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Is my proof that $\inf A=-\sup (-A)$ correct?

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#real-analysis #supremum-and-infimum
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On the definition of Scott Continuity

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Supremum of all y-coordinates of the Mandelbrot set

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#fractals #chaos-theory #supremum-and-infimum #complex-dynamics
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Infimum and supremum of the set of all numbers whose square is greater than 2

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211
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Finding the convergence radius of a power series

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#limits #convergence-divergence #power-series #supremum-and-infimum
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Infimum of a set with two variables

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#analysis #supremum-and-infimum
76
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A question regarding supremum of bounded sets.

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#elementary-set-theory #supremum-and-infimum
222
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Property of limit inferior for continuous functions

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#real-analysis #limits #supremum-and-infimum
133
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Property of limit inferior for continuous functions (second part)

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#real-analysis #supremum-and-infimum
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How to show $-\sup(-A)=\inf(A)$?

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#real-analysis #supremum-and-infimum
304
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Infimum and supremum problems

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#calculus #supremum-and-infimum
50
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show that $\inf \{x_n+y_n:n>N\}\ge \inf \{x_n:n>N\}+\inf \{y_n:n>N\}$

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#real-analysis #supremum-and-infimum
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Supremum of measurable functions

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#measure-theory #supremum-and-infimum
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Comparing the Sup and Inf of Two Functions

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315
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find sup(A) and inf(A) of set A

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#calculus #supremum-and-infimum

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