sheaf
/ʃiːf/
Frequency: Zipf frequency 2.60 in modern English
Meaning
noun
A quantity of the stalks and ears of wheat, rye, or other grain, bound together; a bundle of grain or straw.
noun
Any collection of things bound together.
noun
A quantity of arrows, usually twenty-four.
noun
A sheave.
noun
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:
noun
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:
Example Sentences
- "O, let me teach you how to knit again This scattered corn into one mutual sheaf, These broken limbs again into one body."
- "And then in haste her bow'r she leaves, With Thestylis to bind the sheaves; Or if the earlier season lead To the tann'd haycock in the mead."
- "Ev’n while the Reaper fills his greedy hands, / And binds the golden Sheafs in brittle bands"
- "'Tis not very long since there were Dwarfs at Jüne near Göttingen, who used to go into the fields and steal the sheaves of corn."
- "a sheaf of paper"
- "Bond reflected on the problem as he collected the sheaf of hundred thousand and then the sheaves of ten thousand franc notes."
Etymology
Origin
Word Breakdown
- Root: scheef, sċēaf, *skaub, *skauba-