"approximations for describing" is grammatically correct and can be used in written English.
Example: Scientists make use of mathematical approximations for describing the behavior of complex systems, such as climate patterns or the stock market.
In one and two dimensions, (1.3) is used to describe some phenomena appearing in different physical, engineering and other sciences because it is regarded as a good approximation for describing nonlinear vibrations of beams or plates (see [1], [2]).
Experimental and theoretical analyses of cellular deformation indicate that a hyperelastic material model is a practical approximation for describing the deformation of a cell after quasistatic stretching after completion of the stress relaxation.
From this, we have that the force-free state boldsymbol{J} times boldsymbol{B} =0 (1). is a good approximation for describing the state of the coronal magnetic field, where B is the magnetic field satisfying the solenoidal condition, mathbf{nabla}cdot boldsymbol{B} =0, (2).
In Derome et al. [5] and in Patera et al. [25], the swelling/shrinkage of wood has been documented in 3D by adopting an affine registration model as good approximation for describing the deformations of wood cell wall due to moisture changes.
The assumption made here, that individuals mix nearly homogeneously out of their household may be an appropriate approximation for describing transmission within a neighbourhood or even a city [20], but ultimately one should also consider developing the estimators for more complex demographic situations such as a hierarchy of organisations (household, to village, to region, to country, etc).
The success of the integral localized approximation for describing a BB can be used advantageously in biomedical applications, such as in the determination of the optical forces exerted over biological particles under the influence of such beams.
Note that we do not expect (16) to hold exactly in any parameter regime because the time to fixation is actually a random variable (and furthermore, both τ f and λ are altered when interference is frequent), but we find that pinter is a useful approximation for describing the interference in simulations during the rescaling process.
In the case of germanium and diamond crystals, phonon scattering is weak, which allows one to successfully apply the coherent potential approximation (CPA) for describing shift and broadening of scattering lines.
This step was necessary for progress to be made, and it was such a wonderfully accurate approximation to the truth for describing motions that are slow compared to the speed of light that it withstood all tests for more than two centuries.
In addition, our previous work [71] proposed rough k-clique theory that relaxes the conventional k-clique by using the newly defined upper/lower vertices approximation that are used for describing the boundary of the given subgraph.
