List questions from problem-solving

Published on 02 Jan 2014 - 3:02

315

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Stuck solving an equation using the floor operator.

Published on 09 Apr 2026 - 14:37

104

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Distance Question

Published on 02 Jan 2014 - 19:42

116

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At Great Value Expression

Published on 11 Apr 2026 - 7:31

899

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How many (linear) order types are there on a set of n elements?

Published on 03 Jan 2014 - 9:55

201

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Different ways of operating an infinite continued fraction

Published on 10 Apr 2026 - 18:59

694

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Inequality $\frac{a + \sqrt{ab} + \sqrt[3]{abc}}{3} \leq \sqrt[3]{a \cdot \frac{a+b}{2} \cdot \frac{a+b+c}{3}}.$

Published on 05 Jan 2014 - 0:49

91

Views

An integration question.

Published on 08 Apr 2026 - 22:27

323

Views

General solution of a second order PDE

Published on 05 Jan 2014 - 19:52

225

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Separating $3n$ points on the plane by a line

Published on 28 Mar 2026 - 6:06

55

Views

Simplify $y^\top x -\log(\sum_i e^{x_i})$

Published on 08 Jan 2014 - 16:21

71

Views

Searching for an explicit functional form

Published on 10 Apr 2026 - 16:20

145

Views

Define S as a set of primes such that if a, b are in S, ab+4 is in S. Show that S must be empty.

Published on 10 Jan 2014 - 7:23

412

Views

Show that if $z = e^{i\theta}$ is a solution to $0 = z^n + a_{n-1}z^{n-1} + \cdots + a_1z + a_0$, ...

Published on 13 Jan 2014 - 8:28

828

Views

Solving a tough system of linear equations

Published on 11 Apr 2026 - 0:34

List Question

Solve for $x$ when a maximum over $x$ and a constant is involved

Stuck solving an equation using the floor operator.

Distance Question

At Great Value Expression

How many (linear) order types are there on a set of n elements?

Different ways of operating an infinite continued fraction

Inequality $\frac{a + \sqrt{ab} + \sqrt[3]{abc}}{3} \leq \sqrt[3]{a \cdot \frac{a+b}{2} \cdot \frac{a+b+c}{3}}.$

An integration question.

General solution of a second order PDE

Separating $3n$ points on the plane by a line

Simplify $y^\top x -\log(\sum_i e^{x_i})$

Searching for an explicit functional form

Define S as a set of primes such that if a, b are in S, ab+4 is in S. Show that S must be empty.

Show that if $z = e^{i\theta}$ is a solution to $0 = z^n + a_{n-1}z^{n-1} + \cdots + a_1z + a_0$, ...

Solving a tough system of linear equations

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