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happymath's user avatar
happymath
  • Member for 10 years, 3 months
  • Last seen more than a month ago
  • India
19 votes
Accepted

Rank of the outer product of two vectors

14 votes
Accepted

Are continuous functions monotonic for very small ranges?

12 votes
Accepted

If $x^2 +px +1$ is a factor of $ ax^3 +bx+c$ then relate $a,b,c$

10 votes

matrix with Eigenvalue 1,2,3

9 votes

$A$ is invertible matrix iff $Ax=0$ has the trivial solution only.

8 votes
Accepted

Proving that $(a+b+c)^n=a^n + b^n + c^n$

6 votes

Is there a domain "larger" than (i.e., a supserset of) the complex number domain?

6 votes

Integers of the form $x^2+2y^2$.

5 votes

Infinite product involving primes

4 votes
Accepted

Show that, if $ a + bi$ is prime in $\mathbb{Z} [i]$, then $a - bi$ is prime in $\mathbb{Z}[i]$

4 votes

Show that the topological space $X$ is irreducible

4 votes

Differential equation: $\frac {dy}{dx}=\frac {1}{x \cos y +\sin 2y}$

4 votes

Proof that $e^x$ is the eigenvector of the derivative operator

4 votes

Sum of measurable and non-measurable functions

4 votes
Accepted

Show that $p^{q^3+q} = p^2$ (mod $q$)

4 votes
Accepted

Pigeon Hole Principle on a set of n elements

3 votes

Prove:that in any set of 1009 positive integers exits two numbers $a_i$ and $a_j$ such that $a_i-a_j$ or $a_i+a_j$ is divisible by 2014

3 votes
Accepted

An injective map into a subset of an infinite set.

3 votes

Recursively deleting every second element in a list

3 votes

Prove that the number of partitions of $2010$ into $10$ parts is equal to the number of partitions of $2055$ into $10$ distinct parts.

3 votes
Accepted

Prove $x_1$ is at least a $k$-fold root of polynomial $p$ if and only if $p(x_1) = p^{'}(x_1) = \dots p^{(k-1)}(x_1) = 0$?

3 votes

Find the generating function?

3 votes

Proving that $a^n+b^n+c^n=0 \implies abc=0$.

3 votes
Accepted

Undirected graph contains a cycle

3 votes

functions that can be written as $g^3$

3 votes

If $a,b$ are positive rational numbers and $\sqrt a+\sqrt b$ is rational, then both of $\sqrt a,\sqrt b$ are rational numbers

2 votes

How to apply IVT to prove there exist a c in (a,b)?

2 votes

Determine which set span $\mathbb{R^3}$

2 votes
Accepted

Given three solutions of differential equation, to find its general solution

2 votes

Counter Example about Continuous Functions