Linear Inequations
Linear Inequations - A statement is an assertion or a sentence that is either true or false, but not both. A variable is a symbol that may represent any member of a specified set called replacement set or domain of that variable. A mathematical expression is a symbolic representation for a member. ..
Linear Inequations - A statement is an assertion or a sentence that is either true or false, but not both. A variable is a symbol that may represent any member of a specified set called replacement set or domain of that variable. A mathematical expression is a symbolic representation for a member. ..Function
We consider two sets A and B. We form the Cartesian Product, we form relations. From all the relations, we can select a few which satisfy the rule that each element of the set A is related to only one element of the set B. When a relation satisfies this rule, it is called a fuction. In..
Proof:
f : A g B and is one-one and onto. \ for x A , we have an element b B such that ..
f : A g B and is one-one and onto. \ for x A , we have an element b B such that ..Arrow Diagram or Papy Graph
It is named after the mathematician George Papy. The elements of one set are placed in one circle and the elements of the other set are placed in the second circle. Arrows indicate the passing of elements of set A to set B or set B to set A. (i) A x B = {(3, 2), (3, 4), (3, 6),..
It is named after the mathematician George Papy. The elements of one set are placed in one circle and the elements of the other set are placed in the second circle. Arrows indicate the passing of elements of set A to set B or set B to set A. (i) A x B = {(3, 2), (3, 4), (3, 6),..Linear equations in two variables
An equation whose graph is a straight line is called a linear equation. (linear means straight). An equation of degree one is linear. A linear equation in two variables is of the form ax + by = c,where ..
An equation whose graph is a straight line is called a linear equation. (linear means straight). An equation of degree one is linear. A linear equation in two variables is of the form ax + by = c,where ..Bijection
Let f : A g B be a function, f is said to be a bijection if f is 1 - 1 and f is ont..
Symmetric Functions
We thus observe, without actually solving the quadratic equation (a) We can find the value of every symmetric function involving the roots of the equation in terms of the coefficients of the equation. (b) We can find a quadratic equation whose roots are any one of the following pairs of n..
We thus observe, without actually solving the quadratic equation (a) We can find the value of every symmetric function involving the roots of the equation in terms of the coefficients of the equation. (b) We can find a quadratic equation whose roots are any one of the following pairs of n..Example:
A = {1,2,3} B = {a,b} A x B = {(1,a), (1,b), (2,a), (2,b), (3,a), (3,b)} B x A = {(a,1), (a,2),(a,3),(b,1),(b,2),(b,..
Commutative law
Let * be a binary operation on the set S. * is said to be associative in S if " a, b S a * b = b ..
Limits (Contd....)
Limits at infinity: If x is a variable such that it can take any real value how much ever The two important properties of these one-sided limits that i) If the left hand limit and right hand limit of a function at a point exists, but are not equal, then we conclude that..
Limits at infinity: If x is a variable such that it can take any real value how much ever The two important properties of these one-sided limits that i) If the left hand limit and right hand limit of a function at a point exists, but are not equal, then we conclude that..See what our Users say :
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