\n<p>For other Δ/σ values, use this rule of thumb to estimate sample size: You need about 8/(Δ/σ)<sup>2</sup> + 2 pairs of measurements.</p>\n"},{"title":"Estimating sample size when comparing two proportions","thumb":null,"image":null,"content":"<p>The proportion of participants having some attribute (such as responding to treatment) can be compared between two groups of participants by creating a cross-tab from the data, where the two rows represent the two groups, and the two columns represent the presence or absence of the attribute. In biostatistics, this cross-tab can be analyzed with a chi-square or Fisher Exact test.</p>\n<p>To estimate the required sample size, you need to provide the expected proportions in the two groups. Look up the two proportions you want to compare at the left and top of the following table. It doesn’t matter which proportion you look up on which side. The number in the cell of the table is the number of participants who would be required to provide complete data <em>in each group</em>. Please note that the <em>total</em> required sample size is twice this number.</p>\n<div class=\"imageBlock\" style=\"width: 535px;\">\n<p><img loading=\"lazy\" src=\"https://www.dummies.com/wp-content/uploads/382144.image0.jpg\" alt=\"[Credit: Illustration by Wiley, Composition Services Graphics]\" width=\"535\" height=\"449\" /></p>\n<div class=\"imageCredit\">Credit: Illustration by Wiley, Composition Services Graphics</div>\n</div>\n<div>\n<p>For example, looking at the table, if you expect 30 percent of patients with an untreated condition to have it resolve on its own, but you expect 40 percent of patients to have it resolve if treated with your new drug, you would look for the cell at the intersection of the 0.30 row and the 0.40 column (or vice versa), which contains the number 376. This means that in each group, you need 376 participants to contribute analyzable data for a total of 752 participants altogether. This is why it is important to enroll more participants in research studies than needed so that in case some drop out or are lost to follow-up, you still have analyzable data on enough of them to conduct your final analysis.</p>\n</div>\n"}],"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":"Five years","lifeExpectancySetFrom":"2024-07-27T00:00:00+00:00","dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":207922},{"headers":{"creationTime":"2016-03-27T16:49:52+00:00","modifiedTime":"2024-07-03T13:06:44+00:00","timestamp":"2024-07-03T15:01:11+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Science","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33756"},"slug":"science","categoryId":33756},{"name":"Astronomy","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33758"},"slug":"astronomy","categoryId":33758}],"title":"Stargazing For Dummies Cheat Sheet (UK Edition)","strippedTitle":"stargazing for dummies cheat sheet (uk edition)","slug":"stargazing-for-dummies-cheat-sheet-uk-edition","canonicalUrl":"","seo":{"metaDescription":"Stargazing is a fascinating hobby, but there’s an awful lot to gaze at up there. Eighty-eight constellations and hundreds of other objects both bright and faint","noIndex":0,"noFollow":0},"content":"<p>Stargazing is a fascinating hobby, but there’s an awful lot to gaze at up there. Eighty-eight constellations and hundreds of other objects both bright and faint mean that wherever you look when you’re stargazing, there’s something to see. If you want to make sense of it all, and make sure that your kit is properly set up, this Cheat Sheet is here to help.</p>\r\n","description":"<p>Stargazing is a fascinating hobby, but there’s an awful lot to gaze at up there. Eighty-eight constellations and hundreds of other objects both bright and faint mean that wherever you look when you’re stargazing, there’s something to see. If you want to make sense of it all, and make sure that your kit is properly set up, this Cheat Sheet is here to help.</p>\r\n","blurb":"","authors":[{"authorId":9660,"name":"Steve Owens","slug":"steve-owens","description":" <p><b>Steve Owens</b> is a freelance science writer and presenter with a passion for astronomy. He has been the recipient of the &#39;Campaign for Dark Skies&#39; Award for Dark Sky Preservation, and he was nominated for the Arthur C. Clarke Award for public science engagement. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9660"}}],"primaryCategoryTaxonomy":{"categoryId":33758,"title":"Astronomy","slug":"astronomy","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33758"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive Guide","slug":"how-to-pray-the-rosary","categoryList":["body-mind-spirit","religion-spirituality","christianity","catholicism"],"_links":{"self":"/articles/192609"}},{"articleId":284787,"title":"What Your Society Says About You","slug":"what-your-society-says-about-you","categoryList":["academics-the-arts","humanities"],"_links":{"self":"/articles/284787"}},{"articleId":230957,"title":"Nikon D3400 For Dummies Cheat Sheet","slug":"nikon-d3400-dummies-cheat-sheet","categoryList":["home-auto-hobbies","photography"],"_links":{"self":"/articles/230957"}},{"articleId":208741,"title":"Kabbalah For Dummies Cheat Sheet","slug":"kabbalah-for-dummies-cheat-sheet","categoryList":["body-mind-spirit","religion-spirituality","kabbalah"],"_links":{"self":"/articles/208741"}},{"articleId":299133,"title":"ChatGPT For Dummies Cheat Sheet","slug":"chatgpt-for-dummies-cheat-sheet","categoryList":["technology","information-technology","ai","general-ai"],"_links":{"self":"/articles/299133"}}],"inThisArticle":[],"relatedArticles":{"fromBook":[{"articleId":204306,"title":"10 Stargazing Targets for New Stargazers","slug":"10-stargazing-targets-for-new-stargazers","categoryList":["academics-the-arts","science","astronomy"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/204306"}},{"articleId":204304,"title":"9 Stargazing Marvels to Look For under a Dark Sky","slug":"9-stargazing-marvels-to-look-for-under-a-dark-sky","categoryList":["academics-the-arts","science","astronomy"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/204304"}},{"articleId":170085,"title":"Focusing with Binoculars for Stargazing","slug":"focusing-with-binoculars-for-stargazing","categoryList":["academics-the-arts","science","astronomy"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/170085"}},{"articleId":170075,"title":"Using Orion as a Stargazing Signpost","slug":"using-orion-as-a-stargazing-signpost","categoryList":["academics-the-arts","science","astronomy"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/170075"}},{"articleId":170074,"title":"Using the Big Dipper as a Stargazing Signpost","slug":"using-the-big-dipper-as-a-stargazing-signpost","categoryList":["academics-the-arts","science","astronomy"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/170074"}}],"fromCategory":[{"articleId":300371,"title":"The Autumnal Equinox Marks Our Seasonal Transition","slug":"the-autumnal-equinox-marks-the-transition-to-fall","categoryList":["academics-the-arts","science","astronomy"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/300371"}},{"articleId":292167,"title":"The Magic of the Moon and the Total Lunar Eclipse","slug":"dont-miss-out-on-this-months-lunar-eclipse","categoryList":["academics-the-arts","science","astronomy"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/292167"}},{"articleId":246769,"title":"Skywatching for Artificial Satellites","slug":"skywatching-artificial-satellites","categoryList":["academics-the-arts","science","astronomy"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/246769"}},{"articleId":246764,"title":"Making Heads and Tails of a Comet's Structure","slug":"making-heads-tails-comets-structure","categoryList":["academics-the-arts","science","astronomy"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/246764"}},{"articleId":246761,"title":"Photographing Meteors and Meteor Showers","slug":"photographing-meteors-meteor-showers","categoryList":["academics-the-arts","science","astronomy"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/246761"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":281602,"slug":"stargazing-for-dummies","isbn":"9781118411568","categoryList":["academics-the-arts","science","astronomy"],"amazon":{"default":"https://www.amazon.com/gp/product/1118411560/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1118411560/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1118411560-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1118411560/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1118411560/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/stargazing-for-dummies-cover-9781118411568-165x255.jpg","width":165,"height":255},"title":"Stargazing For Dummies","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p><b data-author-id=\"9660\">Steve Owens</b> is a freelance science writer and presenter with a passion for astronomy. He has been the recipient of the 'Campaign for Dark Skies' Award for Dark Sky Preservation, and he was nominated for the Arthur C. Clarke Award for public science engagement. </p>","authors":[{"authorId":9660,"name":"Steve Owens","slug":"steve-owens","description":" <p><b>Steve Owens</b> is a freelance science writer and presenter with a passion for astronomy. He has been the recipient of the &#39;Campaign for Dark Skies&#39; Award for Dark Sky Preservation, and he was nominated for the Arthur C. Clarke Award for public science engagement. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9660"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;science&quot;,&quot;astronomy&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781118411568&quot;]}]\" id=\"du-slot-668567b7e0211\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;science&quot;,&quot;astronomy&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781118411568&quot;]}]\" id=\"du-slot-668567b7e19de\"></div></div>"},"articleType":{"articleType":"Cheat Sheet","articleList":[{"articleId":170058,"title":"Aligning Your Telescope and Finderscope for Stargazing","slug":"aligning-your-telescope-and-finderscope-for-stargazing","categoryList":["academics-the-arts","science","astronomy"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/170058"}},{"articleId":170085,"title":"Focusing with Binoculars for Stargazing","slug":"focusing-with-binoculars-for-stargazing","categoryList":["academics-the-arts","science","astronomy"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/170085"}},{"articleId":170074,"title":"Using the Big Dipper as a Stargazing Signpost","slug":"using-the-big-dipper-as-a-stargazing-signpost","categoryList":["academics-the-arts","science","astronomy"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/170074"}},{"articleId":170075,"title":"Using Orion as a Stargazing Signpost","slug":"using-orion-as-a-stargazing-signpost","categoryList":["academics-the-arts","science","astronomy"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/170075"}}],"content":[{"title":"Aligning Your Telescope and Finderscope for Stargazing","thumb":null,"image":null,"content":"<p>When you use a telescope for your stargazing, it usually comes with a finderscope, a small attachment which allows you to focus on the correct part of the sky. To align your finderscope and telescope:</p>\n<ol class=\"level-one\">\n<li>\n<p class=\"first-para\">Get your alignment target in the centre of the field of view of your main scope.</p>\n<p class=\"child-para\">Your scope may have come with a cross-hair attachment that you can fit to your eyepiece to help you get the target exactly in the centre.</p>\n</li>\n<li>\n<p class=\"first-para\">Adjust your finderscope using the small screws attached to it, so that your target is exactly in the centre of your crosshairs.</p>\n</li>\n<li>\n<p class=\"first-para\">Keep rechecking and adjusting until you&#8217;re sure your finderscope and telescope are looking in the same direction.</p>\n<p class=\"child-para\">Your telescope and finderscope will be aligned. This means that when you&#8217;re stargazing at night, you can use your finderscope to track things down and be confident that your target will be in view in your main scope, too.</p>\n</li>\n</ol>\n"},{"title":"Focusing with Binoculars for Stargazing","thumb":null,"image":null,"content":"<p>If you use binoculars for your stargazing, you need to get them into focus before you begin. Once your binoculars are focused, the stars you see should look incredibly sharp. You can focus most binoculars in the same way. Just follow this simple step-by-step guide:</p>\n<ol class=\"level-one\">\n<li>\n<p class=\"first-para\">Adjust the separation between the two eyepiece lenses so that they&#8217;re at the same spacing as the distance between your pupils, called the <i>interpupillary distance</i>.</p>\n<p class=\"child-para\">You can usually adjust the separation by holding both halves of the binoculars and physically twisting them apart or together.</p>\n</li>\n<li>\n<p class=\"first-para\">Point your binoculars at something bright but distant.</p>\n<p class=\"child-para\">A planet or a bright star like <i>Sirius</i> or <i>Canopus</i> works well.</p>\n</li>\n<li>\n<p class=\"first-para\">Have a quick look through.</p>\n<p class=\"child-para\">You never know; they may already be in focus!</p>\n</li>\n<li>\n<p class=\"first-para\">Close the eye that looks through the eyepiece with an independent focus.</p>\n<p class=\"child-para\">You may find it easier to put the eyepiece lens-cap back on so that you don&#8217;t have to squint.</p>\n</li>\n<li>\n<p class=\"first-para\">Adjust the focus until your target looks sharp for your left eye.</p>\n<p class=\"child-para\">Use the focus ring normally found at the top of the binoculars on the bridge between both halves.</p>\n</li>\n<li>\n<p class=\"first-para\">Close your left eye and open your right eye (or swap the eyepiece cap onto the other side) and adjust the focus for your right eye using the eyepiece focus, called the <i>dioptre corrector</i><i>.</i></p>\n<p class=\"child-para\">The dioptre corrector is for people who have two eyes of slightly different strengths.</p>\n</li>\n</ol>\n<p class=\"Remember\">You&#8217;re now good to go, but keep in mind that everyone&#8217;s eyes are different. If someone else uses your binoculars, you may have to repeat the focusing process to get them back in focus for your eyes.</p>\n"},{"title":"Using the Big Dipper as a Stargazing Signpost","thumb":null,"image":null,"content":"<p>One of the great signposts in the northern hemisphere sky is the Big Dipper, also known as the Plough, an asterism in the constellation of Ursa Major. If you can find the Big Dipper, then you&#8217;re well on your way to finding lots of other constellations. </p>\n<p class=\"TechnicalStuff\">&#8216;Dipper&#8217; is an American word for a large ladle for scooping liquid. The Big Dipper asterism has three stars in a curve representing the handle, and four stars at the end of the handle representing the scoop.</p>\n<ul class=\"level-one\">\n<li>\n<p class=\"first-para\"><b>Pointers to Ursa Minor:</b> The two brightest stars in Ursa Major, &#945; Ursa Majoris and &#946; Ursa Majoris, lie at one end of the Big Dipper asterism. If you picture this dipper lying down, with the base of the scoop on the &#8216;floor&#8217;, draw a line up from &#946; Ursa Majoris through &#945; Ursa Majoris and keep going until you get to the next bright star, which is Polaris<i>,</i> &#945; Ursa Minoris, the North Star. Polaris lies at the end of the tail of Ursa Minor and the end of the handle of the Little Dipper asterism. The rest of Ursa Minor curves from the North Star towards the four stars in the scoop of the Big Dipper.</p>\n</li>\n<li>\n<p class=\"first-para\"><b>Carry on to Cassiopeia:</b> Draw a line from &#945; and &#946; Ursa Majoris through &#945; Ursa Minoris, the North Star, and go the same distance again on the opposite side of Ursa Minor, and you arrive near the distinct zigzag shape of Cassiopeia (which often looks like a W, an M or an E shape, depending on which position the constellation is in when you&#8217;re observing it).</p>\n</li>\n<li>\n<p class=\"first-para\"><b>Little Dipper pointers to Draco:</b> After you find the North Star using the pointers of the Big Dipper, and once you&#8217;ve found the asterism of Ursa Minor, then lying between the Big and Little Dippers is the curve of stars making up part of the constellation Draco. Locate the head of Draco using the four stars that make up the scoop of the Little Dipper. Imagine the Little Dipper lying down, with the base of the scoop on the &#8216;floor&#8217;, with its handle rising up and to the left. The head of Draco sits &#8216;below&#8217; the scoop.</p>\n</li>\n<li>\n<p class=\"first-para\"><b>Arc to <i>Arcturus</i>:</b> Go to Ursa Major, to the handle of the Big Dipper. The three stars in this handle form an arc, and if you continue this arc, it will lead you to the bright orange star Arcturus<i>,</i> &#945; Bo&#246;tis. This pointer is easy to remember: just arc to <i>Arcturus</i>.</p>\n</li>\n<li>\n<p class=\"first-para\"><b>Spike to Spica:</b> After you arc to Arcturus<i>,</i> continue in that direction in a straight line, driving a spike down to the next bright star, Spica<i>,</i> &#945; Virginis. So remember arc to Arcturus and then drive a spike to Spica.</p>\n</li>\n<li>\n<p class=\"first-para\"><b>Little Dipper arcs to Camelopardalis:</b> Another signpost in this part of the sky uses the tail of Ursa Minor, the handle of the Little Dipper, to arc to Camelopardalis. It&#8217;s not nearly as catchy as arcing to Arcturus<i>,</i> but Camelopardalis is a very faint constellation that&#8217;s hard to find, so having a signpost is very handy.</p>\n</li>\n</ul>\n"},{"title":"Using Orion as a Stargazing Signpost","thumb":null,"image":null,"content":"<p>Orion is great signpost constellation to use for your stargazing. In fact, it may be the very best, because you can use the stars of Orion to find seven other constellations immediately around it.</p>\n<p>The objects you can find using Orion as a signpost are:</p>\n<ul class=\"level-one\">\n<li>\n<p class=\"first-para\"><b>Orion&#8217;s Belt to Canis Major:</b> Picture Orion as a hunter standing upright, with the stars Betelgeuse and Bellatrix marking out his shoulders, and Saiph and Rigel marking out his feet. You can then follow the three stars of Orion&#8217;s Belt down and to the left to find the bright star Sirius (&#945; Canis Majoris) in the constellation Canis Major, the Big Dog.</p>\n</li>\n<li>\n<p class=\"first-para\"><b>Orion&#8217;s shoulders to Canis Minor:</b> Draw a line from Bellatrix through Betelgeuse and keep going to find a solitary bright star, Procyon, &#945; Canis Minoris in the constellation Canis Minor, the Small Dog. Procyon is one of the brightest stars in the sky, so it stands out in this blank patch to Orion&#8217;s left.</p>\n</li>\n<li>\n<p class=\"first-para\"><b>Rigel and Betelgeuse to Gemini:</b> Draw a line from Rigel up past Betelgeuse and keep going until you reach two bright stars shining side by side. These stars are Castor and Pollux<i>,</i> &#945; and &#946; Geminorum, in the constellation Gemini the twins.</p>\n</li>\n<li>\n<p class=\"first-para\"><b>Above Orion&#8217;s head to Auriga:</b> Travelling up from Orion&#8217;s Belt between his two shoulders and past his head, you&#8217;ll soon come to the bright star Capella<i>,</i> &#945; Aurigae, in the constellation Auriga the charioteer.</p>\n</li>\n<li>\n<p class=\"first-para\"><b>Orion&#8217;s Belt to Taurus:</b> Going back to Orion&#8217;s Belt, your next target lies up and to the right, following the line of the belt to the bright star Aldebaran, &#945; Tauri, in the constellation Taurus the Bull. If you keep on following this line, a short distance later you&#8217;ll reach the Seven Sisters, or the Pleiades, star cluster.</p>\n</li>\n<li>\n<p class=\"first-para\"><b>Orion&#8217;s right leg to Eridanus:</b> Just to the right of Orion&#8217;s right foot, Rigel, you&#8217;ll find the first few dim stars in the huge meandering constellation of Eridanus the River. The rest of this constellation snakes down a great distance, ending at the bright star Achernar<i>,</i> not visible from the northern hemisphere.</p>\n</li>\n<li>\n<p class=\"first-para\"><b>Beneath Orion&#8217;s feet to Lepus:</b> Directly beneath Orion&#8217;s feet, you&#8217;ll find the faint constellation of Lepus the Hare.</p>\n</li>\n<li>\n<p class=\"first-para\"><b>Between Canis Major and Minor to Monoceros:</b> Another faint constellation lies in the seemingly blank part of the sky between Canis Major and Canis Minor. If you draw a line from Sirius to Procyon, then you&#8217;ll be passing through Monoceros.</p>\n</li>\n</ul>\n"}],"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Explore","lifeExpectancy":"Five years","lifeExpectancySetFrom":"2024-07-03T00:00:00+00:00","dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":208049},{"headers":{"creationTime":"2016-03-27T16:50:13+00:00","modifiedTime":"2024-05-10T20:18:01+00:00","timestamp":"2024-05-10T21:01:08+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Science","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33756"},"slug":"science","categoryId":33756},{"name":"Quantum Physics","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33770"},"slug":"quantum-physics","categoryId":33770}],"title":"Quantum Physics For Dummies Cheat Sheet","strippedTitle":"quantum physics for dummies cheat sheet","slug":"quantum-physics-for-dummies-cheat-sheet","canonicalUrl":"","seo":{"metaDescription":"nhance your understanding of quantum physics with our Cheat Sheet! Learn useful operators, a method for solving the Schrödinger equation, and more.","noIndex":0,"noFollow":0},"content":"This Cheat Sheet is intended to supplement <a href=\"https://www.dummies.com/book/academics-the-arts/science/quantum-physics/quantum-physics-for-dummies-revised-edition-282518/\"><em>Quantum Physics For Dummies</em>, 3rd edition</a>, by Andrew Zimmerman Jones. It begins by reviewing some useful operators used in quantum mechanics calculations. Then it covers a useful method for solving the Schrödinger equation for the quantum wave function, and then how you can use that wave function to calculate probabilities in quantum physics. Finally, it lays out some key moments in one of the most important discoveries of quantum physics: the understanding of wave-particle duality.","description":"This Cheat Sheet is intended to supplement <a href=\"https://www.dummies.com/book/academics-the-arts/science/quantum-physics/quantum-physics-for-dummies-revised-edition-282518/\"><em>Quantum Physics For Dummies</em>, 3rd edition</a>, by Andrew Zimmerman Jones. It begins by reviewing some useful operators used in quantum mechanics calculations. Then it covers a useful method for solving the Schrödinger equation for the quantum wave function, and then how you can use that wave function to calculate probabilities in quantum physics. Finally, it lays out some key moments in one of the most important discoveries of quantum physics: the understanding of wave-particle duality.","blurb":"","authors":[{"authorId":9499,"name":"Andrew Zimmerman Jones","slug":"andrew-zimmerman-jones","description":" <p><b>Steven Holzner</b> is an award-winning author of technical and science books (like <i>Physics For Dummies</i> and <i>Differential Equations For Dummies</i>). He graduated from MIT and did his PhD in physics at Cornell University, where he was on the teaching faculty for 10 years. He&rsquo;s also been on the faculty of MIT. Steve also teaches corporate groups around the country.</p>","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9499"}}],"primaryCategoryTaxonomy":{"categoryId":33770,"title":"Quantum Physics","slug":"quantum-physics","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33770"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive Guide","slug":"how-to-pray-the-rosary","categoryList":["body-mind-spirit","religion-spirituality","christianity","catholicism"],"_links":{"self":"/articles/192609"}},{"articleId":284787,"title":"What Your Society Says About You","slug":"what-your-society-says-about-you","categoryList":["academics-the-arts","humanities"],"_links":{"self":"/articles/284787"}},{"articleId":230957,"title":"Nikon D3400 For Dummies Cheat Sheet","slug":"nikon-d3400-dummies-cheat-sheet","categoryList":["home-auto-hobbies","photography"],"_links":{"self":"/articles/230957"}},{"articleId":208741,"title":"Kabbalah For Dummies Cheat Sheet","slug":"kabbalah-for-dummies-cheat-sheet","categoryList":["body-mind-spirit","religion-spirituality","kabbalah"],"_links":{"self":"/articles/208741"}},{"articleId":299133,"title":"ChatGPT For Dummies Cheat Sheet","slug":"chatgpt-for-dummies-cheat-sheet","categoryList":["technology","information-technology","ai","general-ai"],"_links":{"self":"/articles/299133"}}],"inThisArticle":[],"relatedArticles":{"fromBook":[{"articleId":161819,"title":"Find the Eigenfunctions of L<i><sub>z</sub></i> in Spherical Coordinates","slug":"find-the-eigenfunctions-of-lz-in-spherical-coordinates","categoryList":["academics-the-arts","science","quantum-physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/161819"}},{"articleId":161818,"title":"Find the Eigenvalues of the Raising and Lowering Angular Momentum Operators","slug":"find-the-eigenvalues-of-the-raising-and-lowering-angular-momentum-operators","categoryList":["academics-the-arts","science","quantum-physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/161818"}},{"articleId":161817,"title":"How Spin Operators Resemble Angular Momentum Operators","slug":"how-spin-operators-resemble-angular-momentum-operators","categoryList":["academics-the-arts","science","quantum-physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/161817"}},{"articleId":161816,"title":"How to Find Angular Momentum Eigenvalues","slug":"how-to-find-angular-momentum-eigenvalues","categoryList":["academics-the-arts","science","quantum-physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/161816"}},{"articleId":161814,"title":"Translate the Schrödinger Equation to Three Dimensions","slug":"translate-the-schrdinger-equation-to-three-dimensions","categoryList":["academics-the-arts","science","quantum-physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/161814"}}],"fromCategory":[{"articleId":194414,"title":"The Laws of Quantum Physics: The Schrödinger Equation","slug":"the-laws-of-quantum-physics-the-schrdinger-equation","categoryList":["academics-the-arts","science","quantum-physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/194414"}},{"articleId":170679,"title":"Spin Operators and Commutation in Quantum Physics","slug":"spin-operators-and-commutation-in-quantum-physics","categoryList":["academics-the-arts","science","quantum-physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/170679"}},{"articleId":161819,"title":"Find the Eigenfunctions of L<i><sub>z</sub></i> in Spherical Coordinates","slug":"find-the-eigenfunctions-of-lz-in-spherical-coordinates","categoryList":["academics-the-arts","science","quantum-physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/161819"}},{"articleId":161818,"title":"Find the Eigenvalues of the Raising and Lowering Angular Momentum Operators","slug":"find-the-eigenvalues-of-the-raising-and-lowering-angular-momentum-operators","categoryList":["academics-the-arts","science","quantum-physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/161818"}},{"articleId":161817,"title":"How Spin Operators Resemble Angular Momentum Operators","slug":"how-spin-operators-resemble-angular-momentum-operators","categoryList":["academics-the-arts","science","quantum-physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/161817"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":282518,"slug":"quantum-physics-for-dummies-revised-edition","isbn":"9781394225507","categoryList":["academics-the-arts","science","quantum-physics"],"amazon":{"default":"https://www.amazon.com/gp/product/1394225504/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1394225504/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1394225504-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1394225504/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1394225504/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/quantum-physics-for-dummies-cover-9781394225507-203x255.jpg","width":203,"height":255},"title":"Quantum Physics For Dummies","testBankPinActivationLink":"","bookOutOfPrint":true,"authorsInfo":"<p><b>Steven Holzner</b> is an award-winning author of technical and science books (like <i>Physics For Dummies</i> and <i>Differential Equations For Dummies</i>). He graduated from MIT and did his PhD in physics at Cornell University, where he was on the teaching faculty for 10 years. He&rsquo;s also been on the faculty of MIT. Steve also teaches corporate groups around the country.</p>","authors":[{"authorId":9499,"name":"Andrew Zimmerman Jones","slug":"andrew-zimmerman-jones","description":" <p><b>Steven Holzner</b> is an award-winning author of technical and science books (like <i>Physics For Dummies</i> and <i>Differential Equations For Dummies</i>). He graduated from MIT and did his PhD in physics at Cornell University, where he was on the teaching faculty for 10 years. He&rsquo;s also been on the faculty of MIT. Steve also teaches corporate groups around the country.</p>","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9499"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;science&quot;,&quot;quantum-physics&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781394225507&quot;]}]\" id=\"du-slot-663e8b14e32ae\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;science&quot;,&quot;quantum-physics&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[&quot;9781394225507&quot;]}]\" id=\"du-slot-663e8b14e589f\"></div></div>"},"articleType":{"articleType":"Cheat Sheet","articleList":[{"articleId":170680,"title":"Quantum Physics and the Hamiltonian","slug":"quantum-physics-and-the-hamiltonian","categoryList":["academics-the-arts","science","physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/170680"}},{"articleId":170690,"title":"Quantum Physics and the Heisenberg Uncertainty Principle","slug":"quantum-physics-and-the-heisenberg-uncertainty-principle","categoryList":[],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/170690"}},{"articleId":170689,"title":"Quantum Physics and the Schrödinger Equation","slug":"quantum-physics-and-the-schrdinger-equation","categoryList":["academics-the-arts","science","physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/170689"}},{"articleId":170679,"title":"Spin Operators and Commutation in Quantum Physics","slug":"spin-operators-and-commutation-in-quantum-physics","categoryList":["academics-the-arts","science","quantum-physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/170679"}},{"articleId":170735,"title":"Quantum Physics and the Compton Effect","slug":"quantum-physics-and-the-compton-effect","categoryList":["academics-the-arts","science","physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/170735"}}],"content":[{"title":"How to denote vectors and operators in quantum physics calculations","thumb":null,"image":null,"content":"<p>The mathematical notation used in quantum physics is known as both <em>bra-ket notation</em> and <em>Dirac notation.</em> It is a way of writing quantum vectors in a simplified notation that enables you to act on them without having to get into particulars of the wave function, except for the specific traits that you want to deal with.</p>\n<h3>Operators</h3>\n<p>An <em>operator</em> is a mathematical rule that, when operating on a ket, transforms it into a new ket.</p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301894\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs001.png\" alt=\"operator rule\" width=\"100\" height=\"73\" /></p>\n<p>Here are several examples of the kinds of operators you’ll see in quantum mechanics calculations:</p>\n<ul>\n<li><strong>Hamiltonian (H).</strong> Applying this operator (which looks different for every different physical situation) gives you E, the energy of the particle represented by the ket. E is a scalar quantity:</li>\n</ul>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301895\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs002.png\" alt=\"Hamiltonian (H) operator\" width=\"109\" height=\"35\" /></p>\n<ul>\n<li><strong>Unity or identity (I).</strong> The unity or identity operator leaves kets unchanged:</li>\n</ul>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301896\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs003.png\" alt=\"Unity or identity (I) operator\" width=\"86\" height=\"35\" /></p>\n<ul>\n<li><strong>Gradient </strong>(<strong>∇</strong><strong>). </strong>This operator employs <em>derivatives</em> (the varying rate of change of a function with respect to the different position variables) and works like this:</li>\n</ul>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301898\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs005.png\" alt=\"\" width=\"314\" height=\"63\" /></p>\n<ul>\n<li><strong>Linear momentum (P).</strong> This operator is used to find the linear momentum; it looks like this in quantum mechanics:</li>\n</ul>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301899\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs006.png\" alt=\"\" width=\"123\" height=\"35\" /></p>\n<ul>\n<li><strong>Laplacian </strong>(<strong>∇<sup>2</sup></strong>). You use this operator, which is much like a second-order gradient, to create the energy-finding Hamiltonian operator:</li>\n</ul>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301901\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs008.png\" alt=\"\" width=\"390\" height=\"63\" /></p>\n<p>An operator A is said to be <em>linear</em> if it meets the following condition:</p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301902\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs009.png\" alt=\"Linear operator\" width=\"300\" height=\"41\" /></p>\n<h3>Hermitian operators</h3>\n<p>For an operator A, the Hermitian adjoint is denoted . Here are some useful relationships concerning Hermitian adjoints:</p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301905\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs010rev.png\" alt=\"Hermitian operator relationship\" width=\"128\" height=\"37\" /></p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301906\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs011rev.png\" alt=\"Hermitian operator relationship\" width=\"85\" height=\"37\" /></p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301907\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs012.png\" alt=\"Hermitian operator relationship\" width=\"148\" height=\"37\" /></p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301908\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs013.png\" alt=\"Hermitian operator relationship\" width=\"113\" height=\"37\" /></p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301909\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs014.png\" alt=\"Hermitian operator relationship\" width=\"147\" height=\"37\" /></p>\n<h3>Commutator</h3>\n<p>The commutator of operators A and B is defined as follows:</p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301911\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs015.png\" alt=\"commutator of operators A and B\" width=\"158\" height=\"37\" /></p>\n<p>Two operators are said to commute if:</p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301912\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs016.png\" alt=\"two operators said to commute\" width=\"94\" height=\"37\" /></p>\n"},{"title":"How to solve the Schrödinger equation","thumb":null,"image":null,"content":"<p>Quantum physics calculations often come down to solving the Schrödinger equation, which relates the Hamiltonian operator (or energy) to the second-order differential of the wave function. There are a few ways to write the equation, and here’s an example that shows some of the key elements:</p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301916\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs017.png\" alt=\"key elements of Schrödinger Equation\" width=\"411\" height=\"63\" /></p>\n<p>Much of the work involved in solving quantum physics equations comes from thinking smarter, not harder, and setting up your equation in a way that makes later steps solvable. You can apply these five general steps toward solving the Schrödinger equation to tackle various problems:</p>\n<ol>\n<li><strong> Determine your coordinates to write the Schrödinger equation.</strong></li>\n<li><strong> Apply specific constraints and simplify, if possible.</strong></li>\n<li><strong> Restructure the Schrödinger equation into a solvable form.</strong></li>\n<li><strong> Solve the differential equation for </strong><strong>y.</strong></li>\n<li><strong> Use the boundary conditions and normalization to find the constants.</strong></li>\n</ol>\n<p>In some cases, the process hits a roadblock and you repeat earlier steps, possibly redefining the approach with the knowledge of the roadblock that you’re trying to circumvent. This repeating and redefining is part of the intuition that quantum physicists try to develop through years of study in solving the Schrödinger equation in more and more complex situations.</p>\n"},{"title":"How to work with quantum probability and the wave function","thumb":null,"image":null,"content":"<p>A key physical quantity of interest in quantum physics is the elusive wave function, <em>Ψ</em>(<em>r</em>, <em>t</em>) (based here on radius, <em><em>r</em>, </em>and time, <em>t</em>). Early in the development of quantum physics, physicist Max Born realized that the wave function was related to the probability that a particle existed in a given location.</p>\n<p>Consider a case where the wave function represents a particle. Mathematically, this is represented by the probability density that the particle will be in a small location, written as follows:</p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301918\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs019.png\" alt=\"probability density that the particle will be in a small location\" width=\"129\" height=\"37\" /></p>\n<p>You get from the probability density to the probability by integrating the probability across the region of space where you are interested in finding the particle. In other words, finding the probability that the particle would be in some location between <em>r</em> = <em>a</em> and <em>r</em> = <em>b</em>, you’d need to perform the following integration:</p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301919\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs20.png\" alt=\"formula for integrating the probability across the region of space where you are interested in finding the particle\" width=\"186\" height=\"63\" /></p>\n<p>This can help you find features of the wave function through the process of normalization, because you know that — if you’re talking about an actual physical particle — it has to exist <em>somewhere</em> in the universe. So, the probability it exists somewhere in the universe is equal to 1, leading you to this integral:</p>\n<p><img loading=\"lazy\" class=\"aligncenter size-full wp-image-301920\" src=\"https://www.dummies.com/wp-content/uploads/9781394225507-eq-cs21.png\" alt=\"integral for probability physical particle exists somewhere in the universe is equal to 1\" width=\"188\" height=\"63\" /></p>\n<p>You can then solve this integral as a means of helping to define <em>Ψ</em>(<em>r</em>, <em>t</em>).</p>\n"},{"title":"A brief history of the wave-particle duality of light","thumb":null,"image":null,"content":"<p>A significant outcome of quantum physics involves resolving two competing theories of light: the particle view and the wave view. Famous scientists such as Newton and Einstein had their own explanations. The transformation in how scientists thought about light, and eventually about matter, is illustrated in this table of the key moments in the developing theories of the wave-particle duality of light.</p>\n<h3>Key moments in wave-particle duality history</h3>\n<table>\n<tbody>\n<tr>\n<th>When It Happened</th>\n<th>What Happened</th>\n</tr>\n<tr>\n<td>Before 1704</td>\n<td>Most natural philosophers, particularly René Descartes and Christiaan Huygens, believed light acted as a wave.</td>\n</tr>\n<tr>\n<td>1704</td>\n<td>Isaac Newton published <em>Opticks</em>, in which he explained light as small particles. The math checked out (and it was Newton after all), so most people went along with the explanation.</td>\n</tr>\n<tr>\n<td>1801</td>\n<td>Thomas Young performed his double slit experiment, which could really only be explained with light acting as a wave.</td>\n</tr>\n<tr>\n<td>1865</td>\n<td>James Clerk Maxwell published the set of four equations that explained light, electricity, and magnetism in the form of electromagnetic waves.</td>\n</tr>\n<tr>\n<td>1887</td>\n<td>Albert Michelson and Edward Morley began their series of experiments that failed to detect the light wave medium, the <em>ether</em>.</td>\n</tr>\n<tr>\n<td>1905</td>\n<td>Albert Einstein explained the photoelectric effect by treating light as discrete little packets, which later came to be known as <em>photons</em>.</td>\n</tr>\n<tr>\n<td>1924</td>\n<td>Louis de Broglie showed that matter also exhibits wave-like properties. He wrote a precise equation describing how a particle’s momentum related to the wavelength of the matter wave.</td>\n</tr>\n</tbody>\n</table>\n"}],"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":"Two years","lifeExpectancySetFrom":"2024-05-10T00:00:00+00:00","dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":208083},{"headers":{"creationTime":"2022-04-19T14:16:54+00:00","modifiedTime":"2024-04-09T16:23:39+00:00","timestamp":"2024-04-09T18:01:36+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Science","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33756"},"slug":"science","categoryId":33756},{"name":"Environmental Science","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33763"},"slug":"environmental-science","categoryId":33763}],"title":"Find New Ways to Go Green This Earth Day","strippedTitle":"find new ways to go green this earth day","slug":"this-earth-day-find-new-ways-to-go-green","canonicalUrl":"","seo":{"metaDescription":"Celebrate Earth Day with Dummies by connecting with nature, learning about the natural environment, or picking up a new eco-friendly habit.","noIndex":0,"noFollow":0},"content":"Celebrate everything that is beautiful about our planet by reconnecting with nature, learning more about the natural environment, or picking up a new eco-friendly habit or two.\r\n\r\nApril 22 is Earth Day — a world-wide celebration commemorating everything that makes our blue-marble planet unique and beautiful, and all the things we can do to protect it.\r\n\r\n[caption id=\"attachment_292124\" align=\"alignnone\" width=\"630\"]<img class=\"wp-image-292124 size-full\" src=\"https://www.dummies.com/wp-content/uploads/earthdayblog-1.jpg\" alt=\"\" width=\"630\" height=\"355\" /> @Elena Mozhvilo / Unsplash[/caption]\r\n\r\nStarting all the way back during the environmental movement of the 1970s, Earth Day has grown to become a powerful motivator for individuals and companies alike to become more environmentally aware and responsible.\r\n\r\nFrom local volunteer cleanups to nation-wide conservation initiatives, this year is no different, with numerous events happening at both the grassroots and state levels.\r\n\r\nWant to join in on the celebration? Find Earth Day events in your area, by visiting <a href=\"https://www.earthday.org/\" target=\"_blank\" rel=\"noopener\">https://www.earthday.org/</a>\r\n<h2 id=\"tab1\" >The first Earth Day</h2>\r\nIn response to public outcry to the Santa Barbara Oil Spill of 1969, U.S. Sen. Gaylord Nelson, a Democrat from Wisconsin, organized a nationwide \"teach-in\" on college campuses about environmental issues to take place on April 22, 1970.\r\n\r\nRep. Pete McCloskey, a Republican from California, joined Nelson as his co-chair to organize the event. More than 2,000 colleges and universities, 10,000 public schools, and 20 million citizens participated. They demonstrated to raise awareness about the health impacts of 150 years of industrial development.\r\n\r\nUnfortunately, today, we face daunting threats from climate change. If you want to make a difference, there are plenty of ways to help and celebrate Earth Day — here are just a few.\r\n\r\n[caption id=\"attachment_292127\" align=\"alignnone\" width=\"630\"]<img class=\"wp-image-292127 size-full\" src=\"https://www.dummies.com/wp-content/uploads/earthdayblog1.jpg\" alt=\"Meat-Free Sausages\" width=\"630\" height=\"473\" /> Vegan alternatives to meat-based products are a great first step towards a more plant-based diet.<br />©LikeMeat / Unsplash.com[/caption]\r\n<h2 id=\"tab2\" >Plant a healthy diet</h2>\r\nYou’ve probably already heard about the massive environmental impact that animal farming has on the planet. It is second only to fossil fuels in terms of contributing to human-made greenhouse gas emissions, the cause of climate change.\r\n\r\nAnd, while the jump from a traditional omnivorous diet to a full-blown vegan one is not something most people can accomplish overnight, cutting down on red meat is a great first step.\r\n\r\nSomething as simple as committing to meat-free Mondays can have a significant influence on your health and the environment. Get started by taking a crack at one or two of our favorite plant-based recipes found in <em><a href=\"https://www.dummies.com/book/body-mind-spirit/physical-health-well-being/diet-nutrition/plant-based-diet/plant-based-diet-cookbook-for-dummies-289784/\" target=\"_blank\" rel=\"noopener\">Plant-Based Diet Cookbook For Dummies</a></em>.\r\n\r\n[caption id=\"attachment_292128\" align=\"alignnone\" width=\"630\"]<img class=\"wp-image-292128 size-full\" src=\"https://www.dummies.com/wp-content/uploads/earthdayblog2.jpg\" alt=\"\" width=\"630\" height=\"354\" /> Gardening is an excellent way to teach kids environmental responsibility.<br />© Surya Prakash / Unsplash.com[/caption]\r\n<h2 id=\"tab3\" >Channel your inner green thumb</h2>\r\nYou don’t need to become an expert horticulturist to help save our planet. Simply buying local or better yet, growing some of your own food can help reduce your carbon footprint — not to mention, teach you valuable transferable skills like diligence and patience. Plus, there’s just something so satisfying about working with your hands, especially if you’re used to working in front of a screen all day.\r\n\r\nYou can start by growing some common herbs like rosemary or thyme. They are fairly resilient and, depending on where you live, can even be grown indoors. If you lack the space to garden, look for farmers markets in your area or, better yet, join a community garden, these gardens are becoming increasingly popular, even in the most urban of cities.\r\n\r\nAs you're planning your garden, think about irrigation and conservation: How can you use the least amount of water while growing your plants? Parts of the world, including in the U.S., are experiencing drought, and fresh, clean water is not something any of us can take for granted. If you need some ideas for conserving water, one excellent resource is: <a href=\"https://www.dummies.com/book/home-auto-hobbies/garden-green-living/landscaping/low-water-landscaping-for-dummies-296546/\" target=\"_blank\" rel=\"noopener\"><em>Low-Water Landscaping For Dummies</em></a>.\r\n\r\nDon't worry if you have no previous gardening knowledge — beginner-friendly resources, such as <em><a href=\"https://www.dummies.com/book/home-auto-hobbies/garden-green-living/gardening/general-gardening/gardening-basics-for-dummies-3rd-edition-282222/\" target=\"_blank\" rel=\"noopener\">Gardening Basics For Dummies</a>,</em> will help you get there.\r\n\r\nYou can also find a farmers market near you using the <a href=\"https://www.ams.usda.gov/local-food-directories/farmersmarkets\" target=\"_blank\" rel=\"noopener\">USDA National Farmers Market Directory</a>.\r\n\r\n[caption id=\"attachment_292129\" align=\"alignnone\" width=\"630\"]<img class=\"wp-image-292129 size-full\" src=\"https://www.dummies.com/wp-content/uploads/earthdayblog3.jpg\" alt=\"\" width=\"630\" height=\"504\" /> © Viki Mohamad / Unsplash.com[/caption]\r\n<h2 id=\"tab4\" >Stay informed</h2>\r\nIt’s no secret that our planet is in grave danger as a result of climate change. But, contrary to what you may feel after reading all the increasingly worrisome headlines, you must remember — there’s still hope.\r\n\r\nAnd, while the biggest contributors of climate change, like animal farming and fossil fuel burning, may seem so far removed from your daily life, you’d be surprised how much of a difference you as an individual can make.\r\n\r\nStaying informed is perhaps the easiest way to help environmental causes. As an informed citizen, you have the power to choose more wisely what products to buy, what companies and practices to support, and even who you vote for in the next election.\r\n\r\nDon't know where to start? Check out <em><a href=\"https://www.dummies.com/book/academics-the-arts/science/environmental-science/climate-change-for-dummies-290945/\" target=\"_blank\" rel=\"noopener\">Climate Change For Dummies</a></em> to help you navigate this complex topic.\r\n\r\n[caption id=\"attachment_292130\" align=\"alignnone\" width=\"630\"]<img class=\"wp-image-292130 size-full\" src=\"https://www.dummies.com/wp-content/uploads/earthdayblog4.jpg\" alt=\"\" width=\"630\" height=\"361\" /> © Noah Buscher / Unsplash.com[/caption]\r\n<h2 id=\"tab5\" >More ways to greenify your life</h2>\r\nThere’s always something more we can do to reduce our environmental impact on the planet, but that should not discourage us from taking action — after all, every little bit counts. One small change in your daily routine today will lead you to more and more lasting changes in the future.\r\n\r\nIf you’re ready to explore even more ways to go green, check out <em><a href=\"https://www.dummies.com/book/home-auto-hobbies/garden-green-living/sustainability/general-sustainability/green-living-for-dummies-281576/\">Green Living For Dummies</a></em> for a more comprehensive guide to sustainable living. We also have a number of other books with invaluable information and ideas for reducing waste by recycling and reusing items in a different areas of our lives. Here are a few of the latest:\r\n<ul>\r\n \t<li><em><a href=\"/book/home-auto-hobbies/travel/sustainable-travel-for-dummies-301428/\" target=\"_blank\" rel=\"noopener\">Sustainable Travel For Dummies</a> </em></li>\r\n \t<li><em><a href=\"/book/home-auto-hobbies/garden-green-living/sustainability/recycling/recycling-for-dummies-298139/\" target=\"_blank\" rel=\"noopener\">Recycling For Dummies</a> </em></li>\r\n \t<li><a href=\"/book/home-auto-hobbies/home-improvement-appliances/general-home-improvement-appliances/upcycling-furniture-and-home-decor-for-dummies-298187/\" target=\"_blank\" rel=\"noopener\"><em>Upcycling Furniture and Home Decor For Dummies</em></a></li>\r\n \t<li><a href=\"/book/home-auto-hobbies/garden-green-living/sustainability/general-sustainability/sustainable-fashion-for-dummies-298171/\" target=\"_blank\" rel=\"noopener\"><em>Sustainable Fashion For Dummies</em></a></li>\r\n</ul>\r\nFrom the team at <em>Dummies</em>, we wish all of our fellow earthlings a happy and green Earth Day.","description":"Celebrate everything that is beautiful about our planet by reconnecting with nature, learning more about the natural environment, or picking up a new eco-friendly habit or two.\r\n\r\nApril 22 is Earth Day — a world-wide celebration commemorating everything that makes our blue-marble planet unique and beautiful, and all the things we can do to protect it.\r\n\r\n[caption id=\"attachment_292124\" align=\"alignnone\" width=\"630\"]<img class=\"wp-image-292124 size-full\" src=\"https://www.dummies.com/wp-content/uploads/earthdayblog-1.jpg\" alt=\"\" width=\"630\" height=\"355\" /> @Elena Mozhvilo / Unsplash[/caption]\r\n\r\nStarting all the way back during the environmental movement of the 1970s, Earth Day has grown to become a powerful motivator for individuals and companies alike to become more environmentally aware and responsible.\r\n\r\nFrom local volunteer cleanups to nation-wide conservation initiatives, this year is no different, with numerous events happening at both the grassroots and state levels.\r\n\r\nWant to join in on the celebration? Find Earth Day events in your area, by visiting <a href=\"https://www.earthday.org/\" target=\"_blank\" rel=\"noopener\">https://www.earthday.org/</a>\r\n<h2 id=\"tab1\" >The first Earth Day</h2>\r\nIn response to public outcry to the Santa Barbara Oil Spill of 1969, U.S. Sen. Gaylord Nelson, a Democrat from Wisconsin, organized a nationwide \"teach-in\" on college campuses about environmental issues to take place on April 22, 1970.\r\n\r\nRep. Pete McCloskey, a Republican from California, joined Nelson as his co-chair to organize the event. More than 2,000 colleges and universities, 10,000 public schools, and 20 million citizens participated. They demonstrated to raise awareness about the health impacts of 150 years of industrial development.\r\n\r\nUnfortunately, today, we face daunting threats from climate change. If you want to make a difference, there are plenty of ways to help and celebrate Earth Day — here are just a few.\r\n\r\n[caption id=\"attachment_292127\" align=\"alignnone\" width=\"630\"]<img class=\"wp-image-292127 size-full\" src=\"https://www.dummies.com/wp-content/uploads/earthdayblog1.jpg\" alt=\"Meat-Free Sausages\" width=\"630\" height=\"473\" /> Vegan alternatives to meat-based products are a great first step towards a more plant-based diet.<br />©LikeMeat / Unsplash.com[/caption]\r\n<h2 id=\"tab2\" >Plant a healthy diet</h2>\r\nYou’ve probably already heard about the massive environmental impact that animal farming has on the planet. It is second only to fossil fuels in terms of contributing to human-made greenhouse gas emissions, the cause of climate change.\r\n\r\nAnd, while the jump from a traditional omnivorous diet to a full-blown vegan one is not something most people can accomplish overnight, cutting down on red meat is a great first step.\r\n\r\nSomething as simple as committing to meat-free Mondays can have a significant influence on your health and the environment. Get started by taking a crack at one or two of our favorite plant-based recipes found in <em><a href=\"https://www.dummies.com/book/body-mind-spirit/physical-health-well-being/diet-nutrition/plant-based-diet/plant-based-diet-cookbook-for-dummies-289784/\" target=\"_blank\" rel=\"noopener\">Plant-Based Diet Cookbook For Dummies</a></em>.\r\n\r\n[caption id=\"attachment_292128\" align=\"alignnone\" width=\"630\"]<img class=\"wp-image-292128 size-full\" src=\"https://www.dummies.com/wp-content/uploads/earthdayblog2.jpg\" alt=\"\" width=\"630\" height=\"354\" /> Gardening is an excellent way to teach kids environmental responsibility.<br />© Surya Prakash / Unsplash.com[/caption]\r\n<h2 id=\"tab3\" >Channel your inner green thumb</h2>\r\nYou don’t need to become an expert horticulturist to help save our planet. Simply buying local or better yet, growing some of your own food can help reduce your carbon footprint — not to mention, teach you valuable transferable skills like diligence and patience. Plus, there’s just something so satisfying about working with your hands, especially if you’re used to working in front of a screen all day.\r\n\r\nYou can start by growing some common herbs like rosemary or thyme. They are fairly resilient and, depending on where you live, can even be grown indoors. If you lack the space to garden, look for farmers markets in your area or, better yet, join a community garden, these gardens are becoming increasingly popular, even in the most urban of cities.\r\n\r\nAs you're planning your garden, think about irrigation and conservation: How can you use the least amount of water while growing your plants? Parts of the world, including in the U.S., are experiencing drought, and fresh, clean water is not something any of us can take for granted. If you need some ideas for conserving water, one excellent resource is: <a href=\"https://www.dummies.com/book/home-auto-hobbies/garden-green-living/landscaping/low-water-landscaping-for-dummies-296546/\" target=\"_blank\" rel=\"noopener\"><em>Low-Water Landscaping For Dummies</em></a>.\r\n\r\nDon't worry if you have no previous gardening knowledge — beginner-friendly resources, such as <em><a href=\"https://www.dummies.com/book/home-auto-hobbies/garden-green-living/gardening/general-gardening/gardening-basics-for-dummies-3rd-edition-282222/\" target=\"_blank\" rel=\"noopener\">Gardening Basics For Dummies</a>,</em> will help you get there.\r\n\r\nYou can also find a farmers market near you using the <a href=\"https://www.ams.usda.gov/local-food-directories/farmersmarkets\" target=\"_blank\" rel=\"noopener\">USDA National Farmers Market Directory</a>.\r\n\r\n[caption id=\"attachment_292129\" align=\"alignnone\" width=\"630\"]<img class=\"wp-image-292129 size-full\" src=\"https://www.dummies.com/wp-content/uploads/earthdayblog3.jpg\" alt=\"\" width=\"630\" height=\"504\" /> © Viki Mohamad / Unsplash.com[/caption]\r\n<h2 id=\"tab4\" >Stay informed</h2>\r\nIt’s no secret that our planet is in grave danger as a result of climate change. But, contrary to what you may feel after reading all the increasingly worrisome headlines, you must remember — there’s still hope.\r\n\r\nAnd, while the biggest contributors of climate change, like animal farming and fossil fuel burning, may seem so far removed from your daily life, you’d be surprised how much of a difference you as an individual can make.\r\n\r\nStaying informed is perhaps the easiest way to help environmental causes. As an informed citizen, you have the power to choose more wisely what products to buy, what companies and practices to support, and even who you vote for in the next election.\r\n\r\nDon't know where to start? Check out <em><a href=\"https://www.dummies.com/book/academics-the-arts/science/environmental-science/climate-change-for-dummies-290945/\" target=\"_blank\" rel=\"noopener\">Climate Change For Dummies</a></em> to help you navigate this complex topic.\r\n\r\n[caption id=\"attachment_292130\" align=\"alignnone\" width=\"630\"]<img class=\"wp-image-292130 size-full\" src=\"https://www.dummies.com/wp-content/uploads/earthdayblog4.jpg\" alt=\"\" width=\"630\" height=\"361\" /> © Noah Buscher / Unsplash.com[/caption]\r\n<h2 id=\"tab5\" >More ways to greenify your life</h2>\r\nThere’s always something more we can do to reduce our environmental impact on the planet, but that should not discourage us from taking action — after all, every little bit counts. One small change in your daily routine today will lead you to more and more lasting changes in the future.\r\n\r\nIf you’re ready to explore even more ways to go green, check out <em><a href=\"https://www.dummies.com/book/home-auto-hobbies/garden-green-living/sustainability/general-sustainability/green-living-for-dummies-281576/\">Green Living For Dummies</a></em> for a more comprehensive guide to sustainable living. We also have a number of other books with invaluable information and ideas for reducing waste by recycling and reusing items in a different areas of our lives. Here are a few of the latest:\r\n<ul>\r\n \t<li><em><a href=\"/book/home-auto-hobbies/travel/sustainable-travel-for-dummies-301428/\" target=\"_blank\" rel=\"noopener\">Sustainable Travel For Dummies</a> </em></li>\r\n \t<li><em><a href=\"/book/home-auto-hobbies/garden-green-living/sustainability/recycling/recycling-for-dummies-298139/\" target=\"_blank\" rel=\"noopener\">Recycling For Dummies</a> </em></li>\r\n \t<li><a href=\"/book/home-auto-hobbies/home-improvement-appliances/general-home-improvement-appliances/upcycling-furniture-and-home-decor-for-dummies-298187/\" target=\"_blank\" rel=\"noopener\"><em>Upcycling Furniture and Home Decor For Dummies</em></a></li>\r\n \t<li><a href=\"/book/home-auto-hobbies/garden-green-living/sustainability/general-sustainability/sustainable-fashion-for-dummies-298171/\" target=\"_blank\" rel=\"noopener\"><em>Sustainable Fashion For Dummies</em></a></li>\r\n</ul>\r\nFrom the team at <em>Dummies</em>, we wish all of our fellow earthlings a happy and green Earth Day.","blurb":"","authors":[{"authorId":8947,"name":"The Experts at Dummies","slug":"the-experts-at-dummies","description":"The Experts at Dummies are smart, friendly people who make learning easy by taking a not-so-serious approach to serious stuff.","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8947"}}],"primaryCategoryTaxonomy":{"categoryId":33763,"title":"Environmental Science","slug":"environmental-science","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33763"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":[{"articleId":192609,"title":"How to Pray the Rosary: A Comprehensive Guide","slug":"how-to-pray-the-rosary","categoryList":["body-mind-spirit","religion-spirituality","christianity","catholicism"],"_links":{"self":"/articles/192609"}},{"articleId":284787,"title":"What Your Society Says About You","slug":"what-your-society-says-about-you","categoryList":["academics-the-arts","humanities"],"_links":{"self":"/articles/284787"}},{"articleId":230957,"title":"Nikon D3400 For Dummies Cheat Sheet","slug":"nikon-d3400-dummies-cheat-sheet","categoryList":["home-auto-hobbies","photography"],"_links":{"self":"/articles/230957"}},{"articleId":208741,"title":"Kabbalah For Dummies Cheat Sheet","slug":"kabbalah-for-dummies-cheat-sheet","categoryList":["body-mind-spirit","religion-spirituality","kabbalah"],"_links":{"self":"/articles/208741"}},{"articleId":299133,"title":"ChatGPT For Dummies Cheat Sheet","slug":"chatgpt-for-dummies-cheat-sheet","categoryList":["technology","information-technology","ai","general-ai"],"_links":{"self":"/articles/299133"}}],"inThisArticle":[{"label":"The first Earth Day","target":"#tab1"},{"label":"Plant a healthy diet","target":"#tab2"},{"label":"Channel your inner green thumb","target":"#tab3"},{"label":"Stay informed","target":"#tab4"},{"label":"More ways to greenify your life","target":"#tab5"}],"relatedArticles":{"fromBook":[],"fromCategory":[{"articleId":299302,"title":"How Is Climate Change Affecting Wildfires?","slug":"how-is-climate-change-affecting-wildfires","categoryList":["academics-the-arts","science","environmental-science"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/299302"}},{"articleId":298355,"title":"How Individuals Contribute to Climate Change","slug":"how-your-personal-decisions-impact-climate-change","categoryList":["academics-the-arts","science","environmental-science"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/298355"}},{"articleId":298197,"title":"How Does Climate Change Affect Storms?","slug":"how-does-climate-change-affect-storms","categoryList":["academics-the-arts","science","environmental-science"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/298197"}},{"articleId":291362,"title":"Climate Change For Dummies Cheat Sheet","slug":"climate-change-for-dummies-cheat-sheet","categoryList":["academics-the-arts","science","environmental-science"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/291362"}},{"articleId":284309,"title":"Check Out the Bones on Those Osteichthyes!","slug":"check-out-the-bones-on-those-osteichthyes","categoryList":["academics-the-arts","science","environmental-science"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/284309"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":0,"slug":null,"isbn":null,"categoryList":null,"amazon":null,"image":null,"title":null,"testBankPinActivationLink":null,"bookOutOfPrint":false,"authorsInfo":null,"authors":null,"_links":null},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;science&quot;,&quot;environmental-science&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[null]}]\" id=\"du-slot-661582807d354\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;science&quot;,&quot;environmental-science&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[null]}]\" id=\"du-slot-661582807f01c\"></div></div>"},"articleType":{"articleType":"Articles","articleList":null,"content":null,"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Explore","lifeExpectancy":"Six months","lifeExpectancySetFrom":"2022-04-18T00:00:00+00:00","dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":292097},{"headers":{"creationTime":"2018-03-16T02:45:10+00:00","modifiedTime":"2024-03-20T14:31:16+00:00","timestamp":"2024-03-20T15:01:18+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Science","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33756"},"slug":"science","categoryId":33756},{"name":"Chemistry","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33762"},"slug":"chemistry","categoryId":33762}],"title":"How to Build Derived Units from Base Units","strippedTitle":"how to build derived units from base units","slug":"build-derived-units-base-units","canonicalUrl":"","seo":{"metaDescription":"Learn formulas for common derived units, including area, volume, density, and pressure.","noIndex":0,"noFollow":0},"content":"Chemists aren’t satisfied with measuring length, mass, temperature, and time alone. On the contrary, chemistry often deals in calculated quantities. These kinds of quantities are expressed with <em>derived units,</em> which are built from combinations of base units.\r\n\r\nHere are some examples:\r\n<ul>\r\n \t<li><strong>Area (for example, catalytic surface)</strong>.</li>\r\n</ul>\r\n<img class=\"alignnone size-full wp-image-251011\" src=\"https://www.dummies.com/wp-content/uploads/CHEM_0401.jpg\" alt=\"CHEM_0401\" width=\"164\" height=\"23\" />\r\n<p style=\"padding-left: 30px;\">and area has units of length squared (square meters, or m<sup>2</sup>, for example).</p>\r\n\r\n<ul>\r\n \t<li><strong>Volume (of a reaction vessel, for example).</strong> You calculate volume by using the familiar formula</li>\r\n</ul>\r\n<img class=\"alignnone size-full wp-image-251012\" src=\"https://www.dummies.com/wp-content/uploads/CHEM_0402.jpg\" alt=\"CHEM_0402\" width=\"245\" height=\"23\" />\r\n<p style=\"padding-left: 30px;\">Because length, width, and height are all length units, you end up with</p>\r\n<img class=\"alignnone size-full wp-image-251013\" src=\"https://www.dummies.com/wp-content/uploads/CHEM_0403.jpg\" alt=\"CHEM_0403\" width=\"179\" height=\"23\" />\r\n<p style=\"padding-left: 30px;\">or a length cubed (for example, cubic meters, or m³).</p>\r\n\r\n<ul>\r\n \t<li><strong>Density (of an unidentified substance).</strong> Density, arguably the most important derived unit to a chemist, is built by using the basic formula Density = Mass / Volume.</li>\r\n \t<li><strong>Pressure (of gaseous reactants, for example):</strong> Pressure units are derived using the formula Pressure = Force / Area.</li>\r\n</ul>\r\n<p style=\"padding-left: 30px;\">The SI units for force and area are newtons (N) and square meters (m²), so the SI unit of pressure, the pascal (Pa), can be expressed as N/m².</p>\r\nLet’s try an example. A physicist measures the density of a substance to be 20 kg/m³. His chemist colleague, appalled with the excessively large units, decides to change the units of the measurement to the more familiar grams per cubic centimeter. What is the new expression of the density?\r\n\r\nThe answer is <strong>0.02 g/cm³. </strong>\r\n\r\nA kilogram contains 1,000 (10³) grams, so 20 kg equals 20,000 g. Well, 100 cm = 1 m; therefore, (100 cm)³= (1 m)³. In other words, there are 100³ (or 10<span style=\"margin: 0px; font-family: 'Times New Roman',serif; font-size: 9.5pt;\"><sup><span style=\"color: #000000;\">6</span></sup></span>) cubic centimeters in 1 cubic meter. Doing the division gives you 0.02 g/cm³. You can write out the conversion as follows:\r\n\r\n<img class=\"alignnone size-full wp-image-251014\" src=\"https://www.dummies.com/wp-content/uploads/CHEM_0404.jpg\" alt=\"CHEM_0404\" width=\"267\" height=\"61\" />","description":"Chemists aren’t satisfied with measuring length, mass, temperature, and time alone. On the contrary, chemistry often deals in calculated quantities. These kinds of quantities are expressed with <em>derived units,</em> which are built from combinations of base units.\r\n\r\nHere are some examples:\r\n<ul>\r\n \t<li><strong>Area (for example, catalytic surface)</strong>.</li>\r\n</ul>\r\n<img class=\"alignnone size-full wp-image-251011\" src=\"https://www.dummies.com/wp-content/uploads/CHEM_0401.jpg\" alt=\"CHEM_0401\" width=\"164\" height=\"23\" />\r\n<p style=\"padding-left: 30px;\">and area has units of length squared (square meters, or m<sup>2</sup>, for example).</p>\r\n\r\n<ul>\r\n \t<li><strong>Volume (of a reaction vessel, for example).</strong> You calculate volume by using the familiar formula</li>\r\n</ul>\r\n<img class=\"alignnone size-full wp-image-251012\" src=\"https://www.dummies.com/wp-content/uploads/CHEM_0402.jpg\" alt=\"CHEM_0402\" width=\"245\" height=\"23\" />\r\n<p style=\"padding-left: 30px;\">Because length, width, and height are all length units, you end up with</p>\r\n<img class=\"alignnone size-full wp-image-251013\" src=\"https://www.dummies.com/wp-content/uploads/CHEM_0403.jpg\" alt=\"CHEM_0403\" width=\"179\" height=\"23\" />\r\n<p style=\"padding-left: 30px;\">or a length cubed (for example, cubic meters, or m³).</p>\r\n\r\n<ul>\r\n \t<li><strong>Density (of an unidentified substance).</strong> Density, arguably the most important derived unit to a chemist, is built by using the basic formula Density = Mass / Volume.</li>\r\n \t<li><strong>Pressure (of gaseous reactants, for example):</strong> Pressure units are derived using the formula Pressure = Force / Area.</li>\r\n</ul>\r\n<p style=\"padding-left: 30px;\">The SI units for force and area are newtons (N) and square meters (m²), so the SI unit of pressure, the pascal (Pa), can be expressed as N/m².</p>\r\nLet’s try an example. A physicist measures the density of a substance to be 20 kg/m³. His chemist colleague, appalled with the excessively large units, decides to change the units of the measurement to the more familiar grams per cubic centimeter. What is the new expression of the density?\r\n\r\nThe answer is <strong>0.02 g/cm³. </strong>\r\n\r\nA kilogram contains 1,000 (10³) grams, so 20 kg equals 20,000 g. Well, 100 cm = 1 m; therefore, (100 cm)³= (1 m)³. In other words, there are 100³ (or 10<span style=\"margin: 0px; font-family: 'Times New Roman',serif; font-size: 9.5pt;\"><sup><span style=\"color: #000000;\">6</span></sup></span>) cubic centimeters in 1 cubic meter. Doing the division gives you 0.02 g/cm³. You can write out the conversion as follows:\r\n\r\n<img class=\"alignnone size-full wp-image-251014\" src=\"https://www.dummies.com/wp-content/uploads/CHEM_0404.jpg\" alt=\"CHEM_0404\" width=\"267\" height=\"61\" />","blurb":"","authors":[{"authorId":9160,"name":"Chris Hren","slug":"chris-hren","description":" <p><b>Christopher Hren</b> is a high school chemistry teacher and former track and football coach. <b>Peter J. Mikulecky, PhD,</b> teaches biology and chemistry at Fusion Learning Center and Fusion Academy. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9160"}},{"authorId":9161,"name":"Peter J. Mikulecky","slug":"peter-j-mikulecky","description":" <p><b>Christopher R. Hren </b>has taught high school chemistry, honors chemistry, and AP Chemistry for more than 15 years. <p><b>John T. Moore, EdD,</b> has taught chemistry at Stephen F. Austin State University in Nacogdoches, Texas, for more than 40 years. <p><b>Peter J. Mikulecky, PhD,</b> teaches science and math at Fusion Learning Center and Fusion Academy, and is a technical writer. 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Astronomy Stargazing: Following the Zodiac

Article / Updated 02-28-2025

Just as you can mark the Moon’s position each night against the fixed stars and constellation patterns, you can mark the planets, too. The planets also make paths against the fixed stars. Over the course of a year, these paths join into one line that circles the entire sky. This line is known as the zodiac, and its more scientific name is the ecliptic. This ecliptic line passes through the signs of the zodiac, which comprises 12 familiar constellations as shown in the figure: Aries Taurus Gemini Cancer Leo Virgo Libra Scorpius Sagittarius Capricornus Aquarius Pisces Contrary to popular belief, however, the zodiac actually has 13 signs, not 12. The thirteenth sign is called Ophiuchus the Serpent-bearer. Don’t worry if you’ve never heard of him – most people haven’t! He sits between Scorpius and Sagittarius, and so the Sun, Moon and planets all spend a bit of time in Ophiuchus each time they move around the sky. Whenever you see a planet, the Sun or the Moon in the sky, it always lies somewhere in one of the signs of the zodiac. You can find out where a planet is on the ecliptic by looking it up online – a search for ‘Jupiter position April’ should give you lots of websites that will tell you where to look for Jupiter in April. Alternatively, you may want to subscribe to an astronomy magazine. These monthly publications list all the planets that are up in the sky for the particular month, and feature maps that show you where to find them.

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Biology Biomechanics For Dummies Cheat Sheet

Cheat Sheet / Updated 12-05-2024

Biomechanics has all kinds of practical applications — from the construction of running shoes to ankle braces to low-back pain to weightlifting. Knowing how the body moves because of the forces applied to the body is key to getting the most out of your athletic performance, and your daily life.

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Botany Botany For Dummies Cheat Sheet

Cheat Sheet / Updated 11-13-2024

Botany is the study of plants. Plants are very similar to people in a lot of ways, but they also have some differences that can be hard to wrap your brain around. And, like any science class, botany can get a little overwhelming at times. So, here are a few items to help you grasp some of the big ideas in botany.

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Environmental Science What to Do before a Hurricane Reaches You

Article / Updated 08-08-2024

Hurricanes are scary, and few people think clearly under that stress. Additionally, a lot of what you need to do to best weather a storm starts well ahead of hurricane season — which runs from late May through November. Start your hurricane safety plan ahead of a storm, while things are calm. The following steps put you and your family in the best position to protect your home and yourselves when a hurricane is on its way. Have an evacuation plan ready. Determine whether you’re in an evacuation zone and watch for updates; the course of a storm may change. Scout your yard and remove any furniture or other items that may get picked up by the wind and fly through windows or otherwise cause destruction. Put any important documents in a watertight container, along with medications and insurance cards. Charge your phone and any other devices you plan to use or carry with you. Turn your fridge to the coldest setting and put a thermometer in there. You’re likely to lose electricity, and a colder starting temp will keep your food cold longer. The thermometer will let you know whether your milk is a lost cause when the electricity’s back. Look into hurricane insurance If you live in an area commonly hit by hurricanes, standard homeowner’s insurance isn’t going to provide everything you need. Such a policy addresses structural damage and typically includes a higher deductible whenever that damage arises from a hurricane. And it may be inadequate to cover your costs for rebuilding and the living expenses you pay while you rebuild. Be sure to look closely at coverage for additional living expenses (ALE), which are essential after extensive storm damage that requires you to rent living space while damage is repaired. Find out what your policy covers and what it excludes. For example, a standard homeowner’s policy probably doesn't cover damage from sewer backups, which are common after major storms. You actually can buy a specific policy for this instance. Much of the damage from a hurricane comes from flooding, which also requires a separate policy. To get the full value from the policies you do buy, make sure you have a complete inventory of what you own and how much it’s worth. Doing so will make filing claims later on much smoother. Keep this documentation and your policies in a water-safe container that you can easily move with you when you evacuate. If you rent or own an apartment in a co-op, you need your own insurance policies, but you also want to be aware of the coverage your building has in place. Hurricane “watch” or “warning?” What makes a watch different from a warning? These terms actually have very specific meanings. A hurricane watch tells you that hurricane-force winds may appear within 48 hours. If you hear a hurricane warning, know that you’re likely to encounter hurricane-force winds within 36 hours. Warnings usually are issued for about 300 miles of coastline at a time. Although satellite technology makes predicting a storm’s approach easy, determining exactly where it will make landfall is still difficult. If you are told to evacuate ahead of a hurricane, never hesitate. Leave as soon as possible. But, if whatever reason, you are unable to get out and find yourself caught in the storm, here's how to survive. Address kids, pets, and special needs during a storm Maybe one family member needs to keep insulin at a just-right temperature, or you have a dog who requires eye drops every four hours. Situations like these require more detailed planning. Be sure to think through a week’s worth of needs for each family member. That may mean finding a physician and forwarding medical records to a medical center in the city where you’ll wait out the storm at your cousin’s house, or it may require even more careful planning. Just make sure that as soon as you know a storm is possible, you carefully consider each family member’s needs for several days. Include the pets, the kids, and the grandma you’ll pick up on the way out of town. For pets and kids, concerns aren’t all that different: Be ready to feed and distract, at a minimum. You need to prepare whatever food, drinks, and toys or special objects will keep the kids and pets as content as possible during the storm. Make sure that your pets have been microchipped or that they’re wearing ID tags. It’s all too easy to become separated during the chaos of a storm. If your kids attend school or daycare, make sure that you know the schools’ evacuation plans. Laminate an “in case of emergency” card for each child that includes your contact information and that of a friend or relative who lives elsewhere and may be able to provide a safe place to stay if a storm arises. As much as possible, keep up your routines, which will reassure members of your family who rely on you. Your kids especially look to you for cues about how to act, so do your best to keep calm. Prepare a storm evacuation plan Uprooting your life in response to an incoming storm presents a host of challenges, like where you’ll end up and who’s in charge of the pet-food supply. Make the transition as smooth as possible by having an evacuation plan in place. It should cover the following: Where you’ll meet if you become separated: Pick a place close to home and one farther away where you can meet up, and choose a family member to serve as point person. This person is who everyone checks in with if you can’t stay in one place. Where you’ll stay: Identify a couple of options ahead of time. Shelters will arise nearby (use FEMA.gov to find them), or maybe a hospitable friend or family member lives outside the evacuation zone. If you have pets, this part of the planning is trickier; most shelters accept only service dogs. How you’ll get there: If you have a car, make sure it’s in good working order and your gas tank is full. If not, plan farther ahead for public transportation (which will shut down as the storm nears) or for someone to drive you. Supplies: Get your disaster supplies kit ready well ahead of time. Grab a phone charger for the car, and if you’re traveling far, have snacks and distractions ready — especially if you’re traveling with kids. Maps: Downed trees or flooding may require you to change your route at the last moment, so be ready with low-tech navigation that cannot let you down no matter the circumstances. IDs and cash: Appoint a family member to make sure everyone has an ID and a little bit of cash. Don’t let this be the time you’re caught with your wallet in your gym bag. Updates: If you don’t want to keep tuned to the weather on the car radio, ask one person to track the storm until you’re safely out of range. Emergency instructions sometimes change as the storm progresses, and you need to have the latest information as you evacuate. Notice: Identify a close friend or family member to check in with when you leave and when you have arrived at shelter outside the evacuation zone. Resolve: Staying in your home is tempting, even when you’ve been ordered to evacuate. Resolve, as a household, to follow those orders and accept no alternatives. Hurricanes are deadly. Agreeing ahead of time that you’ll evacuate can save valuable time debating the issue later. If you’re on the coast, get out well in advance of the storm surge When a hurricane pushes ocean water ashore, that push is called a storm surge and is responsible for more deaths and damage than any other part of the storm. Depending on how and where the storm hits, a storm surge — measured in how far above sea level the water rises — can bring almost 30 feet of water to land. This water moves at high speed, bringing tremendous destructive power to everything in its path. These surges are unpredictable, and they often arrive before the storms themselves. When they hit, water levels can rise ten feet in just minutes. Help cannot make it to you under these circumstances, and you are unlikely to be able to drive away from a storm surge. If you’re near a coast and anywhere close to a hurricane’s path, you must evacuate. If you see it coming, it’s too late. The surge can easily go from an inch to several feet before you even make it out of your driveway. Keep an axe in your attic so that if for some reason you are trapped in your home during a surge, you have an escape route through the roof. Travel to hurricane prone areas Because hurricanes happen near coastlines, a lot of popular vacation spots are susceptible. When you’re thinking about planning a vacation, take a look at the storm season before you book tickets and hotel rooms. Travel insurance that covers natural disasters can help, and you should check with hotels and airlines about policies regarding refunds or rescheduling in the event of a storm. For official communications related to hurricanes, please visit the websites of FEMA, Department of Homeland Security, and the National Hurricane Center for the latest information. Please note that this is general preparedness information, not specific to a particular storm.

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Neuroscience Neurobiology For Dummies Cheat Sheet

Cheat Sheet / Updated 07-27-2024

Neurobiology has all kinds of real-world (and not so real-world) applications. From curing paralysis to the possibility of cyborgs, neurobiology has answers to many fascinating questions this Cheat Sheet addresses.

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Biology Biostatistics For Dummies Cheat Sheet

Cheat Sheet / Updated 07-27-2024

To estimate sample size in biostatistics, you must state the effect size of importance, or the effect size worth knowing about. If the true effect size is less than the “important” size, you don’t care if the test comes out nonsignificant. With a few shortcuts, you can pick an important effect size and find out how many participants you need, based on that effect size, for several common statistical tests. All the graphs, tables, and rules of thumb here are for 80 percent power and α = 0.05. In other words, the guidance applies to calculating sample size you need in order to have an 80 percent chance of getting a p value that’s less than or equal to 0.05. If you want sample sizes for other values of power and α, use these simple scale-up rules: For 90 percent power instead of 80 percent: Increase N by a third (multiply N by 1.33). For α = 0.01 instead of 0.05: Increase N by a half (multiply N by 1.5). For 90 percent power and α = 0.01: Double N (multiply N by 2).

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Astronomy Stargazing For Dummies Cheat Sheet (UK Edition)

Cheat Sheet / Updated 07-03-2024

Stargazing is a fascinating hobby, but there’s an awful lot to gaze at up there. Eighty-eight constellations and hundreds of other objects both bright and faint mean that wherever you look when you’re stargazing, there’s something to see. If you want to make sense of it all, and make sure that your kit is properly set up, this Cheat Sheet is here to help.

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Quantum Physics Quantum Physics For Dummies Cheat Sheet

Cheat Sheet / Updated 05-10-2024

This Cheat Sheet is intended to supplement Quantum Physics For Dummies, 3rd edition, by Andrew Zimmerman Jones. It begins by reviewing some useful operators used in quantum mechanics calculations. Then it covers a useful method for solving the Schrödinger equation for the quantum wave function, and then how you can use that wave function to calculate probabilities in quantum physics. Finally, it lays out some key moments in one of the most important discoveries of quantum physics: the understanding of wave-particle duality.

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Environmental Science Find New Ways to Go Green This Earth Day

Article / Updated 04-09-2024

Celebrate everything that is beautiful about our planet by reconnecting with nature, learning more about the natural environment, or picking up a new eco-friendly habit or two. April 22 is Earth Day — a world-wide celebration commemorating everything that makes our blue-marble planet unique and beautiful, and all the things we can do to protect it. Starting all the way back during the environmental movement of the 1970s, Earth Day has grown to become a powerful motivator for individuals and companies alike to become more environmentally aware and responsible. From local volunteer cleanups to nation-wide conservation initiatives, this year is no different, with numerous events happening at both the grassroots and state levels. Want to join in on the celebration? Find Earth Day events in your area, by visiting https://www.earthday.org/ The first Earth Day In response to public outcry to the Santa Barbara Oil Spill of 1969, U.S. Sen. Gaylord Nelson, a Democrat from Wisconsin, organized a nationwide "teach-in" on college campuses about environmental issues to take place on April 22, 1970. Rep. Pete McCloskey, a Republican from California, joined Nelson as his co-chair to organize the event. More than 2,000 colleges and universities, 10,000 public schools, and 20 million citizens participated. They demonstrated to raise awareness about the health impacts of 150 years of industrial development. Unfortunately, today, we face daunting threats from climate change. If you want to make a difference, there are plenty of ways to help and celebrate Earth Day — here are just a few. Plant a healthy diet You’ve probably already heard about the massive environmental impact that animal farming has on the planet. It is second only to fossil fuels in terms of contributing to human-made greenhouse gas emissions, the cause of climate change. And, while the jump from a traditional omnivorous diet to a full-blown vegan one is not something most people can accomplish overnight, cutting down on red meat is a great first step. Something as simple as committing to meat-free Mondays can have a significant influence on your health and the environment. Get started by taking a crack at one or two of our favorite plant-based recipes found in Plant-Based Diet Cookbook For Dummies. Channel your inner green thumb You don’t need to become an expert horticulturist to help save our planet. Simply buying local or better yet, growing some of your own food can help reduce your carbon footprint — not to mention, teach you valuable transferable skills like diligence and patience. Plus, there’s just something so satisfying about working with your hands, especially if you’re used to working in front of a screen all day. You can start by growing some common herbs like rosemary or thyme. They are fairly resilient and, depending on where you live, can even be grown indoors. If you lack the space to garden, look for farmers markets in your area or, better yet, join a community garden, these gardens are becoming increasingly popular, even in the most urban of cities. As you're planning your garden, think about irrigation and conservation: How can you use the least amount of water while growing your plants? Parts of the world, including in the U.S., are experiencing drought, and fresh, clean water is not something any of us can take for granted. If you need some ideas for conserving water, one excellent resource is: Low-Water Landscaping For Dummies. Don't worry if you have no previous gardening knowledge — beginner-friendly resources, such as Gardening Basics For Dummies, will help you get there. You can also find a farmers market near you using the USDA National Farmers Market Directory. Stay informed It’s no secret that our planet is in grave danger as a result of climate change. But, contrary to what you may feel after reading all the increasingly worrisome headlines, you must remember — there’s still hope. And, while the biggest contributors of climate change, like animal farming and fossil fuel burning, may seem so far removed from your daily life, you’d be surprised how much of a difference you as an individual can make. Staying informed is perhaps the easiest way to help environmental causes. As an informed citizen, you have the power to choose more wisely what products to buy, what companies and practices to support, and even who you vote for in the next election. Don't know where to start? Check out Climate Change For Dummies to help you navigate this complex topic. More ways to greenify your life There’s always something more we can do to reduce our environmental impact on the planet, but that should not discourage us from taking action — after all, every little bit counts. One small change in your daily routine today will lead you to more and more lasting changes in the future. If you’re ready to explore even more ways to go green, check out Green Living For Dummies for a more comprehensive guide to sustainable living. We also have a number of other books with invaluable information and ideas for reducing waste by recycling and reusing items in a different areas of our lives. Here are a few of the latest: Sustainable Travel For Dummies Recycling For Dummies Upcycling Furniture and Home Decor For Dummies Sustainable Fashion For Dummies From the team at Dummies, we wish all of our fellow earthlings a happy and green Earth Day.

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Chemistry How to Build Derived Units from Base Units

Article / Updated 03-20-2024

Chemists aren’t satisfied with measuring length, mass, temperature, and time alone. On the contrary, chemistry often deals in calculated quantities. These kinds of quantities are expressed with derived units, which are built from combinations of base units. Here are some examples: Area (for example, catalytic surface). and area has units of length squared (square meters, or m2, for example). Volume (of a reaction vessel, for example). You calculate volume by using the familiar formula Because length, width, and height are all length units, you end up with or a length cubed (for example, cubic meters, or m³). Density (of an unidentified substance). Density, arguably the most important derived unit to a chemist, is built by using the basic formula Density = Mass / Volume. Pressure (of gaseous reactants, for example): Pressure units are derived using the formula Pressure = Force / Area. The SI units for force and area are newtons (N) and square meters (m²), so the SI unit of pressure, the pascal (Pa), can be expressed as N/m². Let’s try an example. A physicist measures the density of a substance to be 20 kg/m³. His chemist colleague, appalled with the excessively large units, decides to change the units of the measurement to the more familiar grams per cubic centimeter. What is the new expression of the density? The answer is 0.02 g/cm³. A kilogram contains 1,000 (10³) grams, so 20 kg equals 20,000 g. Well, 100 cm = 1 m; therefore, (100 cm)³= (1 m)³. In other words, there are 100³ (or 106) cubic centimeters in 1 cubic meter. Doing the division gives you 0.02 g/cm³. You can write out the conversion as follows:

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