Sentence examples for determinant can be from inspiring English sources

The inequalities of the determinant can be applied to estimate the spectral of a matrix and to determine the nonsingularity of a matrix, etc, which are useful in numerical analysis.

Note that the Wronskian determinant can be defined by the following formula (see [10]): (5.15).

Provided that the coupling between the subsystems is weak, the determinant can be expanded in some parameters κ characterizing the coupling strength.

In Case a, since F D,i is the block diagonal matrix, its determinant can be written as begin{array}rcl@ text{det}{mathbf{F}_{D,i}}=text{det}{mathbf{F}_{D,i,1}}cdottext{det}{mathbf{F}_{D,i,2}}.

Since elements a ij of stiffness matrix include products of linear terms corresponding to cross-sectional areas, the determinant can be simplified as left| {mathbf{K}} right| = f(A^{n} ), (23 where f(A n ) is an n-order polynomial of cross-sectional area variables A, and n is the order of the stiffness matrix, equal to the DOF of the structure system.

For the transformation given in Eq. (17), the determinant can be easily computed.

However, more research is needed to further examine how risk behaviours cluster among adolescents and young adults and further investigations are warranted to determine if shared determinants can be identified.

Our research programme includes a team of researchers and knowledge users in Ecuador (Breilh 2011) who have prioritized an epistemology focusing on the critical processes that influence the social determination of health, more so than on the pathways where various social determinants can be observed (Breilh 2008, 2011; Breilh et al. 2014).

We show how the analytical expression of such expected determinants can be obtained when the experimental variables are stochastically independent.

New antigenic determinants can be attached to self proteins, or the shape of a self antigen can shift for a variety of reasons so that previously unresponsive helper T cells are stimulated and can cooperate with preexisting B cells to secrete autoantibodies.

These demographic features of retinal nerve cell populations are each complex traits controlled by multiple genes affecting different processes during development, and their genetic determinants can be dissected by correlating variation in these traits with their genomic architecture across recombinant-inbred mouse strains.