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2024-11-17

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Mathematical expression: (2n1)-(2^{n-1}) ~ 2n112^{n-1} -1

rωr(yωω)=(yωω){(logy)r+i=1r(1)Ir(ri+1)(logy)riωi}\frac {\partial^r} {\partial \omega^r} \left(\frac {y^{\omega}} {\omega}\right) = \left(\frac {y^{\omega}} {\omega}\right) \left\{(\log y)^r + \sum_{i=1}^r \frac {(-1)^ Ir \cdots (r-i+1) (\log y)^{ri}} {\omega^i} \right\}

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