Question

Boundedness and Riemann-integrability implies Continuity at some point (Analysis)

score 976 · Answer 1 · 2026-04-14 01:25:52

Boundedness and Riemann-integrability implies Continuity at some point (Analysis)

Published on 14 Apr 2026 - 1:25

score 45 · Answer 2 · 2026-04-16 21:47:01

Let $g:[0,1]\to \mathbb{R}$ Suppose $g(0) < g(1)$ and for each x in $\mathbb{R}$ the set $g^{-1}(x)$ consists of at most one element

score 1.1k · Answer 3 · 2026-04-21 04:41:54

1.1k

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Is $\mathbb{R}\setminus\mathbb{Q}$ separable?

Published on 21 Apr 2026 - 4:41

score 369 · Answer 4 · 2026-04-15 06:33:14

369

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Is it true that $\left|\max|f(x)| - \max|g(x)|\right| \leq \max|f(x) - g(x)|$?

Published on 15 Apr 2026 - 6:33

score 51 · Answer 5 · 2026-04-09 12:10:26

51

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Construct a global invariant measure

Published on 09 Apr 2026 - 12:10

score 910 · Answer 6 · 2026-04-21 04:08:37

910

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Dense subspaces of $L^\infty(\Omega\times\Omega)$

Published on 21 Apr 2026 - 4:08

score 40 · Answer 7 · 2026-04-22 16:12:43

40

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Tangent map is continuous when derivative is not, given infinite-dimensional Banach space

Published on 22 Apr 2026 - 16:12

score 459 · Answer 8 · 2026-04-15 23:33:32

459

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Find the sum of the series $\sum_{n=1}^{\infty}\frac{1}{2^n-1}.$

Published on 15 Apr 2026 - 23:33

score 134 · Answer 9 · 2026-04-15 15:37:17

134

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Set of discontinues is always separable and what guarantees existence of $n_1$?

Published on 15 Apr 2026 - 15:37

score 83 · Answer 10 · 2026-04-16 08:23:57

83

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if $f: D\subseteq \mathbb{R}^n \to R$ is continuous at $a \in D$, then there exists a $\delta > 0$ s.t $f$ is continuous on $B(a, \delta)$?

Published on 16 Apr 2026 - 8:23

score 142 · Answer 11 · 2026-04-17 16:45:10

142

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Is there a non-degenerate solution for this PDE on $\mathbb{R}^3$?

Published on 17 Apr 2026 - 16:45

score 3.3k · Answer 12 · 2026-04-10 21:02:49

3.3k

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How to prove sin(nx) has no pointwise convergent subsequence without prior knowledge of Lebesgue's Theory?

Published on 10 Apr 2026 - 21:02

score 1k · Answer 13 · 2026-04-09 07:20:19

1k

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What is exactly the test function in real analysis?

Published on 09 Apr 2026 - 7:20

score 121 · Answer 14 · 2026-04-17 06:26:18

121

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Find $f$ such that $ \int_0^1{(f(t))^ndt} = \int_0^1{(f(t))^{n+1}dt} = \int_0^1{(f(t))^{n+2}dt} = c$

Published on 17 Apr 2026 - 6:26

score 69 · Answer 15 · 2026-04-21 14:45:15

69

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A confusion about find the boundary of a set $E = D \times E_x$, where $D \subseteq \mathbb{R}^n $ and $E \subseteq \mathbb{R}^1 $

Published on 21 Apr 2026 - 14:45

List Question

Boundedness and Riemann-integrability implies Continuity at some point (Analysis)

Let $g:[0,1]\to \mathbb{R}$ Suppose $g(0) < g(1)$ and for each x in $\mathbb{R}$ the set $g^{-1}(x)$ consists of at most one element

Is $\mathbb{R}\setminus\mathbb{Q}$ separable?

Is it true that $\left|\max|f(x)| - \max|g(x)|\right| \leq \max|f(x) - g(x)|$?

Construct a global invariant measure

Dense subspaces of $L^\infty(\Omega\times\Omega)$

Tangent map is continuous when derivative is not, given infinite-dimensional Banach space

Find the sum of the series $\sum_{n=1}^{\infty}\frac{1}{2^n-1}.$

Set of discontinues is always separable and what guarantees existence of $n_1$?

if $f: D\subseteq \mathbb{R}^n \to R$ is continuous at $a \in D$, then there exists a $\delta > 0$ s.t $f$ is continuous on $B(a, \delta)$?

Is there a non-degenerate solution for this PDE on $\mathbb{R}^3$?

How to prove sin(nx) has no pointwise convergent subsequence without prior knowledge of Lebesgue's Theory?

What is exactly the test function in real analysis?

Find $f$ such that $ \int_0^1{(f(t))^ndt} = \int_0^1{(f(t))^{n+1}dt} = \int_0^1{(f(t))^{n+2}dt} = c$

A confusion about find the boundary of a set $E = D \times E_x$, where $D \subseteq \mathbb{R}^n $ and $E \subseteq \mathbb{R}^1 $

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