Synsets for "ample"
Synset: ample.a.01
Synonyms: ample
Part of Speech: ADJECTIVE
Definition: more than enough in size or scope or capacity
Examples: had ample food for the party | an ample supply
Lemmas: ample
Hypernym:
Hyponym:
Antonyms: meager
Synset: ample.s.02
Synonyms: ample
Part of Speech: ADJECTIVE SATELLITE
Definition: affording an abundant supply
Examples: had ample food for the party | copious provisions | food is plentiful | a plenteous grape harvest | a rich supply
Lemmas: ample copious plenteous plentiful rich
Hypernym:
Hyponym:
Antonyms:
Synset: ample.s.03
Synonyms: ample
Part of Speech: ADJECTIVE SATELLITE
Definition: fairly large
Examples: a sizable fortune | an ample waistline | of ample proportions
Lemmas: ample sizable sizeable
Hypernym:
Hyponym:
Antonyms:
Related Wikipedia Samples:
Article | Related Text |
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Ample line bundle | A locally free sheaf (vector bundle) formula_44 on a variety is called ample if the invertible sheaf formula_45 on formula_46 is ample . |
Ample line bundle | at least 2"g" + 1 satisfies this condition so is very ample. This implies that a divisor is ample if and only if it has positive degree. The canonical divisor of degree 2"g" − 2 is very ample if and only if the curve is not |
Ample line bundle | In algebraic geometry, a very ample line bundle is one with enough global sections to set up an embedding of its base variety or manifold formula_1 into projective space. An ample line bundle is one such that some positive power is very ample. Globally generated sheaves are those with enough sections to define a morphism to projective space. |
Ample SDK | The Ample web page is an HTML document with decorations. To use the Ample framework you would include the runtime library in the head section of the HTML document and in addition the library for one or more GUI languages. |
Umple | The name Umple is a portmanteau of "UML", "ample" and "programming language", indicating that it is designed to provide ample features to extend programming languages with UML capabilities. |
Ample SDK | The runtime is the core module of the Ample SDK framework. It contains implementations for: |
Flat morphism | If "f" is quasi-compact and "L" is an invertible sheaf on "X", then "L" is "f"-ample or "f"-very ample if and only if its pullback "L"′ is "f"′-ample or "f"′-very ample, respectively. However, it is not true that "f" is projective if and only if "f"′ is projective. It is not even true that if "f" is proper and "f"′ is projective, then "f" is quasi-projective, because it is possible to have an "f"′-ample sheaf on "X"′ which does not descend to "X". |
Ample line bundle | For curves, a divisor "D" is very ample if and only if |
St. Paul's College (Manitoba) | Give ample scope to the imagination, emotion, and the intellect; |
Hezb-e Islami Gulbuddin | Despite its ample funding, it has been described as having |
Ample SDK | There is a jQuery-like plugin system in Ample SDK, some of the plugins coming with version 0.9.3: |
Indian Valley Municipal Golf Course | but a relatively accessible green with ample space around |
Sohagpur Coalfield | Sohagpur Coalfield has ample scope of Coalbed methane exploration. |
Union of Soviet Composers | - stimulation and creation of ample opportunities for composer creativity; |
Ayton, Scottish Borders | means were ample’ wrote his obituarist in the Berwickshire Journal, |
The Flores Trail | Ample parking, restroom facilities, and picnic areas are located in |
Positive form | is a positive definite (1,1)-form. The Kodaira embedding theorem claims that a positive line bundle is ample, and conversely, any ample line bundle admits a Hermitian metric with formula_17 positive. |
Stable vector bundle | for all proper non-zero subbundles "V" of "W". Informally this says that a bundle is stable if it is "more ample" than any proper subbundle, and is unstable if it contains a "more ample" subbundle. |
Zariski geometry | The further condition required is called "very ample" (cf. very ample line bundle). It is assumed there is an irreducible closed subset "P" of some "X", and an irreducible closed subset "Q" of "P"× "X"², with the following properties: |
Ample line bundle | To decide in practice when a Cartier divisor "D" corresponds to an ample line bundle, there are some geometric criteria. |