Sentence examples for condition was proved from inspiring English sources

Each condition was proved every day.

In one approach, an anaerobic hybrid reactor was used to treat the wastewater and its feasibility under high salt condition was proved but with no further discussion on salt removing (Fusuwankaya et al. 2009).

In fact, this condition was proven strictly in this work.

( PS ) c condition is proved above.

Similar facts for the Dirichlet boundary condition were proved in [5].

An asymptotic mean square stability theorem with a necessary and sufficient condition is proved.

Finally, the singular condition is proved to be equivalent to that when the univariate-form input output equation has a repeated root in the real number field.

The synchronization of the master and slave PLLs in this condition is proved to be a generalized one using the auxiliary slave system approach.

As an extensive study, such sufficient condition is proved to be in a sense of global asymptotic stability when the additional threshold tends to zero.

Higher-order fuzzy differential equation with Hukuhara differentiability is considered in [12] and the existence and uniqueness of solution for nonlinearities satisfying a Lipschitz condition is proved.

(ii) The existence of a positive solution for the class of ϕ-Laplacian differential equations with a nonhomogeneous boundary condition is proved.