Prepare for first upload
This commit is contained in:
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1a19e3947a
commit
bae4f782bb
15 changed files with 986 additions and 994 deletions
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<math xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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<mi tex:family="1">𝑎</mi>
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</mo>
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<mi tex:family="1">𝑏</mi>
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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<mi>𝑎</mi>
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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<mi>𝑏</mi>
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</math>
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<math display="block" xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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<mrow tex:class="inner">
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<math display="block" xmlns="http://www.w3.org/1998/Math/MathML">
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<mrow>
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<mo fence="true" lspace="0" rspace="0" symmetric="true">(</mo>
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<mspace width="-4.981pt" />
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<mpadded lspace="+4.981pt" width="+9.963pt">
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@ -47,9 +47,9 @@
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<mspace width="-4.981pt" />
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<mo fence="true" lspace="0" rspace="0" symmetric="true">)</mo>
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</mrow>
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</mo>
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<mrow tex:class="inner">
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<mo fence="true" lspace="0" rspace="0" symmetric="true" tex:family="2">{</mo>
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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<mrow>
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<mo fence="true" lspace="0" rspace="0" symmetric="true">{</mo>
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<mpadded lspace="+4.981pt" width="+9.963pt">
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<mtable>
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<mtr>
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@ -58,10 +58,10 @@
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</mtd>
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<mtd columnalign="left">
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<mtext>if 
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<math xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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<mi tex:family="1">𝑎</mi>
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</mo>
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<mi tex:family="1">𝑏</mi>
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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<mi>𝑎</mi>
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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<mi>𝑏</mi>
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</math></mtext>
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</mtd>
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</mtr>
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@ -78,76 +78,68 @@
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<mspace width="1.196pt" />
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</mrow>
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</math>
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<math display="block" xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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<mi tex:family="1">𝑥</mi>
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</mo>
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<math display="block" xmlns="http://www.w3.org/1998/Math/MathML">
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<mi>𝑥</mi>
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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<mfrac>
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<mrow>
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<mo lspace="0" rspace="0.222em" tex:class="bin" tex:family="2">−</mo>
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<mi tex:family="1">𝑏</mi>
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<mo lspace="0.222em" rspace="0.222em" tex:class="bin" tex:family="2">±</mo>
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<mo lspace="0" rspace="0.222em">−</mo>
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<mi>𝑏</mi>
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<mo lspace="0.222em" rspace="0.222em">±</mo>
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<msqrt>
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<mrow>
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<msup>
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<mi tex:family="1">𝑏</mi>
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<mi>𝑏</mi>
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<mn>2</mn>
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</msup>
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<mo lspace="0.222em" rspace="0.222em" tex:class="bin" tex:family="2">−</mo>
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<mo lspace="0.222em" rspace="0.222em">−</mo>
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<mn>4</mn>
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<mi tex:family="1">𝑎</mi>
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<mi tex:family="1">𝑐</mi>
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<mi>𝑎</mi>
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<mi>𝑐</mi>
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</mrow>
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</msqrt>
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</mrow>
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<mrow>
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<mn>2</mn>
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<mi tex:family="1">𝑎</mi>
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<mi>𝑎</mi>
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</mrow>
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</mfrac>
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<mo lspace="0" rspace="0" tex:class="ord" tex:family="1">.</mo>
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<mo lspace="0" rspace="0">.</mo>
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</math>
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<math xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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<mi tex:family="1">𝑏</mi>
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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<mi>𝑏</mi>
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</math>
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<math display="block" xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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<math display="block" xmlns="http://www.w3.org/1998/Math/MathML">
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<munder>
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<mo lspace="0" movablelimits="true" rspace="0.167em" tex:class="opdisplaylimits" tex:family="3">∑</mo>
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<mi tex:family="1">𝑎</mi>
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<mo lspace="0" movablelimits="true" rspace="0.167em">∑</mo>
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<mi>𝑎</mi>
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</munder>
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<munder>
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<mi tex:family="1">𝑐</mi>
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<mi>𝑐</mi>
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<mo>_</mo>
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</munder>
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<mover>
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<mi tex:family="1">𝑏</mi>
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<mi>𝑏</mi>
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<mo stretchy="false">_</mo>
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</mover>
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<msup>
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<mi tex:family="1">𝑐</mi>
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<mi mathvariant="normal" tex:family="2">′</mi>
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<mi>𝑐</mi>
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<mi mathvariant="normal">′</mi>
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</msup>
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</math>
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<math xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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<mrow tex:class="opnolimits">
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<mi mathvariant="normal">s</mi>
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<mi mathvariant="normal">i</mi>
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<mi mathvariant="normal">n</mi>
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</mrow>
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<mo lspace="0" rspace="0" stretchy="false" tex:class="open">(</mo>
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<mi tex:family="1">𝑥</mi>
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<mo lspace="0" rspace="0" stretchy="false" tex:class="close">)</mo>
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<mo lspace="0.222em" rspace="0.222em" tex:class="bin" tex:family="2">−</mo>
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<mrow tex:class="opnolimits">
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<mi mathvariant="normal">s</mi>
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<mi mathvariant="normal">i</mi>
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<mi mathvariant="normal">n</mi>
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</mrow>
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<mo lspace="0" rspace="0" stretchy="false" tex:class="open">(</mo>
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<mi tex:family="1">𝑥</mi>
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<mo lspace="0.222em" rspace="0.222em" tex:class="bin">+</mo>
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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<mi mathvariant="normal">sin</mi>
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<mo lspace="0" rspace="0" stretchy="false">(</mo>
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<mi>𝑥</mi>
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<mo lspace="0" rspace="0" stretchy="false">)</mo>
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<mo lspace="0.222em" rspace="0.222em">−</mo>
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<mi mathvariant="normal">sin</mi>
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<mo lspace="0" rspace="0" stretchy="false">(</mo>
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<mi>𝑥</mi>
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<mo lspace="0.222em" rspace="0.222em">+</mo>
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<mn>2</mn>
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<mi tex:family="1">𝜋</mi>
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<mo lspace="0" rspace="0" stretchy="false" tex:class="close">)</mo>
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</mo>
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<mi>𝜋</mi>
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<mo lspace="0" rspace="0" stretchy="false">)</mo>
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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<mn>0</mn>
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</math>
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<math xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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<mstyle displaystyle="true" scriptlevel="0">
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<mi>𝑎</mi>
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</mo>
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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<mi>𝑏</mi>
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</mstyle>
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</math>
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<math xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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<mi>𝑎</mi>
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</mo>
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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<mi>𝑏</mi>
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</math>
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<math xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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<mi>𝑎</mi>
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</mo>
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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<mi>𝑏</mi>
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</math>
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<math xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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<mi>𝑎</mi>
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</mo>
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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<mi>𝑏</mi>
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</math>
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<math display="block" xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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<mrow tex:class="inner">
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<math display="block" xmlns="http://www.w3.org/1998/Math/MathML">
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<mrow>
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<mo fence="true" lspace="0" rspace="0" symmetric="true">(</mo>
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<mspace width="-4.981pt" />
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<mpadded lspace="+4.981pt" width="+9.963pt">
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<mspace width="-4.981pt" />
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<mo fence="true" lspace="0" rspace="0" symmetric="true">)</mo>
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</mrow>
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</mo>
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<mrow tex:class="inner">
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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<mrow>
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<mo fence="true" lspace="0" rspace="0" symmetric="true">{</mo>
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<mpadded lspace="+4.981pt" width="+9.963pt">
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<mtable>
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</mtd>
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<mtd columnalign="left">
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<mtext>if 
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<math xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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<mi>𝑎</mi>
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</mo>
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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<mi>𝑏</mi>
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</math></mtext>
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<mi intent="@ignore" />
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<mi />
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</mtd>
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</mtr>
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<mtr>
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</mtd>
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<mtd columnalign="left">
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<mtext>else</mtext>
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<mi intent="@ignore" />
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<mi />
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</mtd>
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<mspace width="1.196pt" />
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</mrow>
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</math>
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<math display="block" xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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<math display="block" xmlns="http://www.w3.org/1998/Math/MathML">
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<mi>𝑥</mi>
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</mo>
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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<mfrac>
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<mrow>
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<mo lspace="0" rspace="0.222em" tex:class="bin">−</mo>
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<mo lspace="0" rspace="0.222em">−</mo>
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<mi>𝑏</mi>
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<mo lspace="0.222em" rspace="0.222em" tex:class="bin">±</mo>
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<mo lspace="0.222em" rspace="0.222em">±</mo>
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<msqrt>
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<mrow>
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<msup>
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<mi>𝑏</mi>
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<mn>2</mn>
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</msup>
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<mo lspace="0.222em" rspace="0.222em" tex:class="bin">−</mo>
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<mo lspace="0.222em" rspace="0.222em">−</mo>
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<mn>4</mn>
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<mi>𝑎</mi>
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<mi>𝑐</mi>
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<mi>𝑎</mi>
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</mrow>
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</mfrac>
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<mo lspace="0" rspace="0" tex:class="ord">.</mo>
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<mo lspace="0" rspace="0">.</mo>
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</math>
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<math display="block" xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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<math display="block" xmlns="http://www.w3.org/1998/Math/MathML">
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<munder>
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<mo lspace="0" movablelimits="true" rspace="0.167em" tex:class="opdisplaylimits">∑</mo>
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<mo lspace="0" movablelimits="true" rspace="0.167em">∑</mo>
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<mi>𝑎</mi>
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</munder>
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<munder>
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<mi mathvariant="normal">′</mi>
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</msup>
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</math>
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<math display="block" xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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<math display="block" xmlns="http://www.w3.org/1998/Math/MathML">
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<mtable columnalign="right left right left" columnspacing="0 .8em 0" displaystyle="true">
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<mlabeledtr>
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<mi>𝑐</mi>
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</mtd>
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<mtd>
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<mi intent="@ignore" />
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</mo>
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<mi />
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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<mi>𝑑</mi>
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<mi>𝑒</mi>
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<mi>𝑓</mi>
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<msup>
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<mi>𝑒</mi>
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<mrow>
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<mi mathvariant="normal" tex:family="4">i</mi>
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<mi mathvariant="normal">i</mi>
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<mi>𝜋</mi>
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</mrow>
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</msup>
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</mtd>
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<mtd>
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<mi intent="@ignore" />
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<mo lspace="0.278em" rspace="0" tex:class="rel">=</mo>
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<mo lspace="0.278em" rspace="0" tex:class="ord">−</mo>
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<mi />
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<mo lspace="0.278em" rspace="0">=</mo>
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<mo lspace="0.278em" rspace="0">−</mo>
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<mn>1</mn>
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</mtd>
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</mlabeledtr>
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<mtd>
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<mo fence="true" lspace="0" maxsize="17.861pt" minsize="17.861pt" rspace="0" symmetric="true">(</mo>
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<mn>1</mn>
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<mo lspace="0.222em" rspace="0.222em" tex:class="bin">+</mo>
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<mo lspace="0.222em" rspace="0.222em">+</mo>
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<mn>2</mn>
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</mtd>
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<mtd>
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<mi intent="@ignore" />
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</mo>
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<mi />
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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<mn>3</mn>
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<mo fence="true" lspace="0" maxsize="17.861pt" minsize="17.861pt" rspace="0" symmetric="true">)</mo>
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</mtd>
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<mtd>
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<mi intent="@ignore" />
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<mi />
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<mtd>
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<mi intent="@ignore" />
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<mi />
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</mtd>
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</mlabeledtr>
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<mlabeledtr>
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<mn>5</mn>
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</mtd>
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<mtd>
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<mi intent="@ignore" />
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<mi />
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</mtd>
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<mtd>
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<mi intent="@ignore" />
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<mi />
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</mtd>
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<mtd>
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<mi intent="@ignore" />
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<mi />
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</mtd>
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</mlabeledtr>
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</mtable>
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</math>
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<math xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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<mrow tex:class="opnolimits">
|
||||
<mi mathvariant="normal" tex:family="4">s</mi>
|
||||
<mi mathvariant="normal" tex:family="4">i</mi>
|
||||
<mi mathvariant="normal" tex:family="4">n</mi>
|
||||
</mrow>
|
||||
<mo lspace="0" rspace="0" stretchy="false" tex:class="open">(</mo>
|
||||
<math xmlns="http://www.w3.org/1998/Math/MathML">
|
||||
<mi mathvariant="normal">sin</mi>
|
||||
<mo lspace="0" rspace="0" stretchy="false">(</mo>
|
||||
<mi>𝑥</mi>
|
||||
<mo lspace="0" rspace="0" stretchy="false" tex:class="close">)</mo>
|
||||
<mo lspace="0.222em" rspace="0.222em" tex:class="bin">−</mo>
|
||||
<mrow tex:class="opnolimits">
|
||||
<mi mathvariant="normal" tex:family="4">s</mi>
|
||||
<mi mathvariant="normal" tex:family="4">i</mi>
|
||||
<mi mathvariant="normal" tex:family="4">n</mi>
|
||||
</mrow>
|
||||
<mo lspace="0" rspace="0" stretchy="false" tex:class="open">(</mo>
|
||||
<mo lspace="0" rspace="0" stretchy="false">)</mo>
|
||||
<mo lspace="0.222em" rspace="0.222em">−</mo>
|
||||
<mi mathvariant="normal">sin</mi>
|
||||
<mo lspace="0" rspace="0" stretchy="false">(</mo>
|
||||
<mi>𝑥</mi>
|
||||
<mo lspace="0.222em" rspace="0.222em" tex:class="bin">+</mo>
|
||||
<mo lspace="0.222em" rspace="0.222em">+</mo>
|
||||
<mn>2</mn>
|
||||
<mi>𝜋</mi>
|
||||
<mo lspace="0" rspace="0" stretchy="false" tex:class="close">)</mo>
|
||||
<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</mo>
|
||||
<mo lspace="0" rspace="0" stretchy="false">)</mo>
|
||||
<mo lspace="0.278em" rspace="0.278em">=</mo>
|
||||
<mn>0</mn>
|
||||
</math>
|
||||
|
|
Loading…
Add table
Add a link
Reference in a new issue