Union of sets
If two sets are given, a set can be formed by using all the elements of the two sets. Such a collection is called the union of the given set..
Basic Definitions
Set - A well-defined collection of distinct objects is called a se..
Operations on Sets
Union of sets - If two sets are given, a set can be formed by using all the elements of the two sets. Such a collection is called the union of the given set..
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 se..
Real Numbers
Real Numbers - The union of the set of rational numbers and irrational numbers forms the set of real numbers. Q = {rational numbers} = {irrational numbers} Then = R = {real number..
Real Numbers - The union of the set of rational numbers and irrational numbers forms the set of real numbers. Q = {rational numbers} = {irrational numbers} Then = R = {real number..Introduction
In Mathematics, a well-defined collection of definite objects is called a set. George Cantor is regarded as the "Father of Set theory". The concept of "Sets" is basic in all branches of mathematics. It has proved to be of particular importance in the foundations of relations and..
Introduction
In Mathematics, a well-defined collection of definite objects is called a set. George Cantor is regarded as the "Father of Set theory". The concept of "Sets" is basic in all branches of mathematic..
Rational and Irrational Numbers
The rational numbers can be expressed as terminating or recurring decimals. Numbers which are not rational are called irrational numbers . When expressed as decimals, they are non-terminating and non-recurring. We can obtain infinite number of irrationals between two irrational numb..
Summary
A set A is said to be a proper subset of set B if A is a subset of B and A is not equal to B. If A is a proper subset of B, then we write A B. In order to show that A B it is sufficient to show that each element of A is in B and there is at least one element in B, which is not in A. Set Operations ..
A set A is said to be a proper subset of set B if A is a subset of B and A is not equal to B. If A is a proper subset of B, then we write A B. In order to show that A B it is sufficient to show that each element of A is in B and there is at least one element in B, which is not in A. Set Operations ..Molecular Orbital Theory
Molecular orbital theory was proposed by F. Hund and R.S. Mulliken in 1932. The basic idea of molecular orbital theory is that atomic orbitals of individual atoms combine to form molecular orbitals. The electrons in molecules are present in the molecular orbitals..
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