2022-12-04 08:33:31 +01:00
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<math xmlns:tex="http://typesetting.eu/2021/LuaMathML" 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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<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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<mi>𝑎</mi>
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</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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<mi>𝑎</mi>
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</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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<mi>𝑎</mi>
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</mo>
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<mi>𝑏</mi>
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</math>
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2021-10-31 23:12:42 +01:00
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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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<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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<mtable>
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<mtr>
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<mtd>
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<mn>1</mn>
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</mtd>
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<mtd>
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<mn>0</mn>
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</mtd>
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<mtd>
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<mn>0</mn>
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</mtd>
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</mtr>
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<mtr>
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<mtd>
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<mn>0</mn>
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</mtd>
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<mtd>
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<mn>1</mn>
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</mtd>
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<mtd>
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<mn>0</mn>
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</mtd>
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</mtr>
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<mtr>
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<mtd>
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<mn>0</mn>
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</mtd>
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<mtd>
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<mn>0</mn>
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</mtd>
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<mtd>
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<mn>1</mn>
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</mtd>
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</mtr>
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</mtable>
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</mpadded>
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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">{</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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<mtd columnalign="left">
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<mn>1</mn>
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</mtd>
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<mtd columnalign="left">
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<mtext>if 
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2022-12-04 08:33:31 +01:00
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<math xmlns:tex="http://typesetting.eu/2021/LuaMathML" xmlns="http://www.w3.org/1998/Math/MathML">
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2021-10-31 23:12:42 +01:00
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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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<mi>𝑏</mi>
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2022-12-04 08:33:31 +01:00
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</math></mtext>
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<mi intent="@ignore" />
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2021-10-31 23:12:42 +01:00
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</mtd>
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</mtr>
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<mtr>
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<mtd columnalign="left">
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<mn>2</mn>
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</mtd>
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<mtd columnalign="left">
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<mtext>else</mtext>
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2022-12-04 08:33:31 +01:00
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<mi intent="@ignore" />
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2021-10-31 23:12:42 +01:00
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</mtd>
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</mtr>
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</mtable>
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</mpadded>
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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>𝑥</mi>
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<mo lspace="0.278em" rspace="0.278em" tex:class="rel">=</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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<mi>𝑏</mi>
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<mo lspace="0.222em" rspace="0.222em" tex:class="bin">±</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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<mn>4</mn>
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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>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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</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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<munder>
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<mo lspace="0" movablelimits="true" rspace="0.167em" tex:class="opdisplaylimits">∑</mo>
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<mi>𝑎</mi>
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</munder>
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<munder>
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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>𝑏</mi>
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<mo stretchy="true">.</mo>
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</mover>
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<msup>
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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 display="block" xmlns:tex="http://typesetting.eu/2021/LuaMathML" 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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<mtd>
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<mtext>(1)</mtext>
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</mtd>
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<mtd>
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<mi>𝑎</mi>
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<mi>𝑏</mi>
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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>𝑑</mi>
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<mi>𝑒</mi>
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<mi>𝑓</mi>
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</mtd>
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<mtd>
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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>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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<mn>1</mn>
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</mtd>
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</mlabeledtr>
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<mlabeledtr>
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<mtd>
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<mtext>(2)</mtext>
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</mtd>
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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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<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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<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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</mtd>
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<mtd>
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<mi intent="@ignore" />
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</mtd>
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</mlabeledtr>
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<mlabeledtr>
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<mtd>
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<mtext>(3)</mtext>
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</mtd>
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<mtd>
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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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</mtd>
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<mtd>
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<mi intent="@ignore" />
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</mtd>
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<mtd>
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<mi intent="@ignore" />
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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">
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<mi mathvariant="normal" tex:family="4">s</mi>
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<mi mathvariant="normal" tex:family="4">i</mi>
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<mi mathvariant="normal" tex:family="4">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>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">−</mo>
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<mrow tex:class="opnolimits">
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<mi mathvariant="normal" tex:family="4">s</mi>
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<mi mathvariant="normal" tex:family="4">i</mi>
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<mi mathvariant="normal" tex:family="4">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>𝑥</mi>
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<mo lspace="0.222em" rspace="0.222em" tex:class="bin">+</mo>
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<mn>2</mn>
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<mi>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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<mn>0</mn>
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</math>
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