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..Irrational Numbers
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 numbers..
Rational and Irrational Numbers Introduction
forms the set of real numbers (ii..
forms the set of real numbers (ii..Questions on Number theory
Question 1 - Question: Define an even number. Answer: A number which is divisible by 2 is called an even number..
Polar form of a Complex number
z = r{cos q +isin q } is called the polar form of the complex number. x + iy (which is in the cartesian form) where is called the modulus of the complex number z denoted by |z| and q = tan -1 y/x is called the amplitude or argument..
z = r{cos q +isin q } is called the polar form of the complex number. x + iy (which is in the cartesian form) where is called the modulus of the complex number z denoted by |z| and q = tan -1 y/x is called the amplitude or argument..To represent an irrational number on the number line
can be represented on the number line. (i) For every real number, there is a corresponding point on the number line. (ii) For every point on the number line, there exists a real number. Express with rational denominator. Expre..
can be represented on the number line. (i) For every real number, there is a corresponding point on the number line. (ii) For every point on the number line, there exists a real number. Express with rational denominator. Expre..Duplicate ratio
The compounded ratio of two equal ratios is called their duplicate rati..
Set
A well-defined collection of distinct objects is called a se..
Basic Definitions
Set - A well-defined collection of distinct objects is called a se..
Natural Numbers
The countable numbers are called Natural Numbers. Therefore 1 is the smallest or least of all natural numbers. The highest natural number cannot be said because Natural numbers are infinite. The set of Natural numbers..
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