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Fundamental maths definitions

Daniel de Burgo 12 questions

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Questions in this quiz (12)

  1. 1What is the definition of injective?
    1. AIf f(a) = f(b) then a = b
    2. BFor every element b in the codomain there is an element a in the domain, a, where f(a) = b
    3. CIf f(a) = f(b) then a = b and For every element b in the codomain there is an element a in the domain, a, where f(a) = b
  2. 2What is the definition of surjective?
    1. AIf f(a) = f(b) then a = b
    2. BFor every element b in the codomain there is an element a in the domain, a, where f(a) = b
    3. CFor every element b in the codomain there is an element a in the domain, a, where f(a) = b and If f(a) = f(b) then a = b
  3. 3What is the definition of bijective?
    1. AIf f(a) = f(b) then a = b
    2. BIf f(a) = f(b) then a = b and For every element b in the codomain there is an element a in the domain, a, where f(a) = b
    3. CFor every element b in the codomain there is an element a in the domain, a, where f(a) = b
  4. 4What is the definition of reflexive?
    1. A(a, a) is in R for all a in A.
    2. BIf (a, b) in R then (b, a) in R for all a,b in A.
    3. CIf (a, b) in R and (b, a) in R, then b = a for all a, b in A.
    4. DIf (a, b) in R and (b, c) in R then (a, c) in R for all a, b, c, in A.
    5. E(a, b) in R or (b, a) in R for all a, b in A.
  5. 5What is the definition of symmetric?
    1. A(a, b) in R or (b, a) in R for all a, b in A.
    2. BIf (a, b) in R and (b, a) in R, then b = a for all a, b in A.
    3. CIf (a, b) in R then (b, a) in R for all a,b in A.
    4. D(a, a) is in R for all a in A.
    5. EIf (a, b) in R and (b, c) in R then (a, c) in R for all a, b, c, in A.
  6. 6What is the definition of antisymmetric?
    1. AIf (a, b) in R and (b, c) in R then (a, c) in R for all a, b, c, in A.
    2. B(a, b) in R or (b, a) in R for all a, b in A.
    3. C(a, a) is in R for all a in A.
    4. DIf (a, b) in R then (b, a) in R for all a,b in A.
    5. EIf (a, b) in R and (b, a) in R, then b = a for all a, b in A.
  7. 7What is the definition of transitive?
    1. A(a, b) in R or (b, a) in R for all a, b in A.
    2. BIf (a, b) in R and (b, a) in R, then b = a for all a, b in A.
    3. CIf (a, b) in R then (b, a) in R for all a,b in A.
    4. DIf (a, b) in R and (b, c) in R then (a, c) in R for all a, b, c, in A.
    5. E(a, a) is in R for all a in A.
  8. 8What is the definition of total?
    1. A(a, b) in R or (b, a) in R for all a, b in A.
    2. BIf (a, b) in R and (b, c) in R then (a, c) in R for all a, b, c, in A.
    3. CIf (a, b) in R and (b, a) in R, then b = a for all a, b in A.
    4. DIf (a, b) in R then (b, a) in R for all a,b in A.
    5. E(a, a) is in R for all a in A.
  9. 9What is the definition of an equivalence relation?
    1. AReflexive, transitive and symmetric
    2. BReflexive and transitive
    3. CReflexive, transitive and antisymmetric
    4. DReflexive, transitive, antisymmetric and total
  10. 10What is the definition of preorder
    1. AReflexive, transitive, antisymmetric and total
    2. BReflexive, transitive and symmetric
    3. CReflexive and transitive
    4. DReflexive, transitive and antisymmetric

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Quiz on Fundamental maths definitions, created by Daniel de Burgo on 15/12/2017.
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