The phrase "an arbitrary function" is correct and usable in written English.
It can be used in mathematical or programming contexts to refer to a function that is defined without any specific constraints or rules.
Example: "In this analysis, we will consider an arbitrary function to illustrate the concept of integration."
Alternatives: "a random function" or "a general function".
Since the lighting is an arbitrary function, the space of all possible images is formally infinite-dimensional.
Also the input disturbance is allowed to be an arbitrary function of time.
The curvature is taken as an arbitrary function of the spatial variable.
Due to the definition of the SRS, neither an analytical nor a unique inverse exists for an arbitrary function.
The state feedback is given by the composition of an arbitrary function and the control contact Hamiltonian function.
We assume that adversaries discover vulnerabilities according to a given vulnerability-discovery process which is modeled as an arbitrary function of time.
A technique for reformulation of probability integrals involving an arbitrary function of a random vector is presented.
In the experiments studying different QCR operation voltages, we sweep VQCR at a rate of ∼20 μV s−1 using an output of an arbitrary function generator that is connected to the cryostat through an optoisolator.
First, we construct a genetic algorithm which can search for the global optimum of an arbitrary function as the output of a feedforward network model.
They stretch a short string of truly random bits into a long string that looks random to any algorithm from a complexity class C (e.g. P, NC, PSPACE,...) using an arbitrary function that is hard for C.
It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions.
