The phrase "a singular function" is correct and usable in written English.
It can be used in contexts where you want to describe a function that is unique or distinct in its purpose or behavior.
Example: "In mathematics, a singular function can exhibit properties that are not found in regular functions, making it an interesting subject of study."
Alternatives: "a unique function" or "an individual function".
The measure is nonatomic and singular with respect to the Lebesgue measure if and only if F is a singular function.
Recall that a singular function is a function which is continuous and nondecreasing on a real interval and has the derivative 0 except for a set of zero Lebesgue measure.
The factorization in our case of interest consists of two inner functions - the Blaschke-Potapov product, a function of a particular form having the same zeros and poles as the original transfer function, and an inner function having no roots or poles (a singular function).
"If you look at the evolution of mobile phones - they started out with a singular function and now we have smartphones that have thousands of capabilities.
But for whatever reason, many still imagine the phone as a singular-function device.
The Cauchy integral equation involved in this paper is analytically investigated such that the solution is written in the form of a known singular function multiplied by an unknown regular function.
By introducing a splitting parameter, we formulate the fractional Laplacian as the weighted integral of a weak singular function, which is then approximated by the weighted trapezoidal rule.
For a system satisfying the same conditions but having N input and output ports, the (e^{-alpha z}) term will be replaced by a similar singular function which we will refer to throughout as the singular term (see Section 5.1 for a discussion).
By A B p t ⊂ H p, there exists a Blaschke product B, a singular inner function S and an outer function g, such that f = B S g.
Successful image-based apps are easy to use and have a clear and mostly singular function, such as Snapchat, Instagram or Vine.
Quite in addition to its surprising appearance as the solution to an applied problem, the singular function s u) has some unusual mathematical properties: The Hausdorf dimension of the set of points in the subinterval (a, b) at which the function is not differentiable is s(a).
