set theory


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Venn Diagrams [Euler-Venn Diagrams]
A Venn diagram is a pictorial representation of sets by set of points in the plane. The universal set U is represented pictorially by interior of a rectangle and the other sets are represented by closed figures viz circles or ellipses or small rectangles or s..
Example:
A set containing 2,3,5,7,8 is Written as {2,3,5,7,8} in Roster metho..
Summary
A well-defined collection of definite objects is called a set. In roster method of representing a set, all the elements are listed in the set. In property method of representing a set, all the elements are represented by stating all the properties which are sat..
Sequences and Series
Sequence : A set of numbers arranged in a definite order according to some definite rule is called a sequence.A sequence is a function whose domain is the set N of natural numbers. Series : Indicated sum of the terms in a sequence is called a series. The result o..
Sequences and Series
A set of numbers arranged in a definite order according to some definite rule is called a sequence. A sequence is a function whose domain is the set N of natural numbers. Indicated sum of the terms in a sequence is called a series. The result of performing the additi..
Definition:
Intersection of two sets A and B is a set whose elements belong to both A and B. ..
Examples :
The following are examples of a finite set. Set of stars in the universe. {x : x N x < 10 10 } {x : x I, x > 0, x is a factor of 156250..
Venn Diagrams [Euler-Venn Diagrams]
Venn Diagrams [Euler-Venn Diagrams] - A Venn diagram is a pictorial representation of sets by set of points in the plane. The universal set U is represented pictorially by interior of a rectangle and the other sets are represented by closed figures viz circle..
Definition:
Union of two sets A and B is the set of all elements which are in A, or in B, or both in A and B. In Set builder form,..
Introduction
A set of numbers arranged in a definite order according to some definite rule is called a sequence . Sequences have wide applications. For example, the amount of money in a fixed deposit in a bank, over a number of years increases in a sequenc..
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