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maarksman committed Sep 6, 2017
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66 changes: 33 additions & 33 deletions ...ds Library- Main/Euclids Library/GCD.html → www/GCD.html
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<!doctype html>
<html lang-"en">
<head>
<meta charset="utf-8">
<Title> Greatest Common Divisor</title>
<script type="text/javascript" src="http://code.jquery.com/jquery-latest.min.js"> </script>
<link href="http://aimath.org/knowlstyle.css" rel="stylesheet" type="text/css" />
<script type="text/javascript" src="http://aimath.org/knowl.js"></script>
<script type="text/x-mathjax-config">
MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}});
</script>
<script type="text/javascript" async
src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_CHTML">
</script>
</head>
<body>
<header>
<h1>Greatest Common Divisor</h1>
</header>

<article>
<p>(Of two or more integers) the largest integer which divides each number of a set of integers </p>

<p><p>When $a \ne 0$, there are two solutions to \(ax^2 + bx + c = 0\) and they are
$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$</p>

<p> <p>When $a \ne 0$, there are two solutions to \(ax^2 + bx + c = 0\) and they are
<a knowl="GCD.html">$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$</a></p>
</article>



</body>
<!doctype html>
<html lang-"en">
<head>
<meta charset="utf-8">
<Title> Greatest Common Divisor</title>
<script type="text/javascript" src="http://code.jquery.com/jquery-latest.min.js"> </script>
<link href="http://aimath.org/knowlstyle.css" rel="stylesheet" type="text/css" />
<script type="text/javascript" src="http://aimath.org/knowl.js"></script>
<script type="text/x-mathjax-config">
MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}});
</script>
<script type="text/javascript" async
src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_CHTML">
</script>
</head>
<body>
<header>
<h1>Greatest Common Divisor</h1>
</header>

<article>
<p>(Of two or more integers) the largest integer which divides each number of a set of integers </p>

<p><p>When $a \ne 0$, there are two solutions to \(ax^2 + bx + c = 0\) and they are
$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$</p>

<p> <p>When $a \ne 0$, there are two solutions to \(ax^2 + bx + c = 0\) and they are
<a knowl="GCD.html">$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$</a></p>
</article>



</body>
</html>
68 changes: 34 additions & 34 deletions ...s Library- Main/Euclids Library/Line.html → www/Line.html
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<!doctype html>
<html lang-"en">
<head>
<meta charset="utf-8">
<Title>Line</title>
<!--- <script type="text/javascript" src="http://code.jquery.com/jquery-latest.min.js"> </script>
<link href="http://aimath.org/knowlstyle.css" rel="stylesheet" type="text/css" />
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<script type="text/x-mathjax-config">
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</script>
<script type="text/javascript" async
src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_CHTML">
</script>
</head>
<div class="knowlstyle">
<body id="content1">
<header>
<h1><u>Line - Definition</u></h1>
</header>

<article>
<p>An infinite series of points extending infinitely in two directions. </p>
<img src="linesonplane.png" alt="There's a line here" height=200px width= 200px>
</article>

<footer>
<a knowl=#>Example</a> - <a knowl=#>Derivation</a> - <a knowl=#>Common Properties</a> - <a knowl=#>Application</a> <a knowl=#>Sources</a>
</footer>
</div>



</body>
<!doctype html>
<html lang-"en">
<head>
<meta charset="utf-8">
<Title>Line</title>
<!--- <script type="text/javascript" src="http://code.jquery.com/jquery-latest.min.js"> </script>
<link href="http://aimath.org/knowlstyle.css" rel="stylesheet" type="text/css" />
<script type="text/javascript" src="knowl.js"></script> -->
<script type="text/x-mathjax-config">
MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}});
</script>
<script type="text/javascript" async
src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_CHTML">
</script>
</head>
<div class="knowlstyle">
<body id="content1">
<header>
<h1><u>Line - Definition</u></h1>
</header>

<article>
<p>An infinite series of points extending infinitely in two directions. </p>
<img src="linesonplane.png" alt="There's a line here" height=200px width= 200px>
</article>

<footer>
<a knowl=#>Example</a> - <a knowl=#>Derivation</a> - <a knowl=#>Common Properties</a> - <a knowl=#>Application</a> <a knowl=#>Sources</a>
</footer>
</div>



</body>
</html>
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<!doctype html>
<html lang-"en">
<head>
<meta charset="utf-8">
<Title>Quadratic Formula</title>
<link rel="stylesheet" type="text/css" href="css/styles.css">
<script type="text/javascript">var knowlscript = false;</script>
<script type="text/javascript" src="http://code.jquery.com/jquery-latest.min.js"> </script>
<link href="http://aimath.org/knowlstyle.css" rel="stylesheet" type="text/css" />
<script type="text/javascript" src="knowl.js"></script>
<script type="text/x-mathjax-config">
MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}});
</script>
<script type="text/javascript" async
src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_CHTML">
</script>
<script type="text/javascript">var knowlsrcipt = true;</script>
</head>
<body>
<div class="container">

<header>
<img src="images/Eulibbanner.png" alt="Loading....">


</header>
<div class="knowlstyle">
<h1>Quadratic Formula - Definition</h1>

<article>
<p>An equation giving the valuse for which a quadratic polynomial is equal to 0 </p>

<p><p>When $a \ne 0$, there are two solutions to \(ax^2 + bx + c = 0\) and they are <br>
<div class="center"><a knowl="Real_Number.html" >$x$</a> $= {-b \pm \sqrt{b^2-4ac} \over 2a}$</p> </div>
</div>


</article>

<footer>
<a knowl=#>Example</a> - <a knowl=#>Derivation</a> - <a knowl=#>Common Properties</a> - <a knowl=#>Application</a> - <a knowl=#>Sources</a>
</footer>

</div>


</body>
<!doctype html>
<html lang-"en">
<head>
<meta charset="utf-8">
<Title>Quadratic Formula</title>
<link rel="stylesheet" type="text/css" href="css/styles.css">
<script type="text/javascript">var knowlscript = false;</script>
<script type="text/javascript" src="http://code.jquery.com/jquery-latest.min.js"> </script>
<link href="http://aimath.org/knowlstyle.css" rel="stylesheet" type="text/css" />
<script type="text/javascript" src="knowl.js"></script>
<script type="text/x-mathjax-config">
MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}});
</script>
<script type="text/javascript" async
src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_CHTML">
</script>
<script type="text/javascript">var knowlsrcipt = true;</script>
</head>
<body>
<div class="container">

<header>
<img src="images/Eulibbanner.png" alt="Loading....">


</header>
<div class="knowlstyle">
<h1>Quadratic Formula - Definition</h1>

<article>
<p>An equation giving the valuse for which a quadratic polynomial is equal to 0 </p>

<p><p>When $a \ne 0$, there are two solutions to \(ax^2 + bx + c = 0\) and they are <br>
<div class="center"><a knowl="Real_Number.html" >$x$</a> $= {-b \pm \sqrt{b^2-4ac} \over 2a}$</p> </div>
</div>


</article>

<footer>
<a knowl=#>Example</a> - <a knowl=#>Derivation</a> - <a knowl=#>Common Properties</a> - <a knowl=#>Application</a> - <a knowl=#>Sources</a>
</footer>

</div>


</body>
</html>
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<!doctype html>
<html lang-"en">
<head>
<meta charset="utf-8">
<Title>Real Number</title>
<!-- <script type="text/javascript" src="http://code.jquery.com/jquery-latest.min.js"> </script>
<link href="http://aimath.org/knowlstyle.css" rel="stylesheet" type="text/css" />
<script type="text/javascript" src="http://aimath.org/knowl.js"></script>
<script type="text/x-mathjax-config">
MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}});
</script>
<script type="text/javascript" async
src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_CHTML">
</script> -->
</head>
<div class="knowlstyle">
<body id="content">
<header>
<h1>Real Number - Definition</h1>
</header>

<article>
<p>A value representing a quantity along a <a knowl="Line.html">line</a>. </a>
<p>The set of all real numbers is usually denoted $\mathbb{R}$</p>

<img src="../Euclids Library/wikireal number line.png" alt="Loading....">
</article>
<footer>
<a knowl=#>Example</a> - <a knowl=#>Derivation</a> - <a knowl=#>Common Properties</a> - <a knowl=#>Application</a> <a knowl=#>Sources</a>
</footer>
</div>



</body>
<!doctype html>
<html lang-"en">
<head>
<meta charset="utf-8">
<Title>Real Number</title>
<!-- <script type="text/javascript" src="http://code.jquery.com/jquery-latest.min.js"> </script>
<link href="http://aimath.org/knowlstyle.css" rel="stylesheet" type="text/css" />
<script type="text/javascript" src="http://aimath.org/knowl.js"></script>
<script type="text/x-mathjax-config">
MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}});
</script>
<script type="text/javascript" async
src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_CHTML">
</script> -->
</head>
<div class="knowlstyle">
<body id="content">
<header>
<h1>Real Number - Definition</h1>
</header>

<article>
<p>A value representing a quantity along a <a knowl="Line.html">line</a>. </a>
<p>The set of all real numbers is usually denoted $\mathbb{R}$</p>

<img src="../Euclids Library/wikireal number line.png" alt="Loading....">
</article>
<footer>
<a knowl=#>Example</a> - <a knowl=#>Derivation</a> - <a knowl=#>Common Properties</a> - <a knowl=#>Application</a> <a knowl=#>Sources</a>
</footer>
</div>



</body>
</html>
File renamed without changes.
78 changes: 39 additions & 39 deletions ...ibrary- Main/Euclids Library/compact.html → www/compact.html
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<!doctype html>
<html lang-"en">
<head>
<meta charset="utf-8">
<Title>Compactness(Topology) - Theorem 27</title>
<link rel="stylesheet" type="text/css" href="css/styles.css">
<!--<script type="text/javascript">var knowlscript = false;</script>
<script type="text/javascript" src="http://code.jquery.com/jquery-latest.min.js"> </script>
<link href="http://aimath.org/knowlstyle.css" rel="stylesheet" type="text/css" />
<script type="text/javascript" src="knowl.js"></script> -->
<script type="text/x-mathjax-config">
MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}});
</script>
<script type="text/javascript" async
src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_CHTML">
</script>
<script type="text/javascript">var knowlsrcipt = true;</script>
</head>
<div class="knowlstyle">
<body>
<header>
<h1><u>Compact(Topology) - Definition</u></h1>
</header>

<article>
<p>A space $X$ is said to be compact if every open <a knowl="cover.html">covering</a> $A$ of $X$ contains a finite subcollection that also covers $X$ </p>

</article>

<footer>
<a knowl=#>Example</a> - <a knowl=#>Derivation</a> - <a knowl=#>Common Properties</a> - <a knowl=#>Application</a> - <a knowl=#>Sources</a>
</footer>
</body>
</div>





<!doctype html>
<html lang-"en">
<head>
<meta charset="utf-8">
<Title>Compactness(Topology) - Theorem 27</title>
<link rel="stylesheet" type="text/css" href="css/styles.css">
<!--<script type="text/javascript">var knowlscript = false;</script>
<script type="text/javascript" src="http://code.jquery.com/jquery-latest.min.js"> </script>
<link href="http://aimath.org/knowlstyle.css" rel="stylesheet" type="text/css" />
<script type="text/javascript" src="knowl.js"></script> -->
<script type="text/x-mathjax-config">
MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}});
</script>
<script type="text/javascript" async
src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_CHTML">
</script>
<script type="text/javascript">var knowlsrcipt = true;</script>
</head>
<div class="knowlstyle">
<body>
<header>
<h1><u>Compact(Topology) - Definition</u></h1>
</header>

<article>
<p>A space $X$ is said to be compact if every open <a knowl="cover.html">covering</a> $A$ of $X$ contains a finite subcollection that also covers $X$ </p>

</article>

<footer>
<a knowl=#>Example</a> - <a knowl=#>Derivation</a> - <a knowl=#>Common Properties</a> - <a knowl=#>Application</a> - <a knowl=#>Sources</a>
</footer>
</body>
</div>





</html>
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