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Satish Ramanathan's user avatar
Satish Ramanathan's user avatar
Satish Ramanathan's user avatar
Satish Ramanathan
  • Member for 10 years, 6 months
  • Last seen this week
  • Tuscaloosa, AL
12 votes
Accepted

A contest math integral: $\int_1^\infty \frac{\text{d}x}{\pi^{nx}-1}$

6 votes

Why is log-of-sum-of-exponentials $f(x)=\log\left(\sum_{i=1}^n e^ {x_i}\right)$ a convex function for $x \in\mathbb R^n$?

6 votes

Find limit of this decreasing sequence

6 votes
Accepted

Basic combinatorics question

5 votes

Finding limit of $x_n$=$(1-1/(2^2))(1-1/(3^2))...(1-1/(n^2))$

5 votes

How many distinct triples of non-negative $\lbrace{x,y,z\mid x,y,z\in \mathbb Z\rbrace}$ satisfy $2x+y+z=16$?

5 votes

Is there an analytic solution for the equation $\log_{2}{x}+\log_{3}{x}+\log_{4}{x}=1$?

5 votes
Accepted

A and B are mutually exclusive, C and D are independent

4 votes
Accepted

Find maximum of $f(0)$ if $f$ is a $C^1$ function defined on the open interval $(-1,4)$ such that $f(3)=5$ and $f'(x) \ge -1$ for all $x$

4 votes
Accepted

Markov Chain mean hitting time

4 votes
Accepted

Problem on total probability

4 votes
Accepted

Bounds for change of variable

4 votes

Probability that product of any four natural numbers is divisible by 5

4 votes
Accepted

$(3/4) \cdot (8/9) \cdot (15/16) \cdot \ldots$ How to prove that limit is $1/2$

4 votes

Probablity that 3 husbands sit next to their wives round a circular table

4 votes

n people & n hats: probability that at least 1 person has his own hat

4 votes
Accepted

Average number of tosses to reach a head with a biased coin

4 votes

What property of queuing systems does 'first-come-first-served' maximize?

4 votes
Accepted

number of ways of inviting friends for dinner

4 votes

Trick, or Indefinite Integration?

4 votes

What is the probablity of sitting next to my friend?

3 votes
Accepted

Boolean Algebra: Simplify AB + A'C + B'C

3 votes

Cat / mouse probability question

3 votes

If $x=2\cos t-\cos 2t $, $y=2\sin t -\sin 2t$, find the value of $\frac{d^2y}{dx^2}$ when $t= \pi /2$

3 votes
Accepted

Induction proof for stirling of first kind.

3 votes
Accepted

Find the probability of success in the first least 20 consecutive attempts

3 votes
Accepted

A question from my high school Olympiad.

3 votes

One way road problem about combinatorics

3 votes
Accepted

How to determine Percent of a range?

3 votes
Accepted

Sum of exponential random variables over their indices

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