JEM
Reputation
555
Next privilege 1,000 Rep.
Create new tags
 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