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Jensen's inequality with supremum

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Supremum and infimum of a stochastic process

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Distribution of $\max_{t \in [0,1]} |W_t|$ for Brownian motion

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Prove every $S\subseteq R$ with a LB has a GLB.

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#real-analysis #supremum-and-infimum
136
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Prove inequality for infimum of expected values

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84
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question on the meaning of supremum

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28
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How to obtain the boundedness of $\{a_{n}\}_{n}$

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89
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Supremum of arc lengths of graphs of power towers

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19
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Is this an equivalent way of writing supremum

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#supremum-and-infimum
98
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Supremum vs. Infimum

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#real-analysis #supremum-and-infimum
325
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To prove $\sup B = \inf A$

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#real-analysis #proof-writing #self-learning #supremum-and-infimum
49
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Can $\sup\{\| x_1 - x_2 \| : x_1,x_2\in X, \|x_1+x_2\| = 2, \|x_1\| = \|x_2\| = 1\} = 0?$

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#real-analysis #calculus #functional-analysis #supremum-and-infimum
512
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Supremum of expectation equals expectation of supremum?

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#conditional-expectation #supremum-and-infimum #expected-value
249
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Question about norms and seminorms

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#functional-analysis #normed-spaces #supremum-and-infimum
54
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Can't finish this proof about supremums :(

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#real-analysis #proof-explanation #supremum-and-infimum

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