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Proving every set that is bounded below has a greatest lower bound

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Is 0 the greatest lower bound for the set of all positive real numbers?

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#real-analysis #inequality #supremum-and-infimum
46
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Examples of distributions with small $\ell_\infty$ norm?

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#probability-theory #supremum-and-infimum #empirical-processes
53
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To prove that $s= \sup (A)$

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28
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Bounded subsets. what is this question asking?

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62
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Prove that for a convergent sequence $(a_n)$ of real numbers $ inf(a_n) \le \lim_{n\to \infty} a_n = a \le sup(a_n)$ (not by contradiction)

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Prove Supremum and Infimum

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101
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Problem II.3.12: Prove that $\|x-p_{F}(x)\| = \inf_{y \in F} \|x-y\|$ for an orthonormal system in an inner product space

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#proof-verification #normed-spaces #inner-products #supremum-and-infimum #orthonormal
87
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Redux: An interesting four sum inequality (feat. probability)

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#probability #inequality #contest-math #supremum-and-infimum
56
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Maximum of rational functions with same denominators

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#maxima-minima #supremum-and-infimum
283
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Find the glb and lub of the set of real numbers in $(0, 1)$ whose decimal expansion contains only $0’s$ and $1’s$

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#real-analysis #supremum-and-infimum
65
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How to deduce the sup of a function sequence $f_n$ without computing the derivative?

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#sequences-and-series #supremum-and-infimum #sequence-of-function
29
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Supremum property confirmation

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126
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A question from real analysis?

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87
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Quick question about suprema and sums

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#functions #supremum-and-infimum

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