Sentence examples for the former corresponding from inspiring English sources

Assuming this scenario, we split the electromagnetic fields into their primary and secondary components, the former corresponding to the 1D contribution, and the latter to the 2D inhomogeneities.

Since there are many different ways to analyse such data, we choose a Bayesian and a frequentist version, the former corresponding to a functional ANOVA (FANOVA) model.

Second, the threshold of a is expected to be between 0.118 and 0.437 ns, with the former corresponding to 1 ambiguity for the X-band carrier and the latter to 1 ambiguity for the S-band carrier.

Besides, once alternative embedding procedure is adopted--the trajectory matrix S has Hankel structure but not Toeplitz structure (see [8, 9] for example), the properties of H i (e jω ) and F i (e jω ) will interchange, i.e., the former corresponding to an anti-casual filter whereas the latter a casual filter.

A comparison with calculated values of HOMO LUMO energies (the former corresponding to the ionization potentials Ei) shows strong correlations between calculated and experimentally obtained data; they are in close agreement with estimates in terms of electron-donating and -withdrawing effects from an empirical point of view.

It is also notable that the XDR strain, KZN-R506, contains two additional mutations in rpoB, L452P and I1106T; the former (corresponding to Leu 533 in E. coli) is also thought to cause RIF-resistance, while the latter is not.

In this framework, we are able to analyze the aggregate and disaggregate welfare effects for each cohort the former corresponding to a single representative agent within a cohort and the latter to possibly heterogeneous effects for agents of different abilities and preferences.

Despite the simplicity of the former, the corresponding peak potential of nicotine oxidation through this method is much higher than the similar previous findings with other methods [8].

The former is corresponding to radiative recombination of quantum confined electron-hole pair that in energy is a little smaller than the energy bandgap of nanocrystals [24].

In the former case, corresponding to the computation of (mathbf{w} _{h} x,y,z,t^{n})) at step 1 above, we require that the reconstructed polynomial must preserve the cell-averages of the conserved variables over each element (I_{ijk}).

This requires that one end is mapped with confidence and the other end is not mapped with confidence but with the latter end instead placed within a specified distance away from the former end corresponding to the expected insert size distribution.