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Pointwise continuity and supremum/infimum.

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#real-analysis #continuity #supremum-and-infimum
455
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How to find the supremum and infimum of this set

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#real-analysis #supremum-and-infimum
138
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Show $\inf (f_n )=- \sup (-f_n)$

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#sequences-and-series #measure-theory #supremum-and-infimum
346
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Compute $\sup(A)$ and $\inf(A)$ where $A= \{{1 + n^{-1} \mid n \in \mathbb{N}}\}$

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#real-analysis #sequences-and-series #supremum-and-infimum
508
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Supremum of $(-\sqrt{2},\sqrt{2})\cap \mathbb{Q}$

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#real-analysis #supremum-and-infimum
147
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Find $\inf A$ and $\sup A$ for $A=\{x+\frac{4}{x}: x>0\}$

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#calculus #supremum-and-infimum
1.2k
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Understanding the proof of $\sup(AB)=\sup A\cdot \sup B$.

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#calculus #supremum-and-infimum
2.3k
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Given $A, B \subset R$, both non-empty, show that $\inf{(A \cup B)} = \min{\{\inf{A}, \inf{B}\}}$

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#real-analysis #proof-verification #supremum-and-infimum
382
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Proof that a bounded above set contains a strictly increasing subsequence

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#real-analysis #proof-verification #supremum-and-infimum
61
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Why this sequence of functions goes to zero?

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#real-analysis #limits #distribution-theory #supremum-and-infimum #schwartz-space
70
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What is condition of set C where Point-wise supremum

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#optimization #convex-analysis #supremum-and-infimum
754
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Find the infimum and supremum (if they exist) of $S=\{\frac{18-2n}{2n+1}: n\in\Bbb N\}$

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#calculus #supremum-and-infimum
266
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Markov Process: bounds on the exponential moment of a stopping time

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#probability-theory #expectation #markov-process #supremum-and-infimum #stopping-times
699
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Find $\inf S$ and $\sup S$ for $S=\left\{\frac{12m-n-3mn+7}{5m-2n-2mn+5}: m,n\in \Bbb N\right\}$

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#calculus #real-analysis #sequences-and-series #supremum-and-infimum
503
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Finding supremum of $\frac{x}{x+1} \cdot \sin x$

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#real-analysis #supremum-and-infimum

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