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Coefficient
Coefficient[
expr
,
form
] gives the coefficient of form in the polynomial expr.
Coefficient[
expr
,
form
,
n
] gives the coefficient of form
^
n in expr.
Coefficient picks only terms that contain the particular form specified.  is not considered part of  .
form can be a product of powers.
Coefficient[
expr
,
form
,
0] picks out terms that are not proportional to form.
Coefficient works whether or not expr is explicitly given in expanded form.
See the Mathematica book: Section 1.4.6, Section 3.3.2.
See also: Exponent, SeriesCoefficient.
Further Examples
Here is one way of getting the coefficient of  from the polynomial.
In[1]:= 
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Here is an equivalent way.
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This gives the coefficient of x in the polynomial over the integers modulo  .
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This gives the coefficients of x, x
z, y and z in the expression.
In[4]:= 
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You can use variables that are powers.
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Such a power does not necessarily have to be an integer.
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Coefficient is quite fast for polynomial input. (The time will vary for different machines.)
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Even this harder example comes back in reasonable time.
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Coefficient can handle some algebraic dependencies.
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THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT. SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION. | | | |
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