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Sheaf (mathematics) - Wikipedia
In mathematics, a sheaf ( pl. : sheaves) is a tool for systematically tracking data (such as sets, abelian groups, rings) attached to the open sets of a ...
en.wikipedia.org
en.wikipedia.org
Sheaf (agriculture) - Wikipedia
A sheaf (/ʃiːf/; pl. : sheaves) is a bunch of cereal-crop stems bound together after reaping, traditionally by sickle, later by scythe or, after its ...
en.wikipedia.org
en.wikipedia.org
SHEAF Definition & Meaning - Merriam-Webster
1 ... a quantity of the stalks and ears of a cereal grass or sometimes other plant material bound together ... 2 ... something resembling a sheaf of ...
www.merriam-webster.com
www.merriam-webster.com
sheaf
▪ I. sheaf, n. (ʃiːf) Forms: α. 1 scéaf, 4–5 shef, schef, scheef, 4–6 shefe, sheef, 5 sheeffe, (chyfe), 5–6 schefe, scheff(e, sheff, 5–7 sheffe, 6 sheaffe, schiefe, Sc. scheiff, (teind-)cheif, 6–7 sheafe, 7 sheave, sheive, 8 Sc. sheaff, 6– sheaf. pl. 1 scéafas, (scéabas, scébas), 3 sheve, (Orm.) shæ...
Oxford English Dictionary
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sheaf in nLab
A presheaf on a site is a sheaf if its value on any object of the site is given by its compatible values on any covering of that object.
ncatlab.org
ncatlab.org
sheaf - Wiktionary, the free dictionary
Noun · A quantity of the stalks and ears of wheat, rye, or other grain, bound together; a bundle of grain or straw. · Any collection of things bound together.
en.wiktionary.org
en.wiktionary.org
Sheaf
Sheaf may refer to:
Sheaf (agriculture), a bundle of harvested cereal stems
Sheaf (mathematics), a mathematical tool
Sheaf toss, a Scottish sport River Sheaf, a tributary of River Don in England
The Sheaf, a student-run newspaper serving the University of Saskatchewan
Aluma, a settlement in Israel
wikipedia.org
en.wikipedia.org
ELI5: What is a sheaf? : r/math - Reddit
The simple explanation is a sheaf is a way of translating between locally-defined data and globally-defined data.
www.reddit.com
www.reddit.com
Clarification on definition of a Sheaf - Mathematics Stack Exchange
A (pre)sheaf on a category C is a functor from Cop→Set or sets with extra structure: Abelian groups, rings, modules, etc.
math.stackexchange.com
math.stackexchange.com
What is an intuitive Geometrical explanation of a "sheaf?"
A sheaf is a very broad concept, but is most often used when referencing a function that maps algebraic structures (like rings) to points on a manifolds.
math.stackexchange.com
math.stackexchange.com
Sheaf Theory through Examples | Books Gateway - MIT Press Direct
An approachable introduction to elementary sheaf theory and its applications beyond pure math. Sheaves are mathematical constructions concerned with passages ...
direct.mit.edu
direct.mit.edu
sheaf
sheaf/ʃi:f; ʃif/ n(pl sheaves / ʃi:vz; ʃivz/)1 bundle of stalks of corn, barley, etc tied together after reaping (谷物等收割後的)束, 捆.2 bundle of papers, etc laid lengthwise and often tied together (文件等的)束, 扎.
牛津英汉双解词典
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Sheaf (agriculture)
The traditional sheaf pitchfork has a long wooden handle, two short tynes and a rounded back to make the placing of sheaves easy. Heraldry
In heraldry a wheat sheaf is called a garb.
See also
Omer (unit), a Biblical measure of volume of grain.
wikipedia.org
en.wikipedia.org
Sheaf (mathematics)
For , this sheaf is called the structure sheaf and is denoted . The nonzero functions also form a sheaf, denoted . See also
Coherent sheaf
Gerbe
Stack (mathematics)
Sheaf of spectra
Perverse sheaf
Presheaf of spaces
Constructible sheaf
De Rham's theorem
Notes
wikipedia.org
en.wikipedia.org
Constant sheaf
This sheaf identifies with the sheaf of locally constant -valued functions on . is a sheaf called the constant sheaf on with value .
wikipedia.org
en.wikipedia.org