Computer Science Rev > Set Operations > Flashcards

Set Operations Flashcards

(21 cards)

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1
Q

What is an empty set?

A

The set that contains no values.

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2
Q

What is a finite set?

A

A set where the elements can be counted using natural numbers up to a particular number.

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3
Q

What is an infinite set?

A

A set that is not finite (e.g. real, rational, irrational, integer, natural are all infinite).

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4
Q

What are countable infinite sets?

A

Sets where the elements can be put into a one-to-one correspondence with the set of natural numbers.
Real numbers are NOT countable. Rational, Natural and Integers are.

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5
Q

What is cardinality?

A

The number of elements in a set.

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6
Q

What is a subset?

A

When the elements of one set are entirely contained within another, including two identical sets.

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7
Q

What is a proper subset?

A

When one subset is entirely contained within another, and the other set has additional elements.
E.g. Naturals are a proper subset of Integers.

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8
Q

What is the symbol of a subset?

A
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9
Q

What is the symbol of a proper subset?

A
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10
Q

What is the symbol for the set operation ‘Union’?

A

U

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11
Q

What is the meaning of the set operation ‘Union’?

A

This means joining together two or more sets.

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12
Q

What would be the venn diagram example for the set operation ‘Union’?

A
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13
Q

What is the symbol for the set operation ‘Intersection’?

A
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14
Q

What is the meaning of the set operation ‘Intersection’?

A

Only the elements that appear in both sets.

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15
Q

What is the Venn diagram example for the set operation ‘Intersection’?

A
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16
Q

What is the symbol for the set operation ‘Difference’?

17
Q

What is the meaning of the set operation ‘Difference’?

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A

Elements that appear in one set only.

18
Q

What is the Venn diagram example of the set operation ‘Difference’?

19
Q

What is a Cartesian product?

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A

Combining the elements of two or more sets to create a set of ordered pairs.

20
Q

What should normal brackets be used for?

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A

They should be used around the ordered pairs.

21
Q

What should curly brackets be used for?

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A

They must surround the entire set.

Computer Science Rev
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