https://www.conservapedia.com/api.php?action=feedcontributions&user=111Notavandal&feedformat=atom Conservapedia - User contributions [en] 2019-08-23T11:15:21Z User contributions MediaWiki 1.24.2 https://www.conservapedia.com/index.php?title=Fundamental_theorem_of_calculus&diff=286555 Fundamental theorem of calculus 2007-09-05T15:32:47Z <p>111Notavandal: okay seriously, it says theory in the title</p> <hr /> <div>:''This page is over '''Calculus'''. Calculus is theory, '''not a fact'''. Information presented in this article should be critically interpreted and taken with an open mind. There are true challenges to this debated theory including the [[God dun maths]] theory''.<br /> '''The Fundamental Theorem of Calculus''' is the rather remarkable result that the two fundamental operations of [[calculus]] are just inverses of each other. Those two operations are performed on [[functions]] from the [[real numbers]] to the real numbers, and are most easily visualized when the functions are expressed in terms of graphs. The operations are:<br /> *Differentiation -- find the slope of a function's graph at a given point.<br /> *Integration -- find the area under a graph between two given limits.<br /> The Fundamental Theorem of Calculus says that the two operations are inverses -- to find the area under the graph of f(x) between a and b, find the function g(x) whose derivative is f(x) (that is, find the ''antiderivative'' of f.) The area under the graph of f is just g(b)-g(a).<br /> <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 &lt;math&gt;\frac{x^3}{3}+7&lt;/math&gt; is &lt;math&gt;x^2&lt;/math&gt;. From this it follows that the antiderivative of <br /> &lt;math&gt;x^2&lt;/math&gt; could be &lt;math&gt;\frac{x^3}{3}+7&lt;/math&gt;. But note that the &quot;7&quot; in that formula was a red herring. Adding any constant to a function doesn't change its derivative, so the antiderivative of &lt;math&gt;x^2&lt;/math&gt; could have any constant added to it. This arbitrary constant is usually written '''C''' and is called the &quot;constant of integration. The indefinite integral could be written:<br /> <br /> :&lt;math&gt;\int x^2\ \mathrm{d}x = \frac{x^3}{3} + C\,&lt;/math&gt;,<br /> <br /> The Fundamental Theorem of Calculus says that the area under the graph of &lt;math&gt;x^2&lt;/math&gt; between a and b is the difference in the values of &lt;math&gt;\frac{x^3}{3}+C&lt;/math&gt; between a and b. Note that the constant of integration cancels out.<br /> <br /> This kind of integral is called a ''definite integral'', written with the limits:<br /> <br /> :&lt;math&gt;\int_a^b x^2\ \mathrm{d}x = \frac{b^3}{3} - \frac{a^3}{3}\,&lt;/math&gt;,<br /> <br /> The above is a simplified &quot;intuitive&quot; treatment of calculus and of this theorem. The actual &quot;rigorous&quot; proof, &quot;rigorous&quot; definitions of derivative and integral, and statement of the conditions under which the theorem is true, are beyond the scope of this article.<br /> <br /> [[Category:Mathematics]]</div> 111Notavandal https://www.conservapedia.com/index.php?title=LOD_score&diff=286550 LOD score 2007-09-05T15:31:07Z <p>111Notavandal: </p> <hr /> <div>:''This page is over '''DNA'''. DNA is theory, '''not a fact'''. Information presented in this article should be critically interpreted and taken with an open mind. There are true challenges to this debated theory including the [[God made de way I am]] theory''.<br /> <br /> An '''LOD score''' is a statistical estimate of whether two [[locus|loci]] are likely to lie near each other on a [[chromosome]] and are therefore likely to be inherited together. A LOD score of three or more is generally taken to indicate that the two loci are close.<br /> <br /> == Sources ==<br /> http://www.genome.gov/glossary.cfm?key=LOD%20score<br /> <br /> [[Category:Genetics]]</div> 111Notavandal https://www.conservapedia.com/index.php?title=Bible_Belt&diff=286547 Bible Belt 2007-09-05T15:30:00Z <p>111Notavandal: </p> <hr /> <div>The '''Bible Belt''' is a geographical region including part of the South and midsection of the [[United States]]. Social conservatism is the dominant paradigm in these parts. <br /> <br /> The Bible Belt includes all of the southern states and some of the surrounding. It has a notoriously high teen pregnancy and STD transmission rates. No reason is known why.<br /> <br /> ==Bible Belt States==<br /> * [[Alabama]]<br /> * [[Arkansas]]<br /> * [[Florida]]<br /> * [[Georgia]]<br /> * [[Kentucky]]<br /> * [[Louisiana]]<br /> * [[Mississippi]]<br /> * [[Missouri]]<br /> * [[North Carolina]]<br /> * [[Oklahoma]]<br /> * [[South Carolina]]<br /> * [[Tennessee]]<br /> * [[Texas]]<br /> * [[Virginia]]<br /> * [[West Virginia]]<br /> [[category:United States]]</div> 111Notavandal