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Equivalence relation on not equal sets

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#equivalence-relations
1.6k
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On 1-1 correspondence and equivalence relation

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#real-analysis #equivalence-relations
256
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Equivalence Class and Cauchy

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#real-numbers #equivalence-relations #cauchy-sequences
182
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Given the relation show its well defined and an equivalence relation.

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#equivalence-relations
324
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Multiplicative inverses in the integers modulo n

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#abstract-algebra #prime-numbers #equivalence-relations
837
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Show that $d$ is equivalent to the usual metric on $\mathbb{N}$ but that $(\mathbb{N},d)$ is not complete.

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#real-analysis #metric-spaces #equivalence-relations #equivalent-metrics
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Homotopy is an equivalence relation on the set of all loops on X.

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#equivalence-relations
103
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Let $k ∈ N0$ be a fixed non-negative integer.

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#relations #equivalence-relations
52
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question regarding partitions of set by equivalence relation

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#abstract-algebra #equivalence-relations
358
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How do isomorphisms determine equivalence relations on the class of all groups?

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#abstract-algebra #group-theory #equivalence-relations #group-isomorphism
260
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Assume $m$ divides $n$. Show for any integer $a$, $[a]_m$ is the union of $[a]_n, [a+m]_n, [a+2m]_n,..., [a+(n-m)]_n$

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#elementary-number-theory #divisibility #congruences #equivalence-relations
77
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Proof that "$f$ injective" and "$f$ possesses a recipracal" are equivalent

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#functions #proof-verification #equivalence-relations #alternative-proof
72
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Bijective application

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#linear-algebra #functions #proof-verification #problem-solving #equivalence-relations
1.1k
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Is Love $\subseteq$ Person $\times$ Person an equivalence relation, partial order or total order?

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#relations #order-theory #predicate-logic #equivalence-relations
222
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Let $S = \{1, 2, 3\}$. Select all those that give equivalence relations on $S$.

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#equivalence-relations

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