User pharmine

30 votes

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What is the integral of $x(1-x)^8$?

answered Nov 12, 2011 at 18:29

17 votes

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How could we find the largest number in the sequence $ \sqrt{50},2\sqrt{49},3\sqrt{48},\cdots 49\sqrt{2},50$?

answered Nov 8, 2011 at 11:02

14 votes

How would I solve $\frac{(n - 10)(n - 9)(n - 8)\times\ldots\times(n - 2)(n - 1)n}{11!} = 12376$ for some $n$ without brute forcing it?

answered Sep 27, 2011 at 6:08

14 votes

Proof of Convergence: Babylonian Method $x_{n+1}=\frac{1}{2}(x_n + \frac{a}{x_n})$

answered Nov 16, 2011 at 15:54

12 votes

(Organic) Chemistry for Mathematicians

answered Oct 8, 2011 at 16:32

12 votes

Mathematics and Music

answered Nov 7, 2011 at 15:38

10 votes

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Need help solving a particular system of non-linear equations analytically

answered Sep 9, 2011 at 4:29

8 votes

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Show that the value of a definite integral is unity

answered Nov 10, 2011 at 5:36

7 votes

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fractional linear transformations

answered Sep 29, 2011 at 7:13

6 votes

Functional equation $f(x+f(x+y))=f(x-y)+f(x)^2 \quad \forall x,y\in \mathbb R$

answered Oct 20, 2011 at 11:55

6 votes

Proving Cauchy-Schwarz: $ x_{1}y_{1}+x_{2}y_{2}\leq \sqrt{x_{1}^{2}+x_{2}^{2}} \sqrt{y_{1}^{2}+y_{2}^{2}} $

answered Sep 14, 2011 at 14:08

6 votes

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Is $ x^2+ax+a$ irreducible over ring $\mathbb{Z}$ of integers?

answered Nov 10, 2011 at 12:41

6 votes

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Elegant way to prove this inequality

answered Nov 13, 2011 at 21:22

5 votes

How do you find the optimal value for this function?

answered Sep 7, 2011 at 17:57

5 votes

When does the summation of a quotient equal the quotient of summations?

answered Mar 24, 2013 at 20:02

5 votes

Show $\frac{x_1}{x_n} + \frac{x_2}{x_{n-1}} + \frac{x_3}{x_{n-2}} + \dots + \frac{x_n}{x_1} \geq n$

answered May 27, 2013 at 15:27

4 votes

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Hard algebra problem

answered Nov 9, 2011 at 7:43

3 votes

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Interpreting division

answered Nov 9, 2011 at 12:54

3 votes

From given equality find that $p$ for which equality have at least one positive root

answered Nov 4, 2011 at 14:11

3 votes

Accepted

Fourier application in biology

answered Mar 6, 2013 at 13:57

3 votes

Prove $ |\vec{a_1}-\vec{b}|+ \cdots +|\vec{a_n}-\vec{b}| > n $

answered May 3, 2013 at 11:56

3 votes

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A reccurent sequence

answered Feb 6, 2015 at 20:47

2 votes

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Correspondence between AB-divergence and Kullback-Leibler divergence

answered Jul 2, 2016 at 17:00

2 votes

Problem integrating by parts $e^{-2x}$

answered Nov 18, 2011 at 12:05

2 votes

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Find the maximum value of $T=\frac{2}{3}(\cos 2A-\cos 2B)-\tan\frac{C}{2}$

answered Apr 24, 2013 at 20:44

2 votes

Accepted

How prove this $T_{n}<\dfrac{5}{4}|b_{1}|$

answered May 4, 2013 at 18:21

2 votes

Accepted

Finding an angle between side and a segment from specified point inside an equilateral triangle

answered Nov 14, 2014 at 9:58

2 votes

Area combo of inner triangles formed by orthocenter, circumcenter, and vertices

answered Nov 15, 2014 at 17:58

2 votes

Accepted

A plane Geometry Problem

answered Oct 2, 2011 at 11:37

2 votes

Equivalent conditions to $0\leq x+\frac{1}{2}x(1-x)a\leq 1$?

answered Nov 9, 2011 at 17:14

Stack Exchange Network

43 Answers

What is the integral of $x(1-x)^8$?

How could we find the largest number in the sequence $ \sqrt{50},2\sqrt{49},3\sqrt{48},\cdots 49\sqrt{2},50$?

How would I solve $\frac{(n - 10)(n - 9)(n - 8)\times\ldots\times(n - 2)(n - 1)n}{11!} = 12376$ for some $n$ without brute forcing it?

Proof of Convergence: Babylonian Method $x_{n+1}=\frac{1}{2}(x_n + \frac{a}{x_n})$

(Organic) Chemistry for Mathematicians

Mathematics and Music

Need help solving a particular system of non-linear equations analytically

Show that the value of a definite integral is unity

fractional linear transformations

Functional equation $f(x+f(x+y))=f(x-y)+f(x)^2 \quad \forall x,y\in \mathbb R$

Proving Cauchy-Schwarz: $ x_{1}y_{1}+x_{2}y_{2}\leq \sqrt{x_{1}^{2}+x_{2}^{2}} \sqrt{y_{1}^{2}+y_{2}^{2}} $

Is $ x^2+ax+a$ irreducible over ring $\mathbb{Z}$ of integers?

Elegant way to prove this inequality

How do you find the optimal value for this function?

When does the summation of a quotient equal the quotient of summations?

Show $\frac{x_1}{x_n} + \frac{x_2}{x_{n-1}} + \frac{x_3}{x_{n-2}} + \dots + \frac{x_n}{x_1} \geq n$

Hard algebra problem

Interpreting division

From given equality find that $p$ for which equality have at least one positive root

Fourier application in biology

Prove $ |\vec{a_1}-\vec{b}|+ \cdots +|\vec{a_n}-\vec{b}| > n $

A reccurent sequence

Correspondence between AB-divergence and Kullback-Leibler divergence

Problem integrating by parts $e^{-2x}$

Find the maximum value of $T=\frac{2}{3}(\cos 2A-\cos 2B)-\tan\frac{C}{2}$

How prove this $T_{n}<\dfrac{5}{4}|b_{1}|$

Finding an angle between side and a segment from specified point inside an equilateral triangle

Area combo of inner triangles formed by orthocenter, circumcenter, and vertices

A plane Geometry Problem

Equivalent conditions to $0\leq x+\frac{1}{2}x(1-x)a\leq 1$?