Sentence examples for an explicit condition from inspiring English sources

The equilibrium paths may exhibit a limit point whose existence is related to the imperfection size and the stiffness parameter k through an explicit condition.

As long as the time-varying delay is exactly known and bounded, an explicit condition is provided to guarantee the stability of the closed-loop system.

From an explicit condition on the coefficient of the singular term, we provide a sufficient and necessary condition for essential self-adjointness.

Our design method is based on an explicit condition on the control input matrix which has been found to be necessary and sufficient for a decentralized control system to be robust against arbitrary, but otherwise, bounded disturbances.

By September, Johnson and Secretary of State William Seward required South Carolina and other ex-Confederate states to ratify the 13th Amendment as an explicit condition of readmission to the Union, with one correspondent asserting that the South held out hope it could still restore slavery until Johnson pressured South Carolina to accept the amendment.

In the case of Senegalese migrants, remitting can be an explicit condition to maintain contact and retain ties, to remain a member of the family of origin and stay connected with friends and kin, as the case of Mariam shows.

This result shows that the implicit condition (A) and the explicit condition (B) are equivalent and the solutions of (3.7) can be asymptotically characterized by as.

For the internal energy, we give an explicit sufficient condition for geodesic convexity which generalizes the condition of McCann.

In general, the RMSD of any system, within 1 Å (10−10), can be regarded as stable, and the deviation was found to occur within a range of 0.15 0.25 nm (10−9) for the proposed model and suggested that the system was having a customary behavior in explicit condition under the effect of force field.

A main effect for each explicit condition (1-back, 2-back, and 3-back) was modeled and entered into a random-effects analysis at the second level.

Using the partial Fourier transform on K, we prove that a bi-invariant operator P on G admits a fundamental solution on U × K (with U open subset of H) if and only if its partial Fourier coefficients satisfy a condition of slow growth and each one admits a fundamental solution on U. Hence we deduce an explicit necessary condition for the existence of a global solution for P on G.