Moduli
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]

The Collaborative International Dictionary of English. 2000.

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• Moduli — may refer to:* Moduli (physics), scalar fields for which the potential energy function has continuous families of global minima * Moduli space, in mathematics a geometric space whose points represent algebro geometric objectsee also* Module *… …   Wikipedia

• moduli — modÂ·uÂ·lus || mÉ‘dÊ’É™lÉ™s / mÉ’djul n. (Mathematics) number by which one can multiply logarithms of one system to obtain the logarithms of another system; number by which two quantities can be divided to yield the same remainder …   English contemporary dictionary

• Moduli space — In 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. Such spaces frequently arise as… …   Wikipedia

• Moduli of algebraic curves — In algebraic geometry, a moduli space of (algebraic) curves is a geometric space (typically a scheme or an algebraic stack) whose points represent isomorphism classes of algebraic curves. It is thus a special case of a moduli space. Depending on… …   Wikipedia

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