The term 'auxiliary operator' is correct and can be used in written English.
It is typically used to refer to someone who helps to facilitate a task or process, typically one that is technical or complex in nature. For example, "The company hired an auxiliary operator to help with the technical programming of the website."
He has done well at the plant, moving from the coal yard to his current position as assistant auxiliary operator responsible for the vital task of checking motors and oil levels.
An interesting feature is that the "adjoint" testing condition is that it is a testing condition not for the adjoint of the paraproduct, but for some auxiliary operator.
The tight regulation of pLAC11 was achieved by utilizing the O3 auxiliary operator, CAP binding site, promoter, and O1 operator that occur in the wild-type lac control region.
An auxiliary operator E is also introduced such that EA means 'Everyone knows that A'.
We introduce the auxiliary operator T Open image in new window.
In order to treat the situation that T t, ε) is not a contraction operator (but it becomes eventually contracting), we construct some auxiliary operator and show that it is contracting.
We characterize the spectrum of Hμ by constructing auxiliary operators whose kernel contain the pure point and singular subspaces of Hμ, respectively.
Let us define the auxiliary operators S_{n,p,q}^{astalpha,beta}(f;x)=S_{n,p,q}^{alpha,beta }(f;x -f biggl(frac{[n]_{p,q}x -fpha}{[n]_{p,q}+biggl biggr)+frac{[n
Using some auxiliary operators and applying semigroup theory and a fixed point theorem, we are able to handle these cases and obtain the results on the existence and differentiability with respect to parameters of periodic solutions.
Define the auxiliary operators (mathbf{S}_{n,alpha,beta} ( f,x ) ) as follows: mathbf{S}_{n,alpha,beta} ( f,x ) =widetilde {S}_{n,alpha,beta} ( f,x ) +L_{n,alpha,beta} ( f,x ), (3.1) where L_{n,alpha,beta} ( f,x ) =f(x -f bigl( widetilde {S}_{n,alpha,beta} ( t,x -fbigl).
In the particular case of DNA looping that we discuss here, the J factor is the effective concentration of an auxiliary operator-bound LacR molecule at the primary operator.
