ag-gipp/GoUldI

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data/mathematical/198.mml

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<math xmlns='http://www.w3.org/1998/Math/MathML' display='inline'><semantics><mrow><mrow><mo>(</mo><mrow><mtable displaystyle="false" rowspacing="0.5ex" rowlines="none"><mtr><mtd><msub><mi>j</mi> <mn>1</mn></msub></mtd> <mtd><msub><mi>j</mi> <mn>2</mn></msub></mtd> <mtd><msub><mi>j</mi> <mn>3</mn></msub></mtd></mtr> <mtr><mtd><msub><mi>m</mi> <mn>1</mn></msub></mtd> <mtd><msub><mi>m</mi> <mn>2</mn></msub></mtd> <mtd><msub><mi>m</mi> <mn>3</mn></msub></mtd></mtr></mtable></mrow><mo>)</mo></mrow><mo>=</mo><mo stretchy="false">(</mo><mo lspace="verythinmathspace" rspace="0em">−</mo><mn>1</mn><msup><mo stretchy="false">)</mo> <mrow><msub><mi>j</mi> <mn>1</mn></msub><mo>+</mo><msub><mi>j</mi> <mn>2</mn></msub><mo>+</mo><msub><mi>j</mi> <mn>3</mn></msub></mrow></msup><mrow><mo>(</mo><mrow><mtable displaystyle="false" rowspacing="0.5ex" rowlines="none"><mtr><mtd><msub><mi>j</mi> <mn>1</mn></msub></mtd> <mtd><msub><mi>j</mi> <mn>2</mn></msub></mtd> <mtd><msub><mi>j</mi> <mn>3</mn></msub></mtd></mtr> <mtr><mtd><mo lspace="verythinmathspace" rspace="0em">−</mo><msub><mi>m</mi> <mn>1</mn></msub></mtd> <mtd><mo lspace="verythinmathspace" rspace="0em">−</mo><msub><mi>m</mi> <mn>2</mn></msub></mtd> <mtd><mo lspace="verythinmathspace" rspace="0em">−</mo><msub><mi>m</mi> <mn>3</mn></msub></mtd></mtr></mtable></mrow><mo>)</mo></mrow></mrow><annotation encoding='application/x-tex'>\begin{pmatrix}j_{1}&j_{2}&j_{3}\\
m_{1}&m_{2}&m_{3}\end{pmatrix}=(-1)^{j_{1}+j_{2}+j_{3}}\begin{pmatrix}j_{1}&j_{2}&j_{3}\\
-m_{1}&-m_{2}&-m_{3}\end{pmatrix}</annotation></semantics></math>