Sentence examples for using a normal form from inspiring English sources

The resonant response functions are derived using a normal form transformation which is carried out directly on the second-order nonlinear oscillator.

Using a normal form, one can represent concepts in a unified way.

Using a normal form of (T^{-1}), it is not difficult to verify that these sets have the properties claimed by Proposition 2, so the proof is omitted.

The percentage of patients reporting improvements MCID was compared between tofacitinib and placebo groups using a normal approximation to the binomial (by forming a z score) to calculate numbers needed to treat (NNT).

The rules are triggered iteratively using a fixed-point algorithm until a normal form is obtained [72].

We also proposed a normal form which is used to represent concepts in a unified way.

Children consider physical violence/abuse to be a "normal" form of discipline used by parents and relatives to punish and teach children obedience.

Explicit formulas determining the properties of a Hopf bifurcation are obtained by using the normal form method and the center manifold theorem.

The analytical conditions for the applicability of a Non-linear Superposition Technique (NST) are established by using the Normal Form Method (NFM).

By using the normal form method and the center manifold theory, we derive the explicit formulas for determining the direction and stability of Hopf bifurcation.

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.