Sentence examples for generalization form from inspiring English sources

The following theorem is a modification and generalization form of the above theorem which is the most important consequence of this article.

ℐ-convergence is a generalization form of statistical convergence, which was introduced by Fast (see [8]) and that is based on the notion of an ideal of the subset of positive integers ℕ. Definition 1.1 A family I ⊂ 2 N is said to be an ideal of ℕ if the following conditions hold: (a) A, B ∈ I implies A ∪ B ∈ I,   (b) A ∈ I, B ⊂ A implies B ∈ I.  .

Yerushalmy (1987 , 1993 decomposed students' work on conjecturing tasks into three conjecturing activities: developing and identifying categories for generalization, forming a coherent sample of instances, and inducing generality from a sample of instances.

However, Eq. (1) is different from other NLS equation and its generalization forms [2, 3, 6 11, 15 18] owing to the term (u_{xt}); to the best of our knowledge, the modulational instability, generalized ((n,N-n -fold DT, an,N-n -foldder rogue wave solution,N-n -fold1) have not been stuDTed yet.

Indeed, by conflating religion and ideology in this way, Mr. Bruni exemplifies a version of the very thing he means to critique: evidence-free, broad-brush generalization, a form of argument that simply asserts its presumptions.

These findings led Lashley to conclude that in rats "there must be some primitive generalization of form which goes beyond the recognition of identical elements" [138], which is what modern investigators would refer to as transformation-invariant or, more properly, transformation-tolerant visual object recognition (namely, size-tolerant, clutter-tolerant and luminance-tolerant recognition).

Cross modal associations, stored as a higher-order tensor, are learned incrementally as these generalizations are formed.

Automatic generalization mechanisms should form part of these applications.

Speculations that are based on the initial insights of a mythical theme explicate some principle in the myth as a basis for generalization and logical form on which all elements and themes may be ordered.

In previous treatments the spatial variation of the elastic stiffness has been modeled by a power law and here a slight generalization for the form of the elastic stiffness is given.

Nonexpansive mappings and its generalization are important form applications of view.