Sentence examples similar to using the normal theory from inspiring English sources

This proportion was tested as a one-sample test using the normal-theory method.

By using the normal form theory and center manifold theory we also derive some explicit formulae determining the bifurcation direction and the stability of the bifurcated periodic solutions.

Some explicit formulas are worked out for determining the stability and the direction of the bifurcated periodic solutions by using the normal form theory and center manifold theory.

Properties of Hopf bifurcation such as direction and stability of bifurcating periodic solutions are determined by using the normal form theory and centre manifold theorem.

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

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.

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.

In particular, the properties of the Hopf bifurcation have also been investigated by using the normal form theory and the center manifold theorem.

Furthermore, some explicit formulae for determining the stability and the direction of the Hopf bifurcation are derived by using the normal form theory and the center manifold theorem.

In Section 3, we determine direction and stability of the Hopf bifurcation by using the normal form theory and the center manifold theorem.