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  • Member for 7 years, 4 months
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6 votes

Compare sum of radicals

6 votes
Accepted

How to prove that $2^{n+2}+3^{2n+1}$ is divisible by 7 using induction?

4 votes

Is every monotone map the gradient of a convex function?

4 votes

What is the connection between the discriminant of a quadratic and the distance formula?

4 votes
Accepted

Cauchy sequence question.

3 votes
Accepted

Finding explicit formula for the following sequence?

3 votes
Accepted

Solve $|1 + x| < 1$

3 votes

Prove convergence of $x_{n+1} = \frac{x_n}{2} + \frac{2}{x_n}$

2 votes

$f$ differentiable at $0\iff\lim_{x\to 0}\frac{f(2x)-f(x)}{x}$ exists

2 votes
Accepted

If $T: R^2 \rightarrow R$ is a linear transformation then

2 votes
Accepted

Let $(1+x+x^2)^n=a_0+a_1x+a_2x^2+\cdots+a_{2n}x^{2n}$ be an identity in $x$. Find $a_0 +a_2 +a_4+ \cdots +a_{2n} $ in terms of $n$

2 votes

$a^2+b^2+c^2=(abc)^2-2\leq 6$. Proof or counter-example needed for $a,b,c\gt 0$

2 votes
Accepted

intuition behind subspace of $R^n$

2 votes

Why $\max \left\{ {{x^T}Ax:x \in {R^n},{x^T}x = 1} \right\}$ is the largest real eigenvalue of A?

2 votes
Accepted

Find $\lim_{(x,y)\to (0,0)} \frac{\sin\left(x+2y\right)}{x+y}$

2 votes

Finding the max of $x^2/(2 + x^2)$

1 vote

If $(\nabla f(x)-\nabla f(y))\cdot(x-y)\geq m(x-y)\cdot(x-y)$, why is $f$ convex?

1 vote
Accepted

Quasiconvex functions

1 vote

Analyzing if function is "onto"

1 vote

Error in my proof?

1 vote

Simplify $\frac{(\cos \frac{π}{7}-i\sin\frac{π}{7})^3}{(\cos\frac{π}{7}+i\sin\frac{π}{7})^4}$

1 vote

"If $1/a + 1/b = 1 /c$ where $a, b, c$ are positive integers with no common factor, $(a + b)$ is the square of an integer"

1 vote

Proving a Sequence Does Not Converge

1 vote

Choosing $2$ paths through $(0,0)$ to show: $ \lim_{(x,y) \to (0,0)}\frac{xy^2}{x^2 + y^4}$ does not exist

1 vote

Limit of average of sequence elements

1 vote

Parametrizing a triangle in $\mathbb{R}^3$?

1 vote

Solving a trigonometric equation from $[0,2\pi]$

0 votes

The length of a rectangle is 6m longer than the width. If the area of a rectangle is $84^2$m, find the dimensions of the rectangle.

0 votes

proving that $\text{aff}C-\text{aff}C\subset\text{aff}\,(C-C)$

0 votes

Absolute Values and its Inequalities