Sentence examples for by introducing a weak from inspiring English sources

This is achieved by introducing a weak discontinuity in the chloride concentration field for finite elements where the physical interface is present.

In these models, we were able to obtain the well-known three-branch configuration of the Baikal rift system only by introducing a weak zone in the area of Lake Baikal.

We study a time dependent partial differential equation (PDE) which arises from classic models in ecology involving logistic growth with Allee effect by introducing a discrete weak solution.

The human rights report released Monday was conducted by the San Francisco-based Business for Social Responsibility, which deemed Facebook a conduit used to fan tensions in Myanmar, a country that spent decades under a military dictatorship before introducing a weak civilian government in 2010.

By introducing a new kind of weak solutions, which are based on the weighted variable exponent Sobolev spaces, the existence and stability of the weak solutions are proved in this paper.

The most significant result of this paper lies in that we have found that, if we combine the degeneracy of the diffusion coefficient with the degeneracy of the convection term, by introducing a new kind of the weak solutions, we may prove the stability of the weak solutions without any boundary value condition.

By introducing a random iteration process with weak contraction random operator, we obtain a convergence theorem of the random iteration process to a random fixed point for nonexpansive random self-mappings.

By introducing a splitting parameter, we formulate the fractional Laplacian as the weighted integral of a weak singular function, which is then approximated by the weighted trapezoidal rule.

The first is designed to prevent path-breaks by introducing a proper redirector in the vicinity of a potential link-break to bypass the weak link.

Japan remained the weak link for the franchise in Asia and McDonald's has responded by introducing a menu with options costing 100, 250 and 500 yen.

There was weak evidence for interaction (P-value 0.10) and thus we adjusted for time of diagnosis by introducing a term in the regression model representing follow-up of more or less than 6 months.