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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
  • INTRODUCING MODULI SPACES: TWO EXAMPLES.
    Moduli spaces are spaces whose points correspond to isomor-phism classes of objects Their purpose is to ‘classify’ objects geometrically in some way They are inspired by a compelling collection of motivating principles, but their technical study tends to rely the heavy machinery of stacks
  • 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 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
  • 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 Spaces - Socratica
    Moduli spaces serve as pivotal structures crystallizing the classification problems of various geometric entities in algebraic geometry Their construction involves intricate tools from sheaf theory, deformation theory, and sometimes higher-categorical structures like stacks
  • Moduli Lecture 1 - Purdue University
    Their moduli are denoted Ag, Ag;N, Ag;N;d and Sh(G; X) The latter is called a PEL-Shimura variety (polarization, endomorphism, level structure) The Ag;N;d are critical in Falting's proof of Mordell's conjecture Shimura varieties are the centerpiece of the Langlands program
  • Introduction to moduli spaces
    In this course, I would like to present the basic ideas and formalism underlying the concept of moduli space, along with some main examples of interdisciplinary interest
  • What is a moduli space? | Department of Mathematics
    This leads to a notion of moduli space, i e a space parametrizing all of these objects We will do several examples and mention both the usefulness and difficulty of these problems!





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