Sentence examples for straightforward transformations from inspiring English sources

We first show that calendering induces modifications of the surface on all length scales measured and that these modifications are related by straightforward transformations.

After straightforward transformations, we rewrite: U D ( X, Y ) = − kQ q 0 L 2 Π ∫ 0 ∞ dt t J 0 X 2 + Y 2 Π t J 1 ( t ), Open image in new window (11).

The task of axiomatizing PIC is that of finding a set of valid wffs, preferably few in number and relatively simple in structure, from which all other valid wffs of the system can be derived by straightforward transformation rules.

This fact allows for a straightforward transformation from the SRMHD physics module of MPI-AMRVAC into a full GRMHD code.

But it is shown that a straightforward transformation of the routes to those on the Manhattan grid is possible keeping the property of equidistance.

A Gaussian anamorphosis technique is used to establish a seamless bridge between the data assimilation using the PMCMC and the uncertainty propagation using the FPCE through a straightforward transformation of posterior distributions of model parameters.

Although these algorithms and complexity results are for reconstructing phylogenies from experiments, they also apply to quartet-based phylogeny reconstruction through straightforward transformation.

This proved challenging, but after some experimentation we found that chloropyran 27 could be prepared by treating lactol 26 with a mixture of thionyl chloride and zinc II) chloride.[ 25] This seemingly straightforward transformation in fact proceeds via initial and rapid formation of dimer 28, which over a period of 3 h is converted into the targeted chloropyran 27 (see graph in Scheme 5).

The coordinates of \(p\) relative to any other coordinate system \(S'\) can be determined by a straightforward algebraic transformation: these coordinates represent the appearance of the object corresponding to \(p\) to the subject represented by \(S'\).

To this end, this paper proposes a statistical approach to long-term solar energy availability characterization based on analysis of historical insolation data, augmented by a normalization procedure implementing straightforward data set transformations.

Analysis of risk for quantitative traits is even more straightforward, as such transformations are unnecessary, and much of the discussion below is equally applicable to such non-categorical scenarios.