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.
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).
yes
Colour is a property that is not a periodic function.
no.
No, all functions are not Riemann integrable
What are the four functions of a periodic table?
because sine & cosine functions are periodic.
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.
yes
yes.
Yes.
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.
James Geer has written: 'Exponentially accurate approximations to piece-wise smooth periodic functions' -- subject(s): Approximation, Exponential functions, Fourier series, 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..)
David Anton Frederick Robinson has written: 'Fourier expansions of pseudo-doubly periodic functions and applications' -- subject(s): Fourier series, Periodic functions
determing current flow in ammeters
wheels, tide levels, temperature...