The phrase "expansion of the function" is correct and commonly used in written English.
It is typically used in the context of mathematics or science to refer to the process of extending or enlarging the range or scope of a particular function. Example: The expansion of the function allowed us to better understand and predict the behavior of the system.
Volterra filters can be seen as a multidimensional Taylor series expansion of the function x k)↦y(k).
The above connections enable us to obtain an asymptotic expansion of the function in the critical strip.
The following result is a theorem on the recurrence relation of coefficients in the series expansion of the function (ln (1-2x^{2}/15-px^{6})).
Note that the Taylor expansion of the function in (72) is of a real function in real parameters, even if the likelihood function is for complex quantities.
On the other hand, recalling the power-series expansion of the function e x, we have another expression for the Estrada index of G as follows: E E ( G ) = ∑ k = 0 ∞ M k ( G ) k !
The Taylor expansion of the function D x, y, σ) is given by D ( x ) = D + ∂ D T ∂ x x + 1 2 x T ∂ 2 D ∂ x 2 x (19).
After a suitable expansion of the functions, the governing equations are transformed into two coupled ordinary differential equations, and they are solved by a general eigenvalue solution procedure.
The primary objectives of this paper are as follows: (A) We introduce a new set of formulas to be calculated at the tangent and cotangent factor nodes, to better approximate the mean and variance of the function values by utilizing the first-order TS expansion of the functions, so that the Gaussianity assumption still holds.
In this case, it is sufficient to consider the potential at time n = 0. Thanks to the bounds (53), one can make a series expansion of the functions log and log ( 1 − π ) and rewrite the potential under the form of the expansion: (57).
The proof is based on Taylor expansions of the function f around the appropriate points and would be similar to those taken in [14].
The unique feature of the algorithm is the expansion of the Wigner function in local basis functions, similar to finite element or finite volume methods.
