The phrase "a further approximation" is correct and usable in written English.
It can be used when discussing a more refined or advanced estimate or calculation in various contexts, such as mathematics, science, or analysis.
Example: "After reviewing the initial data, we will provide a further approximation of the project's costs."
Alternatives: "an additional estimate" or "a more refined approximation."
In this case a further approximation is also to consider the bed surface reaction of static type.
A further approximation involves replacing Q x) by the Chernoff upper bound (1/2) exp(−x2/2) [8].
A further approximation is made by neglecting the off-diagonal terms in the band index, which means that only incoherent interband and sub-band polarization is considered [18].
In effect, the proposed detector is a further approximation of that in [4], which consists of only partially enumerating the symbols selected for exact marginalization (the set in (5)).
Here, we provide a further approximation by applying the FD method to solving the space-fractional diffusion equation frac{partial u}{partial t}=D(Delta)^{alpha}u,quad 1< alpha< 2, (3.5) subject to the boundary conditions (u 0,t)=u(1,t)=0) and the initial function (u x,0)=f(x)) in one-dimension.
In order to get more insight into the basic mechanisms leading to birhythmicity, we looked for a further approximation of Model 2 which would preserve the birhythmic behavior as well as the characteristics of the orbits of the two oscillatory regimes underlined by the previous analysis.
The electron proton wave functions (ϕ n χ n p) can, in principle, be obtained by applying the BO approximation to separate the Schrödinger equations for the { q, R} and Q coordinates, without invoking a further BO approximation to describe the evolution of the q and R coordinates.
In this paper, we use the further approximation ε i = ε if a i = and ε = 0 otherwise, the so-called two-state model [ 12].
Some coloniae, in further approximation to Italian models, enjoyed exemption from tribute.
This further approximation will reduce the encoding complexity dramatically.
However there is a lack of research in the large-scale design optimization area applying MCDM to address further approximation using meta-models.
