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.
- Is fundamental period the same as period?
- What is the fundamental period of a constant function?
- 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.