Coefficient definition

kōə-fĭshənt
coefficients
See word origin
Frequency:
A number or symbol multiplied with a variable or an unknown quantity in an algebraic term. For example, 4 is the coefficient in the term 4 x , and x is the coefficient in x ( a + b ).
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A factor that contributes to produce a result.
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(math.) A number or algebraic symbol prefixed as a multiplier to a variable or unknown quantity (Ex.: x in x(y+z), 6 in 6ab)
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A numerical measure of a physical or chemical property that is constant for a system under specified conditions. The speed of light in a vacuum, for example, is a constant.
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(physics) A number, constant for a given substance, used as a multiplier in measuring the change in some property of the substance under given conditions.

The coefficient of expansion.

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A number or symbol multiplied with a variable or an unknown quantity in an algebraic term, as 4 in the term 4 x, or x in the term x ( a + b ).
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A numerical measure of a physical or chemical property that is constant for a system under specified conditions, such as the coefficient of friction.
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The definition of a coefficient is a number or symbol that helps to provide a mathematical result.

An example of coefficient is 6 in the following algebra equation, 6x - 2.

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adjective
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(mathematics) A constant by which an algebraic term is multiplied.
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A number, value or item that serves as a measure of some property or characteristic.
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Other Word Forms

Noun

Singular:
coefficient
Plural:
coefficients

Origin of coefficient

  • From French coefficient, coined by French mathematician François Viète.

    From Wiktionary

Coefficient Sentence Examples

  • We may, by a well-known theorem, write the result as a coefficient of z w in the expansion of 1 - z n+1.

  • This coefficient is sometimes called the " angular coefficient," and may be regarded as a measure of the deviations from Boyle's law, 'which may be most simply expressed at moderate pressures by formulating the variation of the angular coefficient with temperature.

  • The value of the angular coefficient d(pv)/dp is evidently (b - c), which expresses the defect of the actual volume v from the ideal volume Re/p. Differentiating equation (17) at constant pressure to find dv/do, and observing that dcldO= - nc/O, we find by substitution in (is) the following simple expression for the cooling effect do/dp in terms of c and b, Sdo/dp= (n+I)c - b..

  • Less accurate formulae are =p W/(W - W 2), the factor involving the density of the air, and the coefficient of the expansion of the solid being disregarded, and 0 =W/(W - W 1), in which the density of water is taken as unity.

  • Its advantages rest on its high density and mobility; its main disadvantages are its liability to decomposition, the originally colourless liquid becoming dark owing to the separation of iodine, and its high coefficient of expansion.

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