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Properties of equivalence relation

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#equivalence-relations
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Meaning of $\,r\bmod 1?\ $ [circle group $\Bbb R/\Bbb Z = $ reals $\!\bmod 1$]

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#group-theory #equivalence-relations
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$aRb$ iff $a+3b$ is multiple of $4$

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#equivalence-relations #binary
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Problem with proving that relation is congruent.

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#logic #equivalence-relations #filters #congruence-relations
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Proof of transitivity for equivalence relation

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#relations #equivalence-relations
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Bijection from $\mathbb{N}$ to set of equivalence class

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#relations #equivalence-relations
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What is the equivalence relation on the Set $A=\{1,2,3,4,5\}$

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#elementary-set-theory #relations #equivalence-relations #set-partition
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Equivalence relations and partition exercise

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#equivalence-relations #set-partition
135
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Union of equivalence classes

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#discrete-mathematics #elementary-set-theory #relations #equivalence-relations
33
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Independence of choice of represepresentatives, Filter,Reduced product

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#set-theory #relations #equivalence-relations #filters #binary-operations
173
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Injective homomorphism from $\mathbb Z/q \mathbb Z$ to $\text{Aut}(\mathbb Z/p \mathbb Z)$

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#group-theory #examples-counterexamples #equivalence-relations #group-homomorphism
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Given is relation $R$. Create a digraph for equivalence relation

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#discrete-mathematics #elementary-set-theory #relations #equivalence-relations
90
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The intervals of real numbers (−∞;0[ , [0;+∞) constitute equivalence classes on ℝ. True or false?

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#equivalence-relations
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Determining equivalence class of relations

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#equivalence-relations
205
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Determine the equivalence relation and the transversal of the quotient set of a function

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#functions #equivalence-relations

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