What is the Difference Between Set and Sequence
What is the Difference Between Set and Sequence .
Sets:
The symbols ∈ and ∉denote set membership and non membership, respectively.example: 9 ∈ {9,11,37}and 2∉ {9,11,37}
Subset: A ⊆ B , Every element of A is an element of B.
Proper Subset: If A is a subset of B and not equal to B.
Multi set: {7} and {7,7} are different as multi sets but identical as sets.
Infinite set: natural numbers N ={1,2,3,m} and integers Z={
m ,-2,-1,0,1,2,},
contains infinitely many elements.
Empty set: Set with 0 members, written as Ø.
{n rule about n}: A set containing elements according to some rule.
={n n = m2 for some m ∈ N}means the set of perfect squares.
Cardinality of a set: the number of elements in it. Set Operations:
Compliment: A , is the set of all elements under consideration that are not in A.
Sequence :
Sequence: a list of object in some order
(9,11,37) is a sequence of 9, 11, and 37
Order matters, so (9,11,37) is not the same as (11,9,37).
Repetition is allowed, so (9,11,37) is not the same as (9,11,9,37).
Tuple: Finite sequence.
K-Tuple: A sequence with
Pair: A 2-tuple is called a k elements.
No comments