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Presh's user avatar
Presh's user avatar
Presh
  • Member for 11 years
  • Last seen this week
68 votes
12 answers
22k views

A way to find this shaded area without calculus?

23 votes
3 answers
3k views

Challenging probability problem (AMC 12B Problem 18) - Are the AoPS solutions incomplete/wrong?

12 votes
4 answers
380 views

Find $\lim_{n \to \infty} \left[\frac{(n+1)^{n + 1}}{n^n} - \frac{n^{n}}{(n-1)^{n-1}} \right]$ (a question asked at trivia)

11 votes
0 answers
12k views

What is the origin of "how the Japanese multiply" / line multiplication?

11 votes
5 answers
4k views

In the surreal numbers, is it fair to say $0.9$ repeating is not equal to $1$?

10 votes
2 answers
4k views

Draws from the uniform distribution are taken until the sum exceeds 1. What is the expected value of the final draw?

8 votes
3 answers
1k views

Nested radical question (1993 All-Russian Olympiad)

5 votes
3 answers
1k views

Circle inscribed between quarter circles - proving its center point

4 votes
1 answer
3k views

Finding the number of Hamiltonian cycles for a cubical graph

4 votes
2 answers
3k views

The Lion and the Man Puzzle - Can the Man Escape, Or Is the Proof I Read Incorrect?

4 votes
2 answers
213 views

Solving $\int ^{1}_{0}{(-1)^x}dx$

3 votes
2 answers
439 views

2018 MathCounts: Let $D(k)$ be the number of diagonals for a polygon with $k$ sides. If $D(m) + D(n) = 125$, what is the value of $m+n$?

2 votes
2 answers
257 views

Is this even solvable? Area of 4th triangle given 3 areas

1 vote
2 answers
519 views

Related to a puzzle. Which is larger: $365 \cdot 365 \cdot (\frac{364}{365})^{365}$ or $364 \cdot 365(\frac{364}{365})^{364}$