Sentence examples for in the case of generalized from inspiring English sources

As in the case of generalized linear models link functions are specified to analyze non-normally distributed outcomes.

Sometimes formulations appear below with the phrase "(generalized) consequence relation", meaning that the claim being made or considered applies both in the case of consequence relations and in the case of generalized consequence relations.

It is easy to see that the latter phenomenon does not arise in the case of generalized consequence relations ⊩, since we can easily write down unconditional conditions on such relations which enforce the association with a particular truth-function on valuations in Val.

The new schemes outperform in terms of SNR other lattice quantization structures presented in the literature in the case of generalized Gaussian source densities with decay parameters 0.5, 1 and 2. In addition, when used for LSF quantization they can achieve a mean spectral distortion below 1 dB at only 19 bits, being superior to the G.729 speech coder.

Kim and Lee [4] proved that the theory of fuzzy sets, initiated by Zadeh [5], has become a good framework for studying the equilibrium existence in the case of generalized games when the constraints or preferences are imprecise due to the agents' behavior.

The poor performance in the case of generalized Rényi divergence can be explained by fact that the assumed models of the probability distribution of the amplitudes and log amplitudes are not exact enough to be used with generalized Rényi divergence for a successful solution of the permutation problem.

Especially, our Theorem 3.1 extends the existence of solution in the literature to the case of generalized extended nonlinear variational inequality (2.1).

The three-dimensional steady-state heat conduction and thermoelasticity equations, simplified to the case of generalized plane strain deformations in the axial direction, are solved analytically.

The three-dimensional linear elastodynamics equations, simplified to the case of generalized plane strain deformation in the axial direction, are solved using suitable displacement functions that identically satisfy the boundary conditions.

In the case of a generalized ethylenic compound, CH2=CHR, stereoregular polymerization may yield three different arrangements of the polymer: an isotactic polymer, a syndiotactic polymer, and an atactic polymer.

We also show the uniqueness of the common fixed point in the case of a generalized ordered g-quasicontraction mapping.