Sentence examples for model and existence from inspiring English sources

The similarity between the predicted and experimental results verified the validity of the model and existence of an optimal point.

All proofs of the results in the sections "An integrated financial network model" and "Existence of equilibria and an algorithm for their computation" are presented in the section "Proofs".

Agreements between the predicted and experimental results verified the validity of the model and the existence of the optimal points.

These properties hold under the assumption of the SI model and the existence of only one source of the infection.

In Section 4, we investigate the asymptotic smoothness of the semi-flow generated by our model and the existence of compact attractor.

Suspected sources of disagreement are the simple turbulence model and the existence of slosh baffles in the experiment that were not included in the model.

Statistical arbitrage circumvents the joint hypothesis dilemma of traditional market efficiency tests because its definition is independent of any equilibrium model and its existence is incompatible with market efficiency.

By taking different combinations of the two delays ((tau_{1}) and (tau _{2})) as the bifurcation parameter, we have successfully studied the local stability of the proposed model and the existence of the local Hopf bifurcation.

Cladistic diagrams revealed that the accumulation of genetic alterations could not be explained by a linear model, and the existence of a hypothetical precursor cell was assumed in four patients.

In the present study, cladistic diagrams revealed that the genetic aberrations of individual tumours could not be explained by a linear model, and the existence of a hypothetical precursor cell was assumed in four of our five patients.

Thus the increase in the value of surface free energy can be explained by the increase of the surface roughness in the micro scale, that is wettability from the Wenzel model, and the existence of a number of polar functional groups on the surface originating from FeCl2.