Number System & Set Theory
- 2. Kazi Md.Nasir Uddin Assistant Professor Department of AIS Faculty Of Business Studies Jagannath University,Dhaka
- 3. Presented By Md.Rubel Islam Merit:527 Section:B,Batch:12th Section:2016-17 Department of AIS Jagannath University,Dhaka
- 4. “Business mathematics is a very powerful tool and analytical process that results in and offers an optimal solution , in spite of its limitations”
- 5. What is set? A set is collection of well-defined and well distinguished objects. From a set it is possible to tell weather a given belongs to a set or not. For example, the items you wear: shoes, socks, hat, shirt, pants, and so on.
- 6. Finite set When the elements of a set can be counted by a finite number of elements then the set is called finite set. Example:A={1,2,3,4,5,6} B={1,2,3,4,5……,500} Infinite Set If the elements of a set cannot be counted by a finite number , the set is called infinite set. Example:A={1,2,3…..} B={x| x is an odd number} Singleton Set A set containing only one element. Example: A={1} Empty set Which has no element Example: The set of people who have travelled from the earth to the sun is an empty set.
- 7. Equal Set Two sets A & B ,if every element of A is also an element of B ,and every element of B also in an element A. Example: A={3,5,9} B={9,5,3} Power Set From a set containing n elements 2n subset can be formed.The set consisting of these 2n subsets is called a power set. Example: A={a,b,c},2n=23=8. Empty set Which has no element Example: The set of people who have travelled from the earth to the sun is an empty set. Subset If every element of set A is also an element of a set B then set A is called subset of B.
- 8. Equivalent Set If the elements of one set can be put in to one to one correspondence with the elements of another set , the the two sets are called equivalent. Example: A={a,b,c,d} B={1,2,3,4} Proper subset If B is a proper subset of A , then all elements of B are in A but A contains at least one element that is not in B . Venn Diagram A venn diagram is a pictorial representation. It was named after English logician John Venn.