| <html xmlns='http://www.w3.org/1999/xhtml'> |
| <head> |
| <title>WebKit MathML Demo</title> |
| <style> |
| h2 { |
| color:purple; |
| text-align:center; |
| } |
| |
| p { |
| text-align:center; |
| } |
| |
| p.float { |
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| } |
| </style> |
| </head> |
| <body> |
| |
| <div> |
| <h2>Riemann's Zeta Function</h2> |
| <p> |
| <math xmlns='http://www.w3.org/1998/Math/MathML'> |
| <mi>ζ</mi> |
| <mo stretchy="false">(</mo> |
| <mi>n</mi> |
| <mo stretchy="false">)</mo> |
| <mo>=</mo> |
| <mrow> |
| <munderover> |
| <mo mathsize='big'>∑</mo> |
| <mrow><mi>k</mi><mo>=</mo><mi>1</mi></mrow> |
| <mrow><mi>∞</mi></mrow> |
| </munderover> |
| </mrow> |
| <mrow> |
| <mfrac> |
| <mn>1</mn> |
| <msup><mi>k</mi><mi>n</mi></msup> |
| </mfrac> |
| </mrow> |
| </math> |
| </p> |
| </div> |
| |
| <div> |
| <h2>Fundamental Theorem of Calculus for Ordinary Integrals</h2> |
| <p> |
| <math xmlns='http://www.w3.org/1998/Math/MathML'> |
| <mrow> |
| <msubsup> |
| <mo maxsize="1">∫</mo> |
| <mrow> |
| <mi>x</mi> |
| <mo>=</mo> |
| <mi>a</mi> |
| </mrow> |
| <mi>y</mi> |
| </msubsup> |
| <mrow> |
| <mfrac> |
| <mrow> |
| <mi>d</mi> |
| <mi>f</mi> |
| <mo stretchy="false">(</mo> |
| <mi>x</mi> |
| <mo stretchy="false">)</mo> |
| </mrow> |
| <mrow> |
| <mi>d</mi> |
| <mi>x</mi> |
| </mrow> |
| </mfrac> |
| <mi>d</mi> |
| <mi>x</mi> |
| </mrow> |
| </mrow> |
| <mo>=</mo> |
| <mi>f</mi> |
| <mo stretchy="false">(</mo> |
| <mi>y</mi> |
| <mo stretchy="false">)</mo> |
| <mo>−</mo> |
| <mi>f</mi> |
| <mo stretchy="false">(</mo> |
| <mi>a</mi> |
| <mo stretchy="false">)</mo> |
| </math> |
| <br/><br/> |
| <a href="http://math.mit.edu/classes/18.013A/MathML/chapter21/section01.xhtml">source</a> |
| </p> |
| </div> |
| |
| <div> |
| <h2>The Area Under a Curve</h2> |
| <p> |
| <math xmlns='http://www.w3.org/1998/Math/MathML'> |
| <mrow> |
| <mrow> |
| <msubsup> |
| <mo maxsize="1">∫</mo> |
| <mrow> |
| <mi>x</mi> |
| <mo>=</mo> |
| <mi>a</mi> |
| </mrow> |
| <mrow> |
| <mi>x</mi> |
| <mo>=</mo> |
| <mi>b</mi> |
| </mrow> |
| </msubsup> |
| <mrow> |
| <mi>f</mi> |
| <mo stretchy="false">(</mo> |
| <mi>x</mi> |
| <mo stretchy="false">)</mo> |
| <mi>d</mi> |
| <mi>x</mi> |
| </mrow> |
| </mrow> |
| </mrow> |
| </math> |
| <br/><br/> |
| <a href="http://math.mit.edu/classes/18.013A/MathML/chapter20/section01.xhtml">source</a> |
| </p> |
| </div> |
| |
| <div> |
| <h2>De Moivre's Theorem</h2> |
| <p> |
| <math xmlns='http://www.w3.org/1998/Math/MathML'> |
| <mrow> |
| <msup> |
| <mi>e</mi> |
| <mrow> |
| <mi>i</mi> |
| <mi>θ </mi> |
| </mrow> |
| </msup> |
| <mo>=</mo> |
| <mi> cos</mi> |
| <mo>⁡</mo> |
| <mi>θ </mi> |
| <mo>+</mo> |
| <mi> i </mi> |
| <mi>sin</mi> |
| <mo>⁡</mo> |
| <mi>θ</mi> |
| </mrow> |
| </math> |
| <br/><br/> |
| <a href="http://en.wikipedia.org/wiki/De_Moivre's_formula">source</a> |
| </p> |
| </div> |
| |
| <div> |
| <h2>Math in Normal Flow</h2> |
| <p class="float"> |
| I am a paragraph of text <math xmlns='http://www.w3.org/1998/Math/MathML'><mi>x</mi><mo>+</mo><mn>1</mn></math> with math inline. |
| </p> |
| </div> |
| <div> |
| <h2>Fractions</h2> |
| <p class="float"> |
| <math xmlns='http://www.w3.org/1998/Math/MathML'><mfrac><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mn>2</mn></mfrac></math> |
| </p> |
| <p class="float"> |
| <math xmlns='http://www.w3.org/1998/Math/MathML'><mi>x</mi><mo>+</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mn>2</mn></mfrac></math> |
| </p> |
| <p class="float"> |
| <math xmlns='http://www.w3.org/1998/Math/MathML'> |
| <mfrac> |
| <mi>B</mi> |
| <mi>C</mi> |
| </mfrac><mo> + </mo> |
| <mfrac> |
| <mrow><mi>B</mi><mo> + </mo> |
| <mfrac> |
| <mi>D</mi> |
| <mi>E</mi> |
| </mfrac></mrow> |
| <mi>C</mi> |
| </mfrac><mo> + </mo> |
| <mfrac> |
| <mrow><mi>B</mi><mo> + </mo> |
| <mfrac> |
| <mrow><mi>D</mi><mo> + </mo> |
| <mfrac> |
| <mi>F</mi> |
| <mi>G</mi> |
| </mfrac></mrow> |
| <mi>E</mi> |
| </mfrac></mrow> |
| <mi>C</mi> |
| </mfrac><mo> + </mo> |
| <mfrac> |
| <mi>B</mi> |
| <mrow><mi>C</mi><mo> + </mo> |
| <mfrac> |
| <mi>D</mi> |
| <mrow><mi>E</mi><mo> + </mo> |
| <mfrac> |
| <mi>F</mi> |
| <mi>G</mi> |
| </mfrac></mrow> |
| </mfrac></mrow> |
| </mfrac> |
| </math> |
| </p> |
| </div> |
| <div> |
| <h2>Operator Stretching</h2> |
| <p class="float"> |
| <math xmlns='http://www.w3.org/1998/Math/MathML'><mo>(</mo><mi>x</mi><mo>+</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mn>2</mn></mfrac><mo>)</mo></math> |
| </p> |
| <p class="float"> |
| <math xmlns='http://www.w3.org/1998/Math/MathML'> |
| <mi>y</mi> |
| <mo>(</mo> |
| <munder> |
| <mi>∏</mi> |
| <mi>x</mi> |
| </munder> |
| <mfrac> |
| <mrow><mi>x</mi><mo>+</mo> |
| <mfrac><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mn>2</mn></mfrac> |
| </mrow> |
| <mrow><mi>x</mi><mo>+</mo> |
| <mfrac><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow><mn>2</mn></mfrac> |
| </mrow> |
| </mfrac> |
| <mo>)</mo> |
| </math> |
| </p> |
| <p class="float"> |
| <math xmlns='http://www.w3.org/1998/Math/MathML'> |
| <mo>[</mo> |
| <mtable> |
| <mtr> |
| <mtd><msub><mi>a</mi><mn>11</mn></msub></mtd> |
| <mtd><msub><mi>a</mi><mn>12</mn></msub></mtd> |
| <mtd><msub><mi>a</mi><mn>13</mn></msub></mtd> |
| </mtr> |
| <mtr> |
| <mtd><msub><mi>b</mi><mn>21</mn></msub></mtd> |
| <mtd><msub><mi>b</mi><mn>22</mn></msub></mtd> |
| <mtd><msub><mi>b</mi><mn>23</mn></msub></mtd> |
| </mtr> |
| <mtr> |
| <mtd><msub><mi>c</mi><mn>31</mn></msub></mtd> |
| <mtd><msub><mi>c</mi><mn>32</mn></msub></mtd> |
| <mtd><msub><mi>c</mi><mn>33</mn></msub></mtd> |
| </mtr> |
| </mtable> |
| <mo>]</mo> |
| </math> |
| </p> |
| </div> |
| <div> |
| <h2>Square Roots</h2> |
| <p class="float"> |
| <math xmlns='http://www.w3.org/1998/Math/MathML'> |
| <msqrt><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></msqrt> |
| </math> |
| </p> |
| <p class="float"> |
| <math xmlns='http://www.w3.org/1998/Math/MathML'> |
| <msqrt> |
| <mfrac> |
| <mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow> |
| <mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow> |
| </mfrac> |
| </msqrt> |
| </math> |
| </p> |
| </div> |
| |
| </body> |
| </html> |