Sentence examples for employed the upper from inspiring English sources
They employed the upper bound theorem of limit analysis with the consideration of rotational log spiral failure mechanism.
Later, Soubra and Macuh (2002) employed the upper bound theorem of limit analysis for the computation of active and passive earth pressure coefficients.
For two-point BVPs, Yao and Feng employed the upper and lower solution method to prove the existence of solutions for a kind of third-order nonlinear differential equations [9].
By employing the upper and lower solution method and the oscillation theory of functional differential equation, we establish a sufficient condition for all positive solutions of the equation to oscillate about the positive equilibrium.
In 1988, Erbe and Zhang [10] developed new oscillation criteria by employing the upper bound of the ratio x ( τ ( t ) ) / x ( t ) for possible non-oscillatory solutions x ( t ) of equation (1.2).
Consequently, employing the upper bound on the normalized ICI variance of all subcarriers, determined by smax,the upper bound of the instantaneous BER for each subchannel can be expressed as Ω [ k ] ≤ C 1 exp − C 2 γ [ k ] s γ [ k ] S ¯ 2 β γ [ k ] − 1 s max P N γ ¯ + 1 (17).
We employ the upper bound of UPEP to derive diversity order for (overline {text {PEP}}(d|mathbf {D}_{d})) as [27] begin{array}{*{20}l} tau geq - {lim}_{overline{gamma} rightarrow infty} left(frac{log Psi_{gamma_{Sigma}}(1/2)}{log overline{gamma}}right). end{array} (35).
The method is employed for the Upper Danube watershed (76.653 km2) to provide sub-scale land use information, which is used as an input for the physically based and raster-oriented SVAT model PROMET (J. Hydrol. 212 213 (1998) 250; J. Hydrol.
The cooks employed by the upper classes in Dickens's day carefully guarded their recipes, to avoid competition.
Richard Marsden, political reporter for the local paper, the Star, said that Sheffielders' well-developed social conscience, the large numbers of Hallam residents employed in the upper echelons of the public sector, and then Clegg's strong performance in the debates, all militated against a Conservative restoration.
In the final stage, the classical monolithic shell theory based on an energy dissipation rate balance approach is employed; and the "upper" and "lower" bounds of the maximum back face-sheet central point deflections and response time are obtained by incorporating a comprehensive circumscribing and inscribing yield loci.
