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Show that existence of a limit point implies least upper bound property

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#real-analysis #sequences-and-series #convergence-divergence #supremum-and-infimum
34
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Strict inequality

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#measure-theory #inequality #supremum-and-infimum #limsup-and-liminf #measurable-functions
35
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Some problems in rigorously showing $\inf\{1-\frac{(-1)^n}{n}:n\in\mathbb{N}\}$

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#real-analysis #analysis #supremum-and-infimum
147
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Proving a limit using the dominated converge theorem.

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#real-analysis #functional-analysis #limits #lebesgue-integral #supremum-and-infimum
33
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The limit of a bounded function as x tends to negative infinity, and its relation to supremum

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#real-analysis #limits #supremum-and-infimum #epsilon-delta
31
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existence of a sequence in a set given the supremum

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#real-analysis #sequences-and-series #limits #supremum-and-infimum
28
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How to determine the infimum with linear and logarithm term to dualise a convex problem?

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#optimization #convex-optimization #nonlinear-optimization #supremum-and-infimum #duality-theorems
34
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Finding the bounds (if they exist) and the maximum and minimum of the group

Published on
#calculus #supremum-and-infimum #upper-lower-bounds
36
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confusion on a consequence of supremum lemma

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#real-analysis #analysis #supremum-and-infimum
76
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$f(x)=\cos x - e^{-x}$. Find min/max and prove supremum.

Published on
#real-analysis #functions #supremum-and-infimum
26
Views

How can I prove this lemma?

Published on
#calculus #functions #supremum-and-infimum
62
Views

Supremum notation

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#real-analysis #supremum-and-infimum
81
Views

Why isn't $\sup(f(x)+g(x)) = \sup f(x) + \sup g(x)$?

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#real-analysis #calculus #supremum-and-infimum
34
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If $A,B⊆X⊆ \mathbb R$, $A\cap B=∅$ $A,B$ open then $\sup A<\inf B$ or $\sup B< \inf A$

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#real-numbers #connectedness #supremum-and-infimum
13
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Recover an essential infimum given a family of measures from a process,

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#measure-theory #stochastic-processes #supremum-and-infimum

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