The phrase "a continuum of functions" is correct and usable in written English.
It can be used in contexts discussing mathematics, science, or any field where functions are analyzed as a range or spectrum.
Example: "In calculus, we often study a continuum of functions to understand their behavior over an interval."
Alternatives: "a range of functions" or "a spectrum of functions".
He later generalizes his confirmation function to a continuum of functions cλ.
Our data suggest that a continuum of functions of hematopoietic cells directly associated with cell cycle progression may play a major role in governing the engraftment potential of stem cells.
These data suggest that a Yin and Yang system of gene expression patterns in HSC may exist allowing for the oscillation of cells, perhaps in a cell cycle related fashion, between engrafting and non-engrafting status thus generating a continuum of functions from within what would otherwise appear as a heterogeneous population of cells.
Education systems that respect the idea of a continuum of functioning should also offer a continuum of services based on the idea of personalising education [ 43].
We have seen that the later Carnap relaxed his earlier aspiration to find a unique confirmation function, allowing a continuum of such functions displaying a wide range of inductive cautiousness.
A strength of the current study is that subjects were assessed in respect of a continuum of cognitive function (in the case of humans) or graded categories of neurodegenerative pathology (in the case of mice).
For random variables having a continuum of possible values, the function that plays the same role as the probability distribution of a discrete random variable is called a probability density function.
This may lead to support the idea of a continuum of the depressive spectrum and functioning, ranging from non-depression (no impact on quality of life and functioning) to major depression.
Clearly, our work is of significance because equation (1) allows an infinite number of nonlinear terms and even a continuum of nonlinearities determined by the function ξ.
After all, your assumptions will surely look peculiar: a continuum of goods all with identical production functions, entering symmetrically into utility?
Superquadric functions provide a continuum of shapes across four distinct eigensystems (lambda(i), sorted eigenvalues), lambda(1) = lambda(2) = lambda(3) (spherical), lambda(1) < lambda(2) = lambda(3) (oblate), lambda(1) > lambda(2) = lambda(3) (prolate), and lambda(1) > lambda(2) > lambda(3) (cuboid).
