modulus

mod·u·lus   (mŏj'ə-ləs)    n.   pl. mod·u·li (-lī') Abbr. m or M Physics A quantity that expresses the degree to which a substance possesses a property, such as elasticity. Mathematics The absolute value of a complex number. Abbr. mod A number by which two given numbers can be divided and produce the same remainder. The number by which a logarithm in one system must be multiplied to obtain the corresponding logarithm in another system. [Latin, diminutive of modus, measure; see med- in Indo-European roots.]

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.

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.

Main Entry: mod·u·lus
Pronunciation: 'mäj-&-l&s
Function: noun
Inflected Form: plural mod·u·li /-"lI,-"lE/
: a constant or coefficient that expresses usually numerically the degree to which a substance or body possesses a property (as elasticity)

modulus   (mŏj'ə-ləs)  Pronunciation Key  Plural moduli (mŏj'ə-lī') A number by which two given numbers can be divided and produce the same remainder. The numerical length of the vector that represents a complex number. For a complex number a + bi, the modulus is the square root of (a2 + b2). The number by which a logarithm to one base must be multiplied to obtain the corresponding logarithm to another base.