Relations Mastery Quiz

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Quiz on relations: types, closure, and diagrams

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Rupali Shishupal

India

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Froggy Jumps Relations Mastery QuizVersión en línea Quiz on relations: types, closure, and diagrams por Rupali Shishupal 1 What is a relation on a set A? a A subset of A × A b A binary operation on A c A function from A to A 2 What does the reflexive property require for all a in A? a (a, a) ∉ R for any a b (a, b) ∈ R for all a ≠ b c (a, a) ∈ R 3 Antisymmetry means: a If (a, b) ∈ R and (b, a) ∈ R then a = b b If a ≠ b then (a, b) ∉ R c If (a, b) ∈ R then (b, a) ∈ R 4 An equivalence relation must be: a Reflexive, symmetric, and transitive b Anti-reflexive and antisymmetric c Only transitive and symmetric 5 What is the transitive closure of a relation R? a The largest relation contained in R b The inverse of R c The smallest transitive relation containing R 6 Warshall’s algorithm computes what for a relation? a Antisymmetric closure from a matrix b Reflexive closure from a matrix c Transitive closure from an adjacency matrix 7 A partial order relation is characterized by: a Reflexive, antisymmetric, and transitive b Irreflexive and symmetric c Symmetric and total 8 What do Hasse diagrams depict? a Equivalence classes of a relation b All relations on a set c Partial orders using cover relations 9 An equivalence relation on a set partitions the set into: a Equivalence classes b Disjoint ordered pairs c Singletons only 10 A relation is symmetric if: a Whenever (a,b) ∈ R, then (b,a) ∈ R b If (a,b) ∈ R then (a,a) ∈ R c Whenever (a,b) ∈ R, then a = b

Froggy Jumps

Relations Mastery QuizVersión en línea

Quiz on relations: types, closure, and diagrams

por Rupali Shishupal

What is a relation on a set A?

A subset of A × A

A binary operation on A

A function from A to A

What does the reflexive property require for all a in A?

(a, a) ∉ R for any a

(a, b) ∈ R for all a ≠ b

(a, a) ∈ R

Antisymmetry means:

If (a, b) ∈ R and (b, a) ∈ R then a = b

If a ≠ b then (a, b) ∉ R

If (a, b) ∈ R then (b, a) ∈ R

An equivalence relation must be:

Reflexive, symmetric, and transitive

Anti-reflexive and antisymmetric

Only transitive and symmetric

What is the transitive closure of a relation R?

The largest relation contained in R

The inverse of R

The smallest transitive relation containing R

Warshall’s algorithm computes what for a relation?

Antisymmetric closure from a matrix

Reflexive closure from a matrix

Transitive closure from an adjacency matrix

A partial order relation is characterized by:

Reflexive, antisymmetric, and transitive

Irreflexive and symmetric

Symmetric and total

What do Hasse diagrams depict?

Equivalence classes of a relation

All relations on a set

Partial orders using cover relations

An equivalence relation on a set partitions the set into:

Equivalence classes

Disjoint ordered pairs

Singletons only

A relation is symmetric if:

Whenever (a,b) ∈ R, then (b,a) ∈ R

If (a,b) ∈ R then (a,a) ∈ R

Whenever (a,b) ∈ R, then a = b

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Relations Mastery Quiz

Froggy Jumps

Sobre esta actividad

Creada por

Descarga la versión para jugar en papel

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Relations Mastery QuizVersión en línea

por Rupali Shishupal

What is a relation on a set A?

What does the reflexive property require for all a in A?

Antisymmetry means:

An equivalence relation must be:

What is the transitive closure of a relation R?

Warshall’s algorithm computes what for a relation?

A partial order relation is characterized by:

What do Hasse diagrams depict?

An equivalence relation on a set partitions the set into:

A relation is symmetric if: