In , Etrog and Robshaw derived a 5-round iterative linear approximation
where only the last two rounds are active, and then they concatenated three five-round iterative linear approximations
to construct an 18-round linear approximation
with bias [2.sup.-56.2].
A rough standard neutrosophic set is the approximation
of a standard neutrosophic set w.
According to the approximation
methods in , using backward-forward systems of Swift-Hohenberg equation and u = [P.sub.c]u + [P.sub.s]u = [u.sub.c] + [u.sub.s], we assume the following reduced system:
The aim of this work is to present an analytical approximation
study of periodic solutions for systems of second-order nonlinear differential equations.
Fournier  uses the quadratic Vaserstein distance for the approximation
of the Euler scheme and the results of Rio  which gives a very precise rate of convergence for the central limit theorem in Vaserstein distance.
Key words: cosine operator function, Blackman-type approximation
processes, Rogosinski-type approximation
processes, modulus of continuity, Fourier series of symmetric functions with respect to [pi].
have proposed approximations
for Q(x) function given as 
The first-order and second-order approximations
were evaluated for liquid water at temperatures from 0 [degrees]C to 200 [degrees]C, again at pressures up to 20 MPa.
For more detailed information about the asymptotic approximations
, we refer the interested reader to [3-8, 28, 29].
Results of these approximations
are given in 100 [micro]s in Figure 8, and first derivatives of these currents are given in 20 [micro]s in Figure 9.
Recently, in , the decomposition obtained in  has been used to infer a closed form approximation
formula for a plain vanilla call price in the Heston case, and on the basis of this approximated price, a method to calibrate model parameters has been developed and successfully applied.