texmath-0.6: tests/differentiable_manifold.omml
<?xml version='1.0' ?>
<m:oMathPara>
<m:oMath>
<m:sSub>
<m:e>
<m:r>
<m:rPr />
<m:t>γ</m:t>
</m:r>
</m:e>
<m:sub>
<m:r>
<m:rPr />
<m:t>1</m:t>
</m:r>
</m:sub>
</m:sSub>
<m:r>
<m:rPr />
<m:t>≡</m:t>
</m:r>
<m:sSub>
<m:e>
<m:r>
<m:rPr />
<m:t>γ</m:t>
</m:r>
</m:e>
<m:sub>
<m:r>
<m:rPr />
<m:t>2</m:t>
</m:r>
</m:sub>
</m:sSub>
<m:r>
<m:rPr />
<m:t>⇔</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>{</m:t>
</m:r>
<m:m>
<m:mPr>
<m:baseJc m:val="center" />
<m:plcHide m:val="on" />
<m:mcs>
<m:mc>
<m:mcPr>
<m:mcJc m:val="left" />
</m:mcPr>
</m:mc>
<m:mc>
<m:mcPr>
<m:mcJc m:val="left" />
</m:mcPr>
</m:mc>
</m:mcs>
</m:mPr>
<m:mr>
<m:e>
<m:sSub>
<m:e>
<m:r>
<m:rPr />
<m:t>γ</m:t>
</m:r>
</m:e>
<m:sub>
<m:r>
<m:rPr />
<m:t>1</m:t>
</m:r>
</m:sub>
</m:sSub>
<m:r>
<m:rPr />
<m:t>(</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>0</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>)</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>=</m:t>
</m:r>
<m:sSub>
<m:e>
<m:r>
<m:rPr />
<m:t>γ</m:t>
</m:r>
</m:e>
<m:sub>
<m:r>
<m:rPr />
<m:t>2</m:t>
</m:r>
</m:sub>
</m:sSub>
<m:r>
<m:rPr />
<m:t>(</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>0</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>)</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>=</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>p</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>,</m:t>
</m:r>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>and </m:t>
</m:r>
</m:e>
</m:mr>
<m:mr>
<m:e>
<m:sSub>
<m:e>
<m:d>
<m:dPr>
<m:begChr m:val="" />
<m:endChr m:val="∣" />
<m:grow />
</m:dPr>
<m:e>
<m:f>
<m:fPr>
<m:type m:val="bar" />
</m:fPr>
<m:num>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>d</m:t>
</m:r>
</m:num>
<m:den>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>d</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>t</m:t>
</m:r>
</m:den>
</m:f>
<m:r>
<m:rPr />
<m:t>φ</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>∘</m:t>
</m:r>
<m:sSub>
<m:e>
<m:r>
<m:rPr />
<m:t>γ</m:t>
</m:r>
</m:e>
<m:sub>
<m:r>
<m:rPr />
<m:t>1</m:t>
</m:r>
</m:sub>
</m:sSub>
<m:r>
<m:rPr />
<m:t>(</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>t</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>)</m:t>
</m:r>
</m:e>
</m:d>
</m:e>
<m:sub>
<m:r>
<m:rPr />
<m:t>t</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>=</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>0</m:t>
</m:r>
</m:sub>
</m:sSub>
<m:r>
<m:rPr />
<m:t>=</m:t>
</m:r>
<m:sSub>
<m:e>
<m:d>
<m:dPr>
<m:begChr m:val="" />
<m:endChr m:val="∣" />
<m:grow />
</m:dPr>
<m:e>
<m:f>
<m:fPr>
<m:type m:val="bar" />
</m:fPr>
<m:num>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>d</m:t>
</m:r>
</m:num>
<m:den>
<m:r>
<m:rPr>
<m:sty m:val="p" />
</m:rPr>
<m:t>d</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>t</m:t>
</m:r>
</m:den>
</m:f>
<m:r>
<m:rPr />
<m:t>φ</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>∘</m:t>
</m:r>
<m:sSub>
<m:e>
<m:r>
<m:rPr />
<m:t>γ</m:t>
</m:r>
</m:e>
<m:sub>
<m:r>
<m:rPr />
<m:t>2</m:t>
</m:r>
</m:sub>
</m:sSub>
<m:r>
<m:rPr />
<m:t>(</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>t</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>)</m:t>
</m:r>
</m:e>
</m:d>
</m:e>
<m:sub>
<m:r>
<m:rPr />
<m:t>t</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>=</m:t>
</m:r>
<m:r>
<m:rPr />
<m:t>0</m:t>
</m:r>
</m:sub>
</m:sSub>
</m:e>
</m:mr>
</m:m>
<m:r>
<m:rPr />
<m:t></m:t>
</m:r>
</m:oMath>
</m:oMathPara>