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Gautam Shenoy's user avatar
Gautam Shenoy's user avatar
Gautam Shenoy's user avatar
Gautam Shenoy
  • Member for 11 years, 11 months
  • Last seen more than a month ago
  • Bangalore, India
32 votes

Why is $i^3$ (the complex number "$i$") equal to $-i$ instead of $i$?

29 votes
Accepted

Is linear function convex or concave?

20 votes
Accepted

product of two uniformly continuous functions is uniformly continuous

16 votes

Proving there are no integers $a, b, c$ satisfying $12a + 18b + 27c = 227$

13 votes
Accepted

Prove that $\frac{mn}{1+m+n}\ge\frac{1}{3}$ for $m,n\in\mathbb{N}$

13 votes

Why is a linear combination of solutions also a solution?

11 votes

$\lim_{R\rightarrow\infty} \int_0^R e^{x^2 - R^2}dx$

10 votes

Conditional Expectation: What happens if you take conditional expectation on trivial sigma field?

10 votes

How to prove that càdlàg (RCLL) functions on $[0,1]$ are bounded?

9 votes
Accepted

Does $\sum \frac{(n+4^n)}{n+6^n}$ converge or diverge?

9 votes
Accepted

(Dis)prove that $\sup(A \cap B) = \min\{\sup A, \sup B\}$

9 votes
Accepted

What is the meaning of a.s.?

9 votes
Accepted

Prove that if $x$ is odd then $x^2 -1$ is divisible by $8$.

9 votes

Prove $E[XY]=E[YE[X|Y]]$

8 votes

There exist no integers for which $x^2-4y=2$

8 votes

$f(x)=1/q$ for $x=p/q$ is integrable

8 votes
Accepted

variance inequality

8 votes
Accepted

How do I show that two random variables have the same cumulative distribution function?

7 votes
Accepted

Proof Question - Calculus

7 votes

Find $\sum_{n=1}^{\infty}\frac{1}{n!}$

7 votes
Accepted

Why do we require absolute convergence in the definition of expectation?

6 votes
Accepted

How to find $E(X|X+Y=k)$ for geometrical distribution?

6 votes
Accepted

Doubt on Logarithms multiplication

6 votes

Markov inequality example

6 votes

convergence of increasing sequence of measures

6 votes

Prove $\frac{n}{n+1}<\frac{n+1}{n+2}$

6 votes

Does $\sum 3^{-\sqrt{n}}$ converge or diverge?

6 votes

Must be Bayes' theorem

5 votes

Showing that $\sum_{k=1}^n\dfrac{1}{2^{k-1}}$ for $n \geq 2$ is not an integer .

5 votes

Doubt on Tail events and Kolmogorov Zero-One Law

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