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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
    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 Definition Meaning - Merriam-Webster
    The meaning of MODULUS is the factor by which a logarithm of a number to one base is multiplied to obtain the logarithm of the number to a new base How to use modulus in a sentence
  • Math 259x: Moduli Spaces in Algebraic Geometry
    Often times in moduli theory, one needs to show that various constructions on families are functorial so that they induce a construction on the moduli space Functoriality usually means compatibility with base change
  • 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
  • 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
  • Moduli in Algebraic Geometry: An Introduction
    n Bertram 0 1 Introduction to Moduli Spaces Moduli in algebraic geometry refers to the continuous variation of geometric objects that are bundled in families, and a moduli space is a universal ba
  • moduli space in nLab - ncatlab. org
    More precisely, when a moduli space actually does exist as an ordinary space (or scheme), it is called for emphasis a fine moduli space Fine here refers to the completeness of the description, not shared by coarse moduli below





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