Sentence examples for higher order yields from inspiring English sources

Going to higher order yields fourth-order terms and we recover an equation of KS type with the coefficient of (-theta_{xxxx}) given by (gamma=sum_{mu}epsilon_{mu}H_{mu}'(0) gamma_{mu}^{-4}).

Higher order polynomials yield better R values, but are probably not justified due to the noise in the data.

Adopting even higher order Jacobi polynomials yields improved accuracy.

This particular higher order model (HOSNT11) yields the most accurate results for the transversely loaded simply (diaphragm) supported FG plates.

Higher order polynomial models yield no improvement in the optimization.

Three and four events imply a total of four and ten triad identities, respectively, and in general a given higher order identity will yield (binom {n+1}{3}) triad identities.

Even if these additional output bits are ignored after the right shift, they are needed to compute the carry-in for higher order bits to yield a correct result.

The use of curvature-dependent energies yields higher order partial differential equations for surface variables, whose numerical solution is a very challenging task.

Furthermore, by solving the non-linear eigenvalue problem and including higher order terms the approach yields significantly better results than traditional projection technique.

More significantly, these high order formulas yield remarkable results not evident for 8th order formulas, even for systems as complex as the molecular dynamics of water.

The uniform Gaussian estimates and Schauder estimates in Theorem 1.4 applied to (8.8) yield the higher order estimates and conclude the proof.