We develop the weak-type and strong-type inequalities for potential operators under two-weight conditions to the versions of differential forms.
As a new tornado was developing, the weaker of the two roped out, eventually orbiting and finally being absorbed into the developing circulation.
For the fourth-order singular beam equation with tension dominated than the rigidity, we develop the most weak-form integral equation method (WFIEM) to find the singular solution.
Finally, we develop the characterization of weak -sharp minimizer by means of a nonlinear scalarization function.
Moreover, we develop the characterization of weak -sharp minima by virtue of a nonlinear scalarization function.
In addition, we develop the characterization of weak -sharp minima in terms of a nonlinear scalarization function.
The fracture path was developed along the weak interface where there was moisture membrane especially at 0 3 days curing.
In light of this shortcoming, a multivariate model was developed from the weak rock mass modulus dataset, and the new model is exponential in form and has the following independent variables: (1) average block size or joint spacing, (2) field estimated rock strength, (3) discontinuity roughness, and (4) discontinuity infilling hardness.
The C60 cages may be regarded as rigid spheres, and a bandwidth develops from the weak interactions between the nearest neighbor (n-n) C60 cages.
While the soil-cement grids were effective at controlling foundation settlements in most cases, the more significant foundation settlements which developed for the weakest soil-cement grid configuration under the stronger shaking intensities produced a rocking response of the structure and caused extensive crushing of the soil-cement below the edges of the shallow foundations.
Opponents say drilling would threaten the pristine environment and wildlife and that the economic case for developing the remote area is weak.
