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Can we apply the Fundamental theorem of integration on $f(x)=\frac{1}{x}$

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#integration #definite-integrals #cauchy-principal-value #interval-arithmetic
746
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Expressing absolute value intervals in terms of inequalities

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#calculus #inequality #absolute-value #regular-expressions #interval-arithmetic
34
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Check the interval

Published on
#algebra-precalculus #interval-arithmetic
207
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Find the function to show two intervals are equivalent

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#functions #equivalence-relations #interval-arithmetic
95
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How can I find the arc length of some interval on this parametric object?

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#multivariable-calculus #arc-length #stereographic-projections #interval-arithmetic
224
Views

Length of symmetric difference of two intervals.

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#real-analysis #interval-arithmetic
131
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Defining an interval as a subset of the naturals

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#elementary-set-theory #notation #interval-arithmetic
70
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Equivalent definition for an open interval around a point in $\mathbb{R}$

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#real-analysis #real-numbers #interval-arithmetic
99
Views

Confused about interval notation

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#real-analysis #calculus #interval-arithmetic
177
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Constant function if the derivative is null

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#functions #derivatives #constants #interval-arithmetic
18
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When given an interval and asked to operate on it do we consider intersection or union?

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#interval-arithmetic
34
Views

Let `x` be a real number between two values, let `y` be a real number between two other values. What's the range of `x/y`?

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#interval-arithmetic
50
Views

Show/"sketch" which area f is strictly positive.

Published on
#real-analysis #3d #differential #monotone-functions #interval-arithmetic
74
Views

Evaluating sets and interval union, intersection and exclusion

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#interval-arithmetic
877
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Show that $\mathbb{R}$ and the open interval $(-1, 1)$ have the same cardinality.

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#functions #real-numbers #cardinals #interval-arithmetic

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