Sentence examples for reduction the boundaries from inspiring English sources

A highly dispersed structure of iron in the form of a chaotic accumulation of its particles of microscopic size is formed In terms of low-temperature reduction, the boundaries of contact of particles have the highest catalytic activity, where the nucleation of a new phase occurs in the form of ring-shaped cuffs due to emitted carbon while carbon monoxide decomposes.

Moreover, the suction causes the reduction of the boundary layer.

Algorithm 1 The standard algorithm for the reduction of the boundary matrix to barcodes.

Many other algorithms have been proposed for the reduction of the boundary matrix.

These are the VR complex and the standard and dual algorithms for the reduction of the boundary matrix.

This is achieved by the construction of a suitable parametrix and reduction to the boundary.

The original formulation of BMS includes a modal reduction of the boundary that must be recomputed for every wave vector.

As we mentioned in Section 4, for the reduction of the boundary matrix and thus the computation of PH, it is crucial that one uses simplicial homology with coefficients in a field; see [61] for details.

In particular, in the paper [4] a Calderón method of reduction to the boundary was applied to deal with the case where ω vanishes on a set Ω 1 of positive measure.

Milosavljević, Morozov, and Skraba [124] introduced an algorithm for the reduction of the boundary matrix in (mathcal {O}(n^{omega})), where ω is the matrix-multiplication coefficient (i.e., (mathcal {O}(n^{omega})) is the complexity of the multiplication of two square matrices of size n).

As we saw in Section 5, much work has been done on step 2 (i.e., going from filtered complexes to barcodes) of the PH pipeline of Figure 6, and there exist implementations of many fast algorithms for the reduction of the boundary matrix.