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2020-09-02

-- Sep 2 In-Class Exercise
<!DOCTYPE html> <html lang="en">
    <head>
        <title>Gamma Function</title>
      </head>
      <body>
        <h1>Gamma Function</h1>
        <ol>
          <li>
              ∫0	∞	xz-1	e-x	dx
            </li>
          <li>
              <a href=https://en.wikipedia.org/wiki/Gamma_function>Gamma Function Wiki Page</a>
            </li>
          <li>
              Gamma function is useful to model situations involving continuous change
            </li>
        </ol>
      </body>
</html>>
<!DOCTYPE html> <html lang="en"> <head> <title>Gamma Function</title> </head> <body> <h1>Gamma Function</h1> <ol> <li> &int;<sub>0</sub><sup>&infin;</sup>x<sup>z-1</sup>e<sup>-x</sup>dx </li> <li> <a href=https://en.wikipedia.org/wiki/Gamma_function>Gamma Function Wiki Page</a> </li> <li> Gamma function is useful to model situations involving continuous change </li> </ol> </body> </html>>

-- Sep 2 In-Class Exercise
<!DOCTYPE html> <html> <head>
	<title>Gamma Function</title>
</head> <body>
	<h1>Gamma Function</h1>
	<ol>
		<li>∫0	∞	xz-1	e-x	dx</li>
		<li><a href="https://www.wikipedia.org">Math Entry</a></li>
		<li>Gamma is cool</li>
</body> </html>
<!DOCTYPE html> <html> <head> <title>Gamma Function</title> </head> <body> <h1>Gamma Function</h1> <ol> <li>&int;<sub>0</sub><sup>&infin;</sup>x<sup>z-1</sup>e<sup>-x</sup>dx</li> <li><a href="https://www.wikipedia.org">Math Entry</a></li> <li>Gamma is cool</li> </body> </html>

-- Sep 2 In-Class Exercise
<!DOCTYPE html> <body> <title> Gamma Function </title> <h1> Gamma Function </h1>
  <ol>
    <li> ∫0	∞	xz-1	e-x	dx</li>
    <li><a href = "https://en.wikipedia.org/wiki/Gamma_function"> Gamma Function Wikipedia</a></li>
    <li> Cool fact: The Gamma Function is factorials for complex numbers. </li>
  </ol>
</body> </html>
<!DOCTYPE html> <body> <title> Gamma Function </title> <h1> Gamma Function </h1> <ol> <li> &int;<sub>0</sub><sup>&infin;</sup>x<sup>z-1</sup>e<sup>-x</sup>dx</li> <li><a href = "https://en.wikipedia.org/wiki/Gamma_function"> Gamma Function Wikipedia</a></li> <li> Cool fact: The Gamma Function is factorials for complex numbers. </li> </ol> </body> </html>

-- Sep 2 In-Class Exercise
<!DOCTYPE html> <html> <head>
    <title>Gamma Function</title>
</head> <body> <h1>Gamma Function</h1> <ol>
    <li>∫0	∞	xz-1	e-x	dx</li>
    <li>
        <a href = "https://en.wikipedia.org/wiki/Gamma_function"> Wikipedia Page For The Gamma Function</a>
    </li>
    <li>The Gamma function can be seen as being a continuous form of the factorial function </li>
</ol> </body> </html>
(Edited: 2020-09-02)
<!DOCTYPE html> <html> <head> <title>Gamma Function</title> </head> <body> <h1>Gamma Function</h1> <ol> <li>&int;<sub>0</sub><sup>&infin;</sup>x<sup>z-1</sup>e<sup>-x</sup>dx</li> <li> <a href = "https://en.wikipedia.org/wiki/Gamma_function"> Wikipedia Page For The Gamma Function</a> </li> <li>The Gamma function can be seen as being a continuous form of the factorial function </li> </ol> </body> </html>

-- Sep 2 In-Class Exercise
Resource Description for Screen Shot 2020-09-02 at 4.15.01 PM.png
((resource:Screen Shot 2020-09-02 at 4.15.01 PM.png|Resource Description for Screen Shot 2020-09-02 at 4.15.01 PM.png))

-- Sep 2 In-Class Exercise
<!DOCTYPE html> <head> <title>Gamma Function</title> </head>> <html>
    <body>
        <ol> 
            <li>∫0	∞	xz-1	e-x	dx</li>
            <li><a href="https://en.wikipedia.org/wiki/Gamma_function">Gamma Function</a></li>
            <li>he gamma function then is defined as the analytic continuation of this integral function to a meromorphic function that is holomorphic in the whole complex plane except the non-positive integers, where the function has simple poles.</li>
        </ol>
        
    </body>
</html>
<!DOCTYPE html> <head> <title>Gamma Function</title> </head>> <html> <body> <ol> <li>&int;<sub>0</sub><sup>&infin;</sup>x<sup>z-1</sup>e<sup>-x</sup>dx</li> <li><a href="https://en.wikipedia.org/wiki/Gamma_function">Gamma Function</a></li> <li>he gamma function then is defined as the analytic continuation of this integral function to a meromorphic function that is holomorphic in the whole complex plane except the non-positive integers, where the function has simple poles.</li> </ol> </body> </html>

-- Sep 2 In-Class Exercise
<!DOCTYPE html> <html> <head>
  <title>Gamma Function</title>
</head> <body>
<h1>Gamma Function</h1> <p style='font-size:300%'>∫
    ∞	
    0	
    xz-1	
    e-x	
    dx
</p> <h1>Fun Fact:</h1> <p>The gamma function was first introduced by the Swiss mathematician Leonhard Euler (1707-1783) in his goal to generalize the factorial to non integer value.</p> </body> </html>
<!DOCTYPE html> <html> <head> <title>Gamma Function</title> </head> <body> <h1>Gamma Function</h1> <p style='font-size:300%'>&int; <sup>&#8734;</sup> <sub>0</sub> x<sup>z-1</sup> e<sup>-x</sup> dx </p> <h1>Fun Fact:</h1> <p>The gamma function was first introduced by the Swiss mathematician Leonhard Euler (1707-1783) in his goal to generalize the factorial to non integer value.</p> </body> </html>

-- Sep 2 In-Class Exercise
Resource Description for GGkTpfb.png
((resource:GGkTpfb.png|Resource Description for GGkTpfb.png))

-- Sep 2 In-Class Exercise
Resource Description for Screen Shot 2020-09-02 at 4.29.45 PM.png
(Edited: 2020-09-02)
((resource:Screen Shot 2020-09-02 at 4.29.45 PM.png|Resource Description for Screen Shot 2020-09-02 at 4.29.45 PM.png))

-- Sep 2 In-Class Exercise
Gamma Function

Gamma Function

Γ[z] =∫0∞xz-1e-xdx

Gamma Function Wiki Page The gamma function can be seen as a solution to the following interpolation problem: "Find a smooth curve that connects the points {\displaystyle (x,y)}(x,y) given by {\displaystyle y=(x-1)!}{\displaystyle y=(x-1)!} at the positive integer values for {\displaystyle x}x."
(Edited: 2020-09-02)
<nowiki><!doctype html> <html lang="en"> <head> <meta charset="utf-8"> <title>Gamma Function</title> <meta name="description" content="Gamma Function"> <meta name="author" content="SitePoint"> <link rel="stylesheet" href="css/styles.css?v=1.0"> </head> <body> <script src="js/scripts.js"></script> <h1>Gamma Function</h1> <ol> <li> <p>&Gamma;[z] =&int;<sub>0</sub><sup>&infin;</sup>x<sup>z-1</sup>e<sup>-x</sup>dx</p> </li> <li> <a href="https://en.wikipedia.org/wiki/Gamma_function">Gamma Function Wiki Page</a> </li> <li> <b>The gamma function can be seen as a solution to the following interpolation problem: "Find a smooth curve that connects the points {\displaystyle (x,y)}(x,y) given by {\displaystyle y=(x-1)!}{\displaystyle y=(x-1)!} at the positive integer values for {\displaystyle x}x."</b> </li> </ol> </body> </html></nowiki>
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