Question

Why does the method of undetermined coefficients always work?

score 313 · Answer 1 · 2017-09-21 14:49:21

313

Views

Why does the method of undetermined coefficients always work?

Published on 21 Sep 2017 - 14:49

score 87 · Answer 2 · 2026-03-28 15:21:31

87

Views

Is there a proof for $\neg\neg p\vdash p$ that doesn't use law of excluded middle?

Published on 28 Mar 2026 - 15:21

score 849 · Answer 3 · 2026-04-06 12:59:22

849

Views

Proving that $\sqrt{2}$ is irrational with a math level of a middle school student?

Published on 06 Apr 2026 - 12:59

score 481 · Answer 4 · 2026-04-08 23:06:28

481

Views

Tricky formula to find common ratio of geometric progression

Published on 08 Apr 2026 - 23:06

score 396 · Answer 5 · 2026-03-31 12:17:17

396

Views

If $I$ is countable, $\tau$ is a stopping time iff $\forall t\in I, (\tau=t)\in \mathcal F_t$

Published on 31 Mar 2026 - 12:17

score 93 · Answer 6 · 2017-09-25 04:42:30

93

Views

How to prove $\forall x\in \mathbb{R} :f(x)=\sqrt{x^2-2\sqrt2x+9}+\sqrt{x^2-4\sqrt2x+16}\geq 5$?

Published on 25 Sep 2017 - 4:42

score 139 · Answer 7 · 2026-03-26 19:19:58

139

Views

Use Hölder's Inequality to get $(\sum_{i=1}^n x_i)^p+(\sum_{i=1}^n y_i)^p \leq \left(\sum_{i=1}^n(x_i^p+y_i^p)^{1/p}\right)^p$

Published on 26 Mar 2026 - 19:19

score 66 · Answer 8 · 2026-03-28 13:42:23

66

Views

Is how I derive $\bot\vdash \varphi$(rule of esxplosion) from Modus tollendo ponens correct and would you suggest any other way of doing this?

Published on 28 Mar 2026 - 13:42

score 748 · Answer 9 · 2017-09-27 13:17:08

748

Views

How to prove that the map $f: M_n(\Bbb R) \to M_n(\Bbb R)$ defined by $A \mapsto AA^t$ is continuous?

Published on 27 Sep 2017 - 13:17

score 347 · Answer 10 · 2017-09-27 16:33:58

347

Views

Wanting to verify a proof about the tensor product of transcendental extensions of a field

Published on 27 Sep 2017 - 16:33

score 955 · Answer 11 · 2026-03-27 16:39:46

955

Views

An elementary proof of $\int_{0}^{1}\frac{\arctan x}{\sqrt{x(1-x^2)}}\,dx = \frac{1}{32}\sqrt{2\pi}\,\Gamma\left(\tfrac{1}{4}\right)^2$

Published on 27 Mar 2026 - 16:39

score 59 · Answer 12 · 2026-04-08 17:15:38

59

Views

Making an array of five numbers increasing or decreasing by removing two elements, proof needed.

Published on 08 Apr 2026 - 17:15

score 478 · Answer 13 · 2026-04-12 14:14:15

478

Views

Alternate proof that $1+x+...+x^{p-1}$ is irreducible for prime $p$

Published on 12 Apr 2026 - 14:14

score 5.4k · Answer 14 · 2026-04-01 13:40:21

5.4k

Views

Riddle: A special $6$-digit number

Published on 01 Apr 2026 - 13:40

score 1.2k · Answer 15 · 2026-04-06 21:30:27

1.2k

Views

$(x_n)$ is a sequence of real numbers. Given $x_1=1$ and $x_{n+1}=x_n +\frac{1}{{x_n}^2}$. Show that the sequence is unbounded

Published on 06 Apr 2026 - 21:30

List Question

Why does the method of undetermined coefficients always work?

Is there a proof for $\neg\neg p\vdash p$ that doesn't use law of excluded middle?

Proving that $\sqrt{2}$ is irrational with a math level of a middle school student?

Tricky formula to find common ratio of geometric progression

If $I$ is countable, $\tau$ is a stopping time iff $\forall t\in I, (\tau=t)\in \mathcal F_t$

How to prove $\forall x\in \mathbb{R} :f(x)=\sqrt{x^2-2\sqrt2x+9}+\sqrt{x^2-4\sqrt2x+16}\geq 5$?

Use Hölder's Inequality to get $(\sum_{i=1}^n x_i)^p+(\sum_{i=1}^n y_i)^p \leq \left(\sum_{i=1}^n(x_i^p+y_i^p)^{1/p}\right)^p$

Is how I derive $\bot\vdash \varphi$(rule of esxplosion) from Modus tollendo ponens correct and would you suggest any other way of doing this?

How to prove that the map $f: M_n(\Bbb R) \to M_n(\Bbb R)$ defined by $A \mapsto AA^t$ is continuous?

Wanting to verify a proof about the tensor product of transcendental extensions of a field

An elementary proof of $\int_{0}^{1}\frac{\arctan x}{\sqrt{x(1-x^2)}}\,dx = \frac{1}{32}\sqrt{2\pi}\,\Gamma\left(\tfrac{1}{4}\right)^2$

Making an array of five numbers increasing or decreasing by removing two elements, proof needed.

Alternate proof that $1+x+...+x^{p-1}$ is irreducible for prime $p$

Riddle: A special $6$-digit number

$(x_n)$ is a sequence of real numbers. Given $x_1=1$ and $x_{n+1}=x_n +\frac{1}{{x_n}^2}$. Show that the sequence is unbounded

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