Consecutive integers
They are integers that differ from each other by one, e.g., 8, 9, 10 are consecutive integers, also 180, 179, 178, 177 are consecutive integers..
Number Theory
Scientific Notation - Notation of large number in terms of exponential form, 10 raised to required value. It is also a standart notation representation as " p x 10 q ". where 'p' and 'q' are any integers..
Commensurable and incommensurable quantities
Two quantities are said to be commensurable if their ratio can be expressed as the ratio of two integers..
Commensurable and incommensurable quantities
Two quantities are said to be commensurable if their ratio can be expressed as the ratio of two integers. Other wise it is incommensurabl..
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, Consecut..
Part I:
When 'n' is any integer, positive or negative then ..
When 'n' is any integer, positive or negative then ..Indices and Laws of Indices
Introduction - If m is a positive integer, a x a x a . m times is written as a m . a is called the base and m is the power. We read it as "a raised to the power m". The power is also called "the index" or "the exponent..
De Moivre's Theorem
De Moivre's formula, named after Abraham de Moivre, states that for any complex number (and, in particular, for any real number) x and any integer n it holds that The formula is important because it connects complex numbers (i stands for the imaginary..
De Moivre's formula, named after Abraham de Moivre, states that for any complex number (and, in particular, for any real number) x and any integer n it holds that The formula is important because it connects complex numbers (i stands for the imaginary..Introduction
The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathematical Induction is a princ..
Examples:
i) A sequence of multiples of 5 5, 10, 15, 20, ii) A sequence of reciprocals of positive integers The above two sequences are clearly the infinite sequence..
i) A sequence of multiples of 5 5, 10, 15, 20, ii) A sequence of reciprocals of positive integers The above two sequences are clearly the infinite sequence..See what our Users say :
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