Modulus of a system of logarithms

Modulus of a system of logarithms
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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  • 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,… …   The Collaborative International Dictionary of English

  • Modulus of a machine — 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,… …   The Collaborative International Dictionary of English

  • Modulus of elasticity — 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,… …   The Collaborative International Dictionary of English

  • Modulus of rupture — 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,… …   The Collaborative International Dictionary of English

  • Young's modulus — 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,… …   The Collaborative International Dictionary of English

  • modulus — mod·u·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

  • modulus — /moj euh leuhs/, n., pl. moduli /luy/. 1. Physics. a coefficient pertaining to a physical property. 2. Math. a. that number by which the logarithms in one system are multiplied to yield the logarithms in another. b. a quantity by which two given… …   Universalium

  • modulus — mod•u•lus [[t]ˈmɒdʒ ə ləs[/t]] n. pl. li (lī). 1) phs a coefficient pertaining to a physical property 2) a) number by which the logarithms in one system are multiplied to yield the logarithms in another b) a quantity by which two given quantities …   From formal English to slang

  • Binary logarithms — Binary Bi na*ry, a. [L. binarius, fr. bini two by two, two at a time, fr. root of bis twice; akin to E. two: cf. F. binaire.] Compounded or consisting of two things or parts; characterized by two (things). [1913 Webster] {Binary arithmetic}, that …   The Collaborative International Dictionary of English

  • Maximum modulus principle — A plot of the modulus of cos(z) (in red) for z in the unit disk centered at the origin (shown in blue). As predicted by the theorem, the maximum of the modulus cannot be inside of the disk (so the highest value on the red surface is somewhere… …   Wikipedia

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