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Samrat Mukhopadhyay's user avatar
Samrat Mukhopadhyay's user avatar
Samrat Mukhopadhyay's user avatar
Samrat Mukhopadhyay
  • Member for 9 years, 4 months
  • Last seen more than a week ago
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Assistant Professor in IIT (ISM) Dhanbad in Electronics Engineering. An avid math lover and lifelong learner.

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5
Inverse of particular lower triangular matrix
Feb 6, 2018
answer
4
Inverting (via Taylor expansion) a sum of (rank-deficient) skew-symmetric matrix and (rank-deficient) Diagonal matrix
Aug 11, 2017
answer
4
minimum information distribution given moments of its square
Sep 12, 2017
question
3
Finding a tight upper bound of $\int_0^\infty e^{-x^2/2-a(1-e^{-x})}dx,\ a>0$, as a function of $a$
Feb 2, 2018
question
3
Finding a tight upper bound of $\int_0^\infty e^{-a\sqrt{1-e^{-x}}-x^2/2} dx$ as a function of $a$, $a>0$
Feb 6, 2018
question
3
Which Orlicz functions $f$ make the function $f^{-1}\left(\frac{\sum_{j=1}^s f(x_j)}{s}\right)$ convex?
Jan 20, 2019
question
3
Is there a tight lower bound for the expectation of the product of two positive valued random variables?
Apr 6, 2019
question
3
How to find the vertices of the set $\{v_i\in \mathbb{R}:a_1\ge v_1\ge v_2\ge \cdots\ge v_n\ge 0,\ q_2\le \sum_{i=1}^n p_iv_i\le q_1\}$
Apr 25, 2019
answer
3
Average of cosine similarity between $n$-vectors sampled from $d$-dim hypersphere
Jul 30, 2023
question
2
Can I use Birkhoff's Ergodic Theorem for Vector Valued Process?
Jul 23, 2015
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56
How to find the sum of the series $1+\frac{1}{2}+ \frac{1}{3}+\frac{1}{4}+\dots+\frac{1}{n}$?
19
How to compute $\prod_{n=1}^\infty\left(1+\frac{1}{n!}\right)$?
19
How to express the Frobenius norm of a matrix as the squared norm of its singular values?
17
How to show $\lim_{x \to 1} \frac{x + x^2 + \dots + x^n - n}{x - 1} = \frac{n(n + 1)}{2}$?
17
Is there an elementary proof that $\sum \limits_{k=1}^n \frac1k$ is never an integer?