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All questions asked by Sourasish Karmakar

List all solved & unsolved questions asked by Sourasish Karmakar

How do I format my Table of Contents in LaTeX to this?

0   TeX - LaTeX Asked on 10/05/2021

table of contents  titlesec  titletoc  tocloft 

Show that for any $n$, $sum_{k=0}^infty frac{1}{3^k}binom{n+k log(3)/log(2)}{k}=c 2^n$ for some constant $c$

2   Mathematics Asked on 10/15/2020

combinatorics  number theory  sequences and series 

If $frac{a}{b}$ is irreducible, then the quotient of the product of any $2$ factors of $a$ and any $2$ factors of $b$ are irreducible.

3   Mathematics Asked on 10/15/2020

divisibility  elementary number theory  factoring 

cell structure of $S^2times S^2$ with $S^2times {p}$ identified to a point

1   Mathematics Asked on 10/15/2020

algebraic topology 

How does strong convexity behave under Minkowski sums?

1   Mathematics Asked on 10/14/2020

convex analysis  convex geometry 

Miscellaneous Problem Chapter I ex.22 on G.H.Hardy's book "A course of pure mathematics"

0   Mathematics Asked on 10/14/2020

algebra precalculus  rational numbers  rationality testing  real analysis 

Must a series converge after a finite number of 'césaro mean' applications if it does after infinitely many.

0   Mathematics Asked on 10/14/2020

limits  real analysis  sequences and series 

Why am I getting derivative of $y = 1/x$ function as $0$?

4   Mathematics Asked on 10/13/2020

calculus  derivatives 

How to determine the span of two vectors: $(4,2)$ and $(1, 3)$

4   Mathematics Asked on 10/13/2020

calculus  geometry  vector spaces  vectors 

Putnam 2018 - Exercise A.5 - proof check

0   Mathematics Asked on 10/11/2020

real analysis  solution verification  taylor expansion 

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