sheaf
Pronunciation Noun
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Pronunciation Noun
sheaf (plural sheaves)
- A quantity of the stalks and ears of wheat, rye, or other grain, bound together; a bundle of grain or straw.
- 1593, William Shakespeare, Titus Andronicus, Act V, Scene III, line 70:
- O, let me teach you how to knit again / This scattered corn into one mutual sheaf, / These broken limbs again into one body.
- circa 1697 John Dryden, “Georgic I”, in The Works of Virgil:
- E’en while the reaper fills his greedy hands, / And binds the golden sheaves in brittle bands
- 1593, William Shakespeare, Titus Andronicus, Act V, Scene III, line 70:
- Any collection of things bound together; a bundle.
- a sheaf of paper
- A bundle of arrows sufficient to fill a quiver, or the allowance of each archer.
- A quantity of arrows, usually twenty-four.
- 1786, Francis Grose, A Treatise on Ancient Armour and Weapons, page 34:
- Arrows were anciently made of reeds, afterwards of cornel wood, and occasionally of every species of wood: but according to Roger Ascham, ash was best; arrows were reckoned by sheaves, a sheaf consisted of twenty-four arrows.
- 1786, Francis Grose, A Treatise on Ancient Armour and Weapons, page 34:
- (mechanical) A sheave.
- (mathematics) An abstract construct in topology that associates data to the open sets of a topological space, together with well-defined restrictions from larger to smaller open sets, subject to the condition that compatible data on overlapping open sets corresponds, via the restrictions, to a unique datum on the union of the open sets.
, "[[w:Differentiable manifold#Structure sheaf", Wikipedia - Sometimes, it can be useful to use an alternative approach to endow a manifold with a Ck-structure. Here k = 1, 2, ..., ∞, or ω for real analytic manifolds. Instead of considering coordinate charts, it is possible to start with functions defined on the manifold itself. The structure sheaf of M, denoted Ck, is a sort of functor that defines, for each open set U ⊂ M, an algebra Ck(U) of continuous functions U → R.
- (bundle of grain) reap
- French: gerbe
- German: Garbe
- Italian: covone, fascio, mazzo, balla, mannello
- Portuguese: gavela
- Russian: сноп
- Spanish: haz, atado, atada, mies
- French: faisceau, liasse
- German: Bündel
- Italian: fascio, mazzo, fascicolo, raccolta
- Portuguese: feixe, lio
- Russian: свя́зка
- Spanish: atado, atada
sheaf (sheafs, present participle sheafing; past and past participle sheafed)
- (transitive) To gather and bind into a sheaf; to make into sheaves
- to sheaf wheat
- (intransitive) To collect and bind cut grain, or the like; to make sheaves.
This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.043