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File:Presentation/GeneralLayout/mfrac/mfracZcomp-33
CVS-ID:
Author:Mackichan
Description:Fairly comprehensive test of many mfrac properties

passed (p) failed (f) not-tested (n) broken-test (b) some parts pass (s)


Sample Rendering:

Created by: MathPlayer

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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 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>