Sentence examples for class of distinguished from inspiring English sources
The category ({text {Ho}}(mathcal {C})) with the shift (X mapsto X[1]) and the class of distinguished triangles defined above is a triangulated category in the sense of Definition 2.18.
A triangulated category is an additive category T equipped with an autoequivalence (X mapsto X[1]) and a class of distinguished triangles of the form Open image in new window (2.9 satisfying the following axioms: (TR1) For any (X in T), the triangle Open image in new window is distinguished.
Since the class of distinguished triangles is stable under weak equivalence, for triangles in ({text {DSec}}(I,mathcal {C}) subset {text {Ho}}({text {Sec}}(M(I),rho ^*mathcal {C}))), it suffices to evaluate at the terminal objects of the fibers (M(I _i) of the prefibration (rho :M(I) rightarrow I).
Bernoulli family, Two generations of distinguished Swiss mathematicians.
There is no mention in class of Mr. Kernighan's distinguished background.
Besides Marino, the other five quarterbacks from the distinguished class of 1983 -- John Elway, Jim Kelly, Todd Blackledge, Tony Eason and O'Brien -- were all here.
It also allows special financial offers for star professors and creates a new class of faculty member -- distinguished lecturer -- for artists, accountants, engineers and others not seeking tenure.
Einstein was willing to generalize the equivalence principle, and to conclude that the classical idea of a distinguished class of frames of reference has no physical basis.
Fullerene C60 as a representative of a new structurally distinguished class of carbon nanocompounds is of interest for biomedical application.
According to one approach what is fundamental to the nature of a veridical perception is the fact that it belongs to an epistemically distinguished class of perceptual experiences.
He had identified a distinguished class of dynamically equivalent "relative spaces," in any of which true forces and masses, accelerations and rotations, would have the same objectively measured values.
