Sentence examples for as a substantial generalization of from inspiring English sources

The core element of the proposed algorithm, making it competitive and even superior to the algorithms with higher communication requirements proposed in [7, 8], is the distributed adaptation scheme, developed as a substantial generalization of the adaptation strategy originally described in [2, 3] (see also [16]).

We next prove that even a substantial generalization of this transformation cannot be a compiler for even a very restricted class of 3-process programs.

We provide an example to show that our results are a substantial generalization of comparable results in the existing literature.

This objective requires a substantial generalization of methods utilized for ex post analysis of input-output databases for past years.

Example 2.1 below shows that Theorem 2.6 is a substantial generalization of Theorem 2.1 in [2] and Theorems 2.1 and 2.2 in [4].

Our result provides a substantial generalization, as well as a new analytical proof, of an estimate by Frenkel (2007) [10], and also constitutes a natural real counterpart to an inequality established by Arias-de-Reyna (1998) [2] in the framework of complex Gaussian vectors.

This finding may be related to the substantial generalization of learning to the untrained sequences.

"The viewpoint of complementarity may be regarded", according to Bohr, "as a rational generalization of the very ideal of causality".

It can be interpreted as a nonlinear generalization of loadings within the linear PCA framework.

As a natural generalization of RNA secondary structures k-noncrossing RNA structures [ 27- 29] were introduced.

From an algorithmic point of view, our method can be seen as a broad generalization of thresholding methods.