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2d
comment When is the limit of an infinite product equal to the infinite product of the limit?
Sorry for the confusion, the limit is edited. Since the limit depends on $n$ I don't think we can change the order of operations.
2d
revised When is the limit of an infinite product equal to the infinite product of the limit?
deleted 15 characters in body
2d
revised When is the limit of an infinite product equal to the infinite product of the limit?
added 174 characters in body
2d
revised When is the limit of an infinite product equal to the infinite product of the limit?
added 259 characters in body
2d
asked When is the limit of an infinite product equal to the infinite product of the limit?
Dec
15
awarded  Caucus
Oct
31
awarded  Yearling
Oct
9
comment Principle Lines of curvature
Maybe working out a solution to the system of ODEs will work. Ill try that.
Oct
8
comment Principle Lines of curvature
Prof Shifrin, Im actually using your book to learn this and was working out problem 2.2.1 and consulted Do Carmo for help. The converse statement that $F=f=0$ implies lines of curature I have worked out ok. The forward statement that $M$ has no umbilics and $\alpha$ is a line of curvature implies $F=f=0$ is not coming so easy. Do Carmo's argument for it is above but Im wondering how the determinant seals the deal?
Oct
8
revised Principle Lines of curvature
added 1440 characters in body
Oct
8
asked Principle Lines of curvature
Oct
2
comment $X$ is Hausdorff if and only if the diagonal of $X\times X$ is closed
If $\left(U\times V\right)\cap\Delta=\phi$ can we immediately conclude that $U\cap V=\phi$?
Aug
28
comment Inverse Trigonometric functions - Boyce & Diprima 2.2.19
I will read about this again. thx David
Aug
28
accepted Inverse Trigonometric functions - Boyce & Diprima 2.2.19
Aug
28
comment Inverse Trigonometric functions - Boyce & Diprima 2.2.19
The second line is a general result for $arcsin(~)$? even and odd separation like this?
Aug
28
revised Inverse Trigonometric functions - Boyce & Diprima 2.2.19
added 130 characters in body
Aug
28
comment Inverse Trigonometric functions - Boyce & Diprima 2.2.19
this is equivalent to mine. the question is not about this though.
Aug
28
comment Inverse Trigonometric functions - Boyce & Diprima 2.2.19
I wrote down the original prob. with cos and sin switched. It is correct now. thx
Aug
28
revised Inverse Trigonometric functions - Boyce & Diprima 2.2.19
edited body
Aug
28
asked Inverse Trigonometric functions - Boyce & Diprima 2.2.19