The phrase "a defining function" is correct and usable in written English.
It can be used to describe a characteristic or role that is essential in determining the nature or identity of something.
Example: "In mathematics, a defining function is crucial for establishing the properties of a particular set."
Alternatives: "a key role" or "a fundamental function".
Every geometric type of elementary form can be characterized by a defining function, which is a specific case of the general polynomial fitted function.
These manifolds have compactifications as C∞ manifolds with boundary on which the metric is conformai to a C∞ metric (up to the boundary) with conformal factor ϱ−2, where ϱ is a defining function for the boundary.
For a smoothly bounded strictly pseudoconvex domain, we describe the boundary singularity of weighted Bergman kernels with respect to weights behaving like a power (possibly fractional) of a defining function, and, more generally, of the reproducing kernels of Sobolev spaces of holomorphic functions of any real order.
end{aligned}(A function satisfying the first two conditions is called a defining function for (Omega ), and a defining function normalized by the third condition is called a Levi defining function).
Let (rin C^infty (overline{D})) be a defining function for D such that (u=-log (-r)) is strictly plurisubharmonic.
Let (tilde{rho }in C^4 overline{D})) be a defining function for D such that (tilde{u}=-log (-tilde{rho })) is strictly plurisubharmonic.
Many types of histone modification are known to act on nucleosomes, but only a few of them have a defined function in genomic regulation.
The residues for which a defined function in ribosome rescue was assigned in the well-studied E. coli tmRNA presented strong conservation (Fig. 4).
Actually, 72% of the genes within the overlapped SM category are transcription factors and 28% do not have a defined function.
The far majority of the transporters induced in the parental strain lacked a defined function in A. nidulans.
Only one of these genes, encoding a homolog of a bacterial 16S rRNA methyltransferase [ 19], has a defined function.
