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Find the supremeum and infimum, and is the set compact?

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#real-analysis #general-topology #compactness #supremum-and-infimum
239
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Inequality with floor function supremum infimum

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#inequality #supremum-and-infimum #ceiling-and-floor-functions
53
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Existence of infimum of partially ordered subsets

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#order-theory #supremum-and-infimum
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Supremum of Unions

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#analysis #supremum-and-infimum
448
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Is there a proof of axiom supremum for real number?

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#real-analysis #supremum-and-infimum
115
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Confusion with a proof of Intermediate Value Theorem

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#real-analysis #continuity #proof-explanation #supremum-and-infimum
671
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Show that the $\sup S=1/2$ where $S= \{(-1)^n/n : n \in \mathbb{N} \}$

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#real-analysis #supremum-and-infimum #upper-lower-bounds
230
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$S_1 = [ |a -b| : a \in A , b \in B]$ What is the infimum and supremum of this set?

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#real-analysis #supremum-and-infimum
554
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Showing supremum of set $S = \{1 - \frac{1}{2n}\ |\ n \in \mathbb{N} \}$

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#real-analysis #proof-verification #supremum-and-infimum
587
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Find the supremum and infimum of $A=\{x\in \mathbb{Q}: 4<x^2\leq7\}$

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#real-analysis #supremum-and-infimum #upper-lower-bounds
139
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Sup and Well-ordered

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#set-theory #supremum-and-infimum
52
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Is it true to write $|\sum_{i=1}^N q_i x_i|\leq \sup_i|x_i|$?

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#summation #absolute-value #supremum-and-infimum
109
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Construct a countably infinite subset A of $\mathbb{R}$ such that sup($A$)$\in A$ and inf($A$)$\notin A$

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#real-analysis #supremum-and-infimum
305
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Proving that the supremum is irrational

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#real-analysis #supremum-and-infimum
434
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Use the Archimedean Property of R and the definition of the infinum to prove...

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#real-analysis #supremum-and-infimum

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