Difference between revisions of "RandomPolynomial Command"

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{{command|CAS}}
 
{{command|CAS}}
 
;RandomPolynomial[ <Degree d> , <Minimum for Coefficients min>, <Maximum for Coefficients max> ]
 
;RandomPolynomial[ <Degree d> , <Minimum for Coefficients min>, <Maximum for Coefficients max> ]
:Returns a randomly generated polynomial in ''x'' of degree at most ''d'', whose (integer) coefficients are in the range from ''min'' to ''max'', both included.  
+
:Returns a randomly generated polynomial in ''x'' of degree ''d'', whose (integer) coefficients are in the range from ''min'' to ''max'', both included.  
 
{{example| 1=<div>
 
{{example| 1=<div>
 
* <code><nowiki>RandomPolynomial[0, 1, 2]</nowiki></code> yields either ''1'' or ''2'' and
 
* <code><nowiki>RandomPolynomial[0, 1, 2]</nowiki></code> yields either ''1'' or ''2'' and
 
* <code><nowiki>RandomPolynomial[2, 1, 2]</nowiki></code> yields a random polynomial with a degree of two and only ''1'' and ''2'' as coefficients, for example ''2x<sup>2</sup> + x + <sup>1</sup>''.
 
* <code><nowiki>RandomPolynomial[2, 1, 2]</nowiki></code> yields a random polynomial with a degree of two and only ''1'' and ''2'' as coefficients, for example ''2x<sup>2</sup> + x + <sup>1</sup>''.
 
</div>}}
 
</div>}}
{{note| 1=The coefficient of x to the power of ''d'' is guaranteed not to be zero.}}
 
 
;RandomPolynomial[ <Variable Var>, <Degree d> , <Minimum for Coefficients min>, <Maximum for Coefficients max> ]
 
;RandomPolynomial[ <Variable Var>, <Degree d> , <Minimum for Coefficients min>, <Maximum for Coefficients max> ]
:Returns a randomly generated polynomial in ''Var'' of degree at most ''d'', whose (integer) coefficients are in the range from ''min'' to ''max'', both included.
+
:Returns a randomly generated polynomial in ''Var'' of degree ''d'', whose (integer) coefficients are in the range from ''min'' to ''max'', both included.
 
:{{note|In both cases if ''min'' or ''max'' are not integers, ''round(min)'' and ''round(max)'' are used instead.}}
 
:{{note|In both cases if ''min'' or ''max'' are not integers, ''round(min)'' and ''round(max)'' are used instead.}}
:{{note| 1=The coefficient of ''Var'' to the power of ''d'' is guaranteed not to be zero.}}
 

Revision as of 07:40, 22 August 2011


This command works in CAS View only.

RandomPolynomial[ <Degree d> , <Minimum for Coefficients min>, <Maximum for Coefficients max> ]
Returns a randomly generated polynomial in x of degree d, whose (integer) coefficients are in the range from min to max, both included.
Example:
  • RandomPolynomial[0, 1, 2] yields either 1 or 2 and
  • RandomPolynomial[2, 1, 2] yields a random polynomial with a degree of two and only 1 and 2 as coefficients, for example 2x2 + x + 1.
RandomPolynomial[ <Variable Var>, <Degree d> , <Minimum for Coefficients min>, <Maximum for Coefficients max> ]
Returns a randomly generated polynomial in Var of degree d, whose (integer) coefficients are in the range from min to max, both included.
Note: In both cases if min or max are not integers, round(min) and round(max) are used instead.
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