Sentence examples for determinant of order from inspiring English sources

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.

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.

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.

The advantage of the proposed methods is that the frequency equation for two rods coupled by translational springs can be established in terms of a determinant of 2-order for any number of translational springs and concentrated masses.

In the context of existing literature indicating that cost is an important determinant of court ordered psychiatric evaluations [ 2- 5], the reduction in the prevalence of inpatient psychiatric evaluations after the Court of Appeals opinion is unsurprising, though the magnitude of this reduction in a span of two months is striking.

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.

Therefore, as long as two highly sensitive fourth-generation tests are used, which test is more sensitive may not be the primary determinant of the test order.