Discrete Structure:Cs (1st Lesson | pt. 2) Flashcards

1
Q

a collection of elements

A

{ } Set

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2
Q

in A or B (or both)

A

A ∪ B Union

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3
Q

in both A and B

A

A ∩ B Intersection:

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4
Q

every element of A is in B.

A

A ⊆ B Subset:

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5
Q

every element of A is in B,but B has more elements.

A

A ⊂ B Proper Subset:

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6
Q

A is not a subset of B

A

A ⊄ B Not a Subset:

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7
Q

A has same elements as B, or more

A

A ⊇ B Superset

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8
Q

A has B’s elements and more

A

A ⊃ B Proper Superset:

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9
Q

A is not a superset of B

A

A ⊅ B Not a Superset:

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10
Q

elements not in A

A

A’ Complement:

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11
Q

in A but not in B

A

A − B Difference or A \ B

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12
Q

a is in A

A

a ∈ A Element of:

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13
Q

b is not in A

A

b ∉ A Not element of:

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14
Q

{}

A

Ø Empty set =

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15
Q

set of all possible values(in the area of interest)

A

U Universal Set:

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16
Q

all subsets of A

A

P(A) Power Set:

17
Q

both sets have the same members

A

A = B Equality:

18
Q

(set of ordered pairs from A and B)

A

A×B Cartesian Product

19
Q

the number of elements of set A

A

|A| Cardinality:

20
Q

Such that

A

| or :

or :

21
Q

For All

A

22
Q

There Exists

A

23
Q

Therefore

A

24
Q

Divisible by

A

25
Q

All Positive integers and 0

A

N natural number

26
Q

Numbers that are not a fraction

A

Z integers

27
Q

Any fraction with non zero denominators

A

Q rational numbers

28
Q

Include rational numbers like positive and negative integers, fraction, and irrational numbers

A

R: real numbers