The phrase "apply an expansion" is correct and usable in written English.
It can be used in contexts where you are discussing the implementation or utilization of an expansion, such as in mathematics, business, or technology.
Example: "To improve our software's performance, we need to apply an expansion of the current algorithm."
Alternatives: "implement an expansion" or "utilize an expansion".
After a motif is found to be enriched, DRIM applies an expansion heuristic to optimize it to the target set.
This work proposes to develop and apply an asymptotic expansion-based method to facilitate and to improve the statistical linearization for large nonlinear structures.
Let us rescale the currents according to (mathbf{J} rightarrow mathbf{J}/epsilon) and (widetilde{mathbf{J}}rightarrow widetilde {mathbf{J}}/epsilon) so that we can apply a loop expansion of the path integral (6.8), which is a diagrammatic method for carrying out an ϵ expansion based on steepest descents or the saddle-point method.
The basic idea is, using an algebraic map, to transform the whole real line into a bounded interval where we can apply a Fourier expansion.
We apply a series expansion technique to estimate the water content distribution and front position in finite boundary conditions.
In this case, we have to find the roots of Using the Newton approach, we obtain following recursion starting from a chosen initial value w0: In case one requires a closed formula, one can also apply a Taylor expansion to the formula for the co-occurrence probability.
In 1936, the Cleveland Rams, who had struggled through a season with the failing rival American Football League, called NFL president Joe Carr to apply for an expansion franchise in the NFL.
In [30], the authors consider a new conformable fractional derivative and apply a functional compression-expansion fixed point theorem to prove the existence of a positive solution for fractional boundary value problem with S-L boundary conditions.
The atom number-dependent broadening and shift of the spectrum are suppressed by applying a lattice-expansion protocol, as shown by the blue symbols.
By applying a stochastic Taylor expansion [ 45] to jump processes [ 16], the one-step expansion for the expectation of f calculated with a first-order numerical method should satisfy (19) E (f (X h h ) | X 0 h = x ) = A h f (x ) = f (x ) + h ℒf (x ) + ∑ j = 2 ∞ h j j !
