Sentence examples for by using the normal from inspiring English sources

The GVF equation is normalized by using the normal depth hn.

We tested against the null hypotheses of classification at the chance level (r = 0.5) by using the normal approximation to the binomial density, which allowed us to compute p values.

By using the normal form theory and center manifold reduction for PFDEs developed by [23].

Furthermore, the properties of the Hopf bifurcation are determined by using the normal form method and center manifold theory.

A series of cyclical sequence can be simulated by using the normal forward induction algorithm mentioned above.

Furthermore, the properties of the Hopf bifurcation are investigated by using the normal form theory and the center manifold theorem.

Furthermore, properties of the Hopf bifurcation are investigated by using the normal form theory and the center manifold theorem.

Further, the properties of Hopf bifurcation are studied by using the normal form method and the center manifold theorem.

The FGAs are derived by using the normal reduction, the height reduction, and the Earth tide reduction.

As for boundary functions and, it is easy to obtain their constructions by using the normal boundary function method.

Subsequent to that, the direction and stability of the bifurcating periodic solutions are determined by using the normal form theory and the center manifold theorem.