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Relationship between infimum and supremum and closed sets

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#real-analysis #supremum-and-infimum
430
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Let $S$ be a non-empty set of positive real numbers,and define $S^{-1} = \{\frac1x | \ \ x\in S\}$.

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#real-analysis #supremum-and-infimum
75
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Consider an entire function $f$. What can be said about $\inf_{z\in\mathbb{C}}|f(z)|$?

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#complex-analysis #solution-verification #supremum-and-infimum #entire-functions
25
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Solution verification : infimum of $\{x(\alpha-x)~|~x\in(0,1) \}$

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#real-analysis #solution-verification #supremum-and-infimum
76
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Finding: $\inf S,\sup S,x\in\left(-2,-\frac{1}{2}\right),\;n\in\Bbb N$

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#real-analysis #solution-verification #supremum-and-infimum
69
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Monotonic Functions

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#real-analysis #supremum-and-infimum #monotone-functions
310
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Determine if the Supremum or Infimum is realised

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#analysis #supremum-and-infimum
288
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Analysis, supB < supA proof question.

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#analysis #proof-writing #supremum-and-infimum
119
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Is there a word for "the object of the infimum" (i.e., what the integrand is to an integral)

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#notation #terminology #supremum-and-infimum
52
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What is the inf and sup for the sets?

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#real-analysis #calculus #supremum-and-infimum
167
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Rudin Functional Analysis regarding the Minkowski functional

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#real-analysis #functional-analysis #inequality #supremum-and-infimum
53
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Find $\sup$ and $\inf$ of $\left\{\log_2\frac{10mn}{(2m+5n)^2}:m,n\in\mathbb N\right\}$

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#real-analysis #calculus #limits #solution-verification #supremum-and-infimum
832
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Similarity and difference between least upper bound/greatest lower bound, maximal/minimal, maximum/minimum

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#maxima-minima #supremum-and-infimum
109
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Integral inequality with supremum

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#integration #inequality #supremum-and-infimum #estimation
544
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Infimum of rational numbers

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#real-analysis #supremum-and-infimum

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