If the original sequence spans all the non-zero values of a function, its DTFT is continuous ( and periodic ), and the DFT provides discrete samples of one cycle.
12.
Analytic continuation often succeeds in defining further values of a function, for example in a new region where an infinite series representation in terms of which it is initially defined becomes divergent.
13.
Differential operators are " local " in the sense that one only needs the value of a function in a neighbourhood of a point to determine the effect of the operator.
14.
More generally, the expected value of a function of a random variable is the probability-weighted average of the values the function takes on for each possible value of the random variable.
15.
In contrast, a circular definition may have no base case, and define the value of a function in terms of that value itself, rather than on other values of the function.
16.
Interpolation is the problem of approximating the value of a function for a non-given point in some space when given the value of that function in points around ( neighboring ) that point.
17.
This is a form of caching the results of a query, similar to memoization of the value of a function in functional languages, and it is sometimes described as a form of precomputation.
18.
It's undefined behavior to use the value of a function call that exited other than by a return statement with a value ( C89, ?.6 . 6.4 ).
19.
In engineering and science, one often has a number of data points, obtained by sampling or experimentation, which represent the values of a function for a limited number of values of the independent variable.
20.
Jupiter ) can be changed dramatically, the value of a function of these parameters, called Tisserand's relation ( due to F�lix Tisserand ) is approximately conserved, making it possible to recognize the orbit after the encounter.
