2024-08-14 20:10:21 +02:00
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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2022-12-04 08:33:31 +01:00
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<mstyle displaystyle="true" scriptlevel="0">
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<mi>𝑎</mi>
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2024-08-14 20:10:21 +02:00
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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2022-12-04 08:33:31 +01:00
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<mi>𝑏</mi>
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</mstyle>
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</math>
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2024-08-14 20:10:21 +02:00
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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2022-12-04 08:33:31 +01:00
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<mi>𝑎</mi>
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2024-08-14 20:10:21 +02:00
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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2022-12-04 08:33:31 +01:00
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<mi>𝑏</mi>
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</math>
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2024-08-14 20:10:21 +02:00
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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2022-12-04 08:33:31 +01:00
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<mi>𝑎</mi>
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2024-08-14 20:10:21 +02:00
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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2022-12-04 08:33:31 +01:00
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<mi>𝑏</mi>
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</math>
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2024-08-14 20:10:21 +02:00
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<math xmlns="http://www.w3.org/1998/Math/MathML">
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2022-12-04 08:33:31 +01:00
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<mi>𝑎</mi>
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2024-08-14 20:10:21 +02:00
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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2022-12-04 08:33:31 +01:00
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<mi>𝑏</mi>
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</math>
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2024-08-14 20:10:21 +02:00
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<math display="block" xmlns="http://www.w3.org/1998/Math/MathML">
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<mrow>
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2021-10-31 23:12:42 +01:00
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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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2024-08-14 20:10:21 +02:00
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<mo lspace="0.278em" rspace="0.278em">=</mo>
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<mrow>
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2021-10-31 23:12:42 +01:00
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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 
|
2024-08-14 20:10:21 +02:00
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<math xmlns="http://www.w3.org/1998/Math/MathML">
|
2021-10-31 23:12:42 +01:00
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<mi>𝑎</mi>
|
2024-08-14 20:10:21 +02:00
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<mo lspace="0.278em" rspace="0.278em">=</mo>
|
2021-10-31 23:12:42 +01:00
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<mi>𝑏</mi>
|
2022-12-04 08:33:31 +01:00
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</math></mtext>
|
2024-08-14 20:10:21 +02:00
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<mi />
|
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>
|
2024-08-14 20:10:21 +02:00
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<mi />
|
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>
|
2024-08-14 20:10:21 +02:00
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<math display="block" xmlns="http://www.w3.org/1998/Math/MathML">
|
2021-10-31 23:12:42 +01:00
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<mi>𝑥</mi>
|
2024-08-14 20:10:21 +02:00
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<mo lspace="0.278em" rspace="0.278em">=</mo>
|
2021-10-31 23:12:42 +01:00
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<mfrac>
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<mrow>
|
2024-08-14 20:10:21 +02:00
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<mo lspace="0" rspace="0.222em">−</mo>
|
2021-10-31 23:12:42 +01:00
|
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<mi>𝑏</mi>
|
2024-08-14 20:10:21 +02:00
|
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|
<mo lspace="0.222em" rspace="0.222em">±</mo>
|
2021-10-31 23:12:42 +01:00
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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>
|
2024-08-14 20:10:21 +02:00
|
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|
<mo lspace="0.222em" rspace="0.222em">−</mo>
|
2021-10-31 23:12:42 +01:00
|
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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>
|
2024-08-14 20:10:21 +02:00
|
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|
<mo lspace="0" rspace="0">.</mo>
|
2021-10-31 23:12:42 +01:00
|
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|
</math>
|
2024-08-14 20:10:21 +02:00
|
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|
<math display="block" xmlns="http://www.w3.org/1998/Math/MathML">
|
2021-10-31 23:12:42 +01:00
|
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|
<munder>
|
2024-08-14 20:10:21 +02:00
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<mo lspace="0" movablelimits="true" rspace="0.167em">∑</mo>
|
2021-10-31 23:12:42 +01:00
|
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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>
|
2024-08-14 20:10:21 +02:00
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|
<math display="block" xmlns="http://www.w3.org/1998/Math/MathML">
|
2021-10-31 23:12:42 +01:00
|
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|
<mtable columnalign="right left right left" columnspacing="0 .8em 0" displaystyle="true">
|
2024-10-29 06:10:05 +01:00
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<mtr>
|
|
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|
<mtd intent=":equationlabel">
|
2021-10-31 23:12:42 +01:00
|
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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>
|
|
|
|
|
<mi>𝑐</mi>
|
|
|
|
|
</mtd>
|
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|
<mtd>
|
2024-08-14 20:10:21 +02:00
|
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|
<mi />
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|
<mo lspace="0.278em" rspace="0.278em">=</mo>
|
2021-10-31 23:12:42 +01:00
|
|
|
|
<mi>𝑑</mi>
|
|
|
|
|
<mi>𝑒</mi>
|
|
|
|
|
<mi>𝑓</mi>
|
|
|
|
|
</mtd>
|
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|
|
|
<mtd>
|
|
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|
|
<msup>
|
|
|
|
|
<mi>𝑒</mi>
|
|
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|
|
<mrow>
|
2024-08-14 20:10:21 +02:00
|
|
|
|
<mi mathvariant="normal">i</mi>
|
2021-10-31 23:12:42 +01:00
|
|
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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>
|
2024-08-14 20:10:21 +02:00
|
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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>
|
2021-10-31 23:12:42 +01:00
|
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<mn>1</mn>
|
|
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|
|
</mtd>
|
2024-10-29 06:10:05 +01:00
|
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|
</mtr>
|
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<mtr>
|
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|
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|
<mtd intent=":equationlabel">
|
2021-10-31 23:12:42 +01:00
|
|
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|
<mtext>(2)</mtext>
|
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|
</mtd>
|
|
|
|
|
<mtd>
|
|
|
|
|
<mo fence="true" lspace="0" maxsize="17.861pt" minsize="17.861pt" rspace="0" symmetric="true">(</mo>
|
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|
<mn>1</mn>
|
2024-08-14 20:10:21 +02:00
|
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|
|
<mo lspace="0.222em" rspace="0.222em">+</mo>
|
2021-10-31 23:12:42 +01:00
|
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|
<mn>2</mn>
|
|
|
|
|
</mtd>
|
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|
<mtd>
|
2024-08-14 20:10:21 +02:00
|
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<mi />
|
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|
<mo lspace="0.278em" rspace="0.278em">=</mo>
|
2021-10-31 23:12:42 +01:00
|
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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>
|
2024-08-14 20:10:21 +02:00
|
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<mi />
|
2021-10-31 23:12:42 +01:00
|
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</mtd>
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<mtd>
|
2024-08-14 20:10:21 +02:00
|
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|
<mi />
|
2021-10-31 23:12:42 +01:00
|
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|
</mtd>
|
2024-10-29 06:10:05 +01:00
|
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</mtr>
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<mtr>
|
|
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|
<mtd intent=":equationlabel">
|
2021-10-31 23:12:42 +01:00
|
|
|
|
<mtext>(3)</mtext>
|
|
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|
|
</mtd>
|
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|
|
<mtd>
|
|
|
|
|
<mn>5</mn>
|
|
|
|
|
</mtd>
|
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|
<mtd>
|
2024-08-14 20:10:21 +02:00
|
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|
<mi />
|
2021-10-31 23:12:42 +01:00
|
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|
</mtd>
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<mtd>
|
2024-08-14 20:10:21 +02:00
|
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|
<mi />
|
2021-10-31 23:12:42 +01:00
|
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|
</mtd>
|
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<mtd>
|
2024-08-14 20:10:21 +02:00
|
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|
|
<mi />
|
2021-10-31 23:12:42 +01:00
|
|
|
|
</mtd>
|
2024-10-29 06:10:05 +01:00
|
|
|
|
</mtr>
|
2021-10-31 23:12:42 +01:00
|
|
|
|
</mtable>
|
|
|
|
|
</math>
|
2024-08-14 20:10:21 +02:00
|
|
|
|
<math xmlns="http://www.w3.org/1998/Math/MathML">
|
|
|
|
|
<mi mathvariant="normal">sin</mi>
|
|
|
|
|
<mo lspace="0" rspace="0" stretchy="false">(</mo>
|
2021-10-31 23:12:42 +01:00
|
|
|
|
<mi>𝑥</mi>
|
2024-08-14 20:10:21 +02:00
|
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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>
|
|
|
|
|
<mo lspace="0" rspace="0" stretchy="false">(</mo>
|
2021-10-31 23:12:42 +01:00
|
|
|
|
<mi>𝑥</mi>
|
2024-08-14 20:10:21 +02:00
|
|
|
|
<mo lspace="0.222em" rspace="0.222em">+</mo>
|
2021-10-31 23:12:42 +01:00
|
|
|
|
<mn>2</mn>
|
|
|
|
|
<mi>𝜋</mi>
|
2024-08-14 20:10:21 +02:00
|
|
|
|
<mo lspace="0" rspace="0" stretchy="false">)</mo>
|
|
|
|
|
<mo lspace="0.278em" rspace="0.278em">=</mo>
|
2021-10-31 23:12:42 +01:00
|
|
|
|
<mn>0</mn>
|
|
|
|
|
</math>
|