Recent content by adityatatu

Hi all, The Epstein Gage Lemma states that a curve evolving under some given velocity vector V (V = VnN + VtT), where Vn is the normal velocity component and Vt is the tangential velocity component, N is the normal to the curve and T is the tangent to the curve, will give the same curves if...

Hi all, I wanted to study Lie groups and their connections with differential geometry. But i don't want to get involved with lots of 'deep physics'. I am familiar with a little bit of group theory. can somebody suggest the right introductory material like tutorial papers or books for such a...

1) In R3 closure of an open ball is a closed ball, but this may not hold in general metric spaces. Can somebody give an example explaining the above statement? 2) what is a separable space? some good references are welcome. thanks for your help in advance. aditya...

hi, I am not sure whether i have correctly understood your problem. I think u will be able to solve the system of equation iteratively. consider, Ax=b where A is the constant 5 * 5 matrix, x is the variable vector(5 * 1) which you want to find out and b is again a constant...

Hello friends, does anybody have a soft copy of the following paper. if yes, then please mail it to my email address: aditya_tatu@yahoo.com aditya_tatu@da-iict.org I am not sure whether it is freely available online or not? the details of the paper are: Title : The heat equation...

HELLO ALL, I AM StUDYING DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS IN IMAGE PROCESSING. WHAT EVERYBODY DOES IS THAT TREATS THE IMAGE OR OBJECT AS A CURVE OR A SURFACE AND USES VARIOUS DIFFERENTIAL GEOMETRY OPERATORS TO GET THE DESIRED RESULT, FIRST IN THE CONTINUOS DOMAIN AND THEN FOR...

Can somebody prove the following: A Random number which (truly) is uniformly distributed on [0 1] (or in fact any continuous random variable) is irrational with probability 1.

hello, I am not too sure but maybe the following link will help... http://www.phys.utb.edu/~warren/courses/Phys5393/lecture16.pdf

Hello to all, can somebody explain all the details of a Surface Patch? I have read some material for that but it confuses me more and more... so please help me out...

Hello all, Can somebody give a 'simple to understand' proof for the 'Implicit Function Theorem' and the 'Inverse Function Theorem',their significance, applications and some examples. I have tried some books on Multivariable calculus, but in vain... :cry:

You have made a mistake because the parametrised circle is given as: c(theta)=(a*cos(theta),a*sin(theta). (u have to take a=b) so to obtain its tangent we need to differentiate c w.r.t. theta, giving t=(-a*sin(theta),a*cos(theta)). to obtain its normal we again differentiate t...

can somebody tell me how to unlink 2 linked tori using continuous deformations only? Also are there any free software tools for visualizing topological operations?

Can somebody please give me an online reference for a good proof of 'The Four Vertex Theorem'? :confused:

Texts for linear algebra hi , one of the very good texts for starting linear algebra is: LINEAR ALGEBRA AND ITS APPLICATIONS BY : GILBERT STRANG.