Question

Can this statement about supremum be proven directly?

score 55 · Answer 1 · 2026-04-08 20:44:31

55

Views

Can this statement about supremum be proven directly?

Published on 08 Apr 2026 - 20:44

score 72 · Answer 2 · 2026-04-11 13:02:46

72

Views

Can a physical parameter originally defined as a scalar be shown to be a tensor through its relationship to another parameter that is a tensor?

Published on 11 Apr 2026 - 13:02

score 127 · Answer 3 · 2026-04-15 00:37:22

127

Views

If $U$ is simply connected and $u: U\to\Bbb R$ is harmonic then it have a conjugate in $U$

Published on 15 Apr 2026 - 0:37

score 14.2k · Answer 4 · 2026-04-13 10:41:32

14.2k

Views

Proving that a matrix is invertible without using determinants

Published on 13 Apr 2026 - 10:41

score 533 · Answer 5 · 2026-05-10 11:41:14

533

Views

Explanation to PDE $u_{tt}-c^2u_{xx}=0$ solution

Published on 10 May 2026 - 11:41

score 59 · Answer 6 · 2026-04-13 12:10:04

59

Views

Is it okay to prove this by contradiction?

Published on 13 Apr 2026 - 12:10

score 166 · Answer 7 · 2026-04-16 04:15:37

166

Views

How to prove that $\alpha^p = 1$ using induction?

Published on 16 Apr 2026 - 4:15

score 103 · Answer 8 · 2026-04-11 13:20:02

103

Views

$A289B$ is divisible by $90$, then what is $A+B$?

Published on 11 Apr 2026 - 13:20

score 118 · Answer 9 · 2026-04-16 05:27:33

118

Views

$\sum_{1}^{n}\left ( a_{i}b_{i} \right )\geq \prod_{1}^{n}\left ( a_{i}^{b_{i}} \right )$

Published on 16 Apr 2026 - 5:27

score 823 · Answer 10 · 2026-04-16 08:35:14

823

Views

Find the distribution of $ R=\sqrt{X^2+Y^2}$ where $ (X,Y)$ is uniform on the unit ball (new version)

Published on 16 Apr 2026 - 8:35

score 387 · Answer 11 · 2026-04-16 14:42:30

387

Views

Proving $\frac{a}{a+ b}+ \frac{b}{b+ c}+ \frac{c}{2c+ 5a}\geq \frac{38}{39}$

Published on 16 Apr 2026 - 14:42

score 160 · Answer 12 · 2026-04-13 21:49:33

160

Views

Given three positive numbers $x,y,z$. Prove that $(x+y-z)(\frac{3}{x+y}-\frac{1}{y+z}-\frac{1}{z+x})\leqq\frac{1}{2}$ .

Published on 13 Apr 2026 - 21:49

score 97 · Answer 13 · 2026-04-17 08:12:49

97

Views

Find all natural numbers $n$ for which $n = n'$

Published on 17 Apr 2026 - 8:12

score 134 · Answer 14 · 2026-04-12 12:32:44

134

Views

Prove the center of the unit circle has the highest average ray length?

Published on 12 Apr 2026 - 12:32

score 933 · Answer 15 · 2026-05-07 06:12:30

933

Views

Showing that a harmonic function maps open sets to open sets.

Published on 07 May 2026 - 6:12

List Question

Can this statement about supremum be proven directly?

Can a physical parameter originally defined as a scalar be shown to be a tensor through its relationship to another parameter that is a tensor?

If $U$ is simply connected and $u: U\to\Bbb R$ is harmonic then it have a conjugate in $U$

Proving that a matrix is invertible without using determinants

Explanation to PDE $u_{tt}-c^2u_{xx}=0$ solution

Is it okay to prove this by contradiction?

How to prove that $\alpha^p = 1$ using induction?

$A289B$ is divisible by $90$, then what is $A+B$?

$\sum_{1}^{n}\left ( a_{i}b_{i} \right )\geq \prod_{1}^{n}\left ( a_{i}^{b_{i}} \right )$

Find the distribution of $ R=\sqrt{X^2+Y^2}$ where $ (X,Y)$ is uniform on the unit ball (new version)

Proving $\frac{a}{a+ b}+ \frac{b}{b+ c}+ \frac{c}{2c+ 5a}\geq \frac{38}{39}$

Given three positive numbers $x,y,z$. Prove that $(x+y-z)(\frac{3}{x+y}-\frac{1}{y+z}-\frac{1}{z+x})\leqq\frac{1}{2}$ .

Find all natural numbers $n$ for which $n = n'$

Prove the center of the unit circle has the highest average ray length?

Showing that a harmonic function maps open sets to open sets.

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