Question

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

score 392 · Answer 1 · 2026-03-16 23:11:10

392

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

Published on 16 Mar 2026 - 23:11

score 14.6k · Answer 2 · 2018-04-23 14:02:19

14.6k

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Prove that the sum of two continuous functions is continuous

Published on 23 Apr 2018 - 14:02

score 133 · Answer 3 · 2018-04-24 04:42:30

133

Views

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

Published on 24 Apr 2018 - 4:42

score 1.3k · Answer 4 · 2018-04-24 14:07:46

1.3k

Views

Proving two functions are equal with their derivatives

Published on 24 Apr 2018 - 14:07

score 777 · Answer 5 · 2018-04-25 13:50:27

777

Views

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

Published on 25 Apr 2018 - 13:50

score 180 · Answer 6 · 2018-04-28 07:36:45

180

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 28 Apr 2018 - 7:36

score 40 · Answer 7 · 2018-04-29 00:50:40

40

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 29 Apr 2018 - 0:50

score 162 · Answer 8 · 2026-03-22 02:14:17

162

Views

How quantifier elimination works

Published on 22 Mar 2026 - 2:14

score 76 · Answer 9 · 2018-05-07 14:36:32

76

Views

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

Published on 07 May 2018 - 14:36

score 99 · Answer 10 · 2018-05-11 03:05:19

99

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 11 May 2018 - 3:05

score 1k · Answer 11 · 2018-05-13 02:32:39

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 13 May 2018 - 2:32

score 54 · Answer 12 · 2018-05-13 14:47:40

54

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 13 May 2018 - 14:47

score 399 · Answer 13 · 2026-03-21 22:22:31

399

Views

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

Published on 21 Mar 2026 - 22:22

score 158 · Answer 14 · 2026-03-22 14:13:53

158

Views

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

Published on 22 Mar 2026 - 14:13

score 821 · Answer 15 · 2018-05-20 16:02:28

821

Views

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

Published on 20 May 2018 - 16:02

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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