Sentence examples for generalized varieties from inspiring English sources

Exact(2)

The evidence that generalized varieties can be further classified into at least two major subgroups seems compelling (3, 4).

Recently the Toronto Diabetic Neuropathy Expert Group suggested a further division of the generalized varieties into two subgroups of typical and atypical reflecting differences of onset, course, clinical manifestations, associations, and pathophysiology.

Similar(58)

In the generalized variety (encountered in only 15% cases), lesions are more widespread, consisting of papules as well as plaques, and involve the trunk, neck, extremities, face, scalp, palms and soles.

As main result of the present paper we show that for a generic choice of their parameters the generalized polar varieties of V are empty or equidimensional and smooth in any regular point of V.

In the case that the variety V is affine and smooth and has a complete intersection ideal of definition, we are able, for a generic parameter choice, to describe locally the generalized polar varieties of V by explicit equations.

Tsoularis and Wallace [14] performed a thorough study on a variety of growth equations to model population dynamics and presented a generalized form of the logistic growth equation.

There is a generalized form as well.

As particular instances of this notion of a generalized polar variety one reobtains the classic one and an alternative type of a polar variety, called dual.

[CPSZ06]; K. Zainoulline, Motivic decomposition of a generalized Severi Brauer variety, arXiv: math.AG/0601666.

Thomas (3) and Boulton et al. (4) separated these into generalized and focal/multifocal varieties (e.g., multiple mononeuropathy, lumbosacral, thoracic, and cervical radiculoplexus neuropathies) (3, 4).

Serotonin (5-HT) has been shown to exert antiepileptic effects in a variety of generalized convulsive seizure models, particularly the genetically epilepsy-prone rat (GEPR).

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