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modulusenUK
mod·u·lus M0365900 (mŏj′ə-ləs)n. pl. mod·u·li (-lī′) 1. Abbr. m or M Physics A quantity that expresses the degree to which a substance possesses a property, such as elasticity.2. Mathematics a. The square root of the product of a complex number and its complex conjugate.b. Abbr. mod A natural number used as a specified divisor in modular arithmetic.c. 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 (ˈmɒdjʊləs) n, pl -li (-ˌlaɪ) 1. (General Physics) physics a coefficient expressing a specified property of a specified substance. See bulk modulus, modulus of rigidity, Young's modulus2. (Mathematics) maths the absolute value of a complex number. See absolute value3. (Mathematics) maths the number by which a logarithm to one base is multiplied to give the corresponding logarithm to another base4. (Mathematics) maths an integer that can be divided exactly into the difference between two other integers: 7 is a modulus of 25 and 11. See also congruence2[C16: from Latin, diminutive of modus measure]mod•u•lus (ˈmɒdʒ ə ləs)
n., pl. -li (lī). 1. 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 can be divided to yield the same remainders. c. absolute value. [1555–65; < Latin: a unit of measure; see mode1, -ule] Thesaurus| Noun | 1. | modulus - an integer that can be divided without remainder into the difference between two other integers; "2 is a modulus of 5 and 9"integer, whole number - any of the natural numbers (positive or negative) or zero; "an integer is a number that is not a fraction" | | 2. | modulus - the absolute value of a complex numberabsolute value, numerical value - a real number regardless of its sign | | 3. | modulus - (physics) a coefficient that expresses how much of a specified property is possessed by a specified substancenatural philosophy, physics - the science of matter and energy and their interactions; "his favorite subject was physics"coefficient - a constant number that serves as a measure of some property or characteristiccoefficient of elasticity, elastic modulus, modulus of elasticity - (physics) the ratio of the applied stress to the change in shape of an elastic body |
TranslationsModulusenUK
modulus1. Physics a coefficient expressing a specified property of a specified substance 2. Maths another name for the absolute value (sense 2) of a complex number 3. Maths the number by which a logarithm to one base is multiplied to give the corresponding logarithm to another base 4. Maths an integer that can be divided exactly into the difference between two other integers Modulus a geometric parameter of gears. For cylindrical spur gears the modulus m is equal to the ratio of the diameter dp of the pitch circle to the number of teeth z or the ratio of the pitch t along the pitch circle to the number π: m = dp/z = t/π. For cylindrical helical gears a distinction is made among the transverse modulus ms = dp/z = ts/∊ the normal modulus ms = tn/∊ and the axial modulus ma= /ta/∊, where ts, tn, and ta are, respectively, the transverse, normal, and axial pitches along the pitch cylinder. The values of gear moduli are standardized, which is the basis for standardization of the other gear parameters (the geometric dimensions of gears are made proportional to the modulus) and gear-cutting tools.
Modulus (mathematics). (1) The modulus (or absolute value) of a complex number z = x + iy is the number r =  (the root is taken with the plus sign). If a complex number z is represented in trigonometric form, z = r(cos ϕ + i sin ϕ), then the modulus is the real number r. The modulus may be geometrically interpreted in the following way. A complex number z = x + iy can be represented by a vector issuing from the origin of a rectangular coordinate system and ending at the point with coordinates (x, y). The length of this vector is the modulus of the complex number z. (2) The modulus for converting from a logarithm system with base a to a logarithm system with base b is the number M = 1/logab. To obtain the logarithms of the numbers x to the base b, if the logarithms of these numbers are known to the base a, it is necessary to multiply the latter by the modulus: logb = M logax. modulus[′mäj·ə·ləs] (mathematics) The modulus of a logarithm with a given base is the factor by which a logarithm with a second base must be multiplied to give the first logarithm. absolute value modulusenUK
mo·du·lus (moj'yū-lŭs, mod'yū-), A coefficient expressing the magnitude of a physical property by a numeric value. [L. dim. of modus, a measure, quantity] mo·du·lus (mod'yū-lŭs) A coefficient expressing the magnitude of a physical property by a numerical value.
See: Type 2 diabetesmo·du·lus (mod'yū-lŭs) A coefficient expressing the magnitude of a physical property by a numerical value. FinancialSeeMMODULUS
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| MODULUS➣Methods Of Determining and Understanding Light Elements From Unequivocal Stable Isotope Compositions |
See MARS Operating DirectivemodulusenUK
Related to modulus: elastic modulusWords related to modulusnoun an integer that can be divided without remainder into the difference between two other integersRelated Wordsnoun the absolute value of a complex numberRelated Words- absolute value
- numerical value
noun (physics) a coefficient that expresses how much of a specified property is possessed by a specified substanceRelated Words- natural philosophy
- physics
- coefficient
- coefficient of elasticity
- elastic modulus
- modulus of elasticity
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