sheaf

Pronunciation Noun

This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.011

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.

- O, let me teach you how to knit again / This scattered corn into one mutual
*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

- E’en while the reaper fills his greedy hands, / And binds the golden

- 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.

- 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

- (
*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
*C*-structure. Here^{k}*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**C**^{k}, is a sort of functor that defines, for each open set*U*⊂*M*, an algebra**C**^{k}(*U*) of continuous functions*U*→**R**.

- Sometimes, it can be useful to use an alternative approach to endow a manifold with a

- (
*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 0.011