Sentence examples for each decomposition of from inspiring English sources

Namely the norm of an element of the form ∑i="(i1,…,id)ai⊗λ(gi1⋯gid) is less than 45√e ∥M0∥2+⋯+∥Md∥2)1/2, where M0,…,Md are d+1 different block-matrices naturally constructed from the family (ai i∈Id for each decomposition of Id≃Il×Id−l with l= 0,…,d.

In this method, each decomposition of the source function f ( x, y ) leads to a new homotopy.

For each decomposition of the parent peak, we build a fragmentation graph which contains all possible explanations for each peak, where nodes are colored by the peaks they originate from.

Comparing the thermogravimetric curves of chitosan-clinoptilolite and chitosan-saponite composites (with the curves of the initial chitosan and pure minerals; Fig. 3d, e), one could observe that the maximum of each decomposition region of composites was observed at lower temperatures than for similar process of the pure minerals.

The different stages of decomposition were separated and the influence of catalyst on each decomposition stage of the propellant is investigated.

The multiresolution structure and sparsity of wavelets are used for nonlocal dictionary learning in each decomposition level of the wavelets [23].

Instead, different key-dependent filters are used at each decomposition level of the wavelet transform and for each decomposition orientation (i.e., horizontal and vertical).

On each decomposition step of the EMD, the upper and lower envelops are initially unknown; thus, an interactive SP is applied for their approximation to obtain the IMFs and the residue, the 1D-EMD scheme is fully described in [1].

Iron was added to the appropriate particles by ion exchange with 0.01 M ferrous sulfate (3 cycles, 30 min each) before decomposition of the ammonium ions.

This results that S1 can be decomposed to S2 and S3 without loss of mass and, after each decomposition, the amount of S1 becomes doubled.

At each decomposition site, one set of litterbags was set out (Figure 1).