Sentence examples for decomposition 1 from inspiring English sources

There are two methods for finding this decomposition: (1) Find a simultaneous isotropic subspace of K n.

This chapter considers two areas, in which progress might be expected to advance the acceptance and use of EMG decomposition: (1) increased sharing of signals and algorithms between laboratories, and (2) objective methods for assessing decomposition accuracy.

On the other hand, using the spectral decomposition (1), we define the determinant and trace of x in the framework of circular cone as det ( x ) : = λ 1 ( x ) λ 2 ( x ) and tr ( x ) : = λ 1 ( x ) + λ 2 ( x ), respectively.

The notation C = [ [ A, A, D ] ] + V refers to the INDSCAL decomposition (1) of with the associated loading matrices and D = d 1, ⋯, d P ∈ R K × P. If and only if the residual is a null tensor, we have an exact INDSCAL decomposition.

2 Possessing attributes of high steric bulk and low nucleophilicity, without any β-hydrogen atoms (the presence of which often disadvantages its diisopropylamido analogue 3 through β-hydride decomposition), 1 is usually employed as its lithium salt, LiTMP, which exists as a cyclotetramer in the crystal.

All in all, the Bayesian hierarchical diffusion model decomposition (1) does not assume normal RT distributions, (2) accounts for error trials and the speed accuracy trade-off, (3) allows for fine-grained assessment of approach avoidance tendencies, (4) respects individual differences and (5) estimates latent psychological processes involved in the AAT.

Studies of elevated carbon dioxide concentrations have demonstrated potential impacts on nutrient availability, primary productivity and decomposition [ 1, 9, 10].

Early models associate the gelation process, which occurs when isotropic solutions of PBLG are cooled, with liquid liquid phase separation by "spinodal decomposition" [ 1, 24, 25].

We present the performance of our method in the context of some of the most efficient and well-known solutions proposed so far by Kim [11] and our previous method based on truncated cone decomposition [1].

The contributions found in this special issue can be categorized to three main aspects of microphone array processing: (i) microphone array design based on eigenmode decomposition [1, 4]; (ii) multichannel processing methods [2, 5]; and (iii) source localisation [3, 6].

Then its decomposition, (3.8).