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14h
accepted proof by CP$ \binom{m}{1} S_{1}(n)+\binom{m}{2} S_{2}(n)+\binom{m}{3} S_{3}(n)+ \cdots +\binom{m}{m-1} S_{m-1}(n)=(n+1)^m-(n+1)$
14h
comment proof by CP$ \binom{m}{1} S_{1}(n)+\binom{m}{2} S_{2}(n)+\binom{m}{3} S_{3}(n)+ \cdots +\binom{m}{m-1} S_{m-1}(n)=(n+1)^m-(n+1)$
thank you for your answer
1d
asked proof by CP$ \binom{m}{1} S_{1}(n)+\binom{m}{2} S_{2}(n)+\binom{m}{3} S_{3}(n)+ \cdots +\binom{m}{m-1} S_{m-1}(n)=(n+1)^m-(n+1)$
1d
accepted How many pairs $ (a,b)$ of integers such that , $a^2b^2=4a^5+b^3 $
2d
comment How many pairs $ (a,b)$ of integers such that , $a^2b^2=4a^5+b^3 $
It's JMO problem
2d
revised How many pairs $ (a,b)$ of integers such that , $a^2b^2=4a^5+b^3 $
added 1 character in body; edited title
2d
asked How many pairs $ (a,b)$ of integers such that , $a^2b^2=4a^5+b^3 $
Apr
24
accepted How to proof $\sum^{n}_{k=1}\sin^2\left(x+ \frac{\pi(k-1)}{n} \right)=\frac{n}{2}$
Apr
23
asked How to proof $\sum^{n}_{k=1}\sin^2\left(x+ \frac{\pi(k-1)}{n} \right)=\frac{n}{2}$
Apr
19
accepted $a,a+d,a+2d,a+3d, a+4d, a+5d, a+6d$ are all primes. Find the minimum of $a+6d$
Apr
19
asked $a,a+d,a+2d,a+3d, a+4d, a+5d, a+6d$ are all primes. Find the minimum of $a+6d$
Apr
18
comment How to show that ($m,n\in \mathbb{N}, m>n$) ${\frac{ \left( m+n \right)^{m+n}}{m^{m} n^{n}}} > 2^{2n}$
Thank you nice answers.
Apr
18
comment How to show that ($m,n\in \mathbb{N}, m>n$) ${\frac{ \left( m+n \right)^{m+n}}{m^{m} n^{n}}} > 2^{2n}$
Thank you nice answers.
Apr
18
accepted How to show that ($m,n\in \mathbb{N}, m>n$) ${\frac{ \left( m+n \right)^{m+n}}{m^{m} n^{n}}} > 2^{2n}$
Apr
18
revised How to show that ($m,n\in \mathbb{N}, m>n$) ${\frac{ \left( m+n \right)^{m+n}}{m^{m} n^{n}}} > 2^{2n}$
deleted 2 characters in body; edited title
Apr
18
asked How to show that ($m,n\in \mathbb{N}, m>n$) ${\frac{ \left( m+n \right)^{m+n}}{m^{m} n^{n}}} > 2^{2n}$
Apr
17
accepted Find maximum of $f(x)=\frac{x^m(1-x)^n}{x(1-x)} $ on $0< x< 1$
Apr
17
asked Find maximum of $f(x)=\frac{x^m(1-x)^n}{x(1-x)} $ on $0< x< 1$
Apr
17
accepted Show that $\tan \alpha \tan \beta + \tan \beta\tan \gamma +\tan \gamma\tan \alpha =1$
Apr
17
comment Show that $\tan \alpha \tan \beta + \tan \beta\tan \gamma +\tan \gamma\tan \alpha =1$
Coment thank you!