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Proof of AM GM theorem using Lagrangian

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#calculus #multivariable-calculus #lagrange-multiplier #extreme-value-theorem #extreme-value-analysis
42
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Proving the maximum value of a set of numbers given their sum

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#multivariable-calculus #extreme-value-theorem
274
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Extreme value theorem: help with contradiction

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#real-analysis #proof-explanation #extreme-value-theorem
396
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Suppose a continuous function attains its minimum, prove that the function is not injective

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#real-analysis #extreme-value-theorem
87
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Domain of attraction $F(x)=\exp(-x-\sin(x))$

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#probability-distributions #stochastic-analysis #extreme-value-theorem
325
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Showing that the pointwise limit of continuous functions equals its supremum somewhere on compact domain

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#real-analysis #continuity #supremum-and-infimum #pointwise-convergence #extreme-value-theorem
35
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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.

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#continuity #extreme-value-theorem
202
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Reference for extreme value theorem.

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#general-topology #analysis #reference-request #semicontinuous-functions #extreme-value-theorem
87
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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?

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#probability #probability-theory #order-statistics #extreme-value-theorem
51
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Finding points which are not local maximum or minimum

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#multivariable-calculus #partial-derivative #maxima-minima #extreme-value-theorem
38
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Question about a certain part of Weierstrass extreme value theorem

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#real-analysis #multivariable-calculus #extreme-value-theorem
587
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I need to clarify my understanding of the extreme value theorem.

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#calculus #extreme-value-theorem
683
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How do we construct a continuous function on the interval $(0, 1]$ without a minimum or a maximum?

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#calculus #extreme-value-theorem
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 $f(x) = f(αx)$.

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#real-analysis #calculus #extreme-value-theorem
1.3k
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Derivation of Gumbel Distribution

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#probability #limits #extreme-value-theorem #extreme-value-analysis

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