Question

Generalisation of Binomial Theorem, Leibniz Formula and similar theorems

score 515 · Answer 1 · 2026-04-03 01:00:36

515

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Generalisation of Binomial Theorem, Leibniz Formula and similar theorems

Published on 03 Apr 2026 - 1:00

score 224 · Answer 2 · 2016-01-06 19:14:32

224

Views

Proving that $\sqrt{a_1^2} +\cdots+ \sqrt{a_n^2} > \sqrt{a_1^2 +\cdots+a_n^2}$ using Pythagoras

Published on 06 Jan 2016 - 19:14

score 452 · Answer 3 · 2016-01-06 20:22:33

452

Views

Proof $f(x,y)=x_1+e^{x_{2}}$ is strictly convex

Published on 06 Jan 2016 - 20:22

score 408 · Answer 4 · 2026-04-02 15:53:13

408

Views

Direct proof of the existence of optimal memoryless deterministic policies in MDP

Published on 02 Apr 2026 - 15:53

score 76 · Answer 5 · 2016-01-12 07:37:00

76

Views

Solving a Diophantine Equation with 2 variables

Published on 12 Jan 2016 - 7:37

score 227 · Answer 6 · 2016-01-15 21:31:13

227

Views

Prove $T$ is invertible

Published on 15 Jan 2016 - 21:31

score 108 · Answer 7 · 2016-01-16 03:58:15

108

Views

Can one show that $\frac{\vec{u}\cdot \vec{v}}{||\vec{u}||*||\vec{v}||}$ is always on the range of $\cos \theta $?

Published on 16 Jan 2016 - 3:58

score 120 · Answer 8 · 2016-01-16 12:31:11

120

Views

Are 2 quadrilaterals similar if they are both inscribed and have congruent angles and have perp diagonals

Published on 16 Jan 2016 - 12:31

score 450 · Answer 9 · 2016-01-19 09:09:40

450

Views

Use Cauchy-Schwarz inequality to prove that $\langle\,,\rangle : \mathscr H \times \mathscr H \to \Bbb C$ is continuous.

Published on 19 Jan 2016 - 9:09

score 62 · Answer 10 · 2016-01-20 09:28:05

62

Views

Is there a name for this double summation identity? What is the shortest way to illustrate that it holds?

Published on 20 Jan 2016 - 9:28

score 417 · Answer 11 · 2026-02-23 20:40:56

417

Views

On a Simple Theorem from Hilbert's The Foundations of Geometry

Published on 23 Feb 2026 - 20:40

score 148 · Answer 12 · 2016-01-21 16:45:54

148

Views

Alternative proof: G group of order $p^2$, p prime $\Rightarrow$ $H$ is normal in $G$.

Published on 21 Jan 2016 - 16:45

score 191 · Answer 13 · 2026-03-26 22:52:36

191

Views

Monomorphisms of monoids are stable under coproducts

Published on 26 Mar 2026 - 22:52

score 201 · Answer 14 · 2016-01-25 20:42:27

201

Views

For all $x$, $f(x)=\int_{0}^{x}f(t)dt$. Prove that $f(x)=0$ for all $x$.

Published on 25 Jan 2016 - 20:42

score 7.1k · Answer 15 · 2016-01-26 23:45:42

7.1k

Views

Proof using pumping lemma that $\{0^m1^n \mid m \neq n \}$ is not regular

Published on 26 Jan 2016 - 23:45

List Question

Generalisation of Binomial Theorem, Leibniz Formula and similar theorems

Proving that $\sqrt{a_1^2} +\cdots+ \sqrt{a_n^2} > \sqrt{a_1^2 +\cdots+a_n^2}$ using Pythagoras

Proof $f(x,y)=x_1+e^{x_{2}}$ is strictly convex

Direct proof of the existence of optimal memoryless deterministic policies in MDP

Solving a Diophantine Equation with 2 variables

Prove $T$ is invertible

Can one show that $\frac{\vec{u}\cdot \vec{v}}{||\vec{u}||*||\vec{v}||}$ is always on the range of $\cos \theta $?

Are 2 quadrilaterals similar if they are both inscribed and have congruent angles and have perp diagonals

Use Cauchy-Schwarz inequality to prove that $\langle\,,\rangle : \mathscr H \times \mathscr H \to \Bbb C$ is continuous.

Is there a name for this double summation identity? What is the shortest way to illustrate that it holds?

On a Simple Theorem from Hilbert's The Foundations of Geometry

Alternative proof: G group of order $p^2$, p prime $\Rightarrow$ $H$ is normal in $G$.

Monomorphisms of monoids are stable under coproducts

For all $x$, $f(x)=\int_{0}^{x}f(t)dt$. Prove that $f(x)=0$ for all $x$.

Proof using pumping lemma that $\{0^m1^n \mid m \neq n \}$ is not regular

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