Question

A new method for finding a solution (when they exist) to $x^2 = a \pmod p$?

score 262 · Answer 1 · 2026-04-14 05:08:11

262

Views

A new method for finding a solution (when they exist) to $x^2 = a \pmod p$?

Published on 14 Apr 2026 - 5:08

score 548 · Answer 2 · 2026-04-11 21:54:43

548

Views

Give an example of subset which is not a subgroup

Published on 11 Apr 2026 - 21:54

score 74 · Answer 3 · 2026-04-16 01:08:53

74

Views

If $f$ is R-integrable, prove that if $\int_a^b |f(x)|dx = 0$, then $f(x) = 0$ for all $x\in[a,b]$. If this is not true, provide a counter-example.

Published on 16 Apr 2026 - 1:08

score 301 · Answer 4 · 2026-04-16 05:23:02

301

Views

A category which direct limits but no general colimits

Published on 16 Apr 2026 - 5:23

score 398 · Answer 5 · 2026-04-13 14:07:38

398

Views

Homeomorphic metric spaces where the identity map is not a homeomorphism

Published on 13 Apr 2026 - 14:07

score 415 · Answer 6 · 2026-04-13 20:02:07

415

Views

Example of functions where limits don't commute

Published on 13 Apr 2026 - 20:02

score 28 · Answer 7 · 2026-04-15 15:07:15

28

Views

Surjective Homomorphism is Periodic?

Published on 15 Apr 2026 - 15:07

score 147 · Answer 8 · 2026-04-15 18:12:56

147

Views

Conjecture about :$\frac{a}{\sqrt[4]{8(b^4+c^4)}}+\frac{b}{a+c}+\frac{c}{a+b}\geq\sqrt{\frac94+\frac32 \cdot \frac{(a-b)^2}{ab+bc+ca}}$

Published on 15 Apr 2026 - 18:12

score 34 · Answer 9 · 2026-04-16 07:07:47

34

Views

Does there exist $T \in L(\Bbb R^6) \setminus \{0\}$ such that $\text {Im}\ (T) = \text {Ker}\ (T)\ $?

Published on 16 Apr 2026 - 7:07

score 244 · Answer 10 · 2026-04-15 05:55:19

244

Views

Sequences, whose difference converge to 0

Published on 15 Apr 2026 - 5:55

score 176 · Answer 11 · 2026-04-15 19:49:54

176

Views

Surprisingly Countable or Uncountable Sets

Published on 15 Apr 2026 - 19:49

score 339 · Answer 12 · 2026-04-15 08:11:09

339

Views

Show that $f$ is convex iff $f\left (\frac{1}{2}x + \frac{1}{2}y \right ) \leq \frac{1}{2} f(x) + \frac{1}{2} f(y)$

Published on 15 Apr 2026 - 8:11

score 82 · Answer 13 · 2026-04-10 23:19:59

82

Views

Borel measure that is locally finite but not borel regular

Published on 10 Apr 2026 - 23:19

score 143 · Answer 14 · 2026-04-16 19:50:35

143

Views

Conjecture: $a^{(2(1-a))^{\frac{1}{n}}}+b^{(2(1-b))^{\frac{1}{n}}}+c^{(2(1-c))^{\frac{1}{n}}}+\frac{c}{n}\leq 1$

Published on 16 Apr 2026 - 19:50

score 218 · Answer 15 · 2026-04-12 04:39:17

218

Views

Example of filtration

Published on 12 Apr 2026 - 4:39

List Question

A new method for finding a solution (when they exist) to $x^2 = a \pmod p$?

Give an example of subset which is not a subgroup

If $f$ is R-integrable, prove that if $\int_a^b |f(x)|dx = 0$, then $f(x) = 0$ for all $x\in[a,b]$. If this is not true, provide a counter-example.

A category which direct limits but no general colimits

Homeomorphic metric spaces where the identity map is not a homeomorphism

Example of functions where limits don't commute

Surjective Homomorphism is Periodic?

Conjecture about :$\frac{a}{\sqrt[4]{8(b^4+c^4)}}+\frac{b}{a+c}+\frac{c}{a+b}\geq\sqrt{\frac94+\frac32 \cdot \frac{(a-b)^2}{ab+bc+ca}}$

Does there exist $T \in L(\Bbb R^6) \setminus \{0\}$ such that $\text {Im}\ (T) = \text {Ker}\ (T)\ $?

Sequences, whose difference converge to 0

Surprisingly Countable or Uncountable Sets

Show that $f$ is convex iff $f\left (\frac{1}{2}x + \frac{1}{2}y \right ) \leq \frac{1}{2} f(x) + \frac{1}{2} f(y)$

Borel measure that is locally finite but not borel regular

Conjecture: $a^{(2(1-a))^{\frac{1}{n}}}+b^{(2(1-b))^{\frac{1}{n}}}+c^{(2(1-c))^{\frac{1}{n}}}+\frac{c}{n}\leq 1$

Example of filtration

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