The phrase "auxiliary quantities" is correct and usable in written English.
It can be used in contexts related to mathematics, physics, or engineering where additional or supporting measurements are discussed.
Example: "In our calculations, we must consider the auxiliary quantities to ensure accuracy in our results."
Alternatives: "supporting values" or "additional measurements".
No unnecessary assumptions, approximations, or auxiliary quantities are introduced.
In addition to the target parameters, we need to estimate further auxiliary quantities such as clock and atmospheric model correction parameters.
The OHAM has certain advantages: (i) it is a general method, (ii) contains an adjustable parameter to control the convergence of solution, and (iii) for certain choices of auxiliary quantities, its working resembles with those of other similar methods.
Consider an auxiliary quantity, defined as (2.19).
On level I, the information that an acquisition is conglomerate is used directly as a control variable; on level II, this information is only used indirectly as an auxiliary quantity in order to determine the explanatory variables.
What now needs to be observed is that if we choose,, and (for ), then the auxiliary quantity will be turned out to the Estrada index, as defined in (1.1).
Firstly, we introduce an auxiliary quantity of a graph G on the vertex set V ( G ) = { v 1, v 2, …, v n } as P = 1 + 2 n ( n − 1 ) ∑ v i ∼ v j 1 d i d j, where d i is the degree of the vertex v i of G. Lemma 1 [11].
The primary features combined with three auxiliary texture quantities serve as inputs to classifiers for the recognition of true MCs so as to decrease the false positive rate.
To derive the third auxiliary variable, the backroom quantity (y_i), we consider the fact that the order frequency (f_i) divides the considered period into equal (f_i) subperiods.
An attempt was made to combine the pre-treatment and dyeing processes with optimal quantities of textile auxiliaries in single bath.
The second auxiliary variable, the total shelf quantity (x_{ib_i}), depends on the number of facings (k_i) and the stock per facing (g_{ib_i}), and is computed by (x_{ib_i}=k_i cdot g_{ib_i}).
