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Skew gradient : ウィキペディア英語版 | Skew gradient In mathematics, a skew gradient of a harmonic function over a simply connected domain with two real dimensions is a vector field that is everywhere orthogonal to the gradient of the function and that has the same magnitude as the gradient. ==Definition== The skew gradient can be defined using complex analysis and the Cauchy–Riemann equations. Let be a complex-valued analytic function, where ''u'',''v'' are real-valued scalar functions of the real variables ''x'', ''y''. A skew gradient is defined as: : and from the Cauchy–Riemann equations, it is derived that :
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Skew gradient」の詳細全文を読む
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