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...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> | ||
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<article> | ||
<p>(Of two or more integers) the largest integer which divides each number of a set of integers </p> | ||
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<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> | ||
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<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> | ||
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</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> | ||
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<article> | ||
<p>(Of two or more integers) the largest integer which divides each number of a set of integers </p> | ||
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<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> | ||
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<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> | ||
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</html> |
68 changes: 34 additions & 34 deletions
68
...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" /> | ||
<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> | ||
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<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> | ||
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<footer> | ||
<a knowl=#>Example</a> - <a knowl=#>Derivation</a> - <a knowl=#>Common Properties</a> - <a knowl=#>Application</a> <a knowl=#>Sources</a> | ||
</footer> | ||
</div> | ||
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</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> | ||
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<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> | ||
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<footer> | ||
<a knowl=#>Example</a> - <a knowl=#>Derivation</a> - <a knowl=#>Common Properties</a> - <a knowl=#>Application</a> <a knowl=#>Sources</a> | ||
</footer> | ||
</div> | ||
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</html> |
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...in/Euclids Library/Quadratic Formula.html → www/Quadratic Formula.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"> | ||
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<header> | ||
<img src="images/Eulibbanner.png" alt="Loading...."> | ||
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</header> | ||
<div class="knowlstyle"> | ||
<h1>Quadratic Formula - Definition</h1> | ||
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<article> | ||
<p>An equation giving the valuse for which a quadratic polynomial is equal to 0 </p> | ||
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<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> | ||
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</article> | ||
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<footer> | ||
<a knowl=#>Example</a> - <a knowl=#>Derivation</a> - <a knowl=#>Common Properties</a> - <a knowl=#>Application</a> - <a knowl=#>Sources</a> | ||
</footer> | ||
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</div> | ||
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</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"> | ||
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<header> | ||
<img src="images/Eulibbanner.png" alt="Loading...."> | ||
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</header> | ||
<div class="knowlstyle"> | ||
<h1>Quadratic Formula - Definition</h1> | ||
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<article> | ||
<p>An equation giving the valuse for which a quadratic polynomial is equal to 0 </p> | ||
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<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> | ||
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</article> | ||
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<footer> | ||
<a knowl=#>Example</a> - <a knowl=#>Derivation</a> - <a knowl=#>Common Properties</a> - <a knowl=#>Application</a> - <a knowl=#>Sources</a> | ||
</footer> | ||
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</div> | ||
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</body> | ||
</html> |
70 changes: 35 additions & 35 deletions
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...ry- Main/Euclids Library/Real_Number.html → www/Real_Number.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> | ||
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<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> | ||
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<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> | ||
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</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> | ||
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<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> | ||
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<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> | ||
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78 changes: 39 additions & 39 deletions
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...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> | ||
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<script type="text/javascript">var knowlsrcipt = true;</script> | ||
</head> | ||
<div class="knowlstyle"> | ||
<body> | ||
<header> | ||
<h1><u>Compact(Topology) - Definition</u></h1> | ||
</header> | ||
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<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> | ||
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</article> | ||
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<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> | ||
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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> | ||
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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> | ||
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<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> | ||
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</article> | ||
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<footer> | ||
<a knowl=#>Example</a> - <a knowl=#>Derivation</a> - <a knowl=#>Common Properties</a> - <a knowl=#>Application</a> - <a knowl=#>Sources</a> | ||
</footer> | ||
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