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Mathematics
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Kavi Rama Murthy

"Once a student, always a student'.

"The only way to learn Mathematics is to DO Mathematics" - P.R. Halmos

"You cannot teach a man anything; you can only help him discover it within himself" - ???

"Spoon feeding is for babies, not for college students" - Kavi Rama Murthy

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Top Posts (3,859) All Questions Answers | Votes Newest

46 Contradiction with Banach Fixed Point Theorem Mar 4
45 If $A$ and $B$ are matrices such that $AB^2=BA$ and $A^4=I$ then find $B^{16}$. Jun 22 '17
32 A continuous bijection between two complete metric spaces that is not a homeomorphism. Sep 11 '18
28 Does convergence of polynomials imply that of its coefficients? Mar 18
25 By means of an example, show that $P(A) + P(B) = 1$ does not mean that $B$ is the complement of $A$ Mar 24
15 If $\sum a_n$ converges and every $a_n$ is positive then $\sum a_n^{(n-1)/n}$ converges? Jul 31 '18
15 Proof for Cauchy-Schwarz inequality for Trace Nov 20 '18
15 Compactness of a metric space Sep 21 '18
14 Prob. 4, Sec. 27, in Munkres' TOPOLOGY, 2nd ed: Any connected metric space having more than one point is uncountable Oct 3 '18
13 Any collection of neighborhoods of a dense set cover the space? May 19 '18
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