Sentence examples for expansion of each from inspiring English sources

In addition we employed a spherical harmonic expansion of each component of stress over orientation space.

Yet even here the depth extends only to two and a half dimensions, like a diagrammatic expansion of each painting's layers or a column of shifting screens.

However, the superiority of the PSOVRNN over the PRNN is at the cost of increasing computational complexity due to the introduced nonlinear expansion of each module.

The first method uses the symbolic manipulation language Maple to evaluate either the Taylor series expansion or an asymptotic expansion of each function.

The dataset were then fitted in a Time Series (TS) regression model to predict the ASR-induced expansion of each aggregate group for up to 98 days.

The measured equilibrium thickness expansion of each film, exposed to different activities of the vapor penetrant, is used to determine the sorption isotherm of the system.

Thus, in the expansion of D, each summand has q factors, and the sum of the subscripts of the factors of each summand is q 2 − q.

Over the years, the council has strongly opposed the creation and expansions of each of the marine monuments.

It was also found the lattice thermal expansions of each phase constituent is greatly suppressed, and this means that the thermal expansion coefficient of the composite matches better with the electrolyte of solid-oxide fuel cells.

The definition of these sublineages was supported even after putative recombinant genomic regions were removed from the analysis, as presented here and by Deleo et al. ST258/512 and ST395 were each defined as tight clusters separated by deep branches, indicating long-term divergence from the MRCA followed by recent independent clonal expansions of each sublineage.

The LII currently models the PTOA as a single relationship between individual pairs of identifiers, asserting that each pair in a combinatorial expansion of entries on each side of the table has some such relationship.