A set is a collection of numbers or objects. Sets can be specified in two methods one is the roster method and the other is the set builder notation. In Roster method the elements enclosed in curly brackets. These are shown in brackets and a comma is utilized to separate each of these numbers. For example, a set is displayed in the following way: {1,2,3,4, 5,}. Another method is the set builder method. The same set is written as {x:x is a natural number less than 6}. The set of all x where x is a natural number and less than 6
Each object or number of the set is called the element of the set. Many operations can be done using the sets. Among them set difference is one. The difference of two sets A and B is the set of elements which belong to A but do not belong to B. It is denoted as A-B and is written by {x:xA and x B}
A sets difference of А and В ( it's written as А – В ) is a set of elements, which belong to the set A, but don't belong to the set В. This set is called also a complement of the set B relatively the set A.
We can write this the set difference of A and B as B – A . Please express your views of this topic What is a Composite Number by commenting on blog.
Subtracting a set of numbers from another involves removing all numbers that intersect between the two sets. This subtraction is also possible with the use of a calculator that has a "Set" key.
Set difference can also be represented by Venn diagram. The Venn diagram for the set difference of sets A and B is shown below where the shaded region represents A – B. and B-A
The set symmetric difference is given by ( A delta B), A ∆B = (A-B) U (B-A) Let us t ake A = {1,2,3,4,5 ) and B = {1,2,3,6,7}
(A-B) = (4,5) and (B-A) = (6,7) now A ∆ B = ( 1,2,3,4,5,7) which is nothing but the union of A-B and B-A
A cyclic difference sets : Consider a set of positive numbers ( 0, 1,2,3,4,5,6,7,8,9,11). Here take the numbers that are multiples of 2 and 3 include zero. This numerical sequence is 0, 2,3,4,6,9. Here the cds is { 0,2,3,4,6,9} which is less than n, here n is the maximum number that is 11.
Each object or number of the set is called the element of the set. Many operations can be done using the sets. Among them set difference is one. The difference of two sets A and B is the set of elements which belong to A but do not belong to B. It is denoted as A-B and is written by {x:xA and x B}
A sets difference of А and В ( it's written as А – В ) is a set of elements, which belong to the set A, but don't belong to the set В. This set is called also a complement of the set B relatively the set A.
We can write this the set difference of A and B as B – A . Please express your views of this topic What is a Composite Number by commenting on blog.
Subtracting a set of numbers from another involves removing all numbers that intersect between the two sets. This subtraction is also possible with the use of a calculator that has a "Set" key.
Set difference can also be represented by Venn diagram. The Venn diagram for the set difference of sets A and B is shown below where the shaded region represents A – B. and B-A
The set symmetric difference is given by ( A delta B), A ∆B = (A-B) U (B-A) Let us t ake A = {1,2,3,4,5 ) and B = {1,2,3,6,7}
(A-B) = (4,5) and (B-A) = (6,7) now A ∆ B = ( 1,2,3,4,5,7) which is nothing but the union of A-B and B-A
A cyclic difference sets : Consider a set of positive numbers ( 0, 1,2,3,4,5,6,7,8,9,11). Here take the numbers that are multiples of 2 and 3 include zero. This numerical sequence is 0, 2,3,4,6,9. Here the cds is { 0,2,3,4,6,9} which is less than n, here n is the maximum number that is 11.
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