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enter image description here!“Everything must be made as simple as possible. But not simpler.” ― Albert Einstein

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25
Let $A$ and $B$ be $n \times n$ real matrices such that $AB=BA=0$ and $A+B$ is invertible
Mar 26, 2013
13
How to solve : $\,8^x=6x$
Aug 23, 2013
12
Prove that $4x-x^4 \leq 3, x \in \Bbb R$
Apr 14, 2013
12
Initial value problem $dy/dx=y^{1/3}$, $y(0)=0$ has one of the following solution
Nov 28, 2012
12
If $a_1,a_2,\dotsc,a_n>0 $, then $\lim\limits_{x \to \infty} \left[\frac {a_1^{1/x}+a_2^{1/x}+\dotsb+a_n^{1/x}}{n}\right]^{nx}=a_1 a_2 \dotsb a_n$
Apr 10, 2013
11
$u_n=\frac {1}{1\cdot n}+\frac {1}{2(n-1)}+\ldots+\frac {1} {n \cdot 1}$,then $\lim u_n=?$
Apr 16, 2013
11
The residue at $\infty$
Nov 18, 2013
10
Why are analytic functions functions of $z$ and not of $\bar{z}$?
Jul 28, 2013
10
$f:\mathbb R\rightarrow \mathbb R$ be a continuous function such that $\int_{0}^{\infty}f(x)dx$ exists.
Dec 12, 2012
9
The number of limit points of the set $\left\{\frac1p+\frac1q:p,q \in \Bbb N\right\}$ is which of the following:
Jun 25, 2013
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How can I teach a $7^\text{th}$ grade student the concept of ratio and proportion