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A nonconstant function is called periodic if there exists a number that you can add to (or subtract from) the argument and get the same result. The smallest such positive number is called the period. That is, nonconstant function f(x) is periodic, if and only if f(x) = f(x + h) for some real h. The smallest positive such h is the period. For example, the sine function has period 2*pi, and the function g(x) := [x] - x has period 1.
What else can I help you with?
Which functions has a period?
You can invent any function, to make it periodic. Commonly used functions that are periodic include all the trigonometric functions such as sin and cos (period 2 x pi), tan (period pi). Also, when you work with complex numbers, the exponential function (period 2 x pi x i).
Is a function of periodic function periodic?
yes
Difference between power series and fourier power series?
A power series is a series of the form ( \sum_{n=0}^{\infty} a_n (x - c)^n ), representing a function as a sum of powers of ( (x - c) ) around a point ( c ). In contrast, a Fourier power series represents a periodic function as a sum of sine and cosine functions, typically in the form ( \sum_{n=-\infty}^{\infty} c_n e^{i n \omega_0 t} ), where ( c_n ) are Fourier coefficients and ( \omega_0 ) is the fundamental frequency. While power series are generally used for functions defined on intervals, Fourier series specifically handle periodic functions over a defined period.
What property is not a periodic function?
Colour is a property that is not a periodic function.
Is the fnction in fourier series periodic?
Yes, a Fourier series represents a periodic function. It decomposes a periodic function into a sum of sine and cosine terms, each of which has a specific frequency. The resulting series will also be periodic, with the same period as the original function. If the original function is not periodic, it can still be approximated by a Fourier series over a finite interval, but the series itself will exhibit periodic behavior.
Functions of the periodic table of elements?
What are the four functions of a periodic table?
Why are sine and cosine functions used to describe periodic?
because sine & cosine functions are periodic.
Property common to all trigonometric functions?
Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.Trigonometric functions are periodic - they repeat after a period of pi, or 2 x pi.
Are the sum of two periodic functions always periodic?
yes
Are all trigonometric functions periodic?
yes.
Is all trigonometric functions are periodic?
Yes.
What does periodic law states?
The physical and chemical properties of the elements are periodic functions of their atomic numbers.The periodic law states that the physical and chemical properties of elements are periodic functions of their atomic numbers. They influence the characters of an element more than atomic weight.
What has the author James Geer written?
James Geer has written: 'Exponentially accurate approximations to piece-wise smooth periodic functions' -- subject(s): Approximation, Exponential functions, Fourier series, Periodic functions
Why use pie in periodic functions?
Pie is tasty. Pi, however, is what you use in periodic functions. +++ And you do so because periodic functions have properties linked to those of the circle. (You can illustrate this by plotting a sine curve on graph-paper, from a circle whose diameter is the peak-peak amplitude of the wave..)
What has the author David Anton Frederick Robinson written?
David Anton Frederick Robinson has written: 'Fourier expansions of pseudo-doubly periodic functions and applications' -- subject(s): Fourier series, Periodic functions
What is a real life exmple of periodic functions?
wheels, tide levels, temperature...
A use of periodic functions in real life?
determing current flow in ammeters
