Sentence examples for classifies up from inspiring English sources

During the same timeframe, Kirchberg (unpublished) and Phillips [85] independently proved a beautiful, deep result which classifies up to isomorphism a class of C ∗ -algebras satisfying various properties.

Based on this result, the measures from S are classified up to a homeomorphism.

(Most of the cables are unclassified, but some are classified up to the level of "secret").

The government of Niger has classified up to 750,000 people as severely food insecure in four regions.

The Steiner quadruple systems of order 16 are classified up to isomorphism by means of an exhaustive computer search.

These algebras, which generalise the analytic Toeplitz algebras of rank 2 graphs with a single vertex, are classified up to isometric isomorphism in terms of the matrix u.

We show that these algebras are inductive limits of finite direct sums of Kirchberg algebras and they are classified up to isomorphism by topological invariants.

They are completely classified up to unitary equivalence, and decomposed into a direct sum or direct integral of irreducible atomic representations.

For instance, they want to be allowed to classify up to 8% of all farm products as "sensitive" and therefore subject to different rules.

Moreover, we found that the method can correctly classify up to 99.19% of MNIST test images, which surpasses the best error rates reported for standard 3-layer ELMs or previous deep ELM approaches when applied to MNIST.

Adm. Mike McConnell will announce that the fiscal 2007 national intelligence program figure, classified up to now, is being made public at the urging of the Sept. 11 commission and the insistence of Congress, which turned the commission's recommendation into law.