Sentence examples for surprising criterion from inspiring English sources

In the case when the field k has characteristic zero, in articles [6],[11], a surprising criterion for isomorphism of Artinian Gorenstein algebras was found.

Recently, the following surprising criterion has been obtained: two Artinian Gorenstein algebras A and are isomorphic if and only if any two hypersurfaces S π and arising from A and, respectively, are affinely equivalent.

Its shareholders use surprising criteria to recommend stocks.

Analysis of a linear one-dimensional model problem suggests a surprising convergence criterion which is supported by heuristic arguments and confirmed by an extensive collection of two-dimensional numerical results.

This is not surprising as the criterion for being in co-presence is less strict than for being in contact.

This is not surprising since the criterion adopted in[14] focuses only on minimizing the aggregate errors between the multi-scale channel and its single-scale approximation, which is different from our criterion.

This distinct pattern is surprising since the criterion for classifying functional groups was only based on the simple morphological distinction of the presence versus absence of an upper cortex, while lichen species composition was random.

It is also perhaps not surprising that these criteria work to the detriment of immigrants.

This is not surprising given the criteria used to classify women as high non-tryers.

To the dispassionate observer, it seems surprising that these criteria still predominate and are favored by the NIH panel.

This decrease from the ITT population is not surprising, given that criteria for inclusion in this group required completion of 12 weeks of treatment.