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7 Sentences With "ampleness"

How to use ampleness in a sentence? Find typical usage patterns (collocations)/phrases/context for "ampleness" and check conjugation/comparative form for "ampleness". Mastering all the usages of "ampleness" from sentence examples published by news publications.

After her fall, she started wearing ample sweaters, not the lousy kind you see on depressive people but sweaters of well-shaped ampleness, made of pretty wools.
It is a strange fate that everything that I have, of set artistic purpose, laboured to leave indefinite, suggestive, in the penumbra of initial inspiration, should have that light turned on to it and its insignificance (as compared with I might say without megalomania the ampleness of my conceptions) exposed for any fool to comment upon. . . .
A line bundle is ample if some positive power is very ample. An ample line bundle on a projective variety X has positive degree on every curve in X. The converse is not quite true, but there are corrected versions of the converse, the Nakai–Moishezon and Kleiman criteria for ampleness.
In view of the correspondence between line bundles and divisors (built from codimension-1 subvarieties), there is an equivalent notion of an ample divisor. In more detail, a line bundle is called basepoint- free if it has enough sections to give a morphism to projective space. A line bundle is semi-ample if some positive power of it is basepoint-free; semi- ampleness is a kind of "nonnegativity". More strongly, a line bundle on X is very ample if it has enough sections to give a closed immersion (or "embedding") of X into projective space.
Then, the Dâmbovița River flooded large parts of Bucharest, lying from Grozăvești to Vitan. According to some documents cited by historian Dan Falcan, the water level reached up to three meters in some areas, ravaging Calea Rahovei, the Manuc's Inn and the Mihai Vodă Hill. Moreover, the circulation was totally interrupted, and water and food supply were made with great difficulty. In an article from The Illustrated London News appears that "nearly one-half of the straggling extent of Bucharest is submerged", showing the ampleness of the flood.
On a projective scheme X over a field, Kleiman's criterion implies that ampleness is an open condition on the class of an R-divisor (an R-linear combination of Cartier divisors) in N^1(X), with its topology based on the topology of the real numbers. (An R-divisor is defined to be ample if it can be written as a positive linear combination of ample Cartier divisors.Lazarsfeld (2004), Definition 1.3.11.) An elementary special case is: for an ample divisor H and any divisor E, there is a positive real number b such that H+aE is ample for all real numbers a of absolute value less than b.
First systematic excavations, that actually were only information surveys, were taken in 1958, within the pale of archaeological site of Porolissum, where performed its works a large group of researchers, led by regretted professor Mihail Macrea. Of his commission and modest funds provided by the Museum of Zalău, they began the excavations at the castra, excavations that were conceived to unfold several years and would receive a greater ampleness. But, unfortunately, the excavations were limited to 1958, to what they could do then, not to be resumed. Otherwise, excavations from Porolissum were stopped the following year, because the same reasons of deformed and arbitrary historical photics.

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