ag-gipp/GoUldI

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data/mathematical/144.mml

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<math xmlns='http://www.w3.org/1998/Math/MathML' display='inline'><semantics><mrow><msub><mo>∂</mo> <mi>j</mi></msub><msub><mi>R</mi> <mrow><mo lspace="verythinmathspace" rspace="0em">−</mo><mi>a</mi></mrow></msub><mrow><mo>(</mo><mstyle mathvariant="bold"><mi mathvariant="bold">b</mi></mstyle><mo>;</mo><mstyle mathvariant="bold"><mi mathvariant="bold">z</mi></mstyle><mo>)</mo></mrow><mo>=</mo><mo>−</mo><mi>a</mi><msub><mi>w</mi> <mi>j</mi></msub><msub><mi>R</mi> <mrow><mo lspace="verythinmathspace" rspace="0em">−</mo><mi>a</mi><mo>−</mo><mn>1</mn></mrow></msub><mrow><mo>(</mo><mstyle mathvariant="bold"><mi mathvariant="bold">b</mi></mstyle><mo>+</mo><msub><mstyle mathvariant="bold"><mi mathvariant="bold">e</mi></mstyle> <mi>j</mi></msub><mo>;</mo><mstyle mathvariant="bold"><mi mathvariant="bold">z</mi></mstyle><mo>)</mo></mrow></mrow><annotation encoding='application/x-tex'>\partial_{j}R_{-a}\left(\mathbf{b};\mathbf{z}\right)=-aw_{j}R_{-a-1}\left(\mathbf{b}+\mathbf{e}_{j};\mathbf{z}\right)</annotation></semantics></math>