Mathematics is a universal science that underlies the development of modern technology and has an important role invarious disciplines. Mathematics plays an important role in alldimensions of life. Learning mathematics is to learn to think inlogical, analytical, systematic, critical and creative.

Mathematics is not difficult. Hard is relative. If you do not know it, you do not love it. For me, for friends, for students, for parents or anyone who is interested, let us learn together.

Wednesday, January 19, 2011

II. HOW TO REPRESENT A SET OF

As a symbol of a set of use curly braces {...}. Statements about members of the set were written between curly braces open and close it.

To distinguish a set with another set, a set is usually expressed (given name) with an uppercase (capital), for example: A, B, C, D,. . . , Or Z.

How do I declare or write a Set ?

There are 4 (four) way of writing to express a set:

1. By way of registering or tabulation, in particular by mentioning / write members one by one. Writing members to each other separated by a comma.

1.a. For a set with members of the limited and small. Members of the set is written all one by one.
For example:
A = {-1, -2, -3, -4, -5}
B = {January, February, March, April}

1.b. For the set with a limited member but many. Members may not be listed all. Its members are listed some of course, continue with 3 points. . . , (Mean / read and so on) and then ends with the last member.
For example:
C = {1, 2, 3, 4, 5,. . . , 69}
D = {a, b, c, d, e,. . . , z}

1.c. For sets with many members and is not limited. Members of the set is represented by some only, at least 4, and for other members who are not mentioned enough to be represented by 3 points. . . , Which means and so on.
For example:
E = {1, 2, 3, 4,. . . }
F = {Bandung, Jakarta, Semarang, Bogor. . . . }

2. Description formula, namely with mention membership requirements.
For example:
Example in 1.a above, if written in a description formula:
A = { negative interger between 0 and -6}
B = {name of first 4 months of the year AD}

3. By writing the member notation of the set.

3.a. Every object or object member is represented by a set of variables.
For example:
The set B above when written this way to be B = {a, b, c, d}. So, a representative of January, b represents February, March and d c represents a representing March.

3.b. All members of the set denoted by a notation and write "membership requirements" behind the sign "|".
For example:
If the sample 1.a. above was written this way to be:
A = {x | 0> x> - 6, x integer}
B = {x | x = name of the first 4 months of the year AD}

4. With Picture of sets. Venn Diagran
For example: Venn diagram of A = {1, 2, 3, 4, 5, 6}
Fig. 1.image

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