Sentence examples for order formula for from inspiring English sources
The existence of both solutions and needs to be proved by a fixed-point approach, since in the half-linear case there is no reduction of order formula for computing a linearly independent solution.
Finally, we suggest an explanation for the intrinsic limitations of the classical finite difference method in the construction of accurate high order formulas for field problems.
There is also the intriguing possibility of natural-language sentences that seem to require second-order formulas for their formalization.
The reason is that even though one could prove the system sound and complete (i.e., that there is a winning strategy for P in a dialogue for a second order formula A iff A is valid), there is no way to systematically define such a winning strategy.
Our main result is a second order asymptotic formula for log detPnAPn, asn→∞.
Zhang et al. [26] got a second order approximate formula for the Caputo derivative by considering the L1 formula on special nonuniform mesh.
Born also found a leading order perturbation formula for (f(theta )): begin{aligned} f(theta ) = - 2pi ) int e^{i overrightarrow{k'}-overrightarrow{k} cdot overrightarrow{x}}V(overrightarrow{x}),doverrightarrow{x} end{aligned} (13.2)where (k'}-overrightarrow{k} cdotk'}cdoverrightarrow{x}}V overrightarrow{x}
Comparisons with the existing analytical and experimental results are made to demonstrate the accuracy and validity of the first-order approximation formula for the hexagonal array.
The effective transverse thermal conductivities of doubly-periodic fiber reinforced composites are calculated, and the first-order approximation formula for the square and hexagonal arrays is presented, which is convenient for engineering application.
In this article, an example for creating the 5th-order polynomial formula for temperature range of 0 50°C is presented; errors in the wet-bulb temperature range from −0.076°C to 0.019°C with a mean absolute error of 0.025°C and root mean square error of 0.034°C.
They used weighted and shifted Grünwald-Letnikov for Riemann-Liouville fractional derivative and compact difference for space derivative and used second-order interpolation formula for nonlinear source term.
