List questions from extreme-value-theorem

Published on 22 Mar 2026 - 18:22

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Proving the maximum value of a set of numbers given their sum

Published on 05 Dec 2018 - 7:20

273

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Extreme value theorem: help with contradiction

Published on 22 Mar 2026 - 14:34

395

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Suppose a continuous function attains its minimum, prove that the function is not injective

Published on 27 Jan 2019 - 9:57

86

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Domain of attraction $F(x)=\exp(-x-\sin(x))$

Published on 22 Mar 2026 - 17:25

323

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Showing that the pointwise limit of continuous functions equals its supremum somewhere on compact domain

Published on 23 Feb 2026 - 12:36

34

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Example of a function f and a set E with the following: f is uniformly continuous on E, but f doesn't attain either a max or a min on E.

Published on 28 Mar 2019 - 20:31

200

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Reference for extreme value theorem.

Published on 22 Mar 2026 - 1:05

86

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Can the ratio of the two smallest element of an iid sample converge to 1 if the support of $X$ is positive?

Published on 11 Apr 2019 - 11:34

50

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Finding points which are not local maximum or minimum

Published on 22 Mar 2026 - 18:58

37

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Question about a certain part of Weierstrass extreme value theorem

Published on 27 Apr 2019 - 22:28

586

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I need to clarify my understanding of the extreme value theorem.

Published on 25 May 2019 - 15:26

682

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How do we construct a continuous function on the interval $(0, 1]$ without a minimum or a maximum?

Published on 31 May 2019 - 18:24

2.1k

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Let $f(x)$ be a continuous function on $[0,1]$ and $f(0) = f(1)$. Let $α ∈ (0,1)$. Prove that there exists an $x ∈ (0,1)$ such that $f(x) = f(αx)$.

Published on 03 Jun 2019 - 14:31

1.3k

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Derivation of Gumbel Distribution

Published on 25 Mar 2026 - 3:19

List Question

Proof of AM GM theorem using Lagrangian

Proving the maximum value of a set of numbers given their sum

Extreme value theorem: help with contradiction

Suppose a continuous function attains its minimum, prove that the function is not injective

Domain of attraction $F(x)=\exp(-x-\sin(x))$

Showing that the pointwise limit of continuous functions equals its supremum somewhere on compact domain

Example of a function f and a set E with the following: f is uniformly continuous on E, but f doesn't attain either a max or a min on E.

Reference for extreme value theorem.

Can the ratio of the two smallest element of an iid sample converge to 1 if the support of $X$ is positive?

Finding points which are not local maximum or minimum

Question about a certain part of Weierstrass extreme value theorem

I need to clarify my understanding of the extreme value theorem.

How do we construct a continuous function on the interval $(0, 1]$ without a minimum or a maximum?

Let $f(x)$ be a continuous function on $[0,1]$ and $f(0) = f(1)$. Let $α ∈ (0,1)$. Prove that there exists an $x ∈ (0,1)$ such that $f(x) = f(αx)$.

Derivation of Gumbel Distribution

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