Sentence examples for be a defining function from inspiring English sources

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.

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).

Every geometric type of elementary form can be characterized by a defining function, which is a specific case of the general polynomial fitted function.

Defining ({tilde{u}}= u -kappa phi ), where (phi ) is a negative defining function of (Omega ), as in Sects.

Let be a function defined on.

Let be a function defined by (2.2).

Let A be a function defined on ({mathbb{R}^{n}}).

and let be a function defined on a neighborhood of.

Let f be a function defined on (mathbb{N}_{a}).

Let f be a function defined on ([0,a]).