Definition of coefficient in English:
 coefficient
noun ˌkəʊɪˈfɪʃ(ə)ntˌkoʊəˈfɪʃənt
1Mathematics 
A numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy).
 Example sentencesExamples
-  Hermite had posed the problem of finding the minimal values of quadratic forms in n variables whose coefficients were real.
 -  Montel also investigated the relation between the coefficients of a polynomial and the location of its zeros in the complex plane.
 -  The problem was to find the roots by adding, subtracting, multiplying, dividing and taking roots of expressions in the coefficients.
 -  The coefficients on the age variable in the models of organization-environment fit may then approach zero.
 -  He extended the applications of the operational method to linear ordinary differential equations with variable coefficients.
 
2Physics 
A multiplier or factor that measures a particular property.
 Example sentencesExamples
-  The shading coefficient is the measure of solar heat gain through the window.
 -  Where can I get a list of friction coefficients for different materials?
 -  The drag coefficient combines several ballistic properties of typical projectiles.
 -  This measure of a material's elasticity is called its coefficient of restitution.
 -  It follows that hydrophobic organic compounds have high adsorption coefficients and high bioaccumulation factors.
 
Origin
  
Mid 17th century (in the sense 'cooperating to produce a result'): from modern Latin coefficient-, from com- 'together' + efficient- 'accomplishing' (see efficient).
Rhymes
  
efficient, proficient, sufficient
   Definition of coefficient in US English:
 coefficient
nounˌkoʊəˈfɪʃəntˌkōəˈfiSHənt
1Mathematics 
A numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy).
 Example sentencesExamples
-  Hermite had posed the problem of finding the minimal values of quadratic forms in n variables whose coefficients were real.
 -  Montel also investigated the relation between the coefficients of a polynomial and the location of its zeros in the complex plane.
 -  The problem was to find the roots by adding, subtracting, multiplying, dividing and taking roots of expressions in the coefficients.
 -  He extended the applications of the operational method to linear ordinary differential equations with variable coefficients.
 -  The coefficients on the age variable in the models of organization-environment fit may then approach zero.
 
2Physics 
A multiplier or factor that measures some property.
 coefficients of elasticity
 Example sentencesExamples
-  This measure of a material's elasticity is called its coefficient of restitution.
 -  Where can I get a list of friction coefficients for different materials?
 -  The drag coefficient combines several ballistic properties of typical projectiles.
 -  The shading coefficient is the measure of solar heat gain through the window.
 -  It follows that hydrophobic organic compounds have high adsorption coefficients and high bioaccumulation factors.
 
Origin
  
Mid 17th century (in the sense ‘cooperating to produce a result’): from modern Latin coefficient-, from com- ‘together’ + efficient- ‘accomplishing’ (see efficient).