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Does the intersection of two subsets (with a maximum) necessarily have a maximum too?

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#analysis #supremum-and-infimum
29
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Find the Infimum and supremum of M set

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#supremum-and-infimum
25
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Must then A ∩ B also have a maximum?

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#maxima-minima #supremum-and-infimum
115
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On Suprema and limits

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#real-analysis #continuity #solution-verification #supremum-and-infimum
123
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$A,B$ subsets of a metric space, subset $ U=\{x\in X: d(x,A) < d(x,B) \}$ is open.

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#general-topology #metric-spaces #supremum-and-infimum
224
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Supremum of a bounded sequence is accumulation point.

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#real-analysis #calculus #limits #supremum-and-infimum
25
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Mathematical Formulation - No number less than Supremum M can be an upper bound

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#real-analysis #general-topology #supremum-and-infimum #upper-lower-bounds
456
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Completeness property of R

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#real-analysis #general-topology #real-numbers #supremum-and-infimum #upper-lower-bounds
18
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Is $ \sup\{|a|^4+|a\overline{b}|^2;\;(a,b) \in \mathbb{C}^2\;\;\hbox{and}\;|a|^2+|b|^2=1\}<1$?

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#complex-numbers #supremum-and-infimum
760
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Proving that the least upper bound of is less than or equal to the greatest lower bound of B

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#real-analysis #supremum-and-infimum
75
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Finding the supremum of a product of the difference between complex number of modulus one.

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#complex-numbers #supremum-and-infimum #products
55
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Claim of convexity of unitaries with $\|U\|_\infty \leq 1$ for a minimax theorem

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#linear-algebra #matrices #convex-analysis #supremum-and-infimum #unitary-matrices
92
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Prove or give a counterexample of limsup and liminf

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#sequences-and-series #supremum-and-infimum #limsup-and-liminf
42
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Proving that $\inf\{U(f,P)\}=\inf\{U(f,P\cup\{c\})\}$

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#real-analysis #supremum-and-infimum
83
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Infimum in a Sequence

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#sequences-and-series #limits #supremum-and-infimum

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