Difference between revisions of "Coefficients Command"

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:{{example| 1=<div><code><nowiki>Coefficients[x^3 - 3 x^2 + 3 x]</nowiki></code> yields ''{1, -3, 3, 0}'', the list of all coefficients of <math>x^3 - 3 x^2 + 3 x</math>.</div>}}
 
:{{example| 1=<div><code><nowiki>Coefficients[x^3 - 3 x^2 + 3 x]</nowiki></code> yields ''{1, -3, 3, 0}'', the list of all coefficients of <math>x^3 - 3 x^2 + 3 x</math>.</div>}}
 
;Coefficients[ <Conic> ]
 
;Coefficients[ <Conic> ]
:For conic <math>a\cdot x^2 + b\cdot y^2 + c + d\cdot x\cdot y + e\cdot x + f\cdot y = 0</math> returns list <math>\{a, b, c, d, e, f\}</math>.
+
:For conics in standard form <math>a\cdot x^2 + b\cdot y^2 + c + d\cdot x\cdot y + e\cdot x + f\cdot y = 0</math> returns list <math>\{a, b, c, d, e, f\}</math>.
 +
:{{note|1=For a line in implicit form <math>l: ax + by + c = 0</math> it is possible to obtain the coefficients using the syntax ''x''(''l''), ''y''(''l''), ''z''(''l'').}}
 +
:{{example|1= Given <code>l: 3x + 2y - 2 = 0</code> : <code>x(l)</code> returns 3, <code>y(l)</code> returns 2 and <code>z(l)</code> returns -2.}}
 
==CAS Syntax==
 
==CAS Syntax==
 
;Coefficients[ <Polynomial> ]
 
;Coefficients[ <Polynomial> ]

Revision as of 11:49, 24 September 2012



Coefficients[ <Polynomial> ]
Yields the list of all coefficients of the polynomial.
Example:
Coefficients[x^3 - 3 x^2 + 3 x] yields {1, -3, 3, 0}, the list of all coefficients of x^3 - 3 x^2 + 3 x.
Coefficients[ <Conic> ]
For conics in standard form a\cdot x^2 + b\cdot y^2 + c + d\cdot x\cdot y + e\cdot x + f\cdot y = 0 returns list \{a, b, c, d, e, f\}.
Note: For a line in implicit form l: ax + by + c = 0 it is possible to obtain the coefficients using the syntax x(l), y(l), z(l).
Example: Given l: 3x + 2y - 2 = 0 : x(l) returns 3, y(l) returns 2 and z(l) returns -2.

CAS Syntax

Coefficients[ <Polynomial> ]
Yields the list of all coefficients of the polynomial in the main variable.
Example:
Coefficients[x^3 - 3 x^2 + 3 x] yields {1, -3, 3, 0}, the list of all coefficients of x^3 - 3 x^2 + 3 x.
Coefficients[ <Polynomial>, <Variable> ]
Yields the list of all coefficients of the polynomial in the given variable.
Example:
  • Coefficients[a^3 - 3 a^2 + 3 a, a] yields {1, -3, 3, 0}, the list of all coefficients of a^3 - 3 a^2 + 3 a, and
  • Coefficients[a^3 - 3 a^2 + 3 a, x] yields \{a^3 - 3 a^2 + 3 a\}.
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