Sentence examples for by using the mixed from inspiring English sources

By using the mixed monotone properties of operator, we have (2.27).

By using the mixed stress-displacement Hellinger Reissner principle, a quadratic formulation is given.

Phase separation was obtained at room temperature by using the mixed solvent water/dimethylsulfoxide (DMSO).

Beside that, by using the mixed Lipschitz and Carathéodory conditions they proved the existence theorem for FHDEs.

By using the mixed monotone operator theory, the author obtained the existence and uniqueness of positive solutions for problem (1.1).

end{cases} (1.3) The author examined the uniqueness of the solution and its dependence on the parameter λ for problem (1.3) by using the mixed monotone operator theory.

This paper presents a two-level strategy for stochastic synthesis of chemical processes under uncertainty with a fixed degree of flexibility by using the mixed-integer nonlinear programming (MINLP) approach.

An acquisition time in the N dimension much longer than the JNC′ refocusing INEPT delay, typically around 30 ms, was achieved by using the mixed-time (MT) evolution approach without requiring additional pulses.

We give some examples of a nonlinear contraction mapping, which is not applied to the existence of tripled coincidence point by G using the mixed monotone property.

We give some examples of a nonlinear contraction mapping, which is not applied to the existence of coupled coincidence point by H using the mixed monotone property and H-increasing property of F. We also show the uniqueness of a coupled coincidence point of the given mappings.

Tree constructions were performed through the bayesian inference (BI) method by MrBayes using the mixed substitution model and four gamma rate categories, 500,000 replicates (every 100 th was saved) and a burn-in of 2000 resulting in 6000 trees.