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Varun Vejalla
United States
wassup, i'm a math/cs major at UVA
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Top Questions
23
votes
Real number $x$ such that $\{ x^n\}$ is constant for all $n\in S$
real-analysis
fractional-part
asked Jul 17 at 4:40
math.stackexchange.com
11
votes
Finding $f$ such that $f(f(f(f...(x)))) = x$
real-analysis
functional-equations
asked Jul 27, 2019 at 19:45
math.stackexchange.com
9
votes
Evaluating $\int_{0}^1 \ln \left\lfloor \frac{1}{x} \right\rfloor dx$
integration
sequences-and-series
definite-integrals
floor-function
asked Nov 28, 2019 at 6:17
math.stackexchange.com
8
votes
Minimum and maximum sum of squares given constraints
multivariable-calculus
optimization
maxima-minima
cauchy-schwarz-inequality
karamata-inequality
asked Aug 30, 2019 at 3:40
math.stackexchange.com
8
votes
Probability of different winners in a two candidate election (range voting vs majority)
probability
integration
summation
voting-theory
asked Jun 15, 2020 at 23:17
math.stackexchange.com
7
votes
Measure of complexity of a function
integration
approximation-theory
asked May 12, 2020 at 2:56
math.stackexchange.com
6
votes
Finding $\int_0^1\int_0^1\ldots\int_0^1\frac{1}{1-\prod_{i=1}^{n}\ln(x_i)}\,dx_1dx_2\ldots dx_n$
integration
definite-integrals
logarithms
multiple-integral
asked Aug 7, 2019 at 4:17
math.stackexchange.com
5
votes
Converting an equation based on square roots
algebra-precalculus
polynomials
roots
radicals
asked May 6, 2019 at 23:24
math.stackexchange.com
5
votes
Finding $\sum_{k=1}^\infty\frac{(-1)^{k-1}}{k^n 2^k {2k \choose k}}$
integration
sequences-and-series
definite-integrals
binomial-coefficients
closed-form
asked Jul 29, 2019 at 17:22
math.stackexchange.com
5
votes
Closed form of $\sum_{k=0}^{\infty} \sum_{m=0}^{\infty} r^m \cdot t^k \binom{m+k}{k} \binom{m+k+1}{k}$ for fixed $r, t$
sequences-and-series
binomial-coefficients
hypergeometric-function
asked Apr 15, 2020 at 22:43
math.stackexchange.com
Top Answers
9
Is my analysis of the series $\sum_{n=1}^\infty{\frac{\ln n}{n}}$ correct?
math.stackexchange.com
8
Roots of $(x-\lfloor x\rfloor)^2+(x-\lfloor x\rfloor)\left\lfloor{1\over x -\lfloor x\rfloor}\right\rfloor=1$
math.stackexchange.com
7
Calculate $\lim_{n \to\infty}\sqrt[n]{\{\sqrt{2}\}\{2\sqrt{2}\}\{3\sqrt{2}\}\cdots\ \{n\sqrt{2}\} }$
math.stackexchange.com
7
why is $\lim \limits_{n \to \infty} \frac{2^n + 3^n} {10^{n \over 2}}$ $0$ and not $\infty$?
math.stackexchange.com
6
Why ReLU function is not differentiable at 0?
math.stackexchange.com
6
General coefficient of a Taylor series of $\frac{1}{e^{(e^{1-x})+\frac{x}{2}}+e^{\frac{x}{2}}}$
math.stackexchange.com
6
How to evaluate this sum $\sum_{n=0}^\infty \frac{\cos\left(\left(2n+1\right)\phi\right)}{\cos^{2n+1}\left(\phi\right)}$?
math.stackexchange.com
6
Finding maximum of sum of square roots
math.stackexchange.com
6
Is the following piecewise-defined function smooth $\in C^\infty(\mathbb{R})$?
math.stackexchange.com
5
How many possible different weekly schedules are there if an employee works five full days and two half-days?
math.stackexchange.com
5
limit of sequence defined by rationals and fractional parts
math.stackexchange.com
5
Closed form of $\int_{0}^1 \operatorname{Li}^2_n(x) dx$ for positive integer $n$
math.stackexchange.com
5
$ {1\over(1-x)}=\sum^n_{k=0}x^k + {x^{n+1}\over(1-x)}\space (when\space x\neq 1) $
math.stackexchange.com
5
Probability that the mean of a sequence of random variables never exceeds a critical value
math.stackexchange.com
5
A sequence of quadratic equations
math.stackexchange.com
5
Find the infinite sum $\sum_{n\geq0} \frac{2^n}{1+x^{2^n}}$ for $|x|>1$
math.stackexchange.com
5
Why is $\text{Var(}\text{min}(X, Y)) = \text{Var(}\text{max}(X, Y))$ for $X, Y \stackrel{\text{i.i.d}}{\sim} \mathcal{N}(0,1)$?
math.stackexchange.com
5
If $E(X)=E(X^2)$ then X is Bernoulli
math.stackexchange.com
5
Find all functions $f$ such that $f(f(x)) - xf(x)=0$
math.stackexchange.com
5
What is the shape of the perfect coffee cup for heat retention assuming coffee is being drunk at a constant rate?
math.stackexchange.com
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