List questions from relations

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Metric-like families of relations

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Symmetric and Transitive closures

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Why are these relations not posets?

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Show that there is exactly one maximal element in a poset with a greatest element?

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Notation of a function that maps a random element

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State whether or not the relation on the set of reals is reflexive, symmetric, antisymmetric or transitive

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Relations on a set.

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Is the empty set a relation?

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What are some concrete examples of kinds of relations in math?

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Let $R$ be the relation on $\mathbb Z^+ \times \mathbb Z^+$ such that $(a, b)R(c, d)$ if $gcd(a, b) = gcd(c, d)$?

Published on 28 Nov 2013 - 6:11

162

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Give proofs by induction for the following relation properties.

Published on 28 Nov 2013 - 6:32

List Question

Variable weight according to distance.

Metric-like families of relations

Symmetric and Transitive closures

Why are these relations not posets?

Show that there is exactly one maximal element in a poset with a greatest element?

Is statistical dependence transitive?

Notation of a function that maps a random element

State whether or not the relation on the set of reals is reflexive, symmetric, antisymmetric or transitive

Relations on a set.

Is the empty set a relation?

How do you find the power set within a power set?

Finding Powers of Relations

What are some concrete examples of kinds of relations in math?

Let $R$ be the relation on $\mathbb Z^+ \times \mathbb Z^+$ such that $(a, b)R(c, d)$ if $gcd(a, b) = gcd(c, d)$?

Give proofs by induction for the following relation properties.

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