texmath-0.12.5: test/reader/mml/complex1.test
<<< mml
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE math PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN" "http://www.w3.org/Math/DTD/mathml2/xhtml-math11-f.dtd">
<math xmlns="http://www.w3.org/1998/Math/MathML">
<mtable>
<mtr>
<mtd>
<mtext>Bernoulli Trials</mtext>
</mtd>
<mtd>
<mrow>
<maction actiontype="statusline">
<mrow>
<mi>P</mi>
<mo stretchy="false">(</mo>
<mi>E</mi>
<mo stretchy="false">)</mo>
</mrow>
<mtext>Probability of event E: Get exactly k heads in n coin flips.</mtext>
</maction>
<mo>=</mo>
<maction actiontype="statusline">
<mrow>
<mo>(</mo>
<mfrac linethickness="0">
<mi>n</mi>
<mi>k</mi>
</mfrac>
<mo>)</mo>
</mrow>
<mtext>Number of ways to get exactly k heads in n coin flips</mtext>
</maction>
<msubsup>
<maction actiontype="statusline">
<mi>p</mi>
<mtext>Probability of getting heads in one flip</mtext>
</maction>
<mrow></mrow>
<maction actiontype="statusline">
<mi>k</mi>
<mtext>Number of heads</mtext>
</maction>
</msubsup>
<msubsup>
<maction actiontype="statusline">
<mrow>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>-</mo>
<mi>p</mi>
<mo stretchy="false">)</mo>
</mrow>
<mtext>Probability of getting tails in one flip</mtext>
</maction>
<mrow></mrow>
<maction actiontype="statusline">
<mrow>
<mi>n</mi>
<mo>-</mo>
<mi>k</mi>
</mrow>
<mtext>Number of tails</mtext>
</maction>
</msubsup>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mtext>Cauchy-Schwarz Inequality</mtext>
</mtd>
<mtd>
<mstyle displaystyle="true">
<mrow>
<msubsup>
<mrow>
<mo>(</mo>
<munderover>
<mo>∑</mo>
<mrow>
<mi>k</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msubsup>
<mi>a</mi>
<mi>k</mi>
<mrow></mrow>
</msubsup>
<msubsup>
<mi>b</mi>
<mi>k</mi>
<mrow></mrow>
</msubsup>
<mo>)</mo>
</mrow>
<mrow></mrow>
<mn>2</mn>
</msubsup>
<mo>≤</mo>
<mrow>
<mo>(</mo>
<munderover>
<mo>∑</mo>
<mrow>
<mi>k</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msubsup>
<mi>a</mi>
<mi>k</mi>
<mn>2</mn>
</msubsup>
<mo>)</mo>
</mrow>
<mrow>
<mo>(</mo>
<munderover>
<mo>∑</mo>
<mrow>
<mi>k</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>n</mi>
</munderover>
<msubsup>
<mi>b</mi>
<mi>k</mi>
<mn>2</mn>
</msubsup>
<mo>)</mo>
</mrow>
</mrow>
</mstyle>
</mtd>
</mtr>
<mtr>
<mtd>
<mtext>Cauchy Formula</mtext>
</mtd>
<mtd>
<mstyle displaystyle="true">
<mrow>
<mi>f</mi>
<mo stretchy="false">(</mo>
<mi>z</mi>
<mo stretchy="false">)</mo>
<mtext> </mtext>
<mo>·</mo>
<msubsup>
<mi>Ind</mi>
<mi>γ</mi>
<mrow></mrow>
</msubsup>
<mo stretchy="false">(</mo>
<mi>z</mi>
<mo stretchy="false">)</mo>
<mo>=</mo>
<mfrac>
<mn>1</mn>
<mrow>
<mn>2</mn>
<mi>π</mi>
<mi>i</mi>
</mrow>
</mfrac>
<munderover>
<mo>∮</mo>
<mi>γ</mi>
<mrow></mrow>
</munderover>
<mfrac>
<mrow>
<mi>f</mi>
<mo stretchy="false">(</mo>
<mstyle scriptlevel="1">
<mi>ξ</mi>
</mstyle>
<mo stretchy="false">)</mo>
</mrow>
<mrow>
<mstyle scriptlevel="1">
<mi>ξ</mi>
</mstyle>
<mo>-</mo>
<mi>z</mi>
</mrow>
</mfrac>
<mtext> </mtext>
<mi>d</mi>
<mstyle scriptlevel="1">
<mi>ξ</mi>
</mstyle>
</mrow>
</mstyle>
</mtd>
</mtr>
<mtr>
<mtd>
<mtext>Cross Product</mtext>
</mtd>
<mtd>
<mrow>
<msubsup>
<mstyle fontweight="bold">
<mi>V</mi>
</mstyle>
<mn>1</mn>
<mrow></mrow>
</msubsup>
<mo>×</mo>
<msubsup>
<mstyle fontweight="bold">
<mi>V</mi>
</mstyle>
<mn>2</mn>
<mrow></mrow>
</msubsup>
<mo>=</mo>
<mrow>
<mo>|</mo>
<mtable equalrows="false">
<mtr>
<mtd>
<mstyle fontweight="bold">
<mi>i</mi>
</mstyle>
</mtd>
<mtd>
<mstyle fontweight="bold">
<mi>j</mi>
</mstyle>
</mtd>
<mtd>
<mstyle fontweight="bold">
<mi>k</mi>
</mstyle>
</mtd>
</mtr>
<mtr>
<mtd>
<mfrac>
<mrow>
<mo>∂</mo>
<mi>X</mi>
</mrow>
<mrow>
<mo>∂</mo>
<mi>u</mi>
</mrow>
</mfrac>
</mtd>
<mtd>
<mfrac>
<mrow>
<mo>∂</mo>
<mi>Y</mi>
</mrow>
<mrow>
<mo>∂</mo>
<mi>u</mi>
</mrow>
</mfrac>
</mtd>
<mtd>
<mn>0</mn>
</mtd>
</mtr>
<mtr>
<mtd>
<mfrac>
<mrow>
<mo>∂</mo>
<mi>X</mi>
</mrow>
<mrow>
<mo>∂</mo>
<mi>v</mi>
</mrow>
</mfrac>
</mtd>
<mtd>
<mfrac>
<mrow>
<mo>∂</mo>
<mi>Y</mi>
</mrow>
<mrow>
<mo>∂</mo>
<mi>v</mi>
</mrow>
</mfrac>
</mtd>
<mtd>
<mn>0</mn>
</mtd>
</mtr>
</mtable>
<mo>|</mo>
</mrow>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mtext>Vandermonde Determinant</mtext>
</mtd>
<mtd>
<mstyle displaystyle="true">
<mrow>
<mrow>
<mo>|</mo>
<mtable equalrows="false">
<mtr>
<mtd>
<mn>1</mn>
</mtd>
<mtd>
<mn>1</mn>
</mtd>
<mtd>
<mo>⋯</mo>
</mtd>
<mtd>
<mn>1</mn>
</mtd>
</mtr>
<mtr>
<mtd>
<msubsup>
<mi>v</mi>
<mn>1</mn>
<mrow></mrow>
</msubsup>
</mtd>
<mtd>
<msubsup>
<mi>v</mi>
<mn>2</mn>
<mrow></mrow>
</msubsup>
</mtd>
<mtd>
<mo>⋯</mo>
</mtd>
<mtd>
<msubsup>
<mi>v</mi>
<mi>n</mi>
<mrow></mrow>
</msubsup>
</mtd>
</mtr>
<mtr>
<mtd>
<msubsup>
<mi>v</mi>
<mn>1</mn>
<mn>2</mn>
</msubsup>
</mtd>
<mtd>
<msubsup>
<mi>v</mi>
<mn>2</mn>
<mn>2</mn>
</msubsup>
</mtd>
<mtd>
<mo>⋯</mo>
</mtd>
<mtd>
<msubsup>
<mi>v</mi>
<mi>n</mi>
<mn>2</mn>
</msubsup>
</mtd>
</mtr>
<mtr>
<mtd>
<mo>⋮</mo>
</mtd>
<mtd>
<mo>⋮</mo>
</mtd>
<mtd>
<mo>⋱</mo>
</mtd>
<mtd>
<mo>⋮</mo>
</mtd>
</mtr>
<mtr>
<mtd>
<msubsup>
<mi>v</mi>
<mn>1</mn>
<mrow>
<mi>n</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msubsup>
</mtd>
<mtd>
<msubsup>
<mi>v</mi>
<mn>2</mn>
<mrow>
<mi>n</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msubsup>
</mtd>
<mtd>
<mo>⋯</mo>
</mtd>
<mtd>
<msubsup>
<mi>v</mi>
<mi>n</mi>
<mrow>
<mi>n</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msubsup>
</mtd>
</mtr>
</mtable>
<mo>|</mo>
</mrow>
<mo>=</mo>
<munderover>
<mo>∏</mo>
<mrow>
<mn>1</mn>
<mo>≤</mo>
<mi>i</mi>
<mo><</mo>
<mi>j</mi>
<mo>≤</mo>
<mi>n</mi>
</mrow>
<mrow></mrow>
</munderover>
<mo stretchy="false">(</mo>
<msubsup>
<mi>v</mi>
<mi>j</mi>
<mrow></mrow>
</msubsup>
<mo>-</mo>
<msubsup>
<mi>v</mi>
<mi>i</mi>
<mrow></mrow>
</msubsup>
<mo stretchy="false">)</mo>
</mrow>
</mstyle>
</mtd>
</mtr>
<mtr>
<mtd>
<mtext>Lorenz Equations</mtext>
</mtd>
<mtd>
<mtable columnalign="right center left" equalcolumns="false">
<mtr>
<mtd>
<munderover accent="true">
<mi>x</mi>
<mrow></mrow>
<mo>˙</mo>
</munderover>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mrow>
<mi>σ</mi>
<mo stretchy="false">(</mo>
<mi>y</mi>
<mo>-</mo>
<mi>x</mi>
<mo stretchy="false">)</mo>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<munderover accent="true">
<mi>y</mi>
<mrow></mrow>
<mo>˙</mo>
</munderover>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mrow>
<mi>ρ</mi>
<mi>x</mi>
<mo>-</mo>
<mi>y</mi>
<mo>-</mo>
<mi>x</mi>
<mi>z</mi>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<munderover accent="true">
<mi>z</mi>
<mrow></mrow>
<mo>˙</mo>
</munderover>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mrow>
<mo>-</mo>
<mi>β</mi>
<mi>z</mi>
<mo>+</mo>
<mi>x</mi>
<mi>y</mi>
</mrow>
</mtd>
</mtr>
</mtable>
</mtd>
</mtr>
<mtr>
<mtd>
<mtext>Maxwell's Equations</mtext>
</mtd>
<mtd>
<mstyle displaystyle="true">
<mrow>
<mo>{</mo>
<mtable columnalign="right center left" equalrows="false" equalcolumns="false">
<mtr>
<mtd>
<mrow>
<mo>∇</mo>
<mtext>​</mtext>
<mo>×</mo>
<munderover accent="true">
<mstyle fontweight="bold">
<mi>B</mi>
</mstyle>
<mrow></mrow>
<mo stretchy="true">↼</mo>
</munderover>
<mo>-</mo>
<mtext> </mtext>
<mfrac>
<mn>1</mn>
<mi>c</mi>
</mfrac>
<mtext> </mtext>
<mfrac>
<mrow>
<mo>∂</mo>
<mtext>​</mtext>
<munderover accent="true">
<mstyle fontweight="bold">
<mi>E</mi>
</mstyle>
<mrow></mrow>
<mo stretchy="true">↼</mo>
</munderover>
</mrow>
<mrow>
<mo>∂</mo>
<mtext>​</mtext>
<mi>t</mi>
</mrow>
</mfrac>
</mrow>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mrow>
<mfrac>
<mrow>
<mn>4</mn>
<mi>π</mi>
</mrow>
<mi>c</mi>
</mfrac>
<mtext> </mtext>
<munderover accent="true">
<mstyle fontweight="bold">
<mi>j</mi>
</mstyle>
<mrow></mrow>
<mo stretchy="true">↼</mo>
</munderover>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>∇</mo>
<mtext>​</mtext>
<mo>·</mo>
<munderover accent="true">
<mstyle fontweight="bold">
<mi>E</mi>
</mstyle>
<mrow></mrow>
<mo stretchy="true">↼</mo>
</munderover>
</mrow>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mrow>
<mn>4</mn>
<mi>π</mi>
<mi>ρ</mi>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>∇</mo>
<mtext>​</mtext>
<mo>×</mo>
<munderover accent="true">
<mstyle fontweight="bold">
<mi>E</mi>
</mstyle>
<mrow></mrow>
<mo stretchy="true">↼</mo>
</munderover>
<mtext> </mtext>
<mo>+</mo>
<mtext> </mtext>
<mfrac>
<mn>1</mn>
<mi>c</mi>
</mfrac>
<mtext> </mtext>
<mfrac>
<mrow>
<mo>∂</mo>
<mtext>​</mtext>
<munderover accent="true">
<mstyle fontweight="bold">
<mi>B</mi>
</mstyle>
<mrow></mrow>
<mo stretchy="true">↼</mo>
</munderover>
</mrow>
<mrow>
<mo>∂</mo>
<mtext>​</mtext>
<mi>t</mi>
</mrow>
</mfrac>
</mrow>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<munderover accent="true">
<mstyle fontweight="bold">
<mn>0</mn>
</mstyle>
<mrow></mrow>
<mo stretchy="true">↼</mo>
</munderover>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>∇</mo>
<mtext>​</mtext>
<mo>·</mo>
<munderover accent="true">
<mstyle fontweight="bold">
<mi>B</mi>
</mstyle>
<mrow></mrow>
<mo stretchy="true">↼</mo>
</munderover>
</mrow>
</mtd>
<mtd>
<mo>=</mo>
</mtd>
<mtd>
<mn>0</mn>
</mtd>
</mtr>
</mtable>
</mrow>
</mstyle>
</mtd>
</mtr>
<mtr>
<mtd>
<mtext>Einstein Field Equations</mtext>
</mtd>
<mtd>
<mstyle displaystyle="true">
<mrow>
<msubsup>
<mstyle fontstyle="normal">
<mi>R</mi>
</mstyle>
<mstyle scriptlevel="1">
<mrow>
<mi>μ</mi>
<mi>ν</mi>
</mrow>
</mstyle>
<mrow></mrow>
</msubsup>
<mo>-</mo>
<mfrac>
<mn>1</mn>
<mn>2</mn>
</mfrac>
<mtext> </mtext>
<msubsup>
<mi>g</mi>
<mstyle scriptlevel="1">
<mrow>
<mi>μ</mi>
<mi>ν</mi>
</mrow>
</mstyle>
<mrow></mrow>
</msubsup>
<mtext> </mtext>
<mstyle fontstyle="normal">
<mi>R</mi>
</mstyle>
<mo>=</mo>
<mfrac>
<mrow>
<mn>8</mn>
<mi>π</mi>
<mstyle fontstyle="normal">
<mi>G</mi>
</mstyle>
</mrow>
<msubsup>
<mi>c</mi>
<mrow></mrow>
<mn>4</mn>
</msubsup>
</mfrac>
<mtext> </mtext>
<msubsup>
<mstyle fontstyle="normal">
<mi>T</mi>
</mstyle>
<mstyle scriptlevel="1">
<mrow>
<mi>μ</mi>
<mi>ν</mi>
</mrow>
</mstyle>
<mrow></mrow>
</msubsup>
</mrow>
</mstyle>
</mtd>
</mtr>
<mtr>
<mtd>
<mtext>Ramanujan Identity</mtext>
</mtd>
<mtd>
<mrow>
<mfrac>
<mn>1</mn>
<mrow>
<mo stretchy="false">(</mo>
<msqrt>
<mrow>
<mi>φ</mi>
<msqrt>
<mn>5</mn>
</msqrt>
</mrow>
</msqrt>
<mo>-</mo>
<mi>φ</mi>
<mo stretchy="false">)</mo>
<msubsup>
<mi>e</mi>
<mrow></mrow>
<mfrac>
<mn>25</mn>
<mi>π</mi>
</mfrac>
</msubsup>
</mrow>
</mfrac>
<mo>=</mo>
<mn>1</mn>
<mo>+</mo>
<mstyle scriptlevel="1">
<mfrac>
<msubsup>
<mi>e</mi>
<mrow></mrow>
<mstyle scriptlevel="2">
<mrow>
<mo>-</mo>
<mn>2</mn>
<mi>π</mi>
</mrow>
</mstyle>
</msubsup>
<mrow>
<mn>1</mn>
<mo>+</mo>
<mfrac>
<msubsup>
<mi>e</mi>
<mrow></mrow>
<mstyle scriptlevel="2">
<mrow>
<mo>-</mo>
<mn>4</mn>
<mi>π</mi>
</mrow>
</mstyle>
</msubsup>
<mrow>
<mn>1</mn>
<mo>+</mo>
<mfrac>
<msubsup>
<mi>e</mi>
<mrow></mrow>
<mstyle scriptlevel="2">
<mrow>
<mo>-</mo>
<mn>6</mn>
<mi>π</mi>
</mrow>
</mstyle>
</msubsup>
<mrow>
<mn>1</mn>
<mo>+</mo>
<mfrac>
<msubsup>
<mi>e</mi>
<mrow></mrow>
<mstyle scriptlevel="2">
<mrow>
<mo>-</mo>
<mn>8</mn>
<mi>π</mi>
</mrow>
</mstyle>
</msubsup>
<mrow>
<mn>1</mn>
<mo>+</mo>
<mo>…</mo>
</mrow>
</mfrac>
</mrow>
</mfrac>
</mrow>
</mfrac>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mtext>Another Ramanujan identity</mtext>
</mtd>
<mtd>
<mstyle displaystyle="true">
<mrow>
<munderover>
<mo>∑</mo>
<mrow>
<mi>k</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>∞</mi>
</munderover>
<mfrac>
<mn>1</mn>
<msubsup>
<mn>2</mn>
<mrow></mrow>
<mrow>
<mo stretchy="false">⌊</mo>
<mi>k</mi>
<mo>·</mo>
<mtext>​</mtext>
<mi>φ</mi>
<mo stretchy="false">⌋</mo>
</mrow>
</msubsup>
</mfrac>
<mo>=</mo>
<mstyle scriptlevel="1">
<mfrac>
<mn>1</mn>
<mrow>
<msubsup>
<mn>2</mn>
<mrow></mrow>
<mstyle scriptlevel="2">
<mn>0</mn>
</mstyle>
</msubsup>
<mo>+</mo>
<mfrac>
<mn>1</mn>
<mrow>
<msubsup>
<mn>2</mn>
<mrow></mrow>
<mstyle scriptlevel="2">
<mn>1</mn>
</mstyle>
</msubsup>
<mo>+</mo>
<maction actiontype="toggle">
<mo>⋯</mo>
<mfrac>
<mn>1</mn>
<mrow>
<msubsup>
<mn>2</mn>
<mrow></mrow>
<mstyle scriptlevel="2">
<mn>1</mn>
</mstyle>
</msubsup>
<mo>+</mo>
<mfrac>
<mn>1</mn>
<mrow>
<msubsup>
<mn>2</mn>
<mrow></mrow>
<mstyle scriptlevel="2">
<mn>2</mn>
</mstyle>
</msubsup>
<mo>+</mo>
<maction actiontype="toggle">
<mo>⋯</mo>
<mfrac>
<mn>1</mn>
<mrow>
<msubsup>
<mn>2</mn>
<mrow></mrow>
<mstyle scriptlevel="2">
<mn>3</mn>
</mstyle>
</msubsup>
<mo>+</mo>
<mfrac>
<mn>1</mn>
<mrow>
<msubsup>
<mn>2</mn>
<mrow></mrow>
<mstyle scriptlevel="2">
<mn>5</mn>
</mstyle>
</msubsup>
<mo>+</mo>
<mo>…</mo>
</mrow>
</mfrac>
</mrow>
</mfrac>
</maction>
</mrow>
</mfrac>
</mrow>
</mfrac>
</maction>
</mrow>
</mfrac>
</mrow>
</mfrac>
</mstyle>
</mrow>
</mstyle>
</mtd>
</mtr>
<mtr>
<mtd>
<mtext>Rogers-Ramanujan Identity</mtext>
</mtd>
<mtd>
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<mn>1</mn>
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<mo>∑</mo>
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<mi>k</mi>
<mo>=</mo>
<mn>1</mn>
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<mi>q</mi>
<mrow></mrow>
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<msubsup>
<mi>k</mi>
<mrow></mrow>
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<mo>+</mo>
<mi>k</mi>
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<mo stretchy="false">(</mo>
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<mi>q</mi>
<mrow></mrow>
<mn>2</mn>
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<mo>⋯</mo>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>-</mo>
<msubsup>
<mi>q</mi>
<mrow></mrow>
<mi>k</mi>
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<mo stretchy="false">)</mo>
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<mrow>
<mfrac>
<msubsup>
<mi>q</mi>
<mrow></mrow>
<mn>2</mn>
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<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>-</mo>
<mi>q</mi>
<mo stretchy="false">)</mo>
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<mi>q</mi>
<mrow></mrow>
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<mi>q</mi>
<mo stretchy="false">)</mo>
<mo stretchy="false">(</mo>
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<mo>-</mo>
<msubsup>
<mi>q</mi>
<mrow></mrow>
<mn>2</mn>
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<mo>⋯</mo>
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<maction xmlns:dsi="http://www.dessci.com/mathml" actiontype="highlight" dsi:background="#0000ff">
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<munderover>
<mo>∏</mo>
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<mi>j</mi>
<mo>=</mo>
<mn>0</mn>
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<mn>1</mn>
<mrow>
<mo stretchy="false">(</mo>
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<mo>-</mo>
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<mi>q</mi>
<mrow></mrow>
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<mi>j</mi>
<mo>+</mo>
<mn>2</mn>
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<mo stretchy="false">)</mo>
<mo stretchy="false">(</mo>
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<mo>-</mo>
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<mi>q</mi>
<mrow></mrow>
<mrow>
<mn>5</mn>
<mi>j</mi>
<mo>+</mo>
<mn>3</mn>
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<mo stretchy="false">)</mo>
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<mrow>
<mfrac>
<mn>1</mn>
<mrow>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>-</mo>
<msubsup>
<mi>q</mi>
<mrow></mrow>
<mn>2</mn>
</msubsup>
<mo stretchy="false">)</mo>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>-</mo>
<msubsup>
<mi>q</mi>
<mrow></mrow>
<mn>3</mn>
</msubsup>
<mo stretchy="false">)</mo>
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<mfrac>
<mn>1</mn>
<mrow>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>-</mo>
<msubsup>
<mi>q</mi>
<mrow></mrow>
<mn>7</mn>
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<mo stretchy="false">)</mo>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>-</mo>
<msubsup>
<mi>q</mi>
<mrow></mrow>
<mn>8</mn>
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<mo stretchy="false">)</mo>
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<mo>⋯</mo>
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<mo>,</mo>
<mtext>  </mtext>
<mtext>  </mtext>
<mstyle fontstyle="normal">
<mrow>
<mi>f</mi>
<mi>o</mi>
<mi>r</mi>
</mrow>
</mstyle>
<mtext> </mtext>
<mo stretchy="false">|</mo>
<mi>q</mi>
<mo stretchy="false">|</mo>
<mo><</mo>
<mn>1</mn>
<mi>.</mi>
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</mtd>
</mtr>
<mtr>
<mtd>
<mtext>Commutative Diagram</mtext>
</mtd>
<mtd>
<mtable equalcolumns="false" equalrows="false">
<mtr>
<mtd>
<mi>H</mi>
</mtd>
<mtd>
<mo>←</mo>
</mtd>
<mtd>
<mi>K</mi>
</mtd>
</mtr>
<mtr>
<mtd>
<mo>↓</mo>
</mtd>
<mtd>
<mspace height="100px" width="150px"></mspace>
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<mtd>
<mo>↑</mo>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>H</mi>
</mtd>
<mtd>
<mo>→</mo>
</mtd>
<mtd>
<mi>K</mi>
</mtd>
</mtr>
</mtable>
</mtd>
</mtr>
</mtable> </math>
>>> native
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