Question

For any integer a, a$^{37}$ $\equiv$ a (mod 1729)

score 70 · Answer 1 · 2020-03-07 20:22:24

70

Views

For any integer a, a$^{37}$ $\equiv$ a (mod 1729)

Published on 07 Mar 2020 - 20:22

score 288 · Answer 2 · 2020-03-08 00:48:42

288

Views

Proving $\|x\|_{\infty}\leq\|x\|_2\leq\sqrt{n}\|x\|_{\infty}$

Published on 08 Mar 2020 - 0:48

score 1.1k · Answer 3 · 2020-03-08 02:18:01

1.1k

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Proof that $f$ is strictly decreasing on $[a, b]$.

Published on 08 Mar 2020 - 2:18

score 243 · Answer 4 · 2026-03-29 10:19:22

243

Views

Let $G=\langle a \rangle$, $o(G)=12$ be a cyclic group, then $T:G \to G$ s.t. $T(x)=x^3$ is not an automorphism

Published on 29 Mar 2026 - 10:19

score 76 · Answer 5 · 2020-03-08 04:49:15

76

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For $a \in \mathbb Z$, $3\mid a$ if and only if $3\mid a^ 2$

Published on 08 Mar 2020 - 4:49

score 420 · Answer 6 · 2026-03-25 07:43:58

420

Views

Proof verification: determining the dimension of a polynomial ring from the going up theorem.

Published on 25 Mar 2026 - 7:43

score 124 · Answer 7 · 2026-04-02 13:01:17

124

Views

At which values of the parameter $k$, there is no solution to the inequality $(k+1)x^2-2kx+2k+2<0$?

Published on 02 Apr 2026 - 13:01

score 438 · Answer 8 · 2020-03-08 06:21:30

438

Views

Questions about distributivity of dot product proof

Published on 08 Mar 2020 - 6:21

score 517 · Answer 9 · 2020-03-08 06:29:41

517

Views

Proving the associativity of Matrix Multiplication

Published on 08 Mar 2020 - 6:29

score 39 · Answer 10 · 2026-03-25 07:45:54

39

Views

Finding a simple upper bound for the number of primes in $x, x+p_k\#, x+2p_k\#, \dots, x+(p_k\#-1)p_k\#$

Published on 25 Mar 2026 - 7:45

score 64 · Answer 11 · 2020-03-08 11:22:42

64

Views

Prove that for every $c>0$ there exists an $a \in [0,1)$ with $f(a) > c$

Published on 08 Mar 2020 - 11:22

score 90 · Answer 12 · 2026-03-26 19:20:09

90

Views

$\left(\int_{K^c} X d \mu \right) \left(\int_{K} X d \mu \right) \le \frac{\mu(\Omega)}{4}\int_{\Omega} X^2 d \mu $

Published on 26 Mar 2026 - 19:20

score 53 · Answer 13 · 2020-03-08 16:09:07

53

Views

Finding the derivative of $y=\frac{\ln(x)}{x^3}$ and $y=\ln(\sqrt{\frac{x+2}{x-2}})$

Published on 08 Mar 2020 - 16:09

score 64 · Answer 14 · 2026-04-02 15:39:24

64

Views

function differentiability of $g(x)=|f(x)|$

Published on 02 Apr 2026 - 15:39

score 43 · Answer 15 · 2026-04-01 07:55:33

43

Views

Wikipedia: What does $\int g(x, \xi) d \xi$ mean for $g \in L^1(\mathbb R^n)$, $\xi \in \mathbb{R}^n$?

Published on 01 Apr 2026 - 7:55

List Question

For any integer a, a$^{37}$ $\equiv$ a (mod 1729)

Proving $\|x\|_{\infty}\leq\|x\|_2\leq\sqrt{n}\|x\|_{\infty}$

Proof that $f$ is strictly decreasing on $[a, b]$.

Let $G=\langle a \rangle$, $o(G)=12$ be a cyclic group, then $T:G \to G$ s.t. $T(x)=x^3$ is not an automorphism

For $a \in \mathbb Z$, $3\mid a$ if and only if $3\mid a^ 2$

Proof verification: determining the dimension of a polynomial ring from the going up theorem.

At which values of the parameter $k$, there is no solution to the inequality $(k+1)x^2-2kx+2k+2<0$?

Questions about distributivity of dot product proof

Proving the associativity of Matrix Multiplication

Finding a simple upper bound for the number of primes in $x, x+p_k\#, x+2p_k\#, \dots, x+(p_k\#-1)p_k\#$

Prove that for every $c>0$ there exists an $a \in [0,1)$ with $f(a) > c$

$\left(\int_{K^c} X d \mu \right) \left(\int_{K} X d \mu \right) \le \frac{\mu(\Omega)}{4}\int_{\Omega} X^2 d \mu $

Finding the derivative of $y=\frac{\ln(x)}{x^3}$ and $y=\ln(\sqrt{\frac{x+2}{x-2}})$

function differentiability of $g(x)=|f(x)|$

Wikipedia: What does $\int g(x, \xi) d \xi$ mean for $g \in L^1(\mathbb R^n)$, $\xi \in \mathbb{R}^n$?

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