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moduli    
modulus的复数形

modulus的复数形

Modulus \Mod"u*lus\, n.; pl. {Moduli}. [L., a small measure. See
{Module}, n.] (Math., Mech., & Physics)
A quantity or coefficient, or constant, which expresses the
measure of some specified force, property, or quality, as of
elasticity, strength, efficiency, etc.; a parameter.
[1913 Webster]

{Modulus of a machine}, a formula expressing the work which a
given machine can perform under the conditions involved in
its construction; the relation between the work done upon
a machine by the moving power, and that yielded at the
working points, either constantly, if its motion be
uniform, or in the interval of time which it occupies in
passing from any given velocity to the same velocity
again, if its motion be variable; -- called also the
efficiency of the machine. --Mosley. --Rankine.

{Modulus of a system of logarithms} (Math.), a number by
which all the Napierian logarithms must be multiplied to
obtain the logarithms in another system.

{Modulus of elasticity}.
(a) The measure of the elastic force of any substance,
expressed by the ratio of a stress on a given unit of the
substance to the accompanying distortion, or strain.
(b) An expression of the force (usually in terms of the
height in feet or weight in pounds of a column of the
same body) which would be necessary to elongate a
prismatic body of a transverse section equal to a given
unit, as a square inch or foot, to double, or to compress
it to half, its original length, were that degree of
elongation or compression possible, or within the limits
of elasticity; -- called also {Young's modulus}.

{Modulus of rupture}, the measure of the force necessary to
break a given substance across, as a beam, expressed by
eighteen times the load which is required to break a bar
of one inch square, supported flatwise at two points one
foot apart, and loaded in the middle between the points of
support. --Rankine.
[1913 Webster]


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  • Moduli space - Wikipedia
    Moduli space In mathematics, in particular algebraic geometry, a moduli space is a geometric space (usually a scheme or an algebraic stack) whose points represent algebro-geometric objects of some fixed kind, or isomorphism classes of such objects
  • Moduli Google: accedi
    Accedi a Moduli Google con un Account Google personale o un account Google Workspace (per uso professionale)
  • 什么是模(modulus,moduli)? - 知乎
    第一次看到 模空间 (moduli space)的时候,我非常不明白模是什么意思,在一个群里问有人回答说,就是参数的意思。 但是我仍然不明白数论里的模运算(modulo), 模形式 (modular form),代数里的模(module)中的模是什么意思,模形式和 共形场论 很有关系。
  • Moduli | Cambridge Core
    Moduli provides a new forum for significant new results on all aspects of moduli theory or related mathematics It is an open access journal owned by the Foundation Compositio Mathematica, and published in collaboration with the London Mathematical Society and Cambridge University Press
  • INTRODUCING MODULI SPACES: TWO EXAMPLES.
    The goal of this paper is to motivate the construction of moduli spaces through a few key examples — the moduli space of complex elliptic curves and the moduli space of triangles
  • 几何与模空间 - Geometry-Moduli
    The collection of all such sections forms a bundle of the moduli space of closed Riemann surfaces, sometimes referred to as the Hodge bundle The existence of an action of SL (2,R) on this bundle is one of the main sources of interplay between geometry and dynamics on moduli spaces
  • Moduli theory - Cornell University
    In practice, people will often specify a moduli problem with an expression such as Equation (1 1), but they implicitly mean a category bered in groupoids over Ring
  • Math 582C: Introduction to stacks and moduli
    The notes include a long introduction containing motivation for the theory of moduli stacks and how it can be used to construct projective moduli spaces The course however will only quickly cover this motivation
  • Moduli Spaces - University of Texas at Austin
    Representation varieties, or moduli spaces of rep-resentations, are an important and concrete class of moduli spaces that arise throughout geometry, topol-ogy, and number theory
  • Moduli Spaces: A Framework for Classifying Mathematical Objects
    Discover the world of moduli spaces in mathematics, key to understanding algebraic geometry, number theory, and physics





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