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Mathematics
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17
Can we have a one-one function from [0,1] to the set of irrational numbers?
May 3, 2015
12
Calculating number of equivalence classes where two points are equivalent if they can be joined by a continuous path.
Dec 20, 2016
11
Greatest value of $\frac{1}{4\sin \theta-3 \cos \theta+6}$
Jan 12, 2016
10
Does there exists a finite abelian group $G$ containing exactly $60$ elements of order $2$?
Dec 13, 2016
9
Calculating dimension of the intersection of two subspaces
May 4, 2017
9
How to use generalized pigeonhole principle to be sure that at least one of the integers picked is even?
Oct 18, 2017
9
Let $f: \Bbb R \to \Bbb R$ be a differentiable function such that $\sup_{x \in \Bbb R}|f'(x)| \lt \infty$. Then
Dec 21, 2015
8
Example of continuous mapping of open(closed) set to not open(closed) set
Feb 27, 2017
8
Let $p(x)$ be a real $7$ degree polynomial with $p(\pi)=\sqrt 3$ and $\int_{-\pi}^{\pi}x^k p(x)=0$ for $0\le k\le 6$. Find $p(0)$ and $p(-\pi)$.
Nov 21, 2017
8
Show that the permutation $(1 \space 2 \space 3)$ can not be a cube of any element of $S_n.$
May 9, 2016