Sentence examples for values of the determinants from inspiring English sources

2 The determinant of a mean of SPD matrices remains bounded by the values of the determinants of the averaged matrices.

The predictive value of the determinants for the primary and secondary outcome measures (ie, SCC, OCP, QoL, subjective recovery and ADL functioning) at T3 and T4 will be determined using multivariate regression analysis.

The developed design consists of an initial NH4+ N pulse to a nitrifying biomass sample followed by an additional NO2− N pulse at an optimal time point, which can be rigorously determined by maximizing the value of the determinant of the Fisher information matrix, Det(F) or, alternatively, by visually identifying the point of NH4+ N depletion during the respirometric assay.

Some certain classes of paths are defined and it is shown that their various combinations determine the upper bound of the value of the determinant of the adjacency matrix.

We introduce a definition of the volume of a general rectangular matrix, which is equivalent to an absolute value of the determinant for square matrices.

We prove some lower bounds on the size of such circuits and the restricted rigidity of matrices in terms of the absolute value of the determinant of the matrix.

A direct extension of D-optimal design is to consider the expected value of the determinant of the information matrix with respect to the possible fluctuations of the experimental variables.

Besides, this method finds out the values of the frequency by Newton Raphson iteration method, so no plotting of the value of the determinant versus assumed frequency is necessary.

The absolute value of the determinant of a matrix corresponds to the volume of the parallelepiped spanned by those vectors, which can be thought of as a measure of the channel quality and the distance between user channels.

It is shown that if D-optimality is measured by the expected value of the determinant of the information matrix of the experimental design, as has been suggested in the past, on average the designs appear to improve with the variance of the error in setting the factor levels.

Any trial value of ωj that renders the value of the determinant ∣B∣ vanishes denoting one of the eigenvalues of the uniform circular shaft carrying multiple concentrated elements, and the substitution of the associated integration constants into the relevant eigenfunctions determines the corresponding mode shape.