formula to explain and simplify the so called bernoulli numbers

If Z = a + ib, then Z is called the negative of Z. -Z = -(a + ib) = -a - ..

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..

Square root of a negative number is known as an imaginary number . If x and y are real numbers, then x + iy is called a complex number . x is called the real part and y is called the imaginary part . The fo..

Question 1 - Question: Define an even number. Answer: A number which is divisible by 2 is called an even 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..

If two or more ratios are multiplied term-wise, the ratio thus formed is called their compounded rati..

A well-defined collection of distinct objects is called a se..

The compounded ratio of two equal ratios is called their duplicate rati..

If z = x + iy then e z = e (x + iy) = e x e iy ? e z = e x {cos y + i sin y} is called the Exponential form of the Complex number..

Ratio: If a and b are two quantities with the same units such that b is not equal to zero; then the quotient a/b is called the ratio between a and b. It is written as a:b. Ratio does not have any unit. The quantities a and b are called terms of the ratio. a' is calle..