Sentence examples for an approximation is needed from inspiring English sources

For the general case, an approximation is needed (but other arguments can also apply, see, for instance, [84], Section 5.1). square ). square

To calculate (19) with the use of (9) (and with isotropic initial fiber orientation tensor (bar {boldsymbol {N}}(0))), a closure approximation is needed to approximate (bar {mathbb {N}}) based on (bar {boldsymbol {N}}) in each time step, since otherwise the expression (9) is undetermined.

An additional approximation is needed to obtain a computable model.

An appropriate numerical approximation is needed for estimating the underlying functions when dealing with data in the form of discrete sampled points.

Referees have right, there is a huge room for improvements, but a solid based step-by-step, down-to-top approximation is needed for the detailed understanding of the structure formation and stability of TMPs.

Problems with data that comes with built-in noise from the real world, or where some approximation is needed, are the best fits.

Thus, some approximation is needed in practice.

Therefore, some form of approximation is needed.

Pulse shapes with even better frequency localization may be used if higher approximation is needed.

Following this, the second way of modelling the genotypic data in Gianola et al. [ 4], as described above, seems to be an interesting option, because it yields directly the additive effects, if the genotypes are modelled appropriately, and no extra computational step for the linear approximation is needed.

The first term of Eq. (2) may be expanded in an infinite series, and therefore approximations are needed to successfully model the expression.