Whole numbers
The set of whole numbers is the set of natural numbers along with zero. so W = the set of whole numbers = 0,1,2,3,............ so Zero is the least number of the set of Whole numbers. As the whole..
Introduction
The sets of numbers which every student must remember are: The set of natural numbers, The set of whole numbers, The set of integers, The set of rational numbers, The set of irrational numbers, Set of Real Numbers..
Conclusion
We have seen the application of matrices and determinants in solving system of linear equation with three unknown variables. Matrices and determinants are also widely used in solving large system of linear equation. Some of these methods are Gauss-elimination method, Gauss-Jordan method etc. They a..
Introduction
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..
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..Binomial Theorem Summary
>Here, a and b may be any numbers. Pascal's triangle The coefficients of various terms in (a+b) n for different values of n follows the pattern given below: General term For 0 < r < n, T r+1 in the expression of (a + b) n is given by T r+1 = n C r a n-r b r . (r + 1) t h t..
>Here, a and b may be any numbers. Pascal's triangle The coefficients of various terms in (a+b) n for different values of n follows the pattern given below: General term For 0 < r < n, T r+1 in the expression of (a + b) n is given by T r+1 = n C r a n-r b r . (r + 1) t h t..Symmetric Difference of two sets
If A and B are two sets, we define their symmetric difference as the set of all elements that belong to A or to B, but not both A and B, and we denote it by A D B. Thu..
If A and B are two sets, we define their symmetric difference as the set of all elements that belong to A or to B, but not both A and B, and we denote it by A D B. Thu..Step 4:
Conclude that the result holds for all natural numbers..
Fractions
Fraction is an equal part of one whole object. Fraction can be represented as " p/q " where 'p' denotes the value called numerator and 'q' denotes the value called denominato..
Step 2:
Assume the validity of the result for n equal to some arbitrary but fixed natural number, say, ..
Arithmetic Progression (or simply A.P.)
Quantities are said to be in Arithmetic progression when they increase or decrease by a common difference..
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