[數撚圍爐區] 大家一齊同Rudin玩遊戲 (2)

1001 回覆
16 Like 1 Dislike
2018-09-25 13:38:03
2018-09-25 13:58:15
2018-09-26 18:01:54
有啲linear algebra 野唔識計，各位巴打可唔可以幫幫手

我有個咁樣嘅matrix

我要點樣搵個determinant of h_ij 單係個christoffel symbol就唔識搞
2018-09-26 19:14:20
2018-09-26 19:49:44
唔知點晒成條題目出黎會唔會比人屌

我而家要搵個determinant of h_ij tilde in terms of g_ij , f , 同f嘅derivatives
跟住我爆到個h_ij tilde 就大概係上面個舊野 , g_ij 都要加番個tilde
會唔會係我個h_ij tilde本身已經爆錯咗
2018-09-26 21:37:45
2018-09-26 23:20:08
2018-09-26 23:21:18
2018-09-26 23:44:53
2018-09-27 01:05:25

不過我想問一下點解



佢hypersurface個gauss map 我覺得應該唔係用
F 好似都唔orthogonal to each partial_i(fF)
2018-09-27 01:17:51
依題係佢教euclidean hypersurface 時比嘅功課，所以assume 咗個hypersurface embedded in Euclidean space

btw 其實點解佢咁中意講FF 上過佢幾個course佢好似都有用過依個term
2018-09-27 01:45:39
2018-09-27 01:52:18
2018-09-27 01:58:48
2018-09-27 02:06:50
2018-09-27 02:17:18
2018-09-27 02:58:38
我搵到舊野就係你呢舊
之後就 揾個second fundamental form
我靜係諗到將
爆開佢就會有個christoffel symbol喺度
到底要點take舊野嘅determinant
2018-09-27 03:39:11
2018-09-27 03:46:00
2018-09-27 04:01:54
2018-09-27 04:02:50 
[member]calculus III#:)#dog [/member]
2018-09-27 07:26:26
2018-09-27 07:29:41
2018-09-27 08:17:12
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