The phrase "associate operator" is correct and usable in written English.
It can be used in contexts related to job titles or roles, particularly in technical or operational fields.
Example: "As an associate operator, my responsibilities include monitoring equipment and ensuring smooth operations."
Alternatives: "junior operator" or "assistant operator".
Define (mathcal {T}colon Xto X), the associate operator of T, by (mathcal {T}(x)=T x,x,ldots,x)) for all (xin X).
Then the mapping (mathcal{T}) is called the associate operator of T. The following remark will be useful in proving some consequences of our main result.
Continuing this process we define the sequence (langle y_{n}rangle) in (g(X)) as (y_{n} = g(x_{n}) = f(x_{n-1}, x_{n-1}, ldots, x_{n-1})=Fx_{n-1}), (n = 1,2,ldots,k+1), where F is the associate operator for f.
Cueing, in general, led to better performance than none, but did not appear to completely eliminate temporary SA deficits due to changes in control and associated operator reorienting.
We study subproduct systems in the sense of Shalit and Solel arising from stochastic matrices on countable state spaces, and their associated operator algebras.
Denote by (H(c_{i})) the associated operator.
In this section we briefly recall the notion of quasi boundary triples and the associated (operator-valued) Weyl functions.
In Sect. 2 we briefly recall the basic setup for quasi boundary triples and associated operator-valued Weyl-functions (also called Weyl Titchmarsh functions) as needed in this paper.
Wave mechanics associates operators acting in the Hilbert space spanned by the solutions of the Schrödinger equation.
Given an appropriate symbol function, we consider the associated Hankel operator together with the Hankel operator associated with that symbol function's complex conjugate.
This allows us to show the existence of new smooth, compactly supported magnetic fields in R3 for which the associated Dirac operator has a non-trivial kernel.
