List questions from real-analysis

Published on 15 Apr 2026 - 10:09

552

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What are some examples of pairs of uniformly continuous functions, one bounded and one not bounded, whose product is not uniformly continuous?

Published on 10 May 2026 - 15:09

48

Views

The limit of inverse trigonometry function

Published on 18 Apr 2026 - 18:37

54

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There exists a function $f: \Bbb R \mapsto \Bbb R$ such that $f^{(4)}(x)$ exists for all $x$ in $\Bbb R$ but is discontinuous at $x=0$

Published on 14 May 2026 - 18:26

43

Views

Projections on the boundary

Published on 12 Apr 2026 - 5:18

89

Views

Understanding $\int_\limits{0}^{1}\frac{1}{|t-s|^{\frac{1}{3}}}ds$

Published on 25 Apr 2026 - 1:57

801

Views

variational characterization of convex projection

Published on 14 May 2026 - 18:22

118

Views

Applying positive definiteness on an Inner Product Space

Published on 15 May 2026 - 18:12

153

Views

Proving property of the Bessel function

Published on 10 May 2026 - 15:44

38

Views

Scalar product implying norm inequality

Published on 14 Apr 2026 - 17:54

163

Views

Differentiability Of $\frac{x^3+y^4}{x^2+y^2}$

Published on 16 Apr 2026 - 15:28

25

Views

Question in proof of finitely generated abelian group

Published on 09 Apr 2026 - 19:34

80

Views

Commutative propertie of multiplication on $\mathbb{N}$

Published on 13 Apr 2026 - 2:36

38

Views

Convolution $f* \delta_h$ and integral of a function, $L^p$ spaces

Published on 10 May 2026 - 16:32

116

Views

Proving that the limit at $(0,-1)$ does not exist

Published on 13 Apr 2026 - 5:51

List Question

Proof regarding differentiability of $f$ and $g$

What are some examples of pairs of uniformly continuous functions, one bounded and one not bounded, whose product is not uniformly continuous?

The limit of inverse trigonometry function

There exists a function $f: \Bbb R \mapsto \Bbb R$ such that $f^{(4)}(x)$ exists for all $x$ in $\Bbb R$ but is discontinuous at $x=0$

Projections on the boundary

Understanding $\int_\limits{0}^{1}\frac{1}{|t-s|^{\frac{1}{3}}}ds$

variational characterization of convex projection

Applying positive definiteness on an Inner Product Space

Proving property of the Bessel function

Scalar product implying norm inequality

Differentiability Of $\frac{x^3+y^4}{x^2+y^2}$

Question in proof of finitely generated abelian group

Commutative propertie of multiplication on $\mathbb{N}$

Convolution $f* \delta_h$ and integral of a function, $L^p$ spaces

Proving that the limit at $(0,-1)$ does not exist

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