math set theory element

The sets of numbers which every student must remember are: The set of natural numbers N = {1, 2, 3, 4, 5, } The set of whole numbers W = {0, 1, 2, 3, 4, 5,} The set of integers Z = I = {, -3, -2, -1, 0, 1, 2, 3,} The set of rational numbers Q The ..

Sequence : A set of numbers arranged in a definite order according to some definite rule is called a sequence.A sequence is a function whose domain is the set N of natural numbers. Series : Indicated sum of the terms in a sequence is called a series. The result o..

Let X be a set of numbers and f : N n --> X be a function, then the ordered set {f(1), f(2),...., f(n)} is called a finite sequence in X...

The following are examples of a finite set. Set of stars in the universe. {x : x N x < 10 10 } {x : x I, x > 0, x is a factor of 156250..

Matrices : A rectangular array of entries is called a Matrix. The entries may be real, complex or functions. The entries are also called as the elements of the matrix. The rectangular array of entries are enclosed in an ordinary bracket or in square bracket. Determinants : ..

If A is any set,the..

If A, B, C are three sets, then..

The complex number 0 + i0 is the additive identity for the set of complex numbers. 0 + i0 is called the additive identity for the complex number. Z + (0 + i 0 ) = a + i b + (0 + i 0) = (a + 0) + i (b + 0) = a + i..

Introduction - A set of numbers arranged in a definite order according to some definite rule is called a sequence . Sequences have wide applications. For example, the amount of money in a fixed deposit in a bank, over a number of years increases in a sequenc..

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..