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Complement of a set
Let U be a universal set, A be any subset of U, then the elements of U which are not in A i.e., U - A is the complement of A w.r.t. U is written as A' = U - A = A c ..
Study the following examples
1. The numbers 2, 3, 5 and 8. 2. The solutions of the equation x 2 - 2x - 15 = 0. 3. The letters of the word "Chase". 4. People living in our locality. 5. The students Mary, Hillary, Catherine. 6. The workers who are absent from the factory. 7. The capital cities of Asia. 8. The positive even int..
Operations on Sets
The Operations on Sets are: Union of sets, Intersection of sets, Disjoint sets, Difference of two sets (Relative complement), Symmetric Difference of two sets, Complement of a set..
Sets Summary
>- The difference of two sets A and B, in this order, is the set of all those elements of A which are not in B. - The symmetric difference of two sets A and B is defined as the union of the sets A - B and B - A. Important results If A is a subset of universal..
To find the average height of an oak tree, a set of full grown oak tre..
To find the average height of an oak tree, a set of full grown oak trees from a forest were identified and their heights measured. Which of the following statements is true? => The set of full grown oak trees from a forest represent the population for this study or The..
Genomics
Genomics is the study of genomes and genes based on DNA sequencing. Genome is the total gene complement of a haploid set of chromosomes and inherited as a unit from one parent. A genome has a specific organisation and it can be artificially modified by introducing fore..
Alternate Definition:
Difference of two sets A and B, A - B is a set whose elements belong to A but not to B. A - B is called the relative complement of B w.r.t. ..
Introduction
Let us examine closely the following sets of compounds and study their properties in terms of their physical state, melting points and boiling poin..
Example:
Consider the experiment of throwing a die. 2) Compound Event: If an event has more than one sample points, the event is called a compound event . In the above example, of throwing a die, {1, 4} is a compound event. 3) Null Event ( f ): As null set is a subset of S, it is also an ev..
Discrete Mathematics
- Discrete Mathematics, also called finite Mathematics or Decision Mathematics, is the study of Mathematical structures that are fundamentally discrete in the sense of not supporting or requiring the notion of continuity. Objects studied in finite Mathematics are largely countab..
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