Question

If $n = km$ is a Descartes number with quasi-Euler prime $m$, then $m < k$.

score 398 · Answer 1 · 2026-04-23 02:49:44

398

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If $n = km$ is a Descartes number with quasi-Euler prime $m$, then $m < k$.

Published on 23 Apr 2026 - 2:49

score 14.6k · Answer 2 · 2026-04-13 16:02:01

14.6k

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Prove that the sum of two continuous functions is continuous

Published on 13 Apr 2026 - 16:02

score 136 · Answer 3 · 2026-04-14 17:58:18

136

Views

Nonlinear ODE $y''+y'+\frac {1}{y}=0$, $\int yy''dy$ and $\int yy''dt$

Published on 14 Apr 2026 - 17:58

score 1.3k · Answer 4 · 2026-04-09 18:58:36

1.3k

Views

Proving two functions are equal with their derivatives

Published on 09 Apr 2026 - 18:58

score 782 · Answer 5 · 2026-05-10 13:50:00

782

Views

Prove that the Laplace's equation $\Delta u=0$ is rotation invariant on ${\mathbb R}^n$

Published on 10 May 2026 - 13:50

score 183 · Answer 6 · 2026-04-15 01:38:49

183

Views

Consider $\sum\limits_{n=0}^\infty (-1)^nx^{2n}$. Does it converges uniformly in the intervals $-1<x<1$ and $-1\le x\le 1$?

Published on 15 Apr 2026 - 1:38

score 43 · Answer 7 · 2026-04-16 11:12:19

43

Views

Compute the coefficients of $\sum\limits_{n=1}^\infty A_n\sin\frac{n\pi x}{l}=\frac{x^2-x}{4}$

Published on 16 Apr 2026 - 11:12

score 170 · Answer 8 · 2026-04-22 21:48:41

170

Views

How quantifier elimination works

Published on 22 Apr 2026 - 21:48

score 79 · Answer 9 · 2026-04-15 23:27:16

79

Views

Asymptotic expansion of $u_n$ such that $u_n^n-u_n-n=0$

Published on 15 Apr 2026 - 23:27

score 102 · Answer 10 · 2026-04-16 02:32:09

102

Views

Suppose $a,b,c,$ and $d$ are real numbers, $0 \lt a \lt b $, and $d \gt 0$. Prove that if $ac \ge bd$ then $c \gt d$

Published on 16 Apr 2026 - 2:32

score 1k · Answer 11 · 2026-04-14 13:07:42

1k

Views

Show that the algebraic subsets of $\mathbb{A}^1(k)$ are just the finite subsets, together with $\mathbb{A}^1(k)$ itself

Published on 14 Apr 2026 - 13:07

score 57 · Answer 12 · 2026-04-16 07:25:38

57

Views

If $f(x)$ is the square root of the number that is $2$ more than $x,$ what is the value of $f(7) - f(-1)$?

Published on 16 Apr 2026 - 7:25

score 403 · Answer 13 · 2026-04-14 06:31:44

403

Views

Prove $||a|-|b| | \leq |a-b|$

Published on 14 Apr 2026 - 6:31

score 161 · Answer 14 · 2026-04-15 02:36:05

161

Views

$\sum_{k=1}^{n} \frac{1}{n+k} < \ln 2$

Published on 15 Apr 2026 - 2:36

score 823 · Answer 15 · 2026-04-14 20:35:02

823

Views

Proving that $\{\cos n\mid n\in\mathbb N\}$ is dense in $[-1,1]$

Published on 14 Apr 2026 - 20:35

List Question

If $n = km$ is a Descartes number with quasi-Euler prime $m$, then $m < k$.

Prove that the sum of two continuous functions is continuous

Nonlinear ODE $y''+y'+\frac {1}{y}=0$, $\int yy''dy$ and $\int yy''dt$

Proving two functions are equal with their derivatives

Prove that the Laplace's equation $\Delta u=0$ is rotation invariant on ${\mathbb R}^n$

Consider $\sum\limits_{n=0}^\infty (-1)^nx^{2n}$. Does it converges uniformly in the intervals $-1<x<1$ and $-1\le x\le 1$?

Compute the coefficients of $\sum\limits_{n=1}^\infty A_n\sin\frac{n\pi x}{l}=\frac{x^2-x}{4}$

How quantifier elimination works

Asymptotic expansion of $u_n$ such that $u_n^n-u_n-n=0$

Suppose $a,b,c,$ and $d$ are real numbers, $0 \lt a \lt b $, and $d \gt 0$. Prove that if $ac \ge bd$ then $c \gt d$

Show that the algebraic subsets of $\mathbb{A}^1(k)$ are just the finite subsets, together with $\mathbb{A}^1(k)$ itself

If $f(x)$ is the square root of the number that is $2$ more than $x,$ what is the value of $f(7) - f(-1)$?

Prove $||a|-|b| | \leq |a-b|$

$\sum_{k=1}^{n} \frac{1}{n+k} < \ln 2$

Proving that $\{\cos n\mid n\in\mathbb N\}$ is dense in $[-1,1]$

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