In mathematics, a coefficient is a multiplicative factor in some term of an expression (or of a series); it is usually a number, but in any case does not involve any variables of the expression. For instance in

the first three terms respectively have the coefficients 7, −3, and 1.5 (in the third term the variables are hidden (raised to the 0 power), so the coefficient is the term itself; it is called the constant term or constant coefficient of this expression). The final term does not have any explicitly written coefficient, but is considered to have coefficient 1, since multiplying by that factor would not change the term. Often coefficients are numbers as in this example, although they could be parameters of the problem, as a, b, and c in

when it is understood that these are not considered as variables. Thus a polynomial in one variable x can be written as

for some integer, where are coefficients; to allow this kind of expression in all cases one must allow introducing terms with 0 as coefficient. For the largest with (if any), is called the leading coefficient of the polynomial. So for example the leading coefficient of the polynomial

is 4.

Specific coefficients arise in mathematical identities, such as the binomial theorem which involves binomial coefficients; these particular coefficients are tabulated in Pascal's triangle.

Read more about Coefficient:  Linear Algebra, Examples of Physical Coefficients, Chemistry

Other articles related to "coefficient, coefficients":

Sethi Model - Model - Explanation
... The coefficient is the coefficient of the effectiveness of advertising innovation ... The coefficient is the decay constant ...
Coefficient - Chemistry
... A coefficient is a number placed in front of a term in a chemical equation to indicate how many molecules (or atoms) take part in the reaction ... in the formula, the number 2's in front of and are stoichiometric coefficients ...
Chézy Formula - Usage With Manning Coefficient
... This formula can also be used with Manning's Roughness Coefficient, instead of Chézy's coefficient ... the following relation to C based upon experiments where is the Chézy coefficient , is the hydraulic radius (~ water depth), and is Manning's roughness ...
Attenuation Coefficient
... The attenuation coefficient is a quantity that characterizes how easily a material or medium can be penetrated by a beam of light, sound, particles, or other energy or matter ... A large attenuation coefficient means that the beam is quickly "attenuated" (weakened) as it passes through the medium, and a small attenuation coefficient means that the medium is relatively ... Attenuation coefficient is measured using units of reciprocal length ...
Mathematical Descriptions Of Opacity - Absorption Coefficient
... into the mathematical description of the wave is via an absorption coefficient where is the absorption coefficient ... The absorption coefficient, in turn, is simply related to several other quantities Attenuation coefficient is essentially (but not quite always) synonymous with absorption coefficient ... Molar absorption coefficient or Molar extinction coefficient, also called molar absorptivity, is the absorption coefficient divided by molarity (and usually ...