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Can we multiply values inside the supremum?

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#elementary-set-theory #proof-verification #supremum-and-infimum
224
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Proving the greatest lower bound.

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#proof-verification #real-numbers #supremum-and-infimum
94
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Properties of Supremum

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#calculus #real-analysis #supremum-and-infimum
527
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Prove that function attain its supremum and infimum

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#calculus #functions #supremum-and-infimum
454
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Stability property of Poisson equation with zero boundary values

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#ordinary-differential-equations #inequality #supremum-and-infimum
28
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Can you define supremum of a set without using upper bounds in your definition?

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#real-analysis #supremum-and-infimum #upper-lower-bounds
7.9k
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Prove that if $A$ has a maximum, then the maximum must be the supremum

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#real-analysis #analysis #proof-verification #supremum-and-infimum
206
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Interpreting the supremum

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#supremum-and-infimum #percentages
21.4k
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Simple explanation of uniform norm / sup-norm?

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#normed-spaces #supremum-and-infimum
923
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Proving the supremum of the set {$\cos (1/x)$} is 1

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#real-analysis #proof-verification #proof-writing #supremum-and-infimum
152
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Additivity of suprema

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#calculus #elementary-set-theory #supremum-and-infimum
67
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Lower and Upper Bound calculation

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#calculus #integration #supremum-and-infimum
233
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Basic question about the inequality involving supremum

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#inequality #supremum-and-infimum
72
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$f$ is a monotonic increasing function. Prove $\lim_{x\to x_{{0}^{+}}} f(x)= \inf_{x>x_0} f(x)$

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#calculus #limits #supremum-and-infimum
46
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Prove that $s=\sup A$ iff $a_{n}\rightarrow s$

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#calculus #sequences-and-series #limits #convergence-divergence #supremum-and-infimum

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