Sentence examples for functions of dimensions from inspiring English sources

Performance measurements with 37 standard test functions of dimensions ranging from 1 to 100 show that the SNMA has very good scalability and outperforms other algorithms in accurately locating multiple optima, both global and local.

Since (langle varphi _0,varvec{nabla }varphi _0 rangle =0) (by either the reality of (varphi ) or its spherical symmetry), the Hughes Eckart terms contribute nothing to the calculation of (langle varphi,Hvarphi rangle ) and we get a subspace of trial functions of dimension (tfrac{1}{6}k k+1)(2k+1)) with (J_k=-1-1/4k^2 J_k=-1-1/4k^2 J_k=-1-1/4k^2

In the light of simulation results, the effects of carrier trapping and carrier transit on the device capacitances as a function of dimensions are analysed and compared.

The full representation of a d-variate function requires exponentially storage size as a function of dimension d and high computational cost.

Such methods are typically forced to reduce step-sizes as the discretization gets finer, and thus are expensive as a function of dimension.

Let F be a function of dimension reduction or feature extraction of a time-series sequence.

Figure 8 MSE of the phase estimation as a function of dimension for various message representations.

Figure 9 Bit error rate as a function of dimension for various message representations.

Top: the average error α ( A, A ~ ) evolution of all the algorithms as a function of dimension K. Bottom: the average numerical complexities (left) and the CPU time (right) of all the algorithms, respectively.

Although these changes in LV dimension are small, volume is a cubic function of dimension, so the changes are considerable a calculated 64% increase in ESD (saline vs. UCn2) and a 46% increase in EDD (saline vs. UCn2).

A very recent example developed at Educational Testing Service (ETS), in contrast to the PISA CPS framework, does not try to separate cognitive and social dimensions, but instead focuses on the integrated functions of both dimensions in supporting the building of knowledge.