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John Marty's user avatar
John Marty's user avatar
John Marty's user avatar
John Marty
  • Member for 11 years, 3 months
  • Last seen more than 8 years ago
1 vote
1 answer
94 views

Can we find two different real functions f and g such that f is a composition of g's and g is a composition of f's?

5 votes
1 answer
135 views

Why are these three lines concurrent?

1 vote
1 answer
88 views

Largest number of edges removed from $Q_{10}$ such that the graph always has a Hamiltonian cycle.

2 votes
1 answer
191 views

The camp leader would like to line the children up so that there are at most $2014$ children between any pair of friends.

0 votes
1 answer
41 views

Coloring 4 by 3 square such that every unit square has an even number of squares it shares a vertex with of the same color (including itself).

1 vote
1 answer
46 views

Coloring 3 by 3 square such that every unit square has an even number of squares it shares a vertex with of the same color (including itself).

6 votes
4 answers
301 views

Functional Equation: Find all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ such that $(x+y)(f(x)-f(y))=(x-y)f(x+y)$

5 votes
1 answer
66 views

Question on inequalities of symmetric means.

1 vote
2 answers
75 views

Question on reducibility over rationals.

2 votes
5 answers
336 views

For $x+y+z=3$ prove that $4\geqq x^2y+y^2z+z^2x$ [duplicate]

8 votes
1 answer
106 views

Massive expression mod $2^{2013}$

-1 votes
1 answer
259 views

Inequality sums of powers

-2 votes
2 answers
123 views

Verify if this inequality is true

3 votes
1 answer
162 views

Extra help on inequality

1 vote
1 answer
46 views

Quartets and parity

5 votes
1 answer
115 views

How to prove that all primes $p$ will have a power $p^k$ with a $2$ in its decimal representation?

8 votes
3 answers
3k views

Prove that $n^7+7$ can never be a perfect square.

1 vote
0 answers
55 views

Finding Steady state using markov chains. Am I right?

5 votes
2 answers
415 views

Algebra question from Australia national olympiad 2013

2 votes
1 answer
89 views

Help on whether a geometry solution is valid.

2 votes
2 answers
148 views

Follow up to previous functional equation question: $f\big(x^2+f(y)\big)=(x-y)^2f(x+y)$

5 votes
2 answers
157 views

Finding all $f:\mathbb{R} \rightarrow \mathbb{R}$ s.t $f(x^2+f(y))=(x-y)^2f(x+y)$ [duplicate]

2 votes
1 answer
624 views

Two Circles and Tangents from Their Centers Problem

8 votes
1 answer
317 views

Functional Equation - Am I right?

3 votes
2 answers
689 views

Does this proof work to prove that the greatest area of a triangle inside a circle is when the triangle is equilateral?

4 votes
2 answers
139 views

Solve the following in non-negative integers: $3^x-y^3=1$.

15 votes
5 answers
647 views

Given $a>b>2$ both positive integers, which of $a^b$ and $b^a$ is larger?

6 votes
1 answer
319 views

What happens to the infinite monkey theorem when there are an infinite number of keys on the typewriter?

15 votes
1 answer
1k views

Show that $4mn-m-n$ can never be a square

2 votes
3 answers
149 views

A slight variation on the Pythagorean theorem