Sentence examples for multivariate case with from inspiring English sources

In multivariate case, with (Xin mathbf {R}^{n}), (ngeq1), there is an old and seemingly forgotten mean value theorem by Kowalewski [1, 2] as follows.

Madograms, rodograms and direct variograms for the univariate case and cross- and pseudo-cross variograms for the multivariate case, together with multi-seasonal spectral information, were used in a RF classifier to map the land cover types.

Its extension to the general multivariate case, involving gene sets with >2 genes, depends on the biological context.

Since SVAR deals with the multivariate case, the definition of Granger causality becomes complex, because of the existence of multi-steps connectivities.

The method may also be extended to the multivariate case or equivalently, the case of categorical traits with more than two states.

We develop some general results in the multivariate case and carry out extensive simulations in a univariate model with partly known regressors and several error distributions.

Traditional methods for sensitivity analysis of the model with scalar output fail to provide satisfactory results for this multivariate case.

Possible extensions to the multivariate case are also discussed.

Possible extensions to the multivariate case are discussed.

Surprisingly, there was a tendency to shift from a slight increase in ORIF for males with the bivariate case to a slight preference for females in the multivariate case.

discuss extended maximum spacing methods to the multivariate case.