[微積]推倒二重及三重積分

看板Math作者stman (小強)時間12年前 (2013/11/30 16:57)推噓3(3推 0噓 1→)

留言4則, 3人參與討論串1/1

Suppose that f and g sre scalar function with continous first- and second-order partial derivatives throughout a region E that is bounded by a closed piecewise smooth surface S. Show that 2 ∫∫ f ▽g ·ndS = ∫∫∫ (f▽ g+▽f▽g)dV S E and that 2 2 ∫∫ (f▽g-g▽f) ·ndS = ∫∫∫ (f▽ g-g▽ f)dV S E -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 210.66.246.68

推

ckbtlin318

11/30 17:35, , 1^F

11/30 17:35, 1^F

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G41271

11/30 20:17, , 2^F

11/30 20:17, 2^F

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Frobenius

11/30 23:05, , 3^F

11/30 23:05, 3^F