Sentence examples for determinants of order from inspiring English sources

We have already constructed solutions of equation NLS in terms of determinants of order 2N which we call solution of order N depending on (2N-2) real parameters.

The present paper presents multi-parametric families of quasi rational solutions of NLS of order N in terms of determinants of order 2N dependent on (2N-2) real parameters.

where define the determinant of order with elements and.

In the case of only exclusion restrictions, it must "be possible to form at least one nonvanishing determinant of order M−1 from the columns of A corresponding to the variables excluded a priori from that equation", where A is the matrix of coefficients of the equations (Fisher 1966), p. 40.

This generalized eigenvalue problem can be manipulated such that the natural frequencies governing free vibration can be calculated instead by solving a much smaller characteristic determinant of orders×s.

First, the current system is far less stable because strategic relationships between major nuclear powers are no longer necessarily the primary determinants of international order.

In 2011, it has been constructed in[16] a new representation of the solutions of the NLS equation in terms of a ratio of two Wronskian determinants of even order 2N composed of elementary functions.

The stability limit, which separates the stable region from the unstable one for each disturbance with a given wavenumber, is determined in the form of a determinant of infinite order.

There is a need therefore to further delineate prognostic determinants of survival in order to better stratify those patients likely to benefit from treatment in order to avoid unnecessary toxicity and morbidity.

Across the United States health systems are recognizing the urgency of addressing the social determinants of health in order to improve population health.

This article describes why, how and with what results to date the participants in the governance of Scotland, broadly defined to include persons outside as well as within central government, have addressed the determinants of health in order to reduce inequality and, as a result, improve the health status of the population.