ag-gipp/GoUldI

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data/mathematical/147.mml

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<math xmlns='http://www.w3.org/1998/Math/MathML' display='inline'><semantics><mrow><mi>Π</mi><mrow><mo>(</mo><msup><mi>α</mi> <mn>2</mn></msup><mo>,</mo><mi>k</mi><mo>)</mo></mrow><mo>−</mo><mi>K</mi><mrow><mo>(</mo><mi>k</mi><mo>)</mo></mrow><mo>=</mo><mstyle displaystyle="false"><mfrac><mn>1</mn><mn>3</mn></mfrac></mstyle><msup><mi>α</mi> <mn>2</mn></msup><msub><mi>R</mi> <mi>J</mi></msub><mrow><mo>(</mo><mn>0</mn><mo>,</mo><msup><mrow><msup><mi>k</mi> <mstyle scriptlevel="0"><mo>′</mo></mstyle></msup></mrow> <mn>2</mn></msup><mo>,</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>−</mo><msup><mi>α</mi> <mn>2</mn></msup><mo>)</mo></mrow></mrow><annotation encoding='application/x-tex'>\Pi\left(\alpha^{2},k\right)-K\left(k\right)=\tfrac{1}{3}\alpha^{2}R_{J}\left(0,{k^{\prime}}^{2},1,1-\alpha^{2}\right)</annotation></semantics></math>