Question

Proof of the inequality $x^p - x^{p+1} \leq \frac{1}{p+1}$ for $p \in [0,1]$

score 66 · Answer 1 · 2026-04-17 11:52:22

66

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Proof of the inequality $x^p - x^{p+1} \leq \frac{1}{p+1}$ for $p \in [0,1]$

Published on 17 Apr 2026 - 11:52

score 399 · Answer 2 · 2026-04-08 16:08:45

399

Views

Characteristic Function of Gaussian/ Change of Variables in Complex Plane

Published on 08 Apr 2026 - 16:08

score 124 · Answer 3 · 2026-04-16 22:25:13

124

Views

Is there a minimum of points that need to be $\epsilon$-close to a point to call this point a limit point?

Published on 16 Apr 2026 - 22:25

score 83 · Answer 4 · 2026-04-10 19:58:33

83

Views

In compact embedding Theorem, $u_0$ lies in $W^{1,p}(\Omega)$?

Published on 10 Apr 2026 - 19:58

score 189 · Answer 5 · 2026-04-14 11:39:37

189

Views

Solve equation containing sine and exponential function for x

Published on 14 Apr 2026 - 11:39

score 243 · Answer 6 · 2026-04-09 17:47:20

243

Views

Size of neighborhood given by implicit function theorem

Published on 09 Apr 2026 - 17:47

score 89 · Answer 7 · 2026-04-14 13:00:17

89

Views

An alternative Lyapunov-like instability proof

Published on 14 Apr 2026 - 13:00

score 63 · Answer 8 · 2026-04-12 06:48:25

63

Views

Prove inequality holds for Single variable differentiable function

Published on 12 Apr 2026 - 6:48

score 95 · Answer 9 · 2026-04-20 09:51:54

95

Views

Non-surjectivity of a function

Published on 20 Apr 2026 - 9:51

score 91 · Answer 10 · 2026-04-15 10:36:17

91

Views

Limit of a function $g_k(x)$ when the limit $g_k(y)/g_k(z)$ is known.

Published on 15 Apr 2026 - 10:36

score 140 · Answer 11 · 2026-04-14 15:40:36

140

Views

Reformulation of inequality constraint

Published on 14 Apr 2026 - 15:40

score 63 · Answer 12 · 2026-04-16 04:08:04

63

Views

Maxima and minima of the function $f(x,y)=4xy$ on $M'=\{ (x,y) \in \mathbb{R}^2 |\max(|x|,|y|)\leq4 \}$

Published on 16 Apr 2026 - 4:08

score 125 · Answer 13 · 2026-04-17 12:29:40

125

Views

Showing that for real $0<x_i, 0<q$ with $x_1....x_n=q^n$ it holds that $(1+x_1)...(1+x_n)\geq(1+q)^n$

Published on 17 Apr 2026 - 12:29

score 242 · Answer 14 · 2026-04-14 13:32:32

242

Views

Apostol's mathematical analysis theorem 1.1

Published on 14 Apr 2026 - 13:32

score 118 · Answer 15 · 2026-04-12 15:59:59

118

Views

Prove that $A$ is open when $A \cap bd(A) = \emptyset$

Published on 12 Apr 2026 - 15:59

List Question

Proof of the inequality $x^p - x^{p+1} \leq \frac{1}{p+1}$ for $p \in [0,1]$

Characteristic Function of Gaussian/ Change of Variables in Complex Plane

Is there a minimum of points that need to be $\epsilon$-close to a point to call this point a limit point?

In compact embedding Theorem, $u_0$ lies in $W^{1,p}(\Omega)$?

Solve equation containing sine and exponential function for x

Size of neighborhood given by implicit function theorem

An alternative Lyapunov-like instability proof

Prove inequality holds for Single variable differentiable function

Non-surjectivity of a function

Limit of a function $g_k(x)$ when the limit $g_k(y)/g_k(z)$ is known.

Reformulation of inequality constraint

Maxima and minima of the function $f(x,y)=4xy$ on $M'=\{ (x,y) \in \mathbb{R}^2 |\max(|x|,|y|)\leq4 \}$

Showing that for real $0<x_i, 0<q$ with $x_1....x_n=q^n$ it holds that $(1+x_1)...(1+x_n)\geq(1+q)^n$

Apostol's mathematical analysis theorem 1.1

Prove that $A$ is open when $A \cap bd(A) = \emptyset$

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