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Absolute Value inequality Equivalence relation

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#discrete-mathematics #solution-verification #equivalence-relations
89
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Identify the equivalence relation on a set

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#discrete-mathematics #elementary-set-theory #graph-theory #equivalence-relations
56
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Discrete mathematics show anisymmetry

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#discrete-mathematics #relations #equivalence-relations
68
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Show that $\mathbb{R}|_{\sim}$ is uncountable for $\sim (x, y) : y - x \in \mathbb{Q}$

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#elementary-set-theory #equivalence-relations
88
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Relation Equivalence of $R \subseteq \mathbb Z\times \mathbb Z$

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#equivalence-relations
122
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Is it true ZF can't prove there is a choice function on the Turing degrees?

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#set-theory #equivalence-relations #axiom-of-choice #descriptive-set-theory #large-cardinals
293
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Symmetric difference and equivalence relation

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#equivalence-relations
301
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Is this a relation of equivalence? $R := \{(x,y) \in \mathbb{R} \times \mathbb{R} ; \sin(x)=\sin(y)\}$

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#trigonometry #solution-verification #equivalence-relations
186
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Composition of equivalence relations and quotient set

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#elementary-number-theory #relations #equivalence-relations #quotient-set
441
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Notation for set of equivalence classes

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#notation #equivalence-relations
54
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Why is this not a equivalence relation in the $\mathbb{Z}$ set?

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#equivalence-relations
75
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Can the quotient set of a permutation equivalence relation be a vector space again?

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#abstract-algebra #permutations #equivalence-relations #quotient-spaces
40
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Relations on Sets

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#logic #relations #order-theory #equivalence-relations
94
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Quotients in Topology vs. Quotients in Algebra

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#general-topology #algebraic-topology #soft-question #equivalence-relations
200
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Lebesgue outer measure and complete metric space

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#real-analysis #lebesgue-measure #equivalence-relations #cauchy-sequences #complete-spaces

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