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Why do you get zero by squaring [-1, 1] in interval arithmetic?

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#interval-arithmetic
131
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Why if f(x) = 2x - x on [-1, 1] results in [-1, 2] in Interval Arithmetic?

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#interval-arithmetic
87
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Correctness of multiplication in ball arithmetic

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#numerical-methods #arithmetic #interval-arithmetic
55
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Proving that if $x, y$ are in an open set $S$, then there exists some $x < z < y$ where $z \in S$

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#elementary-set-theory #interval-arithmetic
25
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Refinement of Lipschitz Continuous Functions on Interval Subdivisions

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#real-analysis #analysis #lipschitz-functions #interval-arithmetic
99
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Determine the minimum value of $S=p+q$

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#fractions #interval-arithmetic
104
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Under what assumptions on f can I calculate f([a, b])?

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#real-analysis #continuity #interval-arithmetic
47
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When is the quantile function of a gamma distribution concave?

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#gamma-distribution #interval-arithmetic #quantile-function
15
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Properties of disjoint n-intervals whose finite union is n-interval

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#real-analysis #elementary-set-theory #real-numbers #dimension-theory-analysis #interval-arithmetic
159
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Show that $(a,b)+(c,d) = (a+c,b+d)$

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#interval-arithmetic
110
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Maximal distance between random variables in interval

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#random-variables #interval-arithmetic
28
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Minimum Spanning Tree - Finding X in an interval (adjustment of an arc)

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#decision-theory #interval-arithmetic
49
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A question about interval operation result in a game

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#game-theory #combinatorial-game-theory #interval-arithmetic
326
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How can I represent a function that maps to a set of intervals?

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#functions #interval-arithmetic
27
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Finding an interval on the set that is not m*-measurable.

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#measure-theory #lebesgue-measure #interval-arithmetic

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