Conservapedia - User contributions [en]

https://www.conservapedia.com/api.php?action=feedcontributions&feedformat=atom&user=Sundance Conservapedia - User contributions [en] 2026-09-30T23:21:17Z User contributions MediaWiki 1.35.14 https://www.conservapedia.com/index.php?title=William_Howard_Taft&diff=625956 William Howard Taft 2009-02-17T03:16:23Z

<p>Sundance: </p> <hr /> <div>{{President<br /> |image=William_taft.jpg<br /> |seq=27<br /> |term_start=March 4, 1909 <br /> |term_end=March 4, 1913<ref>http://home.comcast.net/~sharonday7/Presidents/AP060301.htm</ref><br /> |party=Republican<br /> |vp=James S. Sherman<br /> |vp_dates=1909-1912<br /> |2vp=None<br /> |2vp_dates=1912-1913<br /> |previous=Theodore Roosevelt<br /> |next=Woodrow Wilson<br /> |birth_date=September 15, 1857<br /> |birth_place=Cincinnati, Ohio<br /> |death_date=March 8, 1930 <br /> |death_place=Washington, D.C.<br /> |spouse=Helen Herron Taft<br /> |spouse2=<br /> |religion=[[Unitarian]]<br /> <br /> }}<br /> '''William Howard Taft''' was the 27th [[President of the United States of America]], serving from 1909 to 1913. He is particularly famous for being the [[portliest]] president in history, requiring a special bathtub to be installed in the White House. Taft is the only President to go on to serve as [[Chief Justice of the United States]], in addition to being the first-ever president to toss out the ceremonial [[first pitch]] at a [[baseball]] game. He was also the last [[Unitarian]] President, and the only incumbent President in history to seek re-election only to come in third in the [[popular vote]]. This happened in the [[United States presidential election, 1912|1912 Presidential election]] after Taft's supporters prevented [[Theodore Roosevelt]] from winning the nomination of the [[Republican]] party, leading Roosevelt to form the [[Progressive Party]] and come in ahead of Taft but behind [[Woodrow Wilson]] on election day.<br /> <br /> He died on February 3, 1930 at the age of 71 of too much chicken. <ref> [[Encyclopedia of Presidents, William Howard Taft]] by Jane Clark Casey, Children's Press, 1989. </ref> Along with [[John F. Kennedy]], he is one of only two presidents to be buried at [[Arlington_National_Cemetery]] which was segregated genderwise.<br /> ==Taft and Progressivism==<br /> William Howard Taft was never popular with [[progressives]]. When progressives, assuming Taft and congress will bow down to their ludicrous demands, asked congress to lower tarrif rates, congress passed a weak Payne-Aldrich Tarrif, which hardly lowered tarrif rates and even raised them in some areas. Progressives grew angry at Taft and finally severed with him after an incident involving Roosevelt's secretary of the interior. Many progressives had been unhappy when Taft replaced Roosevelt's secretary of the interior, Hames R. Ballinger, a more conservative corporate lawyer. Suspicion of Balinger grew when he attempted to invalidate Roosevelt's removal of nearly 1 million acres of forests and mineral reserves from the public lands available for private development. In the midst of this mounting concern, Louis Glavis, an Interior Department investigator, charged the new secretary with ahving once connived to turn over valuable public coal lands in Alaska to a private syndicate for personal profit. Galvis took the evidence to Gifford Pinchot, still head of the Forest Service and critic of Ballinger's policies. Pinchot took the charges to the president. Taft, the brave Republican, heroically investigated them and found them full of liberal bias. He once scorned at Glavis, saying that he was a "foolish liberal". But Pinchot was not satisfied, particularly after Taft fired Glavis for his part in the episode. he leaked the story to the press and asked Congress to investigate the scandal. The president discharged him for insubordination, and the congressional committee appointed to study the controvery, donminated by brave Old Guard Republicans, exonerated Ballinger. But progressives throughout the country supported Pinchot. The controvery aroused so much public passion as any dispute in its time; and when it was voer, Taft had alienated the supporters of Roosevelt completely and, it seemed, irrevocibly. <br /> <br /> ==Notes & References==<br /> <references/> <br /> <br /> <br /> {{USPresidents}}<br /> {{USChiefJustices}}<br /> <br /> {{DEFAULTSORT:Taft, William Howard}}<br /> <br /> [[category:Presidents of the United States]]<br /> [[category:United States Supreme Court Justices]]<br /> [[Category:Republican Party]]</div>

Sundance https://www.conservapedia.com/index.php?title=Cross_product&diff=625954 Cross product 2009-02-17T03:15:46Z

<p>Sundance: </p> <hr /> <div>The '''cross product''' (or vector product) of two [[vector|vectors]] in 3-space is itself a vector in 3-space, and is written <math>a\times b</math>. The magnitude of the resulting vector is<br /> <br /> <math><br /> |a\times b|=|a| |b| \sin\theta<br /> </math><br /> <br /> where <math>\theta</math> is the angle between the two vectors. The direction of the cross product is normal to both of the vectors '''a''' and '''b'''. Since there are two such directions the chosen one is defined by the right hand rule: with your right hand, point your fingers along the direction of the first vector and curl them towards the second vector. The direction your thumb points gives the direction of the cross product. The cross product is a convinient way to find the volume of 3D parrallelograms. One may simply take the cross product of two legs and then find the dot product of that vector with the remaining leg (assuming that the legs are vectors). <br /> ===See also===<br /> [[Dot product]]<br /> [[Category:Linear algebra]]</div>

Sundance https://www.conservapedia.com/index.php?title=User_talk:Sundance&diff=625953 User talk:Sundance 2009-02-17T03:13:51Z

<p>Sundance: </p> <hr /> <div>The following is from the Conservapedia Commandments:<br /> <br /> "Edits/new pages must be family-friendly, clean, concise, and without gossip or foul language"<br /> <br /> The link you have posted is to a page with completely inappropriate language and content. I would advise you to remove it or face prompt blocking. --[[User:Economist|Economist]] 23:37, 15 February 2009 (EST)<br /> <br /> "Family-Friendly"? Sure. Maybe you can tell me how to contact a moderator? - Sundance<br /> <br /> The following link may be of some help: http://www.conservapedia.com/Conservapedia:User_rights. Also, please make sure to sign all of your comments. --[[User:Economist|Economist]] 23:42, 15 February 2009 (EST)<br /> <br /> <br /> ==Math Articles==<br /> <br /> Sundance, I removed my earlier comment about flagging you for deletion. Perhaps we can work together on improving the mathematics articles. --[[User:Economist|Economist]] 22:09, 16 February 2009 (EST)<br /> <br /> <br /> Sure! I would be happy to work on the mathematics artcles with you! --[[User:Sundance|Sundance]] 22:13, 16 February 2009 (EST)</div>

Sundance https://www.conservapedia.com/index.php?title=William_Howard_Taft&diff=625951 William Howard Taft 2009-02-17T03:12:31Z

<p>Sundance: Baller-Pinchot controversy</p> <hr /> <div>{{President<br /> |image=William_taft.jpg<br /> |seq=27<br /> |term_start=March 4, 1909 <br /> |term_end=March 4, 1913<ref>http://home.comcast.net/~sharonday7/Presidents/AP060301.htm</ref><br /> |party=Republican<br /> |vp=James S. Sherman<br /> |vp_dates=1909-1912<br /> |2vp=None<br /> |2vp_dates=1912-1913<br /> |previous=Theodore Roosevelt<br /> |next=Woodrow Wilson<br /> |birth_date=September 15, 1857<br /> |birth_place=Cincinnati, Ohio<br /> |death_date=March 8, 1930 <br /> |death_place=Washington, D.C.<br /> |spouse=Helen Herron Taft<br /> |spouse2=<br /> |religion=[[Unitarian]]<br /> <br /> }}<br /> '''William Howard Taft''' was the 27th [[President of the United States of America]], serving from 1909 to 1913. He is particularly famous for being the [[portliest]] president in history, requiring a special bathtub to be installed in the White House. Taft is the only President to go on to serve as [[Chief Justice of the United States]], in addition to being the first-ever president to toss out the ceremonial [[first pitch]] at a [[baseball]] game. He was also the last [[Unitarian]] President, and the only incumbent President in history to seek re-election only to come in third in the [[popular vote]]. This happened in the [[United States presidential election, 1912|1912 Presidential election]] after Taft's supporters prevented [[Theodore Roosevelt]] from winning the nomination of the [[Republican]] party, leading Roosevelt to form the [[Progressive Party]] and come in ahead of Taft but behind [[Woodrow Wilson]] on election day.<br /> <br /> He died on February 3, 1930 at the age of 71 of too much chicken. <ref> [[Encyclopedia of Presidents, William Howard Taft]] by Jane Clark Casey, Children's Press, 1989. </ref> Along with [[John F. Kennedy]], he is one of only two presidents to be buried at [[Arlington_National_Cemetery]] which was segregated genderwise.<br /> ==Taft and Progressivism==<br /> William Howard Taft was never popular with [[progressives]]. When progressives, assuming Taft and congress will bow down to their ludicrous demands, asked congress to lower tarrif rates, congress passed a weak Payne-Aldrich Tarrif, which hardly lowered tarrif rates and even raised them in some areas. Progressives grew angry at Taft and finally severed with him after an incident involving Roosevelt's secretary of the interior. Many progressives had been unhappy when Taft replaced Roosevelt's secretary of the interior, Hames R. Ballinger, a more conservative corporate lawyer. Suspicion of Balinger grew when he attempted to invalidate Roosevelt's removal of nearly 1 million acres of forests and mineral reserves from the public lands available for private development. In the midst of this mounting concern, Louis Glavis, an Interior Department investigator, charged the new secretary with ahving once connived to turn over valuable public coal lands in ALaska to a private syndicate for personal profit. Galvis took the evidence to Gifford Pinchot, still head of the Forest Service and critic of Ballinger's policies. Pinchot took the charges to the president. Taft, the brave Republican, heroically investigated them and found them full of liberal bias. He once scorned at Glavis, saying that he was a "foolish liberal". But Pinchot was not satisfied, particularly after Taft fired Glavis for his part in the episode. he leaked the story to the press and asked Congress to investigate the scandal. The president discharged him for insubordination, and the congressional committee appointed to study the controvery, donminated by brave Old Guard Republicans, exonerated Ballinger. But progressives throughout the country supported Pinchot. The controvery aroused so much public passion as any dispute in its time; and when it was voer, Taft had alienated the supporters of Roosevelt completely and, it seemed, irrevocibly. <br /> <br /> ==Notes & References==<br /> <references/> <br /> <br /> <br /> {{USPresidents}}<br /> {{USChiefJustices}}<br /> <br /> {{DEFAULTSORT:Taft, William Howard}}<br /> <br /> [[category:Presidents of the United States]]<br /> [[category:United States Supreme Court Justices]]<br /> [[Category:Republican Party]]</div>

Sundance https://www.conservapedia.com/index.php?title=User:Sundance&diff=625946 User:Sundance 2009-02-17T03:03:49Z

<p>Sundance: </p> <hr /> <div><br /> Hello this is Sundance. If you want to contact me, please check my talk page. I usually like editing Math and Science related articles.</div>

Sundance https://www.conservapedia.com/index.php?title=Cross_product&diff=625945 Cross product 2009-02-17T03:02:34Z

<p>Sundance: The cross product is a convinient way to find the volume of 3D polygons (I forgot the specific names).</p> <hr /> <div>The '''cross product''' (or vector product) of two [[vector|vectors]] in 3-space is itself a vector in 3-space, and is written <math>a\times b</math>. The magnitude of the resulting vector is<br /> <br /> <math><br /> |a\times b|=|a| |b| \sin\theta<br /> </math><br /> <br /> where <math>\theta</math> is the angle between the two vectors. The direction of the cross product is normal to both of the vectors '''a''' and '''b'''. Since there are two such directions the chosen one is defined by the right hand rule: with your right hand, point your fingers along the direction of the first vector and curl them towards the second vector. The direction your thumb points gives the direction of the cross product. The cross product is a convinient way to find the volume of 3D polygons. It is also a good way to confuse conservatives who probably haven't even heard of "math". <br /> <br /> ===See also===<br /> [[Dot product]]<br /> [[Category:Linear algebra]]</div>

Sundance https://www.conservapedia.com/index.php?title=Book&diff=625940 Book 2009-02-17T02:59:53Z

<p>Sundance: In fact the word "Bible" is derived from the Greek word for "book."</p> <hr /> <div>[[Image:Books.jpg|right|Books]]<br /> A '''book''' (Spanish: libro, French: livre, German: Buch, Greek: βιβλίο, Russian: книга) is a collection of written words, usually on paper. The [[Bible]] is an example of a <s>fictional novel relating the life of Jesus and Romeo from Juliet's Island</s> book (in fact, the word "Bible" is derived from the Greek word for "book."), as well as a collection of books. Books are often used for educational purposes in the form of [[text books]], although there is concern about the accuracy of the information contain in some of them. Any finite collection of books can be binded together to form a new book.<br /> <br /> The book was called a [[codex]] in Latin, and it was a [[Roman]] improvement over the scroll. By the fourth century the codex had gained wide acceptance, and many scrolls that were not converted to codex form were lost to posterity.<br /> <br /> ==Types==<br /> Books are classified by a [[hierarchy]]. The two most general categories of this hierarchy are [[fiction]] - meaning an invented or feigned narrative (an imaginative form of narrative)<ref>{{cite web|url=http://dictionary.reference.com/browse/FICTION|accessdate=2007-11-12|format=HTML|language=English|work=Dictionary.com|title=fiction}}</ref> - and [[non-fiction]] - a composition that its authors believe to be truthful. Further types of fiction books include science fiction, historical fictions or myths. Non-fiction books would include accounts, biographies and the like.<br /> <br /> Books can also be classified by media, such as audio or print. For example, some books are available in audio versions. An example of this is [[Talking Books]], available through the free Talking Books Program through the [[Library of Congress]].<br /> <br /> ===Classifications and Simple Explanations===<br /> Please note that the list below is not complete.<br /> {| width="100%" class="wikitable"<br /> |-<br /> !Fiction (untrue)<br /> !Non-fiction (true)<br /> |-<br /> |<br /> *''Mystery'' (a story based on a crime<ref name="dumb">{{cite web|url=http://www.dummies.com/WileyCDA/DummiesArticle/id-1843,subcat-INDUSTRY.html|format=HTML|language=English|title=Exploring the Different Types of Fiction<br /> |accessdate=2007-11-12|work=dummies.com}}</ref>)<br /> *''Fantasy'' (a story that is otherworldly in any sense<ref name="dumb" />)<br /> *''Folklore'' (primarily myths <ref>{{cite web|work=Dictionary.com|url=http://dictionary.reference.com/browse/folklore|format=html|language=English|title=Folklore|accessdate=2007-11-12}}</ref>)<br /> *''Science Fiction'' (books typically set in the future that deal with technology<ref name="dumb" />)<br /> *''Realistic Fiction'' (a story that could theoretically occur in real life<ref>{{cite web|url=http://www.southernct.edu/~brownm/Grea.html|format=HTML|title=Realistic Fiction|work=South Connecticut University|author=Mary E. Brown|language=English|accessdate=2007-11-12}}</ref>)<br /> *''Historical Fiction'' (featuring characters going through a historical event (one of which is non-real)<ref>{{cite web|url=http://www.vancouver.wsu.edu/fac/peabody/histfict.html|format=HTML|work=Washignton State University|author=Sue Peabody|title=READING AND WRITING HISTORICAL FICTION}}</ref>)<br /> |width="50%"|<br /> *''Biographies'' (Accounts of a real person's life)<br /> *''Auto-biographies'' (self written accounts of one's life)<br /> *''Reference''<br /> *''Instruction''<br /> *''History''<br /> |}<br /> <br /> ==Holy Books==<br /> One of the most notable genres is the holy book.<br /> ==References==<br /> {{reflist}}<br /> <br /> ==See also==<br /> [[Image:Anonymous-santa-claus-book.jpg|right|150px]]<br /> *[[Library of Congress]]<br /> *[[People of the book]]<br /> *[[Talking Books]]<br /> *[[Torah]]<br /> *[[Vedas]]<br /> *[[Book of Hours]]<br /> *[[Author]]<br /> {{Clear}}<br /> <br /> ==External links==<br /> *[http://www.fil.com.mx/ingles/i_index.asp Book Feir] Guadalajara.<br /> *[http://www.bookadventure.org/ Book adventure] For kids.<br /> *[http://talkingbookslibrarian.blogspot.com/ Talking Books Librarian] Free Talking Books Program and other Library Related Resources<br /> <br /> <br /> [[Category:Books]]</div>

Sundance https://www.conservapedia.com/index.php?title=Logic&diff=625934 Logic 2009-02-17T02:55:37Z

<p>Sundance: Geometry and deductive reasoning.</p> <hr /> <div>[[Logic]] ([[Greek]] λογίζω I reckon, I count, from λόγος a word) is a branch of [[philosophy]] that deals with and attempts to guide the faculty of human reason.<br /> <br /> [[Aristotle]] was the first to formalize the practice of reasoning. In particular, Aristotle developed a formalization of the [[syllogism]] and the [[Square of Opposition]]. While [[Modus ponens]] and its complement [[Modus tollens]] were known to the Medievals, it is not clear when these central laws of deduction were first formalized.{{fact}}<br /> <br /> The next easily-identifiable major development in logic comes from [[Boole]] in 1847 with the creation of [[Boolean algebra]]. In the 1870's, Peirce introduces a logic of quantifiers, followed by [[Gottlob Frege]]'s 1879 ''Begriffsschift'', which contains the first complete formalization of the propositional calculus. Frege's work was developed in service of his [[logicism|logicist]] project, which was shown to be inconsistent by [[Bertrand Russell]] in 1903 with what is famously called [[Russell's paradox]].<br /> <br /> By the 1950's, with the work of many logicians including [[Hilbert]], [[Emile Post]], [[Alfred Tarski]] and [[Kurt Goedel]], most of the major results in first-order logic had been proved, and in the 1960's [[Saul Kripke]] added a completeness proof for [[modal logic]].<br /> <br /> Most logical systems are [[bivalent]]; that is, they admit only two truth-values. However, there is a fair amount of work done on non-bivalent systems of logic, especially [[intuitionist logic]] and [[relevance logic]]. In intuitionist logic, "true" and "false" are replaced with "proven true", "proven contradictory", and "not proven". In relevance logic, "neither true nor false" and "both true and false" are added to the standard two truth values. There is some debate about the value of these systems in philosophical circles, and [[Timothy Williamson]] claims to have a proof that any non-bivalent logic can be converted into a bivalent logic. Also, Logic is what most conservatives lack in their arguments and lives. <br /> <br /> Formal logic requires, since Frege, a distinction between the [[object language]] and the [[metalanguage]]. The metalanguage is ordinarily a natural language like English or German, while the object language is a symbolic language with a limited alphabet and syntax.<br /> <br /> == Informal Logic ==<br /> <br /> The art of [[rhetoric]] is sometimes called "informal logic", and the classic [[logical fallacies|fallacies]] are often described as "logical fallacies", though, strictly speaking, most of them are simply emotionally effective ways to build an invalid argument. Generally speaking, "informal logic" consists of "common sense" and a collection of other rather loose rules that people employ while making most decisions and even in debate. It is unstructured, and depends largely on one's view of "the reasonable". The thresholds of what is "reasonable" and what is not, are inexact and subject to change with the receipt of sufficient contrary evidence--and again, what constitutes "sufficiency" in this context might vary from person to person. <br /> <br /> == Deduction and Induction ==<br /> <br /> Deductive logic is characterized by certainty: in a valid argument, when the premises are true, the conclusion '''must''' be true. The certainty, however, comes at a price. Take a classic argument of deductive logic:<br /> <br /> '''Premises:'''<br /> All men are mortal,<br /> Socrates is a man<br /> '''Conclusion:'''<br /> Socrates is mortal <br /> <br /> The conclusion is "contained" in the premises. In a sense the conclusion is "known" before it is elucidated. The conclusion, "Socrates is mortal" is also less informative than the premises which imply not just that Socrates is mortal but that a lot of other beings (anyone for whom the term "is a man" applies) are also mortal. As a result deductive logic is not thought to add to knowledge, merely to clarify it. In Geometry this kind of reasoning is called deductive reasoning. <br /> <br /> Inductive logic is ampliative, but is famously less certain. In a good inductive argument, even when the premises are true, it is still possible for the conclusion to be false. A classic example of an inductive argument is:<br /> <br /> '''Premise:'''<br /> All the many swans obversed have been white<br /> '''Conclusion:'''<br /> All swans are white<br /> <br /> Before the discovery of Australia the premise was true someone following inductive logic would have reached the conclusion. Given the existence of black swans in Australia, however, that conclusion is false. [[David Hume]]'s 18th-century critique of induction remains a very pressing problem for disciplines like [[science]] which are commonly held to rely on inductive reasoning.<br /> <br /> == Uses of logic in other disciplines ==<br /> Logic is a necessary discipline in [[philosophy]], because it deals with how we study and interact with the world and with other people in it. Logic and [[mathematics]] are also closely connected, and much of mathematics can be reduced to first-order logic, though Goedel's [[Incompleteness theorem]] shows that not all of mathematics can be so reduced.<br /> <br /> In [[computer science]], logic dictates how a machine will follow a set of instructions, including how to test its "world," evaluate it, and act according to that evaluation. Every computer language includes its own version of the language of symbolic logic, except that instead of establishing propositions, a computer following a program is usually choosing between and among different commands to execute.<br /> <br /> Logic, and especially formal logic, inform the discipline of [[critical thinking]]--which, by no coincidence, takes its name from the [[Greek]] word for a judge. Indeed, judges and juries in courts of [[law]] must apply logic, both formal and informal, to arrive at their decisions. Formal logic will usually serve to state what obedience to a given body of law requires; informal logic must usually serve a trier of fact charged with deciding whether a given person was in obedience or in violation. The latter principle holds primarily because plaintiff and defendant in a court of law quite often ''do not'' agree on matters of fact.<br /> <br /> <br /> == See Also ==<br /> * [[Aristotle]], "Organon"<br /> * [[Gottlob Frege]], "Begriffsschrift" and "The Foundations of Arithmetic"<br /> * [[Bertrand Russell]] and [[Albert N Whitehead]], "Principia Mathematica"<br /> * [[Bas van Fraassen]] and [[J C Beall]], "Possibility and Paradox"<br /> * Geoffrey Hunter, "Metalogic"<br /> <br /> [[Category:Philosophy]]</div>

Sundance https://www.conservapedia.com/index.php?title=Mathematics&diff=625932 Mathematics 2009-02-17T02:53:16Z

<p>Sundance: Added statistics to Analysis</p> <hr /> <div>'''Mathematics''' is the study and practice of rigorous inference about abstract structures. It includes many practical results concerning quantity and measure, such as calculations involving numbers, financial accounting, geometric construction of building, astronomical calculations, calendar dating, telling time, engineering, physics, chemistry, etc. but also more abstract issues such as establishing the conditions under which certain kinds of equations and formulas have solutions. [[Applied mathematics]] concerns the use of mathematical methods for practical purposes. [[Pure mathematics]] involves reasoning about abstract structures. The main areas are:<br /> <br /> * [[Algebra]]. Broadly, speaking algebra concerns 'addition' and 'multiplication', but in the widest possible sense. The objects that are being added or multiplied can be numbers, as in [[Number theory]], but they can also can be more general structures such as [[matrix|matrices]], [[function]]s, [[polynomial]]s, [[vector]]s or many others. Concentrating on addition and multiplication does not exclude subtraction or division, since subtraction is formally considered to be addition of an [[additive inverse]] and division is considered to be multiplication by a [[multiplicative inverse]]. That is, subtracting 3 from 2 is rigorously defined to adding the number -2 to 3. Minus two is called the additive inverse of +2. Similarly, dividing 3 by 2 is formally defined in terms of multiplying 3 by (1/2), where 1/2 is the multiplicative inverse of 2. Abstract algebra is the study of [[algebraic structures]] such as [[Group (mathematics)|group]]s, [[Ring (mathematics)|rings]], and [[Field (mathematics)|fields]].<br /> <br /> * [[Analysis]]. Analysis is concerned with limits and other infinite processes. This subject includes the theory of limits of sequences and series and all forms of [[statistics]], and [[calculus]], including the calculus of several variables, [[vector calculus]] and [[tensor calculus]]. Also included is [[numerical analysis]], the study of error propagation in algorithms carried out to finite precision. Additional topics in analysis include [[real analysis]] and [[complex analysis]].<br /> <br /> * [[Geometry]] and [[Topology]]. Geometry was defined by [[Felix Klein]] as the study of [[invariant]]s under [[Group (mathematics)|group]]s of [[transformation]]s. For example, the [[Euclidean transformation]]s are [[translation]], [[rotation]] and [[reflection]]. The quantities that are not altered by these transformations are things like angles and distances, so these are the subjects of interest in [[Euclidean geometry]]. Other types of transformations, such as the [[affine transformation]]s, define other types of geometry. Topology is concerned with the connectedness of objects, rather than the distance between them. It is sometimes called 'rubber sheet geometry', as it concerns properties (that is, [[arc]]s between [[node]]s in [[network]]s) of objects that would be preserved even if a diagram of them were to be stretched or shrunk. Topology began with [[Leonard Euler]]'s consideration of the [[Königsberg Bridges Problem]], which also introduced [[Graph Theory]]. [[Beck's map of the London Underground]] in 1933 used a topological distortion of the locations of the subway stations in order to produce a more useful and artistic map. [[Differential geometry]] is a specialized field of its own.<br /> <br /> * [[Logic]] and [[set theory]]. All of mathematics can be expressed in terms of [[set]]s. Sets are defined by a collection of [[axiom]]s called the [[Zermelo-Fraenkel]] axioms. One of the axioms, the [[Axiom of Choice]], has been the subject of much discussion.<br /> <br /> [[Category:Mathematics]]</div>

Sundance https://www.conservapedia.com/index.php?title=Women&diff=625928 Women 2009-02-17T02:50:40Z

<p>Sundance: </p> <hr /> <div>'''Women''' are the female of the [[human]] [[species]], with the biological role of bearing offspring ([[pregnancy]] and [[childbirth]]). In preparation for this role, women's [[breasts]] begin to grow at puberty, forming the most obvious physical difference between women and men other than the reproductive organs. Other differences include a layer of subcutaneous [[fat]] under the skin which hides the underlying musculature, and a wider pelvis to facilitate carrying the [[baby]] and allowing it to be born. Women also have a greater proportion of fine vellus hair over certain areas of their skin (such as their face and legs) than the coarse terminal hair which appears on men. {{fact}}<br /> <br /> Men have typically two times more upper body strength than women, and around 50% more leg strength. <ref>College women have 50 to 60 percent of the arm and shoulder strength and 70 percent of the leg strength of their male counterparts. [http://www.humankinetics.com/products/showexcerpt.cfm?excerpt_id=4171 Human Kinetics] </ref> Women have slightly longer average lifespans than men, which results in women overtaking men in population by middle age despite a 1.05:1 boy to girl ratio at birth in the United States. This rate varies among countries. {{fact}}<br /> <br /> Women usually belong in the kitchen. <br /> == Women in history ==<br /> Compared to men, fewer women have had impact on history as leaders in diverse fields, but large numbers of women have still had enormous impact. Historians usually attribute this lack of impact to the centuries old opression women faced. <br /> <br /> Such examples include<br /> *Queen [[Ferdinand and Isabella|Isabella I]] of [[Spain]]<br /> *[[French]] heroine St. [[Joan of Arc]]<br /> *[[Queen Esther]]<br /> *[[Mary (mother of Jesus)|Mary of Gailele]]<br /> *[[Mary Magdelene]]<br /> *Judge [[Deborah]]<br /> *[[Judith]]<br /> *[[Pime Minister of the United Kingdom]] [[Margaret Thatcher]]<br /> *[[Queen]] [[Elizabeth I]] of [[England]]<br /> *Warrior Celtic Queen [[Boudicca]] of the Iceni tribe<br /> *Empress Tsarina [[Catherine the Great]] of [[Russia]]<br /> *Pharoah [[Cleopatra]] of [[Egypt]]<br /> *[[Nobel Pize]]-winning physicist and chemist [[Marie Curie]]<br /> *[[Prime Minister of Pakistan]] [[Benazir Bhutto]], the first woman to lead an [[Islam|Islamic state]]<br /> *[[Prime Minister of Israel]] [[Golda Meir]]<br /> *[[Prime Minister of India]] [[Indira Gandhi]]<br /> *United States [[women's rights]] activist [[Lucretia Mott]]<br /> *United States [[women's rights]][[Susan B. Anthony]]<br /> *[[Nobel Peace Prize]] winner, activist and Prime Minister-elect [[Aung San Suu Kyi]] of Burma<br /> *[[Mother Theresa]]<br /> *[[United States Supreme Court Justice]] [[Sandra Day O'Connor]]<br /> *United States Supreme Court Justice [[Ruth Bader Ginsburg]]<br /> *Queen [[Catherine de Medici]] of France<br /> *Queen [[Olympias]] of Greece<br /> *[[Queen Gorgo of Sparta]]<br /> *[[Condoleezza Rice]], [[United States Secretary of State]]<br /> *[[Madonna (entertainer )|Madonna Ciccone]], entertainer<br /> *[[Madeleine Albright|Madeleine Korbel Albright]], U.S. Secretary of State<br /> *[[Eleanor Roosevelt]], United Nations Representative, [[First Lady]], and human rights, civil rights, women's right, and equal rights activist<br /> *[[Harriet Tubman]], [[Underground Railroad]] conductor<br /> *[[Eva Peron]], [[Argentina|Argentine]] leader<br /> <br /> == Women in the Bible ==<br /> <br /> === Genesis ===<br /> The Bible says that women, like men, were created by God on the 6th day of [[Creation]], as told in The Book of [[Genesis]]:<br /> {{Bible quote|So God created man in his [own] image, in the image of God created he him; male and female created he them.|book=Genesis|chap=1|verses=27|version=KJV}}<br /> {{Bible quote|But from the beginning of the creation God made them male and female.|book=Mark|chap=10|verses=6|version=KJV}}<br /> [[Genesis]] further elaborates that [[God]] took a [[rib cage|rib]] from [[Adam]], the first man, and from it created [[Eve]], the first woman, as a helper for [[Adam]] when the [[animal]]s, which had been created for that purpose, proved unsuitable:<br /> {{Bible quote|And the LORD God said, [It is] not good that the man should be alone; I will make him an help meet for him. And out of the ground the LORD God formed every beast of the field, and every fowl of the air; and brought [them] unto Adam to see what he would call them: and whatsoever Adam called every living creature, that [was] the name thereof. And Adam gave names to all cattle, and to the fowl of the air, and to every beast of the field; but for Adam there was not found an help meet for him. And the LORD God caused a deep sleep to fall upon Adam, and he slept: and he took one of his ribs, and closed up the flesh instead thereof; And the rib, which the LORD God had taken from man, made he a woman, and brought her unto the man.|book=Genesis|chap=2|verses=18-22|version=KJV}}<br /> According to some biblical literalists, Eve caused sin and suffering to come into the world when she convinced Adam to eat from The Tree of Knowledge, an act directly forbidden by God Himself. As punishment for this, God declared that women shall experience great pain in childbirth.<ref>Genesis 3:16</ref><br /> <br /> === New Testament statements on the role of women ===<br /> Saint Paul also has much to say on the status of women in society, most memorably that women should submit to their husbands just as the church submits to Christ.<br /> <ref>[http://www.biblegateway.com/passage/?search=ephesians%205:22-24&version=9 Ephesians 5:22-24 ]</ref><br /> <ref>[http://www.biblegateway.com/passage/?search=I%20Corinthians%2011:8-9;&version=9; I Corinthians 11:8-9]</ref><br /> <ref>[http://www.biblegateway.com/passage/?search=I%20Corinthians%2011:4-7;&version=9; I Corinthians 11:4-7]</ref><br /> <ref>[http://www.biblegateway.com/passage/?search=I%20Corinthians%2014:34-35;&version=9; I Corinthians 14:34-35]</ref> Most of these things are not believed by even the [[Biblical inerrancy|strictest Christians]], and such views are considered extreme by even the most conservative Christians.<br /> <br /> The [[New Testament]] contains several instructions regarding the role of women:<br /> # Women are to dress modestly and not wear "broided hair, or [[gold]], or [[pearl]]s, or costly array."<ref>1 Timothy 2:9</ref><ref>Peter 3:2-6</ref><br /> # Women may learn in silence, but may not be permitted to teach men<ref>1 Timothy 2:11-12</ref>. Some interpretations limit this rule to the teaching of doctrine.<br /> # Women are not permitted to speak in church.<ref>1 Corinthians 14:34-37></ref><br /> # Women are to be subservient to and follow the instructions of their husbands.<ref>Ephesians 5:22-24</ref><ref>Colossians 3:18</ref><ref>Titus 2:4-5</ref><ref>1 Peter 3:1-7</ref><br /> # Women "shall be saved in childbearing, if they continue in faith and charity and holiness with sobriety."<ref>I Timothy 2:15</ref><br /> <br /> These viewpoints are not widely accepted in secular, first-world nations, although some believers still adhere to them. However, Christians do not always agree on how literal or universal these directives are intended to be. For example, dressing modestly is interpreted by some [[Anabaptist]]s to mean that women should only wear black or dull colors and that dresses should cover the entire arms and legs, whereas most non-Anabaptist Christians consider the directive to modesty as simply meaning that garments should not be wrongly provocative. The directive that women should not speak in church is regarded by some as being literal for all situations, but due to other New Testament passages which indicate that women were allowed to publicly testify in the early church<ref>1 Corinthians 11:5></ref>, the most common Christian interpretation{{fact}} of 1 Corinthians 14:34-35 is that women in the Corinthian church were in the habit of conversing casually and gossiping during the church service, and that the apostle Paul was telling them not to do that. However, that interpretation is at odds with the following Scripture passage:<br /> <br /> {{Bible quote|Let the woman learn in silence with all subjection. But I suffer not a woman to teach, nor to usurp authority over the man, but to be in silence. For Adam was first formed, then Eve. And Adam was not deceived, but the woman being deceived was in the transgression. Notwithstanding she shall be saved in childbearing, if they continue in faith and charity and holiness with sobriety.|book=1Timothy|chap=2|verses=11-15|version=KJV}}<br /> <br /> Another interpretation sees the silence of women being limited to the immediate context of the passage, namely the authoritative judgment of prophecy.<br /> <br /> {{Bible quote|Let the prophets speak two or three, and let the other judge.|book=1Corinthians|chap=14|verses=29|version=KJV}}<br /> <br /> ===Strong and important women in the Bible===<br /> <br /> Among the Bible's several strong and empowered women are [[Deborah]], the only female judge and ruler of [[Israel]]; [[Judith]]; and [[Queen Esther]], heroine of the [[Book of Esther]]. In the New Testemant, [[Mary Magdalene]] and other women are disciples of Christ with whom He seems to have close friendships. The [[Virgin Mary]] is heavily revered in the [[Roman Catholicism|Catholic]] and [[Orthodox Church|Orthodox]] churches.<br /> <br /> === Old Testament statements on women ===<br /> <br /> The [[Old Testament]] law states that if a man sells his daughter into slavery there are specific conditions protecting her status.<ref>Exodus 21:7-11</ref><br /> <br /> == Aid for spiritual abuse ==<br /> [[Pastoral care]] for women, their childern, or anyone whose abuse goes unrecognized or possibly encouraged by a Church authority can be found. A Scripture-based book on this topic is [http://books.google.com/books?id=Id-kh00l0DAC&pgis=1 ''The Subtle Power of Spiritual Abuse: recognizing and escaping spiritual manipulation and false spiritual authority within the church''] (1991). It is written by two Christian counselors.<br /> <br /> ==References==<br /> <references /><br /> <br /> == Related Topics ==<br /> *[[Men]]<br /> *[[Egalitarian]] and [[complementarian]] theology<br /> <br /> [[Category: Human Beings]]</div>

Sundance https://www.conservapedia.com/index.php?title=Huey_Long&diff=625925 Huey Long 2009-02-17T02:46:56Z

<p>Sundance: Syntax</p> <hr /> <div>'''Huey Long''' (1893-1935), nicknamed "Kingfish," was a powerful American politician in the 1920s and 1930s, who built a ruthless Democratic machine in [[Louisiana]] as governor (1928-32) and U.S. Senator (1932-35). <br /> <br /> A leftist populist who fought the rich, and promised "Every Man a King," he was preparing to run for president--either in 1940 when [[Franklin Delano Roosevelt]] would presumably, following century old tradition,step down, or perhaps to challenge FDR's reelection in 1936 in alliance with radio priest [[Charles Coughlin]]. But Long was assassinated in 1935 by the son of a political enemy. Although universally stereotyped a "Fascist", Long shunned ideology of all sorts, and his dictatorship by patronage, far from being alien, was the apogee of what many American machine politicians have attempted. Pernicious and impracticable as was his leftist Share-Our-Wealth plan, its objective of plenty for all, without "brain trust" or dogma, was as intrinsically American as was the title "Kingfish." Was he dictator, demagogue, messiah or populist--a friend of [[Republicanism|American values]] or an enemy?<br /> <br /> ==Early Career==<br /> Huey Pierce Long, Jr. was born in Winnfield, Louisiana, in the piney woods region that had a strong Populist heritage. His father, a farmer, owned a medium-size farm, lived plainly but comfortably and sent six children to college. The family background was culturally meager and was most strongly marked by pious Baptist evangelicalism and by a Populistic animosity toward the wealth and sophistication of the planter class and of "evil" New Orleans. Huey became a salesman after completing his public schooling and married Rose McConnell in 1912. There was something of the confidence man about Long at every stage of his career. As a traveling salesman, whether promoting a cooking shortening called "Cottolene" by staging somewhat fixed baking contests (one of which was won by his future wife), or selling a patent-medicine nostrum called "The Wine of Cardui," Long sometimes seems a figure out of Southwestern humor, a kind of second cousin to Mark Twain's Duke and Dauphin.<br /> <br /> After finishing the three-year program at Tulane Law School in less than one year, he was admitted to the bar of Louisiana in 1914. He practiced law in Shreveport for the next few years, having secured deferment from military service during World War I.<br /> <br /> In 1918, Long narrowly won election to the Third District seat on the three-member Railway Commission (renamed Public Service Commission after 1921). Both as member and as chairman (1922-1926), Long gained fame by his vocal battles with "the interests" which, he asserted, controlled state government, e.g., the [[Standard Oil Company]], telephone companies, and other public utilities. <br /> <br /> ==Governor==<br /> In the 1924 primary for governor, which was dominated by religious issues focusing on the activities of the [[Ku Klux Klan]] (south Louisiana has a large Catholic population), Long ran third in a three-man race. The Klan collapsed in the late 1920s, so that the 1928 contest revolved around those economic and class issues on which Huey's strength rested.<br /> <br /> Long secured an easy victory in the gubernatorial primary in 1928, defeated the opposition's attempt to impeach him in 1929, and midway in his term of office (1930) won his race for the U.S. Senate. However, just as he had promised, he did not take his senate seat until January 1932, by which time his hand-picked candidate, Oscar K. Allen, had won the Democratic nomination for governor. Senator Long maintained his control over Louisiana state government until his death in 1935.<br /> <br /> In Louisiana, Huey Long symbolized the rise to political power of [[lower-class]] whites. State government had been previously dominated by business interests and the New Orleans political machines. Going beyond mere symbolic gratification, Long pleased his followers by securing many material benefits, including free textbooks for all children in the public and private (religious) schools, construction of a network of free roads and bridges, increased expenditures for public education, and elimination of the [[poll tax]], which was an effort by Southern Whites to block Blacks from voting. <br /> <br /> Many Southern demagogues attacked the African Americans (who were not allowed to vote); this was called "playing the race card." Long never played that card, and made sure that blacks received a share of the benefits. At the same time, the level of taxation was increased markedly, much of the increase being borne by consumers directly through sales taxes. Long built a virtual personal dictatorship in Louisiana -- the first (and last) in any American state--through the partisan administration of benefits, punitive actions against his opponents, and manipulation of the election laws. In 1934 he ordered state police to confront the New Orleans Democratic Party because Mayor T. Semmes Walmsley had a formidable opposition machine. Long drew back and no shots were fired. In 1934 he reorganized the legislature to put control in the hands of his allies. He transformed local government by giving the governor power to appoint local judges, election officials and tax assessors. <br /> <br /> == Senator ==<br /> Long challenged incumbent Senator [[Joseph Ransdell]] for his seat in the [[United States Senate]] and won. However, his Senate term began in 1931, but his term as governor did not expire until May of 1932. Long continued as governor until his hand chosen successor, O.K. Allen was elected.<br /> <br /> While serving as Senator, Huey Long originally supported the [[New Deal]] program, but later he recanted his support for it. He wanted [[Franklin Roosevelt|President Roosevelt]] to implement a "Share Our Wealth" program in which no American could have a personal fortune of more than $5,000,000, receive an [[income] of greater than $1,000,000, or receive an inheritance of over $5,000,000. Any money earned after this would be divvied up and supposedly families would receive $2,000 to $2,500. His plan attracted significant support from the nation; it was estimated that he would get 10% of the popular vote in the [[1936 election]]. <br /> <br /> [[Senator Long]] [[broke]] with [[Roosevelt]] in August 1933, conducted several spectacular filibusters against [[New Deal]] measures, and developed his own rival program --"Share Our Wealth"--by which poverty would be eliminated by confiscating the wealth of the rich and redistributing it equally to everyone. Long, relying on rapidly growing [[membership]] in his "Share Our Wealth" clubs and his large radio audience on [[NBC]], [[was]] in position to run for the presidency in 1936 or 1940.<ref> The Rev. Gerald L. K. Smith (1898-1976) was Long's national organizer; in the late 1930s Smith became a prominent enemy of Jews, but he was not openly anti-Semitic during his time with Long. Glen Jeansonne, "Gerald L. K. Smith: from Wisconsin Roots to National Notoriety." ''Wisconsin Magazine of History'' 2002-03 86(2): 18-29. Issn: 0043-6534 [http://www.wisconsinhistory.org/wmh/pdf/wmh_winter02_jeansonne.pdf Fulltext online] </ref> <br /> == Death ==<br /> On Sept. 8, 1935, Long was shot and fatally wounded by Dr. Carl A. Weiss, Jr., in the state capitol at Baton Rouge. Long's bodyguards killed the assassin on the spot; Long himself died on September 10th. Although Dr. Weiss was a member of a prominent anti-Long family, his motive probably was personal, not political; he believed that Long had sullied his family's honor.<br /> <br /> <br /> Huey Long's book, ''My First Days in the White House'', was published posthumously.<br /> <br /> ==Legacy==<br /> Huey Long made important innovations in campaign technique, including sound trucks and radio commercials. His more lasting contribution was to the state of Louisiana rather than to the nation. He created a public works program unprecedented in the South, with a plethora of roads, bridges, hospitals, schools and state buildings.<br /> <br /> He set in motion two durable factions within the dominant Louisiana Democratic party--"pro-Long" and "anti-Long," each diverging meaningfully in terms of policies and voter support. A family dynasty emerged: his brother Earl Long was elected lieutenant-governor in 1936, governor in 1948 and 1956. Typically anti-Longite candidates would promise to continue popular social services delivered in Long's administration and criticized Longite corruption without directly attacking Long himself. Huey's son [[Russell Long]] was a U.S. senator from 1948 to 1987. As chairman of the Senate Finance Committee, Russell Long shaped the nation's tax laws in a conservative fashion, with hardly any trace of his father's populism<br /> <br /> Boisterous, scurrilous, and profane in speech; ruthless, violent, and unprincipled in action, the Kingfish was widely denounced in middle class circles and Democratic Party as a sinister ignoramus and buffoon. Dumb he was not; he showed disciplined intellectual performance of the highest order and was probably emotionally sincere in championing the cause of the underdog. His temperamental antagonism toward the socially privileged led to his ostentatious defiance of every propriety, knowing it was a sure-fire method of attracting the kind of alienated supporters he wanted. <br /> <br /> He won in politics because of forcefulness and originality, and his perception that the governmental practices of Louisiana had become obsolete. He kept most of his promises and built roads, bridges, schools (including LSU) and other improvements which Louisiana needed. Flagrantly corrupt, he was primarily a coalition builder who used corruption to buy supporters. His improvement program was administered with relative efficiency. His success was in proportion to the weakness and confusion of his enemies, who were chiefly petty office-seekers, more decorous, but scarcely more ethical, than he. He was essentially a spokesman of a long-standing agrarian discontent that was much amplified and extended by the social and economic conditions of the great depression period. <br /> ===Long in American literature===<br /> Political historians, and--especially--novelists have explored the strange dictatorship Long created. Sinclair Lewis’s ''It Can’t Happen Here'' (1935), by a Nobel-Prize winning novelist, portrayed a genuine American dictator on the [[Adolf Hitler|Hitler]] model.<ref> See the full text at [http://gutenberg.net.au/ebooks03/0301001h.html]</ref> Starting in 1936 the [[WPA]], a New Deal agency, performed the theatre version across the country. Written with the express purpose of hurting Long's chances in the 1936 election, Lewis's novel outfits President Berzelius Windrip with a private militia, concentration camps, and a chief of staff who sounds like Nazi propagandist [[Joseph Goebbels]]. Lewis also outfits Windrip with a racist ideology completely alien to Long and a ''Main Street'' conservatism he also never embraced. Ultimately, Windrip is a venal and cynical showman who plays to the conformist resentments Lewis diagnosed in ''Main Street'' and ''Babbitt.'' Perry (2004) argues that the key weakness of the novel is not that he decks out American politicians with sinister European touches, but that he finally conceives of fascism and totalitarianism in terms of traditional American political models rather than seeing them as introducing a new kind of society and a new kind of regime. Windrip is less a Nazi than a con-man-plus-Rotarian, a manipulator who knows how to appeal to people's desperation, but neither he nor his followers are in the grip of the kind of world-transforming ideology like Hitler's [[National Socialism]]. <br /> <br /> Hamilton Basso wrote two novels looking at Long, ''Cinnamon Seed'' (1934) and ''Sun in Capricorn'' (1942). Basso was a slashingly witty critic of the moonlight and magnolia romanticism of the Old South that dominated the Southern mind before 1920. Like many proponents of a New South, he wanted modernizers to take over. ''Cinnamon Seed'''s Harry Brand incorporates more details from the historical Huey Long than any other fictional portrayal does, and much of the novel is so lightly fictionalized that only a single letter separates the characters and places from their real-life counterparts.<ref> For example Basso uses "Tillson" instead of "Wilson", "Janders" rather than "Sanders", "Gwinn Parish" for "Winn Parish".</ref> Brand is a representative of the grasping and vulgar kind of new leadership which has rightly understood that the values of the Old South are played out but has replaced them with nothing but ambition and cunning. He is a greedy climber, not a demonic leader of the masses, and in fact he is ultimately not much more than an obnoxious and sticky-fingered lout, the kind who spits tobacco juice on the marble floors of his predecessors and pockets the ashtrays. In portraying his Long figure this way, Basso finds himself between the stools, critical of the spent aristocrats who cannot imagine a modern South, but disgusted also by the figures who represent the wrong kind of newness, the kind of modern South that comes to be if its development is left to default.<ref> Perry (2004)</ref> <br /> <br /> John Dos Passos’s ''Number One'' (1943) looks not at the politics of mass brutality whipped up by manipulative demagogues, but at the gradual ebbing away of Long's idealist convictions under the pressure of a thousand expedient compromises and betrayals in the name of institutional necessity.<ref> Perry (2004)</ref> <br /> <br /> Robert Penn Warren’s Pulitzer prize-winning ''All the King’s Men'' (1946) is the centerpiece of American political fiction. Warren’s spellbinding Willie Stark, almost as much philosopher as politician, bears the least resemblance to Long though for almost six decades Stark has been Long’s best-known fictional embodiment as a novel and well-received 1949 movie (it won three Oscars, including best picture and best actor as Broderick Crawford played the Long role.).<ref> Perry (2004); Bloom (1987)</ref> <br /> <br /> The novelists portray Long's rise to power as a justifiable popular reaction against the selfish policies pursued by the dominant economic interests prior to 1928. They speculate the degree his extremism reflected an overreaction to his enemies, or sprang inevitably from class conflict in the state. They all try to explain why Long enjoyed majority support in Louisiana, both during and after his lifetime.<br /> <br /> ==Bibliography==<br /> * Bloom, Harold. ''Robert Penn Warren's All the King's Men'' (1987) [http://www.questia.com/read/98795137 online edition]<br /> * Boulard, Garry. ''Huey Long: His Life in Photos, Drawings, and Cartoons.'' Gretna, La.: Pelican, 2003. 127 pp. <br /> * Boulard, Garry. ''Huey Long Invades New Orleans: The Siege of a City, 1934-36.'' Gretna, La.: Pelican, 1998. 277 pp. <br /> * Brinkley, Alan. ''Voices of Protest: Huey Long, Father Coughlin, & the Great Depression'' (1982), 348pp ; argues Long was a Jeffersonian trying protect the traditionalistic yeoman farmer from the modernizing encroachments of the rich elites; [http://www.amazon.com/Voices-Protest-Father-Coughlin-Depression/dp/0394716280/ref=sr_1_1/103-4827826-5463040?ie=UTF8&s=books&qid=1192360492&sr=1-1 excerpt and text search] <br /> * Burt, John. "Thirteen Ways of Kooking at a Kingfish." ''The Mississippi Quarterly'' 58#3-4 (2005) pp 795+. [http://www.questia.com/read/5019470837 online edition]<br /> * Cortner, Richard C. ''The Kingfish and the Constitution: Huey Long, the First Amendment, and the Emergence of Modern Press Freedom in America.'' Greenwood, 1996. 196 pp. [http://www.questia.com/read/27209334 online edition]<br /> * Gunn, Joshua. "Hystericizing Huey: Emotional Appeals, Desire, and the Psychodynamics of Demagoguery." ''Western Journal of Communication'' 21#1 (2007) pp. 1+. [http://www.questia.com/read/5020919367 online edition]<br /> * Haas, Edward F., ed. ''The Age of the Longs: Louisiana, 1928-1960.'' (Louisiana Purchase Bicentennial Series, vol. 8.) Lafayette: Center for Louisiana Studies, 2001. 527 pp. <br /> * Hair, William Ivy. ''The Kingfish and His Realm: The Life and Times of Huey P. Long'' (1991) 406pp, standard scholarly biography; less favorable than Williams <br /> * Howard, Perry H. ''Political Tendencies in Louisiana'' (1971), by political scientist [http://www.questia.com/read/101976098 online edition]<br /> * Jeansonne, Glen. ''Messiah of the Masses: Huey P. Long and the Great Depression.'' 1993. 204 pp. short, scholarly and very hostile<br /> * Jeansonne, Glen, ed. ''Huey at 100: Centennial Essays on Huey P. Long.'' Ruston, La.: McGinty, 1995. 237 pp. <br /> * Kane, Harnett T. ''Louisiana Hayride: The American Rehearsal for Dictatorship, 1928-1940'' (1949) 476 pp. journalistic and sensational (Williams is better) [http://www.questia.com/PM.qst?a=o&d=76760264 online edition]<br /> * Perry, Keith Ronald. ''The Kingfish in Fiction: Huey P. Long and the Modern American Novel'' (2004) 224pp [http://www.amazon.com/gp/reader/0807129429/ref=sib_dp_pt/103-4827826-5463040#reader-link excerpt and text search]<br /> * Potter, David M. "Long, Huey Pierce, (Aug. 30, 1893 - Sept. 10, 1935),' ''Dictionary of American Biography'' Supp 1 (1964)<br /> * Sanson, Jerry P., "'What he did and what he promised to do': Huey Long and the Horizons of Louisiana Politics," ''Louisiana History,'' 47 (Summer 2006), 261–76.<br /> * Schlesinger, Arthur M. Jr., ''The Age of Roosevelt'', vol 3: ''The Politics of Upheaval'' (1960), chapter on Long<br /> * Sindler, Alan P. ''Huey Long's Louisiana: State Politics 1928-1940'' (1956) by political scientist<br /> * Steinberg, Alfred. ''The Bosses: Frank Hague, James Curley, Ed Crump, Huey Long, Gene Talmadge, Tom Pendergast - The Story of the Ruthless Men who Forged the American Political Machines that Dominated the Twenties and Thirties.'' 1972. 379 pp. <br /> * Williams, T. Harry. "The Gentleman from Louisiana: Demagogue or Democrat." ''The Journal of Southern'' History 26 (1960): 3-21. [http://links.jstor.org/sici?sici=0022-4642(196002)26%3A1%3C3%3ATGFLDO%3E2.0.CO%3B2-Q in JSTOR]<br /> * Williams, T. Harry. ''Huey Long'' (1969); 949pp; Pulitzer Prize; the standard scholarly biography; generally favorable[http://www.amazon.com/gp/reader/0394747909/ref=sib_dp_bod_cr/103-4827826-5463040?ie=UTF8&p=S007#reader-link excerpt and text search]<br /> * PBS, Ken Burns's 1987 documentary<br /> ===Primary sources===<br /> * Long, Huey P. ''Kingfish to America: Share Our Wealth.'' edited by Henry M. Christman; (1985). 143 pp.<br /> ====notes====<br /> <references/><br /> <br /> {{DEFAULTSORT:Long,Huey}}<br /> <br /> [[Category:Louisiana Governors]]<br /> [[Category:Former United States Senators]]<br /> [[Category:United States Political Scandals]]<br /> [[Category:New Deal]]<br /> [[Category:Liberals]]</div>

Sundance https://www.conservapedia.com/index.php?title=L%27Hopital%27s_rule&diff=625922 L'Hopital's rule 2009-02-17T02:42:31Z

<p>Sundance: 1/1/reciprocal and confusion with quotient rule.</p> <hr /> <div>'''L'H&ocirc;pital's Rule''' is a method in [[differential]] [[calculus]] for calculating the [[limit_(mathematics)|limit]] of a [[quotient]] of two [[function]]s wherein the entire expression approaches an [[indeterminate form]] (e.g. 0/0, [[infinity]]/infinity). In the event that this is the case, the limit is said to be equal to the limit of the quotient of the first [[derivative]]s of the two functions. Should this also yield an indeterminate form, the process is repeated until a meaningful result is obtained.<ref>http://mathworld.wolfram.com/LHospitalsRule.html</ref><br /> <br /> Not to be confused with the [[quotient rule]], L'Hospital's rule only takes the derivatives of the top and bottom functions. If a top and a botton function cannot be explicitly recognized, one may use L'Hospital's rule by using the one over the reciprocal rule. <br /> <br /> == Outside Links ==<br /> *[http://books.google.com/books?id=H-0L9Dxor6sC&pg=PA144&lpg=PA144&dq=L%27H%C3%B4pital%27s+rule&source=bll&ots=3HfHZW3-DZ&sig=Ripjx5A7yw-OcrHN91sxEN8Gr5U&hl=en&ei=kg2WSePdKYKUsQOT_JiuBw&sa=X&oi=book_result&resnum=11&ct=result The Complete Idiot's Guide to Calculus]<br /> == References ==<br /> {{reflist}}<br /> <br /> [[Category:Mathematics]]</div>

Sundance https://www.conservapedia.com/index.php?title=Industrial_Workers_of_the_World&diff=625907 Industrial Workers of the World 2009-02-17T02:36:03Z

<p>Sundance: </p> <hr /> <div>The '''Industrial Workers of the World''' (IWW), nicknamed the "Wobblies" was a [[labor union]] founded in 1905 under their strong and communist leader who is also militant, William ("Big Bill") Haywood. The stated goals of the IWW are to create "one big union". The IWW has never had a large following, but held considerable sway in industries before the [[First World War]]. Many IWW's were arrested under the [[Sedition Act of 1918]] and the union collapsed, but a tint remnant still exists.<br /> <br /> [[Image:Iww-kill.JPG|thumb|350px|this 1912 IWW cartoon calls for murdering the capitalists]]<br /> <br /> The IWW remains an icon of the far left, who admire its bitter, often violent opposition to capitalism and its rejection of American ideals.<br /> <br /> ==Further reading==<br /> * Dubofsky, Melvyn. ''We Shall Be All: A History of the Industrial Workers of the World'' (abridged ed. 2000) [http://www.amazon.com/We-Shall-Be-All-Industrial/dp/0252069056/ref=pd_bbs_sr_2?ie=UTF8&s=books&qid=1232228839&sr=8-2 excerpt and text search]<br /> <br /> ==External links==<br /> * [http://www.iww.org/en/culture IWW homepage]<br /> ==References==<br /> <references /><br /> <br /> [[Category:Labor Unions]]<br /> [[Category:Progressive Era]]<br /> [[category:Socialism]]</div>

Sundance https://www.conservapedia.com/index.php?title=Share_Our_Wealth_Society&diff=625902 Share Our Wealth Society 2009-02-17T02:30:56Z

<p>Sundance: New Article.</p> <hr /> <div>The Share Our Wealth Society was founded by Louisiana Senator Huey Long. The creation of the society came after Long became disillusioned with Franklin Roosevelt's New Deal and decided to take more stringent attacks on the wealthy.</div>

Sundance https://www.conservapedia.com/index.php?title=William_Howard_Taft&diff=625900 William Howard Taft 2009-02-17T02:28:25Z

<p>Sundance: Progressivism</p> <hr /> <div>{{President<br /> |image=William_taft.jpg<br /> |seq=27<br /> |term_start=March 4, 1909 <br /> |term_end=March 4, 1913<ref>http://home.comcast.net/~sharonday7/Presidents/AP060301.htm</ref><br /> |party=Republican<br /> |vp=James S. Sherman<br /> |vp_dates=1909-1912<br /> |2vp=None<br /> |2vp_dates=1912-1913<br /> |previous=Theodore Roosevelt<br /> |next=Woodrow Wilson<br /> |birth_date=September 15, 1857<br /> |birth_place=Cincinnati, Ohio<br /> |death_date=March 8, 1930 <br /> |death_place=Washington, D.C.<br /> |spouse=Helen Herron Taft<br /> |spouse2=<br /> |religion=[[Unitarian]]<br /> <br /> }}<br /> '''William Howard Taft''' was the 27th [[President of the United States of America]], serving from 1909 to 1913. He is particularly famous for being the portliest president in history, requiring a special bathtub to be installed in the White House. Taft is the only President to go on to serve as [[Chief Justice of the United States]], in addition to being the first-ever president to toss out the ceremonial [[first pitch]] at a [[baseball]] game. He was also the last [[Unitarian]] President, and the only incumbent President in history to seek re-election only to come in third in the [[popular vote]]. This happened in the [[United States presidential election, 1912|1912 Presidential election]] after Taft's supporters prevented [[Theodore Roosevelt]] from winning the nomination of the [[Republican]] party, leading Roosevelt to form the [[Progressive Party]] and come in ahead of Taft but behind [[Woodrow Wilson]] on election day.<br /> <br /> He died on February 3, 1930 at the age of 71. <ref> [[Encyclopedia of Presidents, William Howard Taft]] by Jane Clark Casey, Children's Press, 1989. </ref> Along with [[John F. Kennedy]], he is one of only two presidents to be buried at [[Arlington_National_Cemetery]].<br /> ==Taft and Progressivism==<br /> William Howard Taft was never popular with [[progressives]]. When progressives, assuming Taft and congress will bow down to their ludicrous demands, asked congress to lower tarrif rates, congress passed a weak Payne-Aldrich Tarrif, which hardly lowered tarrif rates and even raised them in some areas. Progressives grew angry at Taft and finally severed with him after an incident involving Roosevelt's secretary of the interior. <br /> <br /> ==Notes & References==<br /> <references/> <br /> <br /> <br /> {{USPresidents}}<br /> {{USChiefJustices}}<br /> <br /> {{DEFAULTSORT:Taft, William Howard}}<br /> <br /> [[category:Presidents of the United States]]<br /> [[category:United States Supreme Court Justices]]<br /> [[Category:Republican Party]]</div>

Sundance https://www.conservapedia.com/index.php?title=Talk:New_Deal&diff=625886 Talk:New Deal 2009-02-17T02:11:18Z

<p>Sundance: </p> <hr /> <div>::{{template|Part of this article was copied from [[Citizendium]] and [[Wikipedia]] but the copied text was originally written by me, RJJensen (under the name Richard Jensen and rjensen) and does not include alterations made by others on that site.||category=Copied Articles}} [[User:RJJensen|RJJensen]] 16:23, 16 February 2009 (EST)<br /> <br /> ==needs rewrite==<br /> I plan to complete\ly rewrite this article. It needs to say what the New Deal was and how it affected the USA. It now does a very poor job and sounds like a rehash of Flynn's essays from the 1940s. Keep in mind the New Deal was supported at the time by the likes of Ronald Reagan and Milton Friedman. [[User:RJJensen|RJJensen]] 15:47, 16 February 2009 (EST)<br /> <br /> Are you going to include all the work/ relief programs of the New Deal? --[[User:Rickrogers|Rickrogers]] 15:53, 16 February 2009 (EST)<br /> ::I think all the major programs should be at least be mentioned--there are about 10 or so relief programs that can be called "major" ([[WPA]], [[PWA]], [[CCC]], [[CWA]], [[FERA]], [[NYA]], [[RA]], [[FSA]], [[RFC]]... RFC needs special treatment becauise it is very similar to the 2008-9 programs of Bush and Obama) [[User:RJJensen|RJJensen]] 16:02, 16 February 2009 (EST)<br /> ::: Isn't the RFC chartered by Hoover? And what about the NRA? And should someone else create separate pages for those programs? --[[User:Sundance|Sundance]] 21:10, 16 February 2009 (EST)<br /> ==Opening sentence==<br /> I changed:<br /> :The so-called '''New Deal''' was a [[Socialism|socialist]] scheme during the Great Depression by [[Democratic Party|Democrat]] [[President of the United States of America|President]] [[Franklin D. Roosevelt]]. <br /> to:<br /> :The so-called '''New Deal''' was the name coined by [[President of the United States of America|President]] [[Franklin D. Roosevelt]], a [[Democratic Party|Democrat]], for the [[Socialism|socialist]]ic program he conducted throughout the Great Depression.<br /> I did this to reflect these things:<br /> :*"New Deal" was Roosevelt's own name for the program.<br /> :*"Democrat" is a noun, not an adjective.<br /> :*Although the New Deal was socialist'''ic''' in tendency, the economy of the United States was not a socialist economy during that period.<br /> :*"Scheme" does not fit here. Scheme can mean "A method for making, doing, or accomplishing something: blueprint, design, game plan, idea, layout, plan, project, schema, strategy." The New Deal was a scheme before Roosevelt was elected, but since it was actually put into practice it became an actual program rather than a scheme. It can also mean "A secret plan to achieve an evil or illegal end," but the New Deal was not secret, and the Supreme Court evidently did not judge it to be illegal, either.<br /> <br /> [[User:Dpbsmith|Dpbsmith]] 14:06, 8 June 2007 (EDT)<br /> <br /> ==Unemployment decreased/increased?==<br /> If you please Magic612, you need figures to back up what you said. [[User:Karajou|Karajou]] 13:20, 13 February 2009 (EST)</div>

Sundance https://www.conservapedia.com/index.php?title=Talk:New_Deal&diff=625885 Talk:New Deal 2009-02-17T02:11:03Z

<p>Sundance: </p> <hr /> <div>::{{template|Part of this article was copied from [[Citizendium]] and [[Wikipedia]] but the copied text was originally written by me, RJJensen (under the name Richard Jensen and rjensen) and does not include alterations made by others on that site.||category=Copied Articles}} [[User:RJJensen|RJJensen]] 16:23, 16 February 2009 (EST)<br /> <br /> ==needs rewrite==<br /> I plan to complete\ly rewrite this article. It needs to say what the New Deal was and how it affected the USA. It now does a very poor job and sounds like a rehash of Flynn's essays from the 1940s. Keep in mind the New Deal was supported at the time by the likes of Ronald Reagan and Milton Friedman. [[User:RJJensen|RJJensen]] 15:47, 16 February 2009 (EST)<br /> <br /> Are you going to include all the work/ relief programs of the New Deal? --[[User:Rickrogers|Rickrogers]] 15:53, 16 February 2009 (EST)<br /> ::I think all the major programs should be at least be mentioned--there are about 10 or so relief programs that can be called "major" ([[WPA]], [[PWA]], [[CCC]], [[CWA]], [[FERA]], [[NYA]], [[RA]], [[FSA]], [[RFC]]... RFC needs special treatment becauise it is very similar to the 2008-9 programs of Bush and Obama) [[User:RJJensen|RJJensen]] 16:02, 16 February 2009 (EST)<br /> ::: Isn't the RFS chartered by Hoover? And what about the NRA? And should someone else create separate pages for those programs? --[[User:Sundance|Sundance]] 21:10, 16 February 2009 (EST)<br /> ==Opening sentence==<br /> I changed:<br /> :The so-called '''New Deal''' was a [[Socialism|socialist]] scheme during the Great Depression by [[Democratic Party|Democrat]] [[President of the United States of America|President]] [[Franklin D. Roosevelt]]. <br /> to:<br /> :The so-called '''New Deal''' was the name coined by [[President of the United States of America|President]] [[Franklin D. Roosevelt]], a [[Democratic Party|Democrat]], for the [[Socialism|socialist]]ic program he conducted throughout the Great Depression.<br /> I did this to reflect these things:<br /> :*"New Deal" was Roosevelt's own name for the program.<br /> :*"Democrat" is a noun, not an adjective.<br /> :*Although the New Deal was socialist'''ic''' in tendency, the economy of the United States was not a socialist economy during that period.<br /> :*"Scheme" does not fit here. Scheme can mean "A method for making, doing, or accomplishing something: blueprint, design, game plan, idea, layout, plan, project, schema, strategy." The New Deal was a scheme before Roosevelt was elected, but since it was actually put into practice it became an actual program rather than a scheme. It can also mean "A secret plan to achieve an evil or illegal end," but the New Deal was not secret, and the Supreme Court evidently did not judge it to be illegal, either.<br /> <br /> [[User:Dpbsmith|Dpbsmith]] 14:06, 8 June 2007 (EDT)<br /> <br /> ==Unemployment decreased/increased?==<br /> If you please Magic612, you need figures to back up what you said. [[User:Karajou|Karajou]] 13:20, 13 February 2009 (EST)</div>

Sundance https://www.conservapedia.com/index.php?title=Talk:New_Deal&diff=625884 Talk:New Deal 2009-02-17T02:10:52Z

<p>Sundance: </p> <hr /> <div>::{{template|Part of this article was copied from [[Citizendium]] and [[Wikipedia]] but the copied text was originally written by me, RJJensen (under the name Richard Jensen and rjensen) and does not include alterations made by others on that site.||category=Copied Articles}} [[User:RJJensen|RJJensen]] 16:23, 16 February 2009 (EST)<br /> <br /> ==needs rewrite==<br /> I plan to complete\ly rewrite this article. It needs to say what the New Deal was and how it affected the USA. It now does a very poor job and sounds like a rehash of Flynn's essays from the 1940s. Keep in mind the New Deal was supported at the time by the likes of Ronald Reagan and Milton Friedman. [[User:RJJensen|RJJensen]] 15:47, 16 February 2009 (EST)<br /> <br /> Are you going to include all the work/ relief programs of the New Deal? --[[User:Rickrogers|Rickrogers]] 15:53, 16 February 2009 (EST)<br /> ::I think all the major programs should be at least be mentioned--there are about 10 or so relief programs that can be called "major" ([[WPA]], [[PWA]], [[CCC]], [[CWA]], [[FERA]], [[NYA]], [[RA]], [[FSA]], [[RFC]]... RFC needs special treatment becauise it is very similar to the 2008-9 programs of Bush and Obama) [[User:RJJensen|RJJensen]] 16:02, 16 February 2009 (EST)<br /> :: Isn't the RFS chartered by Hoover? And what about the NRA? And should someone else create separate pages for those programs? --[[User:Sundance|Sundance]] 21:10, 16 February 2009 (EST)<br /> ==Opening sentence==<br /> I changed:<br /> :The so-called '''New Deal''' was a [[Socialism|socialist]] scheme during the Great Depression by [[Democratic Party|Democrat]] [[President of the United States of America|President]] [[Franklin D. Roosevelt]]. <br /> to:<br /> :The so-called '''New Deal''' was the name coined by [[President of the United States of America|President]] [[Franklin D. Roosevelt]], a [[Democratic Party|Democrat]], for the [[Socialism|socialist]]ic program he conducted throughout the Great Depression.<br /> I did this to reflect these things:<br /> :*"New Deal" was Roosevelt's own name for the program.<br /> :*"Democrat" is a noun, not an adjective.<br /> :*Although the New Deal was socialist'''ic''' in tendency, the economy of the United States was not a socialist economy during that period.<br /> :*"Scheme" does not fit here. Scheme can mean "A method for making, doing, or accomplishing something: blueprint, design, game plan, idea, layout, plan, project, schema, strategy." The New Deal was a scheme before Roosevelt was elected, but since it was actually put into practice it became an actual program rather than a scheme. It can also mean "A secret plan to achieve an evil or illegal end," but the New Deal was not secret, and the Supreme Court evidently did not judge it to be illegal, either.<br /> <br /> [[User:Dpbsmith|Dpbsmith]] 14:06, 8 June 2007 (EDT)<br /> <br /> ==Unemployment decreased/increased?==<br /> If you please Magic612, you need figures to back up what you said. [[User:Karajou|Karajou]] 13:20, 13 February 2009 (EST)</div>

Sundance https://www.conservapedia.com/index.php?title=User:Sundance&diff=624849 User:Sundance 2009-02-16T05:14:37Z

<p>Sundance: </p> <hr /> <div>{{Userboxtop}}<br /> {{user tiny flags}}<br /> {{user cosmonaut}}<br /> {{user donutwar}}<br /> {{user Earth}}<br /> {{user free software}}<br /> {{user comp-6}}<br /> {{user CPLeader}}<br /> {{user Evo}}<br /> {{user gay rights}}<br /> {{user Atheist}}<br /> {{user environment}}<br /> {{userboxbottom}}<br /> {{User guncontrol}}<br /> {{User free speech}}<br /> {{User moderatecapitalist}}<br /> {{User Mark Levin}}<br /> {{User noBush}}<br /> {{User elephants}}<br /> <br /> <br /> <br /> <br /> <br /> Hello this is Sundance. If you want to contact me, please check my talk page.</div>

Sundance https://www.conservapedia.com/index.php?title=Talk:Calculus&diff=624846 Talk:Calculus 2009-02-16T05:05:48Z

<p>Sundance: </p> <hr /> <div>==Calculus is ''hard''==<br /> Calculus is [[Latin]] for pebble, and pebbles are hard. Good choice for naming this subject of mathematics. -^_^- [[User:Kektklik|Fuzzy]] 21:03, 11 March 2008 (EDT)<br /> <br /> Pebbles are also small. Calculus is the counting of small things. Learn your etymologies. [[User:ArnoldFriend|ArnoldFriend]] 16:46, 25 September, 2008 (EDT)<br /> <br /> == Multivariable Calculus ==<br /> <br /> Should I add a page for multivariable calculus? It is a very simple and straightforward extension of single variable calculus. [[User:WilliamBeason|WilliamBeason]] 23:32, 29 December 2008 (EST)<br /> <br /> Although I would not call it "a very simple and straightforward extension of single variable calculus", I think adding multivariate calculus would make the article more comprehensive.<br /> <br /> - Sundance</div>

Sundance https://www.conservapedia.com/index.php?title=Calculus&diff=624839 Calculus 2009-02-16T05:01:37Z

<p>Sundance: Added derivatives.</p> <hr /> <div>{{Template:Math-h}}<br /> <br /> '''Calculus''' is the [[mathematics|mathematical]] subject that studies rates of change of functions. There are several branches of calculus, including [[derivative|differential]] calculus, [[integral]] calculus, single [[variable]] calculus, [[exterior calculus]], and multi [[variable]] calculus.<br /> <br /> Calculus has numerous applications in [[engineering]] and [[physics]]. Many physical properties can be explained and/or modeled through the use of calculus. See:[[derivative]] and [[integral]].<br /> <br /> [[Isaac Newton]] was one of the most famous inventors of calculus, however there are several others who developed calculus simultaneously including [[Gottfried Leibniz]].<ref>Calculus, 5th edition, by James Stewart, Nelson Canada</ref> The [[Calculus Controversy|disagreement]] over the originator of calculus created rifts within the European mathematical community for years.<br /> <br /> ==Integrals==<br /> {{Main|Integral}}<br /> Integration is primarily defined as the method to calculate the area in an xy-plane above the x-axis. There are two fundamentally different kinds of integrals.<br /> <br /> ===Indefinite Integrals===<br /> {{main|Indefinite integral}}<br /> The antiderivative of a function is often called the ''indefinite integral''. (Indefinite because the limits a and b haven't been specified.) So, for example, the derivative of <math>\frac{x^3}{3}+7</math> is <math>x^2</math>. From this it follows that the antiderivative of <br /> <math>x^2</math> could be <math>\frac{x^3}{3}+7</math>. But note that the "7" in that formula was a red herring. Adding any constant to a function doesn't change its derivative, so the antiderivative of <math>x^2</math> could have any constant added to it. This arbitrary constant is usually written '''C''' and is called the "constant of integration". The indefinite integral could be written:<br /> <br /> :<math>\int x^2\ \mathrm{d}x = \frac{x^3}{3} + C\,</math>,<br /> <br /> The Fundamental Theorem of Calculus says that the area under the graph of <math>x^2</math> between a and b is the difference in the values of <math>\frac{x^3}{3}+C</math> between a and b. Note that the constant of integration cancels out.<br /> <br /> ===Definite Integration===<br /> {{main|Definite integral}}<br /> This kind of integral is called a ''definite integral'', written with the limits <math>[a,b]</math>:<br /> <br /> :<math>\int_a^b f(x)\,dx = F(b) - F(a)</math><br /> <br /> The above is a simplified "intuitive" treatment of calculus and of this theorem. The actual "rigorous" proof, "rigorous" definitions of derivative and integral, and statement of the conditions under which the theorem is true, are beyond the scope of this article. Definite integrals are strongly connected to the [[Fundamental Theorem of Calculus]].<br /> <br /> <br /> ==Derivatives==<br /> {{Main|Derivatives}}<br /> Derivatives are defined as the instantaneous rate of change of differentiable functions. Derivatives themselves can be functions that give the slope of the instantaneous rate of change of a function at any differentiable point. The slope of a tangent line is another way of defining a derivative. A tangent line touches a graph at only one point (locally). So its slope can be interpreted as the instantaneous rate of change of that graph.<br /> <br /> ===Power Functions===<br /> <br /> == External Links ==<br /> [http://www.wannalearn.com/Academic_Subjects/Mathematics/Calculus/ Calculus Tutorials]<br /> <br /> ==See also==<br /> *[[Fundamental Theorem of Calculus]]<br /> *[[Derivative]]<br /> *[[Integral]]<br /> <br /> ==References==<br /> <references/><br /> <br /> [[Category:Mathematics]]<br /> [[Category:Calculus]]</div>

Sundance https://www.conservapedia.com/index.php?title=User_talk:Sundance&diff=624833 User talk:Sundance 2009-02-16T04:43:17Z

<p>Sundance: </p> <hr /> <div>Flagging user for deletion. --[[User:Economist|Economist]] 23:26, 15 February 2009 (EST)<br /> <br /> <br /> Why? -[[User:Sundance|Sundace]]<br /> <br /> <br /> The following is from the Conservapedia Commandments:<br /> <br /> "Edits/new pages must be family-friendly, clean, concise, and without gossip or foul language"<br /> <br /> The link you have posted is to a page with completely inappropriate language and content. I would advise you to remove it or face prompt blocking. --[[User:Economist|Economist]] 23:37, 15 February 2009 (EST)<br /> <br /> <br /> "Family-Friendly"? Sure. Maybe you can tell me how to contact a moderator? - Sundance<br /> <br /> <br /> <br /> The following link may be of some help: http://www.conservapedia.com/Conservapedia:User_rights. Also, please make sure to sign all of your comments. --[[User:Economist|Economist]] 23:42, 15 February 2009 (EST)</div>

Sundance https://www.conservapedia.com/index.php?title=User_talk:Sundance&diff=624825 User talk:Sundance 2009-02-16T04:39:53Z

<p>Sundance: </p> <hr /> <div><br /> <br /> Flagging user for deletion. --[[User:Economist|Economist]] 23:26, 15 February 2009 (EST)<br /> <br /> <br /> Why? -[[User:Sundance|Sundace]]<br /> <br /> <br /> The following is from the Conservapedia Commandments:<br /> <br /> "Edits/new pages must be family-friendly, clean, concise, and without gossip or foul language"<br /> <br /> The link you have posted is to a page with completely inappropriate language and content. I would advise you to remove it or face prompt blocking. --[[User:Economist|Economist]] 23:37, 15 February 2009 (EST)<br /> <br /> <br /> "Family-Friendly"? Sure. Maybe you can tell me how to contact a moderator?</div>

Sundance https://www.conservapedia.com/index.php?title=User:Sundance&diff=624819 User:Sundance 2009-02-16T04:36:54Z

<p>Sundance: </p> <hr /> <div>{{Userboxtop}}<br /> {{user tiny flags}}<br /> {{user cosmonaut}}<br /> {{user donutwar}}<br /> {{user Earth}}<br /> {{user free software}}<br /> {{user comp-6}}<br /> {{user CPLeader}}<br /> {{user Evo}}<br /> {{user gay rights}}<br /> {{user Atheist}}<br /> {{user environment}}<br /> {{userboxbottom}}<br /> <br /> Hello this is Sundance. If you want to contact me, please check my talk page.</div>

Sundance https://www.conservapedia.com/index.php?title=User_talk:Sundance&diff=624816 User talk:Sundance 2009-02-16T04:32:37Z

<p>Sundance: </p> <hr /> <div>I do not know how to contact a mod but I think this might be why you have a lot of trolls:<br /> <br /> http://uncyclopedia.wikia.com/wiki/Conservatroll<br /> <br /> <br /> Flagging user for deletion. --[[User:Economist|Economist]] 23:26, 15 February 2009 (EST)<br /> <br /> <br /> Why? -[[User:Sundance|Sundace]]</div>

Sundance https://www.conservapedia.com/index.php?title=User_talk:Sundance&diff=624814 User talk:Sundance 2009-02-16T04:30:58Z

<p>Sundance: </p> <hr /> <div>LEAVE A MESSAGE<br /> {{welcome|sig=[[User:Philip J. Rayment|Philip J. Rayment]] 21:37, 8 June 2008 (EDT)}}<br /> <br /> I do not know how to contact a mod but I think this might be why you have a lot of trolls:<br /> <br /> http://uncyclopedia.wikia.com/wiki/Conservatroll<br /> <br /> <br /> Flagging user for deletion. --[[User:Economist|Economist]] 23:26, 15 February 2009 (EST)<br /> <br /> <br /> Why?</div>

Sundance https://www.conservapedia.com/index.php?title=User_talk:Sundance&diff=624803 User talk:Sundance 2009-02-16T04:25:19Z

<p>Sundance: VERY VERY IMPORTANT</p> <hr /> <div>LEAVE A MESSAGE<br /> {{welcome|sig=[[User:Philip J. Rayment|Philip J. Rayment]] 21:37, 8 June 2008 (EDT)}}<br /> <br /> I do not know how to contact a mod but I think this might be why you have a lot of trolls:<br /> <br /> http://uncyclopedia.wikia.com/wiki/Conservatroll</div>

Sundance https://www.conservapedia.com/index.php?title=Methods_of_integration&diff=543357 Methods of integration 2008-10-26T20:30:54Z

<p>Sundance: </p> <hr /> <div>This article details several methods of [[integral|intergration]] for advanced high school or early university student, each with an example<br /> <br /> ===Integration by Parts===<br /> '''Integration by parts''' is a special [[Techniques of integration|technique]] to facilitate the integration of the product of two functions that otherwise lack an obvious integral. This technique utilizes the insight of the [[product rule]].<br /> <br /> The rule for '''integration by parts''' is stated as follows:<br /> :<big><math>\int f(x) g'(x)\,dx = f(x) g(x) - \int f'(x) g(x)\,dx,</math></big><br /> <br /> This rule is often useful when one function is a power of ''x'' and the other function is a trigonometric function or ''e'' raised to a power of ''x''.<br /> <br /> Note that it may be necessary to repeat the '''integration by parts''' several times, one for each power of ''x''.<br /> <br /> ====Rapid Repeated Integration====<br /> Rapid Repeated Integration is a shortcut method for reduction problems that require Integration by Parts. It is especially useful when one function's derivative reduces to zero.<br /> For Example, lets say we want to integrate:<br /> :<big><math>\int x^4 sin(x)\,dx</math></big><br /> First, we start off by making a table of x^4 and sin(x). On the first column, we keep taking the derivative of x^4 until it reaches zero. On the second column, we keep integrating sin(x):<br /> <br /> {| class="wikitable"<br /> |-<br /> ! x^4<br /> ! sin(x)<br /> |-<br /> | 4x^3<br /> | -cos(x)<br /> |-<br /> | 12x^2<br /> | -sin(x)<br /> |-<br /> | 24x<br /> | cos(x)<br /> |-<br /> | 24<br /> | sin(x)<br /> |-<br /> | 0<br /> | -cos(x)<br /> |}<br /> <br /> Then, we cross multiply diagonally from the left to the right and we add the product to the product of the next product, alternating signs as we go (remember to start with a minus). So then the integral becomes:<br /> <br /> :<big><math>\int x^4 sin(x)\,dx</math></big> = <big><math>\ -x^4cos(x)-(-4x^3sin(x))+(12x^4cos(x))-(-24xsin(x))+(24cos(x))</math></big>=<big><math>\ -x^4cos(x)+4x^3sin(x)+12x^2cos(x)+24xsin(x)-24cos(x)+c</math></big><br /> ===Partial Fractions===<br /> '''Integration by partial fractions''' is a [[Techniques of integration|technique]] to facilitate the integration of a rational expression by partial fraction decomposition.<br /> <br /> Given an integral <br /> <br /> :<big><math>\int\frac{3x+11}{x^2-x-6}dx</math></big><br /> <br /> The first step is to factor the denominator as much as possible and get the form of the partial fraction decomposition. Doing this gives,<br /> <br /> :<big><math>\frac{3x+11}{(x-3)(x+2)}=\frac{A}{x-3}+\frac{B}{x+2}</math></big><br /> <br /> This allows us to split the fraction in to sums by cross multiplying the denominators,<br /> <br /> :<big><math>\frac{3x+11}{(x-3)(x+2)}=\frac{A(x+2)+B(x-3)}{(x-3)(x+2)}</math></big><br /> <br /> Therefore we can restate the problem,<br /> <br /> :<big><math>3x+11=A(x+2)+B(x-3)</math></big><br /> <br /> Now we can solve for A and B by subsituting x with a value that allows the term to go to 0. For example,<br /> <br /> We let :<big><math>x=-2</math></big>,<br /> <br /> :<big><math>3(-2)+11=A(-2+2)+B(-2-3)</math></big><br /> :<big><math>5=A(0)+B(5)</math></big><br /> :<big><math>B=-1</math></big><br /> <br /> We let :<big><math>x=3</math></big>,<br /> <br /> :<big><math>3(3)+11=A(3+2)+B(3-3)</math></big><br /> :<big><math>20=A(5)+B(0)</math></big><br /> :<big><math>A=4</math></big><br /> <br /> We then plug in the values of A and B and get,<br /> <br /> :<big><math>\frac{4}{x-3}-\frac{1}{x+2}</math></big><br /> <br /> Now we can solve the integral.<br /> <br /> :<big><math>\int\frac{3x+11}{x^2-x-6}dx=\int\frac{4}{x-3}-\frac{1}{x+2}dx</math></big><br /> :<big><math>\int\frac{3x+11}{x^2-x-6}dx=\int\frac{4}{x-3}dx-\int\frac{1}{x+2}dx</math></big><br /> :<big><math>\int\frac{3x+11}{x^2-x-6}dx=4ln|x-3|-ln|x+2|+c</math></big><br /> <br /> ===Algebraic Substitution===<br /> '''Integration by Algebraic Substitution''' is a [[Techniques of integration|technique]] to facilitate the integration of a rational expression by substituting a more complicated expression with a variable.<br /> <br /> Given an integral <br /> <br /> :<big><math>\int\frac{2x}{x^2+3}dx</math></big><br /> <br /> We can substitute the term :<big><math>x^2+3</math></big> with a u. Giving us<br /> <br /> :<big><math>u=x^2+3</math></big><br /> <br /> We then take the derivative of u with respect to x,<br /> <br /> :<big><math>\frac{du}{dx}=2x</math></big><br /> <br /> We then set the terms equal to du,<br /> <br /> :<big><math>du=2xdx</math></big><br /> <br /> Now we are ready to rewrite the integral,<br /> <br /> :<big><math>\int\frac{2x}{x^2+3}dx=\int\frac{1}{u}du</math></big><br /> <br /> We can rewrite the integral this way due to the subsitution of the x terms with the u terms.<br /> <br /> Now we can solve the integral in terms of u.<br /> <br /> :<big><math>\int\frac{1}{u}du=ln|u|+c</math></big><br /> <br /> Now we replace u with the term :<big><math>x^2+3</math></big> to get,<br /> <br /> :<big><math>ln|x^2+3|+c</math></big><br /> <br /> We can check this by taking the derivative of :<big><math>ln|x^2+3|</math></big>,<br /> <br /> :<big><math>\frac{d}{dx}ln|x^2+3|=(\frac{1}{x^2+3})(2x)=\frac{2x}{x^2+3}</math></big><br /> <br /> ===Trigonometric Substitution===<br /> '''Integration by Trigonometric Substitution''' is a [[Techniques of integration|technique]] to facilitate the integration of a rational expression by substituting a more complicated radical expression with a trigonometric expression.<br /> <br /> Given an integral <br /> <br /> :<big><math>\int\frac{1}{\sqrt{9-x^2}}dx</math></big><br /> <br /> By looking at the radical we can determine that it represents the base of a right triangle by understanding the [[Pythagorean theorem]].<br /> <br /> :<big><math>\sqrt{9-x^2}=3+x</math></big> where 3 is the hypotenuse and x is the height of the triangle.<br /> This allows us to rewrite the expression to :<big><math>sin\theta=\frac{x}{3}</math></big>. This allows us to substitute x with :<big><math>3sin\theta</math></big>. <br /> Now to do the substitution<br /> :<big><math>9-x^2=9-(3sin\theta )^2</math></big><br /> :<big><math>9-(3sin\theta )^2=9-9sin^2\theta </math></big><br /> :<big><math>9-9sin^2\theta=9(1- sin^2\theta) </math></big> <br /> And by use of trigonometric identities we know that <br /> :<big><math>1- sin^2\theta=cos^2\theta </math></big><br /> :<big><math>9(1- sin^2\theta)=9cos^2\theta </math></big> <br /> Therefore<br /> :<big><math>\sqrt{9-x^2}=3cos\theta </math></big><br /> We are not done yet, we must also take the derivative of :<big><math>3sin\theta</math></big><br /> :<big><math>\frac{dx}{d\theta}3sin\theta=3cos\theta </math></big> <br /> By partial derivatives we move the :<big><math>{d\theta}</math></big> over.<br /> :<big><math>dx=3cos\theta d\theta </math></big><br /> <br /> Now we are ready to rewrite our integral.<br /> <br /> :<big><math>\int\frac{1}{\sqrt{9-x^2}}dx=\int\frac{3cos\theta}{3cos\theta}d\theta=\int d\theta=\theta+c</math></big><br /> <br /> From our trigonometric expression :<big><math>x=3sin\theta</math></big> we can see that <br /> :<big><math>\theta=sin^{-1}(\frac{x}{3})+c</math></big> giving us the final solution. <br /> <br /> :<big><math>\int\frac{1}{\sqrt{9-x^2}}dx=sin^{-1}(\frac{x}{3})+c </math></big><br /> <br /> [[Category:calculus]]</div>

Sundance https://www.conservapedia.com/index.php?title=Talk:Methods_of_integration&diff=543349 Talk:Methods of integration 2008-10-26T20:07:54Z

<p>Sundance: New page: == Rapid Repeated Integration == I'm going to put rapid repeated integration under integration by parts...</p> <hr /> <div>== Rapid Repeated Integration ==<br /> <br /> I'm going to put rapid repeated integration under integration by parts...</div>

Sundance https://www.conservapedia.com/index.php?title=Arteries&diff=471945 Arteries 2008-06-12T06:26:47Z

<p>Sundance: </p> <hr /> <div>[[Blood vessel|Blood vessels]] that carry blood away from the [[heart]]. The arteries in the Pulmonary circulation, the transfer of blood cells between the heart and the lungs, carry oxygen-poor blood while the arteries in the systemic circulation, the circulation of blood cells between the heart and the rest of the body, carry oxygen-rich blood. Arteires have strong walls to withstand the continuous pressure exerted by the ventricles. Arteries have an outer wall made up of Connective tissue, an intermediate wall made up of Smooth muscle, and an inner wall made up of Endothelium.<br /> <ref>Wile, Dr. Jay L. ''Exploring Creation With General Science''. Anderson: Apologia Educational Ministries, Inc. <br /> <br /> 2000</ref><br /> <br /> ==References==<br /> <references/><br /> <br /> <br /> [[Category:Biology]]<br /> [[Category:Anatomy]]</div>

Sundance https://www.conservapedia.com/index.php?title=Arteries&diff=471943 Arteries 2008-06-12T06:26:29Z

<p>Sundance: </p> <hr /> <div>[[Blood vessel|Blood vessels]] that carry blood away from the [[heart]].<ref>Wile, Dr. Jay L. ''Exploring Creation With General Science''. Anderson: Apologia Educational Ministries, Inc. <br /> The arteries in the Pulmonary circulation, the transfer of blood cells between the heart and the lungs, carry oxygen-poor blood while the arteries in the systemic circulation, the circulation of blood cells between the heart and the rest of the body, carry oxygen-rich blood. Arteires have strong walls to withstand the continuous pressure exerted by the ventricles. Arteries have an outer wall made up of Connective tissue, an intermediate wall made up of Smooth muscle, and an inner wall made up of Endothelium.<br /> 2000</ref><br /> <br /> ==References==<br /> <references/><br /> <br /> <br /> [[Category:Biology]]<br /> [[Category:Anatomy]]</div>

Sundance https://www.conservapedia.com/index.php?title=Bubonic_plague&diff=471942 Bubonic plague 2008-06-12T06:21:35Z

<p>Sundance: yes it is true but I can't get the citation. If you can, look up The Continuities, Discontinuities, and Contingencies of the holocaust.</p> <hr /> <div>{{Middle Ages}}<br /> An epidemic of the '''bubonic plague''' known as the Black Death struck Europe and many parts of Asia between 1347 and 1351. The plague was spread by rats and other rodents, and spread rapidly along trade routes and especially the Silk Road. It originated amongst the Mongols in Asia, who allowed their sacks of food to be exposed to rats and fleas that carried the fatal disease. Traders brought it with them into the Middle East, North Africa, and Europe. In four short years, 40 to 45% of the European population was lost to the plague, especially the poor. The Mongols amplified the problem by using catapults to toss plague-ridden bodies over city walls, a practice seen as the precursor to biological warfare.<br /> <br /> The fatality rate was even higher in China, where an estimated 25 million died from it. It took 100 years for Europe and China to recover, and a longer period of time for Islamic countries and the Middle East. Egypt was hit particularly hard, with some areas not recovering for 500 years.<br /> <br /> The germ theory of disease had not been discovered, so the means of transmission and cure were a mystery to contemporary doctors. After the 3-7 day incubation period, the sufferer would experience initial symptoms of chills, fever, diarrhea, headaches, and the swelling of the infected lymph nodes. If it was untreated, 30-75% of those who contracted the plague died.<br /> <br /> The plague weakened the prestige of the Catholic Church, which appeared helpless to stop it. Because of the gruesome nature of the disease, irrational fantasies became rampant in mideval europe. Jews were subsequently blamed by the Catholic Church for poisoning the wells of Europe in order to kill christian children.<br /> <br /> The devastation of the serfs, who made up the vast majority of the population, also strengthened their socio-economic position. The scarcity of labour meant that, through proto-strikes, they could bargain with land-owners to improve their conditions of life. This led to the beginning of the end of [[feudalism]] in [[Europe]], as it weakened the force behind the success of the manors. The plague also created a demand for more centralized government that could respond effectively to disease.<br /> <br /> The bubonic plague is still endemic to some parts of the world, such as Tanzania.<ref><br /> http://news.yahoo.com/s/afp/20070517/hl_afp/tanzaniahealthplague_070517161454</ref> In May 2007, there was an outbreak of the bubonic plague among animals in Denver, Colorado.<ref>http://www.cnn.com/2007/US/05/21/bubonic.plague.reut/index.html?section=cnn_latest</ref> <br /> <ref>http://wcbstv.com/national/topstories_story_142072816.html</ref><br /> <br /> == References ==<br /> <br /> <references/><br /> <br /> [[Category:Diseases]]<br /> [[Category:European History]]</div>

Sundance https://www.conservapedia.com/index.php?title=Yanni&diff=470950 Yanni 2008-06-11T05:54:04Z

<p>Sundance: New page: Yanni, born Yiannis Hrysomallis, is a well known new age and classical composer. He is noted for his performances at the Taj Mahal and the Forbidden City.</p> <hr /> <div>Yanni, born Yiannis Hrysomallis, is a well known new age and classical composer. He is noted for his performances at the Taj Mahal and the Forbidden City.</div>

Sundance https://www.conservapedia.com/index.php?title=TI-89&diff=470942 TI-89 2008-06-11T05:42:31Z

<p>Sundance: New page: The TI 89 the TI-89 Titaniumis an advanced graphing calculator released by Texas Instruments in 1998. The series are considered superior to previous TI graphing calculators due to their ad...</p> <hr /> <div>The TI 89 the TI-89 Titaniumis an advanced graphing calculator released by Texas Instruments in 1998. The series are considered superior to previous TI graphing calculators due to their advanced symbolic manipulation of equations and the ability to recognize other computer languages. Also, the calculators were the first ones to use the 68000, or more commonly called as the 68k, programming language.</div>

Sundance https://www.conservapedia.com/index.php?title=User:Sundance&diff=470931 User:Sundance 2008-06-11T05:28:48Z

<p>Sundance: </p> <hr /> <div>{{UB|tiny flags}} {{UB|cosmonaut}} {{UB|donutwar}}<br /> {{UB|Earth}}<br /> {{UB|free software}} {{UB|comp-6}} {{Userbox |border-c=#000 |border-s=1 |id-c=#fff |id-s=12 |id-fc=#000 |info-c=#039 |info-s=8 |info-fc=#fff |id=yay MARX |info= This user is a Anarchist}}<br /> {{UB|CPLeader}} {{UB| Evo}} {{UB| gay rights}} {{UB| Atheist}} {{UB| environment}}</div>

Sundance https://www.conservapedia.com/index.php?title=User:Sundance&diff=470930 User:Sundance 2008-06-11T05:26:17Z

<p>Sundance: </p> <hr /> <div>{{UB|tiny flags}} {{UB|cosmonaut}} {{UB|donutwar}}<br /> {{UB|Earth}}<br /> {{UB|free software}} {{UB|comp-6}} {{Userbox |border-c=#000 |border-s=1 |id-c=#fff |id-s=12 |id-fc=#000 |info-c=#039 |info-s=8 |info-fc=#fff |id=yay MARX |info= This user is a Marxist!}}<br /> {{UB|CPLeader}} {{UB| Evo}}</div>

Sundance https://www.conservapedia.com/index.php?title=User:Sundance&diff=470926 User:Sundance 2008-06-11T05:24:59Z

<p>Sundance: </p> <hr /> <div>{{UB|tiny flags}} {{UB|cosmonaut}} {{UB|donutwar}}<br /> {{UB|Earth}}<br /> {{UB|free software}} {{UB|comp-6}} {{Userbox |border-c=#000 |border-s=1 |id-c=#fff |id-s=12 |id-fc=#000 |info-c=#039 |info-s=8 |info-fc=#fff |id=yay MARX |info= This user is a Marxist!}}<br /> {{UB|CPLeader}}</div>

Sundance https://www.conservapedia.com/index.php?title=Differentiation&diff=469667 Differentiation 2008-06-09T04:48:12Z

<p>Sundance: </p> <hr /> <div>Algebraic '''differentiation''' is an important part of [[calculus]], an essential branch of [[mathematics]] in the modern age. This mathematical tool is denoted by the expression ''dy/dx'', and has a pivotal role to play in a wide range of fields. For example, differentiation can be used in [[mechanics]] to find the acceleration of an object from a velocity-time graph.<br /> <br /> Essentially, differentiation is employed as a means to calculate the [[gradient]] or rate of change at a particular value for a given function, ''f''. Consequently, it can be used to calculate velocity from a displacement-time graph, or acceleration from a velocity-time graph. Furthermore, it can be used to calculate the rate of cooling from a temperature-time graph. These are a few examples of the applications of differentiation.<br /> The general formula for a derivative of a function is:<br /> <br /> <math>f'(x)=\lim_{h \to 0}\frac{f(x+h)-f(x)}{h}</math><br /> <br /> In [[classical mathematics]], a function can be be differentiated using the general formula:<br /> <br /> <math>\frac{dy}{dx} = nx^{(n-1)}</math><br /> <br /> For example, if <math>y = 3 x^2</math>, the derivative with respect to <math>x</math> is <br /> <br /> <math>\frac{dy}{dx} = 6 x</math><br /> <br /> Thus the '''[[derivative]]''' is a measurement of how a function changes when the values of its inputs vary. Having calculated the derivative, the original input (in the above example, x) can be substituted in to work out the gradient. Moreover, differentiation can be employed to calculate the maxima and minima of a function (e.g. to ascertain the maximum velocity of an object in a function defining how its displacement varies with time), whereby dy/dx=0.<br /> <br /> ===Differentiation Rules===<br /> *[[Product rule]]<br /> *[[Quotient rule]]<br /> *[[Chain rule]]<br /> <br /> The roots of differentiation are profoundly linked with tangency; ergo, this aspect of mathematics can first be perceived to have been developed during the time of the [[Ancient Greeks]] through the work of Greek geometers like [[Euclid]], [[Sanath]] and [[Archimides]].<br /> <br /> [[Category:Calculus]]<br /> [[Category: Mathematics]]</div>

Sundance https://www.conservapedia.com/index.php?title=Differentiation&diff=469666 Differentiation 2008-06-09T04:46:19Z

<p>Sundance: </p> <hr /> <div>Algebraic '''differentiation''' is an important part of [[calculus]], an essential branch of [[mathematics]] in the modern age. This mathematical tool is denoted by the expression ''dy/dx'', and has a pivotal role to play in a wide range of fields. For example, differentiation can be used in [[mechanics]] to find the acceleration of an object from a velocity-time graph.<br /> <br /> Essentially, differentiation is employed as a means to calculate the [[gradient]] or rate of change at a particular value for a given function, ''f''. Consequently, it can be used to calculate velocity from a displacement-time graph, or acceleration from a velocity-time graph. Furthermore, it can be used to calculate the rate of cooling from a temperature-time graph. These are a few examples of the applications of differentiation.<br /> The general formula for a derivative of a function is:<br /> <br /> <math>f'(x)=lim<sub>h→0</sub>\frac{f(x+h)-f(x)}{h}</math><br /> <br /> In [[classical mathematics]], a function can be be differentiated using the general formula:<br /> <br /> <math>\frac{dy}{dx} = nx^{(n-1)}</math><br /> <br /> For example, if <math>y = 3 x^2</math>, the derivative with respect to <math>x</math> is <br /> <br /> <math>\frac{dy}{dx} = 6 x</math><br /> <br /> Thus the '''[[derivative]]''' is a measurement of how a function changes when the values of its inputs vary. Having calculated the derivative, the original input (in the above example, x) can be substituted in to work out the gradient. Moreover, differentiation can be employed to calculate the maxima and minima of a function (e.g. to ascertain the maximum velocity of an object in a function defining how its displacement varies with time), whereby dy/dx=0.<br /> <br /> ===Differentiation Rules===<br /> *[[Product rule]]<br /> *[[Quotient rule]]<br /> *[[Chain rule]]<br /> <br /> The roots of differentiation are profoundly linked with tangency; ergo, this aspect of mathematics can first be perceived to have been developed during the time of the [[Ancient Greeks]] through the work of Greek geometers like [[Euclid]], [[Sanath]] and [[Archimides]].<br /> <br /> [[Category:Calculus]]<br /> [[Category: Mathematics]]</div>

Sundance https://www.conservapedia.com/index.php?title=Differentiation&diff=469665 Differentiation 2008-06-09T04:45:57Z

<p>Sundance: </p> <hr /> <div>Algebraic '''differentiation''' is an important part of [[calculus]], an essential branch of [[mathematics]] in the modern age. This mathematical tool is denoted by the expression ''dy/dx'', and has a pivotal role to play in a wide range of fields. For example, differentiation can be used in [[mechanics]] to find the acceleration of an object from a velocity-time graph.<br /> <br /> Essentially, differentiation is employed as a means to calculate the [[gradient]] or rate of change at a particular value for a given function, ''f''. Consequently, it can be used to calculate velocity from a displacement-time graph, or acceleration from a velocity-time graph. Furthermore, it can be used to calculate the rate of cooling from a temperature-time graph. These are a few examples of the applications of differentiation.<br /> The general formula for a derivative of a function is:<br /> <br /> <math>f'(x)=lim<sub>h→0 </sub>\frac{f(x+h)-f(x)}{h}</math><br /> <br /> In [[classical mathematics]], a function can be be differentiated using the general formula:<br /> <br /> <math>\frac{dy}{dx} = nx^{(n-1)}</math><br /> <br /> For example, if <math>y = 3 x^2</math>, the derivative with respect to <math>x</math> is <br /> <br /> <math>\frac{dy}{dx} = 6 x</math><br /> <br /> Thus the '''[[derivative]]''' is a measurement of how a function changes when the values of its inputs vary. Having calculated the derivative, the original input (in the above example, x) can be substituted in to work out the gradient. Moreover, differentiation can be employed to calculate the maxima and minima of a function (e.g. to ascertain the maximum velocity of an object in a function defining how its displacement varies with time), whereby dy/dx=0.<br /> <br /> ===Differentiation Rules===<br /> *[[Product rule]]<br /> *[[Quotient rule]]<br /> *[[Chain rule]]<br /> <br /> The roots of differentiation are profoundly linked with tangency; ergo, this aspect of mathematics can first be perceived to have been developed during the time of the [[Ancient Greeks]] through the work of Greek geometers like [[Euclid]], [[Sanath]] and [[Archimides]].<br /> <br /> [[Category:Calculus]]<br /> [[Category: Mathematics]]</div>

Sundance https://www.conservapedia.com/index.php?title=Differentiation&diff=469664 Differentiation 2008-06-09T04:45:31Z

<p>Sundance: </p> <hr /> <div>Algebraic '''differentiation''' is an important part of [[calculus]], an essential branch of [[mathematics]] in the modern age. This mathematical tool is denoted by the expression ''dy/dx'', and has a pivotal role to play in a wide range of fields. For example, differentiation can be used in [[mechanics]] to find the acceleration of an object from a velocity-time graph.<br /> <br /> Essentially, differentiation is employed as a means to calculate the [[gradient]] or rate of change at a particular value for a given function, ''f''. Consequently, it can be used to calculate velocity from a displacement-time graph, or acceleration from a velocity-time graph. Furthermore, it can be used to calculate the rate of cooling from a temperature-time graph. These are a few examples of the applications of differentiation.<br /> The general formula for a derivative of a function is:<br /> <br /> <math>f'(x)=lim<sub>Subscript text</sub>\frac{f(x+h)-f(x)}{h}</math><br /> <br /> In [[classical mathematics]], a function can be be differentiated using the general formula:<br /> <br /> <math>\frac{dy}{dx} = nx^{(n-1)}</math><br /> <br /> For example, if <math>y = 3 x^2</math>, the derivative with respect to <math>x</math> is <br /> <br /> <math>\frac{dy}{dx} = 6 x</math><br /> <br /> Thus the '''[[derivative]]''' is a measurement of how a function changes when the values of its inputs vary. Having calculated the derivative, the original input (in the above example, x) can be substituted in to work out the gradient. Moreover, differentiation can be employed to calculate the maxima and minima of a function (e.g. to ascertain the maximum velocity of an object in a function defining how its displacement varies with time), whereby dy/dx=0.<br /> <br /> ===Differentiation Rules===<br /> *[[Product rule]]<br /> *[[Quotient rule]]<br /> *[[Chain rule]]<br /> <br /> The roots of differentiation are profoundly linked with tangency; ergo, this aspect of mathematics can first be perceived to have been developed during the time of the [[Ancient Greeks]] through the work of Greek geometers like [[Euclid]], [[Sanath]] and [[Archimides]].<br /> <br /> [[Category:Calculus]]<br /> [[Category: Mathematics]]</div>

Sundance https://www.conservapedia.com/index.php?title=Differentiation&diff=469661 Differentiation 2008-06-09T04:45:10Z

<p>Sundance: </p> <hr /> <div>Algebraic '''differentiation''' is an important part of [[calculus]], an essential branch of [[mathematics]] in the modern age. This mathematical tool is denoted by the expression ''dy/dx'', and has a pivotal role to play in a wide range of fields. For example, differentiation can be used in [[mechanics]] to find the acceleration of an object from a velocity-time graph.<br /> <br /> Essentially, differentiation is employed as a means to calculate the [[gradient]] or rate of change at a particular value for a given function, ''f''. Consequently, it can be used to calculate velocity from a displacement-time graph, or acceleration from a velocity-time graph. Furthermore, it can be used to calculate the rate of cooling from a temperature-time graph. These are a few examples of the applications of differentiation.<br /> The general formula for a derivative of a function is:<br /> <br /> <math>f'(x)=lim <sub>h→0</sub>\frac{f(x+h)-f(x)}{h}</math><br /> <br /> In [[classical mathematics]], a function can be be differentiated using the general formula:<br /> <br /> <math>\frac{dy}{dx} = nx^{(n-1)}</math><br /> <br /> For example, if <math>y = 3 x^2</math>, the derivative with respect to <math>x</math> is <br /> <br /> <math>\frac{dy}{dx} = 6 x</math><br /> <br /> Thus the '''[[derivative]]''' is a measurement of how a function changes when the values of its inputs vary. Having calculated the derivative, the original input (in the above example, x) can be substituted in to work out the gradient. Moreover, differentiation can be employed to calculate the maxima and minima of a function (e.g. to ascertain the maximum velocity of an object in a function defining how its displacement varies with time), whereby dy/dx=0.<br /> <br /> ===Differentiation Rules===<br /> *[[Product rule]]<br /> *[[Quotient rule]]<br /> *[[Chain rule]]<br /> <br /> The roots of differentiation are profoundly linked with tangency; ergo, this aspect of mathematics can first be perceived to have been developed during the time of the [[Ancient Greeks]] through the work of Greek geometers like [[Euclid]], [[Sanath]] and [[Archimides]].<br /> <br /> [[Category:Calculus]]<br /> [[Category: Mathematics]]</div>

Sundance https://www.conservapedia.com/index.php?title=Differentiation&diff=469659 Differentiation 2008-06-09T04:44:39Z

<p>Sundance: </p> <hr /> <div>Algebraic '''differentiation''' is an important part of [[calculus]], an essential branch of [[mathematics]] in the modern age. This mathematical tool is denoted by the expression ''dy/dx'', and has a pivotal role to play in a wide range of fields. For example, differentiation can be used in [[mechanics]] to find the acceleration of an object from a velocity-time graph.<br /> <br /> Essentially, differentiation is employed as a means to calculate the [[gradient]] or rate of change at a particular value for a given function, ''f''. Consequently, it can be used to calculate velocity from a displacement-time graph, or acceleration from a velocity-time graph. Furthermore, it can be used to calculate the rate of cooling from a temperature-time graph. These are a few examples of the applications of differentiation.<br /> The general formula for a derivative of a function is:<br /> <br /> <math>f'(x)=lim \frac{f(x+h)-f(x)}{h}</math><br /> <br /> In [[classical mathematics]], a function can be be differentiated using the general formula:<br /> <br /> <math>\frac{dy}{dx} = nx^{(n-1)}</math><br /> <br /> For example, if <math>y = 3 x^2</math>, the derivative with respect to <math>x</math> is <br /> <br /> <math>\frac{dy}{dx} = 6 x</math><br /> <br /> Thus the '''[[derivative]]''' is a measurement of how a function changes when the values of its inputs vary. Having calculated the derivative, the original input (in the above example, x) can be substituted in to work out the gradient. Moreover, differentiation can be employed to calculate the maxima and minima of a function (e.g. to ascertain the maximum velocity of an object in a function defining how its displacement varies with time), whereby dy/dx=0.<br /> <br /> ===Differentiation Rules===<br /> *[[Product rule]]<br /> *[[Quotient rule]]<br /> *[[Chain rule]]<br /> <br /> The roots of differentiation are profoundly linked with tangency; ergo, this aspect of mathematics can first be perceived to have been developed during the time of the [[Ancient Greeks]] through the work of Greek geometers like [[Euclid]], [[Sanath]] and [[Archimides]].<br /> <br /> [[Category:Calculus]]<br /> [[Category: Mathematics]]</div>

Sundance https://www.conservapedia.com/index.php?title=Differentiation&diff=469658 Differentiation 2008-06-09T04:44:28Z

<p>Sundance: </p> <hr /> <div>Algebraic '''differentiation''' is an important part of [[calculus]], an essential branch of [[mathematics]] in the modern age. This mathematical tool is denoted by the expression ''dy/dx'', and has a pivotal role to play in a wide range of fields. For example, differentiation can be used in [[mechanics]] to find the acceleration of an object from a velocity-time graph.<br /> <br /> Essentially, differentiation is employed as a means to calculate the [[gradient]] or rate of change at a particular value for a given function, ''f''. Consequently, it can be used to calculate velocity from a displacement-time graph, or acceleration from a velocity-time graph. Furthermore, it can be used to calculate the rate of cooling from a temperature-time graph. These are a few examples of the applications of differentiation.<br /> The general formula for a derivative of a function is:<br /> <br /> <math>f'(x)=lim<sub> h→0 </sub> \frac{f(x+h)-f(x)}{h}</math><br /> <br /> In [[classical mathematics]], a function can be be differentiated using the general formula:<br /> <br /> <math>\frac{dy}{dx} = nx^{(n-1)}</math><br /> <br /> For example, if <math>y = 3 x^2</math>, the derivative with respect to <math>x</math> is <br /> <br /> <math>\frac{dy}{dx} = 6 x</math><br /> <br /> Thus the '''[[derivative]]''' is a measurement of how a function changes when the values of its inputs vary. Having calculated the derivative, the original input (in the above example, x) can be substituted in to work out the gradient. Moreover, differentiation can be employed to calculate the maxima and minima of a function (e.g. to ascertain the maximum velocity of an object in a function defining how its displacement varies with time), whereby dy/dx=0.<br /> <br /> ===Differentiation Rules===<br /> *[[Product rule]]<br /> *[[Quotient rule]]<br /> *[[Chain rule]]<br /> <br /> The roots of differentiation are profoundly linked with tangency; ergo, this aspect of mathematics can first be perceived to have been developed during the time of the [[Ancient Greeks]] through the work of Greek geometers like [[Euclid]], [[Sanath]] and [[Archimides]].<br /> <br /> [[Category:Calculus]]<br /> [[Category: Mathematics]]</div>

Sundance https://www.conservapedia.com/index.php?title=Differentiation&diff=469657 Differentiation 2008-06-09T04:44:16Z

<p>Sundance: </p> <hr /> <div>Algebraic '''differentiation''' is an important part of [[calculus]], an essential branch of [[mathematics]] in the modern age. This mathematical tool is denoted by the expression ''dy/dx'', and has a pivotal role to play in a wide range of fields. For example, differentiation can be used in [[mechanics]] to find the acceleration of an object from a velocity-time graph.<br /> <br /> Essentially, differentiation is employed as a means to calculate the [[gradient]] or rate of change at a particular value for a given function, ''f''. Consequently, it can be used to calculate velocity from a displacement-time graph, or acceleration from a velocity-time graph. Furthermore, it can be used to calculate the rate of cooling from a temperature-time graph. These are a few examples of the applications of differentiation.<br /> The general formula for a derivative of a function is:<br /> <br /> <math>f'(x)=lim<sub>h→0</sub> \frac{f(x+h)-f(x)}{h}</math><br /> <br /> In [[classical mathematics]], a function can be be differentiated using the general formula:<br /> <br /> <math>\frac{dy}{dx} = nx^{(n-1)}</math><br /> <br /> For example, if <math>y = 3 x^2</math>, the derivative with respect to <math>x</math> is <br /> <br /> <math>\frac{dy}{dx} = 6 x</math><br /> <br /> Thus the '''[[derivative]]''' is a measurement of how a function changes when the values of its inputs vary. Having calculated the derivative, the original input (in the above example, x) can be substituted in to work out the gradient. Moreover, differentiation can be employed to calculate the maxima and minima of a function (e.g. to ascertain the maximum velocity of an object in a function defining how its displacement varies with time), whereby dy/dx=0.<br /> <br /> ===Differentiation Rules===<br /> *[[Product rule]]<br /> *[[Quotient rule]]<br /> *[[Chain rule]]<br /> <br /> The roots of differentiation are profoundly linked with tangency; ergo, this aspect of mathematics can first be perceived to have been developed during the time of the [[Ancient Greeks]] through the work of Greek geometers like [[Euclid]], [[Sanath]] and [[Archimides]].<br /> <br /> [[Category:Calculus]]<br /> [[Category: Mathematics]]</div>

Sundance https://www.conservapedia.com/index.php?title=Differentiation&diff=469656 Differentiation 2008-06-09T04:43:59Z

<p>Sundance: </p> <hr /> <div>Algebraic '''differentiation''' is an important part of [[calculus]], an essential branch of [[mathematics]] in the modern age. This mathematical tool is denoted by the expression ''dy/dx'', and has a pivotal role to play in a wide range of fields. For example, differentiation can be used in [[mechanics]] to find the acceleration of an object from a velocity-time graph.<br /> <br /> Essentially, differentiation is employed as a means to calculate the [[gradient]] or rate of change at a particular value for a given function, ''f''. Consequently, it can be used to calculate velocity from a displacement-time graph, or acceleration from a velocity-time graph. Furthermore, it can be used to calculate the rate of cooling from a temperature-time graph. These are a few examples of the applications of differentiation.<br /> The general formula for a derivative of a function is:<br /> <br /> <math>f'(x)=lim <sub>h→0</sub> \frac{f(x+h)-f(x)}{h}</math><br /> <br /> In [[classical mathematics]], a function can be be differentiated using the general formula:<br /> <br /> <math>\frac{dy}{dx} = nx^{(n-1)}</math><br /> <br /> For example, if <math>y = 3 x^2</math>, the derivative with respect to <math>x</math> is <br /> <br /> <math>\frac{dy}{dx} = 6 x</math><br /> <br /> Thus the '''[[derivative]]''' is a measurement of how a function changes when the values of its inputs vary. Having calculated the derivative, the original input (in the above example, x) can be substituted in to work out the gradient. Moreover, differentiation can be employed to calculate the maxima and minima of a function (e.g. to ascertain the maximum velocity of an object in a function defining how its displacement varies with time), whereby dy/dx=0.<br /> <br /> ===Differentiation Rules===<br /> *[[Product rule]]<br /> *[[Quotient rule]]<br /> *[[Chain rule]]<br /> <br /> The roots of differentiation are profoundly linked with tangency; ergo, this aspect of mathematics can first be perceived to have been developed during the time of the [[Ancient Greeks]] through the work of Greek geometers like [[Euclid]], [[Sanath]] and [[Archimides]].<br /> <br /> [[Category:Calculus]]<br /> [[Category: Mathematics]]</div>

Sundance https://www.conservapedia.com/index.php?title=Differentiation&diff=469655 Differentiation 2008-06-09T04:43:49Z

<p>Sundance: </p> <hr /> <div>Algebraic '''differentiation''' is an important part of [[calculus]], an essential branch of [[mathematics]] in the modern age. This mathematical tool is denoted by the expression ''dy/dx'', and has a pivotal role to play in a wide range of fields. For example, differentiation can be used in [[mechanics]] to find the acceleration of an object from a velocity-time graph.<br /> <br /> Essentially, differentiation is employed as a means to calculate the [[gradient]] or rate of change at a particular value for a given function, ''f''. Consequently, it can be used to calculate velocity from a displacement-time graph, or acceleration from a velocity-time graph. Furthermore, it can be used to calculate the rate of cooling from a temperature-time graph. These are a few examples of the applications of differentiation.<br /> The general formula for a derivative of a function is:<br /> <br /> <math>f'(x)=lim(<sub>h→0</sub>)\frac{f(x+h)-f(x)}{h}</math><br /> <br /> In [[classical mathematics]], a function can be be differentiated using the general formula:<br /> <br /> <math>\frac{dy}{dx} = nx^{(n-1)}</math><br /> <br /> For example, if <math>y = 3 x^2</math>, the derivative with respect to <math>x</math> is <br /> <br /> <math>\frac{dy}{dx} = 6 x</math><br /> <br /> Thus the '''[[derivative]]''' is a measurement of how a function changes when the values of its inputs vary. Having calculated the derivative, the original input (in the above example, x) can be substituted in to work out the gradient. Moreover, differentiation can be employed to calculate the maxima and minima of a function (e.g. to ascertain the maximum velocity of an object in a function defining how its displacement varies with time), whereby dy/dx=0.<br /> <br /> ===Differentiation Rules===<br /> *[[Product rule]]<br /> *[[Quotient rule]]<br /> *[[Chain rule]]<br /> <br /> The roots of differentiation are profoundly linked with tangency; ergo, this aspect of mathematics can first be perceived to have been developed during the time of the [[Ancient Greeks]] through the work of Greek geometers like [[Euclid]], [[Sanath]] and [[Archimides]].<br /> <br /> [[Category:Calculus]]<br /> [[Category: Mathematics]]</div>

Sundance https://www.conservapedia.com/index.php?title=Differentiation&diff=469654 Differentiation 2008-06-09T04:43:34Z

<p>Sundance: </p> <hr /> <div>Algebraic '''differentiation''' is an important part of [[calculus]], an essential branch of [[mathematics]] in the modern age. This mathematical tool is denoted by the expression ''dy/dx'', and has a pivotal role to play in a wide range of fields. For example, differentiation can be used in [[mechanics]] to find the acceleration of an object from a velocity-time graph.<br /> <br /> Essentially, differentiation is employed as a means to calculate the [[gradient]] or rate of change at a particular value for a given function, ''f''. Consequently, it can be used to calculate velocity from a displacement-time graph, or acceleration from a velocity-time graph. Furthermore, it can be used to calculate the rate of cooling from a temperature-time graph. These are a few examples of the applications of differentiation.<br /> The general formula for a derivative of a function is:<br /> <br /> <math>f'(x)=lim<sub>h→0</sub>\frac{f(x+h)-f(x)}{h}</math><br /> <br /> In [[classical mathematics]], a function can be be differentiated using the general formula:<br /> <br /> <math>\frac{dy}{dx} = nx^{(n-1)}</math><br /> <br /> For example, if <math>y = 3 x^2</math>, the derivative with respect to <math>x</math> is <br /> <br /> <math>\frac{dy}{dx} = 6 x</math><br /> <br /> Thus the '''[[derivative]]''' is a measurement of how a function changes when the values of its inputs vary. Having calculated the derivative, the original input (in the above example, x) can be substituted in to work out the gradient. Moreover, differentiation can be employed to calculate the maxima and minima of a function (e.g. to ascertain the maximum velocity of an object in a function defining how its displacement varies with time), whereby dy/dx=0.<br /> <br /> ===Differentiation Rules===<br /> *[[Product rule]]<br /> *[[Quotient rule]]<br /> *[[Chain rule]]<br /> <br /> The roots of differentiation are profoundly linked with tangency; ergo, this aspect of mathematics can first be perceived to have been developed during the time of the [[Ancient Greeks]] through the work of Greek geometers like [[Euclid]], [[Sanath]] and [[Archimides]].<br /> <br /> [[Category:Calculus]]<br /> [[Category: Mathematics]]</div>

Sundance https://www.conservapedia.com/index.php?title=Differentiation&diff=469653 Differentiation 2008-06-09T04:42:58Z

<p>Sundance: </p> <hr /> <div>Algebraic '''differentiation''' is an important part of [[calculus]], an essential branch of [[mathematics]] in the modern age. This mathematical tool is denoted by the expression ''dy/dx'', and has a pivotal role to play in a wide range of fields. For example, differentiation can be used in [[mechanics]] to find the acceleration of an object from a velocity-time graph.<br /> <br /> Essentially, differentiation is employed as a means to calculate the [[gradient]] or rate of change at a particular value for a given function, ''f''. Consequently, it can be used to calculate velocity from a displacement-time graph, or acceleration from a velocity-time graph. Furthermore, it can be used to calculate the rate of cooling from a temperature-time graph. These are a few examples of the applications of differentiation.<br /> The general formula for a derivative of a function is:<br /> <br /> <math>f'(x)=lim<sub>h0</sub>\frac{f(x+h)-f(x)}{h}</math><br /> <br /> In [[classical mathematics]], a function can be be differentiated using the general formula:<br /> <br /> <math>\frac{dy}{dx} = nx^{(n-1)}</math><br /> <br /> For example, if <math>y = 3 x^2</math>, the derivative with respect to <math>x</math> is <br /> <br /> <math>\frac{dy}{dx} = 6 x</math><br /> <br /> Thus the '''[[derivative]]''' is a measurement of how a function changes when the values of its inputs vary. Having calculated the derivative, the original input (in the above example, x) can be substituted in to work out the gradient. Moreover, differentiation can be employed to calculate the maxima and minima of a function (e.g. to ascertain the maximum velocity of an object in a function defining how its displacement varies with time), whereby dy/dx=0.<br /> <br /> ===Differentiation Rules===<br /> *[[Product rule]]<br /> *[[Quotient rule]]<br /> *[[Chain rule]]<br /> <br /> The roots of differentiation are profoundly linked with tangency; ergo, this aspect of mathematics can first be perceived to have been developed during the time of the [[Ancient Greeks]] through the work of Greek geometers like [[Euclid]], [[Sanath]] and [[Archimides]].<br /> <br /> [[Category:Calculus]]<br /> [[Category: Mathematics]]</div>

Sundance https://www.conservapedia.com/index.php?title=Differentiation&diff=469652 Differentiation 2008-06-09T04:42:40Z

<p>Sundance: </p> <hr /> <div>Algebraic '''differentiation''' is an important part of [[calculus]], an essential branch of [[mathematics]] in the modern age. This mathematical tool is denoted by the expression ''dy/dx'', and has a pivotal role to play in a wide range of fields. For example, differentiation can be used in [[mechanics]] to find the acceleration of an object from a velocity-time graph.<br /> <br /> Essentially, differentiation is employed as a means to calculate the [[gradient]] or rate of change at a particular value for a given function, ''f''. Consequently, it can be used to calculate velocity from a displacement-time graph, or acceleration from a velocity-time graph. Furthermore, it can be used to calculate the rate of cooling from a temperature-time graph. These are a few examples of the applications of differentiation.<br /> The general formula for a derivative of a function is:<br /> <br /> <math>f'(x)=lim<sub>h→0</sub>\frac{f(x+h)-f(x)}{h}</math><br /> <br /> In [[classical mathematics]], a function can be be differentiated using the general formula:<br /> <br /> <math>\frac{dy}{dx} = nx^{(n-1)}</math><br /> <br /> For example, if <math>y = 3 x^2</math>, the derivative with respect to <math>x</math> is <br /> <br /> <math>\frac{dy}{dx} = 6 x</math><br /> <br /> Thus the '''[[derivative]]''' is a measurement of how a function changes when the values of its inputs vary. Having calculated the derivative, the original input (in the above example, x) can be substituted in to work out the gradient. Moreover, differentiation can be employed to calculate the maxima and minima of a function (e.g. to ascertain the maximum velocity of an object in a function defining how its displacement varies with time), whereby dy/dx=0.<br /> <br /> ===Differentiation Rules===<br /> *[[Product rule]]<br /> *[[Quotient rule]]<br /> *[[Chain rule]]<br /> <br /> The roots of differentiation are profoundly linked with tangency; ergo, this aspect of mathematics can first be perceived to have been developed during the time of the [[Ancient Greeks]] through the work of Greek geometers like [[Euclid]], [[Sanath]] and [[Archimides]].<br /> <br /> [[Category:Calculus]]<br /> [[Category: Mathematics]]</div>

Sundance