What does a period mean in a math equation?

What does a period mean in a math equation?

In Mathematics: The length from one peak to the next (or from any point to the next matching point) of a periodic function. In other words the length of one full cycle.

What is non-periodic function?

A non-periodic function does not remain self-similar for all integer multiples of its period. A decaying exponential is an example of a non-periodic function. The distance between consecutive peaks does not remain constant for all values of $ x $, nor does the amplitude of consecutive peaks remain constant.

What is the period of periodic function sin NX?

sin(n(x + 2kPi/n)) = sin (nx + 2kPi) = sin (nx). And for our fundamental period, the smallest value would be when k = 1, therefore, Period of y = sin(sin(nx)) = 2Pi/n.

How do you find the period of a periodic function?

1 If a function repeats over at a constant period we say that is a periodic function. 2 It is represented like f (x) = f (x + p), p is the real number and this is the period of the function. 3 Period means the time interval between the two occurrences of the wave.

Why is the Fourier series of X periodic with period 4?

It is periodic, with period 4, because g ( x + 4) = g ( x) for all x. The two functions are related by the fact that f ( x) = g ( x) when x is between − 2 and 2; for other values of x, f ( x) and g ( x) are quite different. As g is periodic, it makes sense to talk about its Fourier series.

What is the fundamental period of a function?

The fundamental period of a function is the period of the function which are of the form,

What is the definition of per period in trigonometry?

Period means the time interval between the two occurrences of the wave. The distance between the repetition of any function is called the period of the function. For a trigonometric function, the length of one complete cycle is called a period. For any trigonometry graph function, we can take x = 0 as the starting point.