Sentence examples for By the determinant from inspiring English sources

The expression of [4, Theorem 2.1] is given by some finite series of and on the other hand, the expression of Proposition 1.1 is by the determinant.

The estimated symbol vector x ̂ is a scaled version of the transmitted signal, and it is scaled exactly by the determinant Δ.

During matrix inversion process, all the matrix element in (H H H −1 should be normalized by determinant Δ = det H H H = N 0 2 N 1 2 − C 2. However, due to fixed-point implementation complexity and numerical instability issues, division operation by the determinant should be avoided if possible.

This is achieved by the determinant of the information matrix M =  FFT, which roughly corresponds to the geometric mean of the variances of the four parameter estimates.

Denoting by square brackets the volume determined by n independent vectors relative to a chosen basis: a i = Σ x i j e j, the volume is given by the determinant of the matrix of the vector components (the wedge product of n of n vectors).

Voxelwise volume change induced by the transformation between each image and the template can be characterized by the determinant of the Jacobian operator applied to the transformation at any given point in the template space, referred to here as the Jacobian.

By Hendrik Hertzberg August 12, 2008 I've been maintaining for months that the most significant metric in the Democratic race will ultimately be the popular vote, even though the official, by-the-rules determinant is convention delegates, elected and "super".

Singularities of a mechanism can be determined by judging the determinant of its Jacobian matrix [33].

The frequency equations of these membranes are given by the determinants of the system matrices obtained when the compatibility conditions are considered on the common boundaries along which the sub-domains adjoin each other.

Use of institutional care at the end of life was partly accounted for by health problems, but was not fully explained by the determinants included.

First, we add to the existent literature by focusing on the determinant factors of the capital structure of an emerging country, namely Tunisia.