Additional examples are adjusted to the entries in an automated way - we cannot guarantee that they are correct.
The periodic function is then shifted along the period to create an animation.
The mathematical representation of the potential is a periodic function with a period a.
This form is especially suited for interpolation of periodic functions.
U(f) is a periodic function with a period 1.
The trapezoidal rule often converges very quickly for periodic functions.
It contains the space of Bohr almost periodic functions.
The degree of order is related to the amount of periodic function that it shows in the system response.
There are several inequivalent definitions of almost periodic functions.
Periodic functions (such as ) are particularly well-suited for this sub-division.
If "G" is compact the almost periodic functions are the same as the continuous functions.
A quasi-polynomial can be written as , where is a periodic function with integral period.
The Fourier series of a periodic function is mathematically expressed as:
Trigonometric functions also prove to be useful in the study of general periodic functions.
The notation indicating the 2 periodic function coinciding with on ( 1, 1).
A possible way out is to define a periodic function on a bounded but periodic domain.
It is different from the mathematical concept of an almost periodic function, which has increasing regularity over multiple periods.
But the same spectral information can be discerned from just one cycle of the periodic function, since all the other cycles are identical.
Similarly, snakebots can move by adapting their shape to different periodic functions.
The sinusoid can be replaced by any other periodic function, like the modulo operation:
See also almost periodic function.
In a crystalline solid, V is a periodic function, with the same periodicity as the crystal lattice.
The characteristic wave patterns of periodic functions are useful for modeling recurring phenomena such as sound or light waves.
Veṇvāroha has been studied from a modern perspective and the process is explained using the properties of periodic functions.
It is also known that for any periodic function of bounded variation, the Fourier series converges everywhere.
The modern periodic law states that an element's chemical and physical properties is a periodic function of its atomic number.