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Samrat Mukhopadhyay's user avatar
Samrat Mukhopadhyay's user avatar
Samrat Mukhopadhyay's user avatar
Samrat Mukhopadhyay
  • Member for 10 years, 11 months
  • Last seen this week
17 votes
2 answers
3k views

Are eigenvalues of the limit of a sequence of matrices limits of eigenvalue sequences?

11 votes
2 answers
3k views

Nested Radical of Ramanujan

10 votes
1 answer
292 views

Prime Mean of Primes

9 votes
2 answers
274 views

Evaluating $\int_0^L\int_0^L \cos^{-1}\left(\frac{x^2+y^2-a^2}{2xy}\right)xy~dx~dy$

9 votes
1 answer
580 views

An inequality concerning restricted isometry property

7 votes
1 answer
261 views

Number of $m$-tuples of $k$-subsets of $\{1,2,\cdots,\ n\}$ with overlaps

6 votes
2 answers
176 views

Does $\lim_{n\to \infty}\sigma_n=0\implies \lim_{n\to \infty} a_n=0$?

4 votes
2 answers
1k views

Can we say that $\prod_{i=1}^n (1-x_i)\ge 1-\sum_{i=1}^n x_i,\ \forall n\in \mathbb{N},\ \forall x_i\in [0,1)$?

4 votes
2 answers
581 views

Prime factorization of $10^n+1$

4 votes
0 answers
229 views

A Fibonacci like Stochastic process

4 votes
1 answer
105 views

Primes in binary

3 votes
1 answer
305 views

Solution to $u_{n+1}=u_n/n+u_{n-1}/(n-1)$

3 votes
1 answer
89 views

root of an equation

3 votes
1 answer
130 views

A Generalized Fibonacci sequence

3 votes
0 answers
393 views

fixed point iteration $x_{k+1}=f(x_k)$ with multiple fixed points

3 votes
1 answer
931 views

Maximizing a Concave function over a Non convex constraint set

3 votes
0 answers
186 views

Is there a closed form expression for this sum involving Stirling number of second kind

3 votes
3 answers
584 views

Is there a closed form expression for the following sum?

3 votes
1 answer
79 views

Does $\lim_{n\to \infty}\left(\prod_{k=1}^n a_k\right)^{1/n}<1\implies \lim_{n\to \infty}\left(\prod_{k=1}^n\max\{ 1,a_k\}\right)^{1/n}=1 $

3 votes
0 answers
85 views

Does concentration of measure inequality for a random matrix is enough to determine bounds on extremal singular value tail probabilities?

3 votes
1 answer
358 views

Notion of fixed point for the sequence $x_{n+1}=f_n(x_n)$

3 votes
0 answers
48 views

Can we find real values of $x$ such that $\lim\limits_{n\to \infty}c^n\prod\limits_{k= 1}^n| a_k x-1|=0$?

3 votes
1 answer
266 views

Closed form expression for a formal power series

3 votes
0 answers
88 views

Is there a closed form expression for $\int_0^{2\pi}Q(a+\cos x)dx?$

3 votes
0 answers
88 views

Can someone verify why the following alternate derivation regarding a non-central chi distribution giving different answer?

3 votes
0 answers
47 views

The tightest upper bound on $-\left\langle B(y-x),\nabla f(A x)\right\rangle$

2 votes
0 answers
73 views

Is there a vector $y$ such that $\|P_Sy\|$ is constant for all sets $S$ of size $K$?

2 votes
1 answer
53 views

A confusion about big Oh notation

2 votes
2 answers
227 views

Convergence of the series $\sum\limits_{n}e^{-a_n}$

2 votes
1 answer
134 views

Is there a way to find $\limsup$ and $\liminf$ for ergodic processes almost surely?