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Why does one take $\inf ||x-a||$ for $d(x,A)$?

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#measure-theory #definition #supremum-and-infimum
405
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What is the inutition behind the Caratheodory criterion for measurable sets?

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#measure-theory #definition #lebesgue-measure #intuition #outer-measure
3k
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What does the equal sign mean in mathematics?

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#notation #definition
129
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Is 'det' a single function?

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#definition #determinant
200
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Definition of Sigma Algebra vs Algebra

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#measure-theory #definition
55
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Calculating curl, divergence, grad (fluid dynamics context)

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#definition #vector-analysis #fluid-dynamics
155
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A Question concerning the definition of Analytic functions

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#analysis #power-series #taylor-expansion #definition #analyticity
1.4k
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What does it mean for a ring to have an involution? Are there any examples?

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#linear-algebra #ring-theory #commutative-algebra #definition #involutions
79
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Does this sentence ever make sense?

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#limits #functions #definition
116
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A group, but with the binary operation undefined for some elements. What is this called?

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#abstract-algebra #group-theory #definition
2.5k
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Switching "For all $\epsilon$, there exists $\delta$, ..." to "For all $\delta$, there exists $\epsilon$, ..." in the definition of function's limit

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#real-analysis #limits #definition
76
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Why do we define topology like this?

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#general-topology #definition
77
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Understanding higher dimensions

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#linear-algebra #definition
779
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What is meant by a "triangular" system of linear equations?

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#systems-of-equations #definition
104
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Convention for definition of $n$-connectedness of spaces vs maps

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#algebraic-topology #definition #homotopy-theory

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