Period

What is fundamental period

What is fundamental period

The fundamental period of a function is the period of the function which are of the form, f(x+k)=f(x) f(x+k)=f(x), then k is called the period of the function and the function f is called a periodic function.

  1. Is fundamental period the same as period?
  2. What is the fundamental period of a constant function?
  3. What is the period of a function?

Is fundamental period the same as period?

A function f:R→R is periodic if there exists a T≠0 for which f(x+T)=f(x) for all x∈R. Such a T is called a period. If there is a minimum period, T0, then this is called the fundamental period.

What is the fundamental period of a constant function?

Constant functions are periodic functions with no fundamental period.

What is the period of a function?

The time interval between two waves is called a Period whereas a function that repeats its values at regular intervals or periods can be defined as a Periodic Function. Or we can say that a periodic function is a function that repeats its values after every particular interval. This is the periodic function definition.

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