Sentence examples for dimensions vector from inspiring English sources

So, Eq. (1) was simplified to mathop sum limits_{text{j}} {text{a}}_{ij} cdot {text{f}}_{j} = {text{r}}_{i} (2)or A ; times ; F; = ; r, (3)where A, m × n matrix of stoichiometry; F, n dimensions vector of reaction rate; and r, m dimension vector of metabolite specific rate.

To further evaluate the classification performance of SVM, we used different methods for obtaining some good gait features from the originally defined gait pattern including 101 dimensions vector: (1) selection of the six vital gait parameters (Fz1, Fz2, Fz3, Tz1, Tz2, and Tz3) as a gait feature vector and (2) extraction of some gait feature vector from a gait pattern by PCA.

In order to capture more information related to dynamic of gait from the recorded data, all values of gait parameters measured during a gait cycle were defined as a gait pattern; namely, each gait pattern is denoted as 101 dimensions vector according to sampling at each 1% within a normalized stance phase.

Meanwhile, when the initially defined gait patterns (101 dimensions vector) and the six important gait features selected, respectively, were used as the inputs of SVM, their best result of SVM classification is almost the same (i.e., accuracy: 0.86-0.87, sensitivity: 0.85-0.86, and specificity: 0.85).

If any point of a simplex is taken as the origin, the n other points define vector directions that span the n-dimension vector space.

A feature vector is an m-dimension vector.

After that, 16 MFCC vectors are converted to one 16  (times )  18 dimension vector.

Let Y = P ( c ) / S ( a ), its dimension vector is ( 0, 1, 1 ).

Now consider an auxiliary full-dimension vector v defined such that v = Φ + e k.

The protein target is represented in 147-dimension vector by the CTD feature.

Then C has dimension vector ( n 2 - 1, n ), thus dim Hom ( C, Y ) = n.