List questions from problem-solving

Published on 20 May 2013 - 16:46

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No idea how to solve this equation using two exponentials

Published on 21 May 2013 - 2:59

96

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Solving a system of equation:

Published on 08 Apr 2026 - 5:17

121

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About continuous functions and aritmethic progression

Published on 22 May 2013 - 18:16

258

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Maximizing an unusual function (Putnam 1996)

Published on 23 May 2013 - 2:27

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Solving $\sqrt{7x-4}-\sqrt{7x-5}=\sqrt{4x-1}-\sqrt{4x-2}$

Published on 23 May 2013 - 16:58

135

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Solving variables for the equilibrium distribution

Published on 26 May 2013 - 5:17

412

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Let $k \geq 3$; prove $2^k$ can be written as $(2m+1)^2+7(2n+1)^2$

Published on 26 May 2013 - 10:53

181

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Confusion regarding probability of microbe producing everlasting colony.

Published on 30 May 2013 - 19:44

796

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Evaluating the time average over energy

Published on 31 May 2013 - 12:41

115

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$\log\left(\binom{n}{x} \pi^x (1-\pi)^{n-x}\right)=x\log \pi + (n-x)\log(1-\pi)\;\;?$

Published on 31 May 2013 - 14:28

38

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Is this the best solution (or a correct one) to this recurrence relation.

Published on 01 Jun 2013 - 1:13

177

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How to find $p$ when $ ({\frac{1}{2}})^p + ({\frac{1}{4}})^p + ({\frac{1}{8}})^p - 1 = 0. $

Published on 01 Jun 2013 - 19:38

877

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Differentiable functions satisfying $f'(f(x))=f(f'(x))$

Published on 06 Apr 2026 - 16:18

151

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How can $\frac{x}{\pi}-\frac{n-x}{1-\pi}$ be the correct derivative of $x\log\pi+(n-x)\log(1-\pi)$?

Published on 02 Jun 2013 - 8:08

List Question

Frequency determination from Dimension analysis

No idea how to solve this equation using two exponentials

Solving a system of equation:

About continuous functions and aritmethic progression

Maximizing an unusual function (Putnam 1996)

Solving $\sqrt{7x-4}-\sqrt{7x-5}=\sqrt{4x-1}-\sqrt{4x-2}$

Solving variables for the equilibrium distribution

Let $k \geq 3$; prove $2^k$ can be written as $(2m+1)^2+7(2n+1)^2$

Confusion regarding probability of microbe producing everlasting colony.

Evaluating the time average over energy

$\log\left(\binom{n}{x} \pi^x (1-\pi)^{n-x}\right)=x\log \pi + (n-x)\log(1-\pi)\;\;?$

Is this the best solution (or a correct one) to this recurrence relation.

How to find $p$ when $ ({\frac{1}{2}})^p + ({\frac{1}{4}})^p + ({\frac{1}{8}})^p - 1 = 0. $

Differentiable functions satisfying $f'(f(x))=f(f'(x))$

How can $\frac{x}{\pi}-\frac{n-x}{1-\pi}$ be the correct derivative of $x\log\pi+(n-x)\log(1-\pi)$?

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