Sheaf

//ʃiːf// noun, verb

Definitions

Noun
  1. 1
    A quantity of the stalks and ears of wheat, rye, or other grain, bound together; a bundle of grain or straw.

    "O, let me teach you how to knit again / This scattered corn into one mutual sheaf, / These broken limbs again into one body."

  2. 2
    a package of several things tied together for carrying or storing wordnet
  3. 3
    Any collection of things bound together.

    "a sheaf of paper"

  4. 4
    A bundle of arrows sufficient to fill a quiver, or the allowance of each archer.

    "The sheaf of arrows shook, and rattled in the case."

  5. 5
    A quantity of arrows, usually twenty-four.

    "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."

Show 3 more definitions
  1. 6
    A sheave.
  2. 7
    An abstract construct in topology that associates data to the open sets of a topological space (i.e. a presheaf) in such a way so as to make the local and global data compatible, generalizing the situation of functions, fiber bundles, manifold structure, etc. on a topological space. Formally, a presheaf ℱ whose sections are, in a technical sense, uniquely determined by their restrictions onto smaller sets: that is, given an open cover U_i of U:; If two sections over U agree under restriction to every U_i, then the sections are the same.
  3. 8
    An abstract construct in topology that associates data to the open sets of a topological space (i.e. a presheaf) in such a way so as to make the local and global data compatible, generalizing the situation of functions, fiber bundles, manifold structure, etc. on a topological space. Formally, a presheaf ℱ whose sections are, in a technical sense, uniquely determined by their restrictions onto smaller sets: that is, given an open cover U_i of U:; Given a family of sections s_i∈ℱ(U_i) such that all pairs (s_i,s_j) agree under restriction to U_i∩U_j, there is a (unique) section s over U whose restriction to U_i is s_i.
Verb
  1. 1
    To gather and bind into a sheaf; to make into sheaves transitive

    "to sheaf wheat"

  2. 2
    To collect and bind cut grain, or the like; to make sheaves. intransitive

    "They that reap must sheaf and bind; Then to cart with Rosalind."

Etymology

Etymology 1

From Middle English scheef, from Old English sċēaf, from Proto-West Germanic *skaub, from Proto-Germanic *skauba- (“sheaf”). Cognates Akin to West Frisian skeaf (“sheaf”), Dutch schoof (“sheaf”), German Schaub, Old Norse skauf (“a fox's tail”). Compare further Gothic 𐍃𐌺𐌿𐍆𐍄 (skuft, “hair of the head”), German Schopf (“tuft”).

Etymology 2

From Middle English scheef, from Old English sċēaf, from Proto-West Germanic *skaub, from Proto-Germanic *skauba- (“sheaf”). Cognates Akin to West Frisian skeaf (“sheaf”), Dutch schoof (“sheaf”), German Schaub, Old Norse skauf (“a fox's tail”). Compare further Gothic 𐍃𐌺𐌿𐍆𐍄 (skuft, “hair of the head”), German Schopf (“tuft”).

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