List questions from real-analysis

Published on 12 Apr 2026 - 12:34

33

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I need help to compute limit of exponentials

Published on 18 Apr 2026 - 23:41

1.4k

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show that $f$ is continuous if and only if $\tau'$ is finer than $\tau$.

Published on 13 Apr 2026 - 16:23

90

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How to check continuous function $f$ has extension?

Published on 10 May 2026 - 21:17

141

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Prove $\int_a^b f(x)dx=(b-a)f\{a+\theta(b-a)\}$ for some $\theta\in(0,1)$.

Published on 10 May 2026 - 20:43

140

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Length of curve does not change

Published on 11 Apr 2026 - 21:51

96

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"Theoretical" exercise on convex function

Published on 14 May 2026 - 18:21

30

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Linear Algebra Orthogonality Proof with scalar

Published on 09 Apr 2026 - 10:02

181

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Diameter of $\left\{(x,y) : x^2+y^2 = 1\right\}$

Published on 16 Apr 2026 - 12:38

708

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How to find a dominant term?

Published on 11 May 2026 - 6:15

123

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Holomorphicity of $F(z)=\int_{-\infty}^{+\infty}\frac{f(t)}{t-z}dt$

Published on 10 May 2026 - 15:25

79

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A proof for boundedness of this ODE's solutions

Published on 15 Apr 2026 - 12:54

2.4k

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Using long division to divide one polynomial by another of a higher degree

Published on 11 May 2026 - 21:01

611

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Prove that if $F:[a,b]\to \mathbb{R}$, if $F'$ is continuous, and if $|F'(x)|<1$ on $[a,b]$, then $F$ is a contraction. Does $F$ necessarily have

Published on 15 Apr 2026 - 19:03

59

Views

Beam equation is neccesary condition for minimum of specific functional.

Published on 10 May 2026 - 12:07

List Question

Proving an open subset of $\mathbb{R}^{2}$

I need help to compute limit of exponentials

show that $f$ is continuous if and only if $\tau'$ is finer than $\tau$.

How to check continuous function $f$ has extension?

Prove $\int_a^b f(x)dx=(b-a)f\{a+\theta(b-a)\}$ for some $\theta\in(0,1)$.

Length of curve does not change

"Theoretical" exercise on convex function

Linear Algebra Orthogonality Proof with scalar

Diameter of $\left\{(x,y) : x^2+y^2 = 1\right\}$

How to find a dominant term?

Holomorphicity of $F(z)=\int_{-\infty}^{+\infty}\frac{f(t)}{t-z}dt$

A proof for boundedness of this ODE's solutions

Using long division to divide one polynomial by another of a higher degree

Prove that if $F:[a,b]\to \mathbb{R}$, if $F'$ is continuous, and if $|F'(x)|<1$ on $[a,b]$, then $F$ is a contraction. Does $F$ necessarily have

Beam equation is neccesary condition for minimum of specific functional.

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