Recent content by adityatatu

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    Graduate Proof of Epstein Gage Lemma: Aditya Tatu

    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...
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    Graduate How to Start Learning Lie Groups with Minimal Physics Background?

    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...
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    Graduate Closure of an open ball and separable space?

    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...
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    Undergrad Solving a System of Equations with Matrix

    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...
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    Looking for The Heat Equation Shrinking Convex Plane Curves by M.A. Grayson?

    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...
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    Graduate Differential Geometry And Difference Geometry?

    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...
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    Graduate Is a Random Number Generator Truly Uniformly Distributed?

    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.
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    Graduate Understanding Intrinsic and Extrinsic Curvature: An Intuitive Explanation

    hello, I am not too sure but maybe the following link will help... http://www.phys.utb.edu/~warren/courses/Phys5393/lecture16.pdf
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    Undergrad What are the uses and properties of a Surface Patch?

    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...
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    Graduate Inverse and Implicit Function theorems

    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:
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    Undergrad Tangent/normal/area for this Circle

    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...
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    Graduate Unlink Tori with Continuous Deformations: Topology & Free Software

    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?
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    Graduate Where Can I Find a Proof for the Four Vertex Theorem?

    Can somebody please give me an online reference for a good proof of 'The Four Vertex Theorem'? :confused:
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    High School Where Can I Find a Free Ebook of Gilbert Strang's Linear Algebra?

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