Sentence examples for determinants can be from inspiring English sources

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).

Seventeen major determinants Critical in this study under four major dimensions; hence, more determinants can be considered in future research.

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

The introduction of some additional determinants can be useful, and the appropriate coding of these determinants allows using hidden Markov models (HMM) for recognition.

For the use of Hankel determinants in the study of meromorphic functions, see [2], and various properties of these determinants can be found in [[3], Chapter 4].

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.