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Alternatives: | (mml file) (full) (simple) (plain) (form) (slideshow)
File: | Presentation/GeneralLayout/mfrac/mfracZcomp-33
CVS-ID: |
Author: | Mackichan
Description: | Fairly comprehensive test of many mfrac properties
Sample Rendering:

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And this shows a combination with a background image at a desired opacity Z α ( f ) = 1 2 i cos ( α π 2 ) ∫ C f ( i z ) ( - z ) α e 2 π z - 1 ⅆ z

Source Code:

    <math xmlns="http://www.w3.org/1998/Math/MathML" mode="display" class="background">
      <mtext>And this shows a combination with a background image at a desired opacity </mtext>
      <mrow class="foreground">
        <msub>
          <mi>Z</mi>
          <mi>&#x003B1;</mi>
        </msub>
        <mrow>
          <mo>(</mo>
          <mi>f</mi>
          <mo>)</mo>
        </mrow>
        <mo>=</mo>
        <mfrac>
          <mn>1</mn>
          <mrow>
            <mn>2</mn>
            <mi>i</mi>
            <mo>&#x02009;</mo>
            <mi>cos</mi>
            <mo>(</mo>
            <mfrac>
              <mrow>
                <mi>&#x003B1;</mi>
                <mi>&#x003C0;</mi>
              </mrow>
              <mn>2</mn>
            </mfrac>
            <mo>)</mo>
          </mrow>
        </mfrac>
        <mrow>
          <msub>
            <mo>&#x0222B;</mo>
            <mi>C</mi>
          </msub>
          <mfrac>
            <mrow>
              <mi>f</mi>
              <mo stretchy="false">(</mo>
              <mi>i</mi>
              <mi>z</mi>
              <mo stretchy="false">)</mo>
              <msup>
                <mrow>
                  <mo>(</mo>
                  <mo>-</mo>
                  <mi>z</mi>
                  <mo>)</mo>
                </mrow>
                <mi>&#x003B1;</mi>
              </msup>
            </mrow>
            <mrow>
              <msup>
                <mi>e</mi>
                <mrow>
                  <mn>2</mn>
                  <mi>&#x003C0;</mi>
                  <mi>z</mi>
                </mrow>
              </msup>
              <mo>-</mo>
              <mn>1</mn>
            </mrow>
          </mfrac>
        </mrow>
        <mo>&#x02146;</mo>
        <mi>z</mi>
      </mrow>
    </math>