Sentence examples for inverse integrating factor from inspiring English sources

Moreover, the integrability of a class of systems (quasidegenerate infinity systems) which generalize the so-called degenerate infinity vector fields is considered, and a method how to obtain an inverse integrating factor of the systems from the first integrals of the corresponding quasihomogeneous systems is shown.

We also check our computation by the inverse integrating factor method.

The inverse integrating factor method for the planar systems with a third-order nilpotent critical point was also discussed in [14, 15].

For a quartic system with third-order critical point, 11 limit cycles were obtained in [1] by using the inverse integrating factor method.

By solving the systems of ordinary differential equations which are established by using the vector fields of the quasihomogeneous systems, one can obtain an inverse integrating factor of the systems.

Fortunately, Yirong Liu and Jibin Li [21] found that there always exists a formal inverse integrating factor for three-order nilpotent critical points in 2009, and they gave a new definition of the focal values under the generalized triangle polar coordinates and the method of commuting Lyapunov constants using the inverse integral factors for the three-order nilpotent critical point.

Here, statistics is mentioned as one of the integrating factors.

The integrating factor is, well, I integrate one over x.

The algorithm to determine the sparsity pattern of the inverse triangular factor of A22 is obviously useful only in inversion algorithms that use the inverse triangular factor.

INTRODUCTION: high-density lipoprotein (HDL) cholesterol is a well-established inverse risk factor for cardiovascular disease.

where is the inverse transformation matrix, and is the inverse postscaling factor matrix, which are defined as (6).