Webster's Online Dictionary
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Definition: MODULI

Part of Speech Definition
Noun 1. A coefficient or factor.[Eve - graph theoretic]

Sources: compiled from various sources, (under license) copyright 2008.

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"Moduli" is a common misspelling or typo for: modulo.

Date "Moduli" was first used in popular English literature: sometime before 1914. (references)

Common Expressions: MODULI

Expressions Definition
Deligne-Mumford moduli space of curves In mathematics, the Deligne-Mumford moduli space of curves is a refined construction of a moduli space of algebraic curves, that is work from 1969 by Pierre Deligne and David Mumford. It combined two novel techniques in algebraic geometry, Mumford's geometric invariant theory and Michael Artin's algebraic stacks, to construct a moduli object (not a scheme), including enough stable curves, and for which the irreducibility of the space of curves could be proved. This last was a classical theorem, but one whose status had been the subject of dispute. (references)
Formal moduli In mathematics, formal moduli are an aspect of the theory of moduli spaces (of algebraic varieties or vector bundles, for example), closely linked to deformation theory and formal geometry. Roughly speaking, deformation theory can provide the Taylor polynomial level of information about deformations, while formal moduli theory can assemble consistent Taylor polynomials to make a formal power series theory. The step to moduli spaces, properly speaking, is an algebraization question, and has been largely put on a firm basis by Artin's approximation theorem. (references)
Moduli scheme In mathematics, a moduli scheme is a moduli space that exists in the category of schemes developed by Alexander Grothendieck. Some important moduli problems of algebraic geometry can be satisfactorily solved by means of scheme theory alone, while others require some extension of the 'geometric object' concept (algebraic spaces, algebraic stacks of Michael Artin). (references)
Moduli space In algebraic geometry, the moduli problem is to describe the parameters on which algebraic varieties depend. The use of the term modulus here for such a parameter goes back to the same source as in modular form: a modular form in general is some kind of differential form (or tensor density, since the forms come with a 'weight') on a moduli space, that is, a space whose co-ordinates are the moduli. (references)

Source: compiled by the editor from various references; see credits.

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Topics by Level of Interest: MODULI

Topics sorted by level of Interest Level (1=low, 600=high)     Topics sorted Alphabetically Level (1=low, 600=high)
Moduli space 14     Deligne-Mumford moduli space of curves 6
Deligne-Mumford moduli space of curves 6     Formal moduli 3
Moduli scheme 3     Moduli (physics) 3
Moduli (physics) 3     Moduli scheme 3
Formal moduli 3     Moduli space 14

Source: the editor, created by/for EVE to gauge likely levels of human interest in linguistically triggered topics (compiled across various sources, such as Wikipedia and specialty expression glosses).

Translations: MODULI

Language Translations (or nearest inflections or synonyms, in parentheses)
Bohemian moduly (moduli, modules), modul (module, modulus, building block, building brick, modules). Additional references: Bohemian, Czech Republic, moduli. (volunteer & more translations)
Brazilian Portuguese moduli (moduli). Additional references: Brazilian Portuguese, Portugal, Angola, moduli. (volunteer & more translations)
Cestina moduly (moduli, modules), modul (module, modulus, building block, building brick, modules). Additional references: Cestina, Czech Republic, moduli. (volunteer & more translations)
Croatian modules (moduli). Additional references: Croatian, Croatia, moduli. (volunteer & more translations)
Czech moduly (moduli, modules), modul (module, modulus, building block, building brick, modules). Additional references: Czech, Czech Republic, moduli. (volunteer & more translations)
Français modules (modulate, moduli, modules, cabinets, packages), coefficients (moduli). Additional references: Français, France, Algeria, moduli. (volunteer & more translations)
French modules (modulate, moduli, modules, cabinets, packages), coefficients (moduli). Additional references: French, France, Algeria, moduli. (volunteer & more translations)
Hanguk Mal 율 (rate, coefficient, constant, factor, moduli), 법 (law, dharma, jus, mood, lex), 계수 (coefficient, modulus, cinnamon, rank, sisterinlaw). Additional references: Hanguk Mal, Korea, South, Korea, moduli. (volunteer & more translations)
Hanguohua 율 (rate, coefficient, constant, factor, moduli), 법 (law, dharma, jus, mood, lex), 계수 (coefficient, modulus, cinnamon, rank, sisterinlaw). Additional references: Hanguohua, Korea, South, Korea, moduli. (volunteer & more translations)
Hungarian modulusz (module, moduli, modulus), arányszám (moduli, modulus, rate, ratio), együttható (coefficient, factor, moduli, modulus). Additional references: Hungarian, Hungary, Austria, moduli. (volunteer & more translations)
Japanese 率 (rate, percentage, proportion, ratio, modulus). Additional references: Japanese, Japan, Taiwan, moduli. (volunteer & more translations)
Korean 율 (rate, coefficient, constant, factor, moduli), 법 (law, dharma, jus, mood, lex), 계수 (coefficient, modulus, cinnamon, rank, sisterinlaw). Additional references: Korean, Korea, South, Korea, moduli. (volunteer & more translations)
Magyar modulusz (module, moduli, modulus), arányszám (moduli, modulus, rate, ratio), együttható (coefficient, factor, moduli, modulus). Additional references: Magyar, Hungary, Austria, moduli. (volunteer & more translations)
Polish moduły (moduli). Additional references: Polish, Poland, Czech Republic, moduli. (volunteer & more translations)
Polnisch moduły (moduli). Additional references: Polnisch, Poland, Czech Republic, moduli. (volunteer & more translations)
Polski moduły (moduli). Additional references: Polski, Poland, Czech Republic, moduli. (volunteer & more translations)
Portuguese moduli (moduli). Additional references: Portuguese, Portugal, Angola, moduli. (volunteer & more translations)
Source: Eve, based on a combination of meta analysis and graph theory (for near and back translations). Top

Constructed Language Translations: MODULI

Language Translations for “moduli” or closest synonym(s); back translations in parentheses.
Pig Latin odulimay (moduli). Additional references: Pig Latin, moduli. (volunteer)
Terran B modulis (moduli). Additional references: Terran B, moduli. (volunteer)
Source: compiled by the editor. Top