Sentence examples for functions subordinate to from inspiring English sources

By a partition of unity, there exists a family { β i } i = 1 n of real-valued continuous functions subordinate to { M y i } i = 1 n such that for all x ∈ K, 0 ≤ β i ( x ) ≤ 1 and ∑ i = 1 n β i ( x ) = 1 and for each x ∉ M y i, β i ( x ) = 0. Let C : = co { y 1, y 2, …, y n } ⊆ K. Then C is a simplex of a finite dimensional space.

A function is subordinate to an analytic function, written, if there exists a Schwarz function, analytic in with and satisfying If the function is univalent in, then is equivalent to and.

For two functions and analytic in, the function is subordinate to, written as (1.1).

For two functions and, analytic in, we say that the function is subordinate to in and write (1.5).

For two functions and, analytic in, we say that the function is subordinate to in, and write.

Let and be analytic in ; then we say that the function is subordinate to in, if there exists an analytic function in such that, and, denoted that or.

In his designs, structure and function are subordinate to the building program.

An analytic function f is subordinate to an analytic function g, written f ≺ g, if there is an analytic function w with | w ( z ) | ≤ | z | such that f = ( g ( w ) ).

Because most cognitive functions are subordinated to attention and EFs, impairment of these functions might indirectly affect other components of cognitive functioning as well.

For two functions h and g in A, the function h is subordinate to g, written h ( z ) ≺ g ( z ), z ∈ D, if there exists a function w ∈ A, with w ( 0 ) = 0 and | w ( z ) | < 1, such that h ( z ) = g ( w ( z ) ).

For two functions f and g, analytic in Δ, we say that the function f is subordinate to g in Δ if there exists a Schwarz function ω, which is analytic in Δ with ω ( 0 ) = 0 and | ω ( z ) | < 1 ( z ∈ Δ ), such that f ( z ) = g ( ω ( z ) ) ( z ∈ Δ ).