Sentence examples similar to multi dimensional situation from inspiring English sources
Both the numerical experiment and empirical case studies show that this generalized approach improves and extends the functionality of this Choquet nonlinear classification in more real-world multi-class multi-dimensional situations.
However, the above flames in statistically multi-dimensional situation may exhibit counter-gradient flux.
More general statements in Gilbarg and Trudinger (1998) also cover the multi-dimensional situation.
Primer V6 (PRIMER-E, Plymouth) was used to calculate Bray-Curtis similarities, to perform non-metric multi dimensional analysis (nMDS), and Analysis of Similarities (ANOSIM).
Nonmetric multi dimensional scaling (NMDS) analysis of the combined 20 samples showed the strong seasonal structuring of the community at L4 (Fig. 2).
Figure 1 shows an example of an inseparable two-dimensional space that becomes separable after the transformation of the input space from low dimensional to multi dimensional.
It also highlights the importance of inclusion of the role (school) functioning concept in measuring multi dimensional HRQOL.
Isomap was chosen over multi dimensional scaling approaches as it gave better results, in particular since dissimilarities are bounded from above (1 bit maximum).
The Ricci tensor has been computed in several infinite dimensional situations.
Our discussion takes place in the three-dimensional situation.
In this work, we restrict attention to the one-dimensional situation.
