Difference between revisions of "RandomPolynomial Command"

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:Returns a randomly generated polynomial in ''x'' of degree ''d'', whose (integer) coefficients are in the range from ''minimum'' to ''maximum'', both included.  
 
:Returns a randomly generated polynomial in ''x'' of degree ''d'', whose (integer) coefficients are in the range from ''minimum'' to ''maximum'', both included.  
 
:{{Examples|1=<div>
 
:{{Examples|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''.
 
:*<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 + 1''.</div>}}
 
:*<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 + 1''.</div>}}
 +
 
==CAS Syntax==
 
==CAS Syntax==
;RandomPolynomial[ <Degree> , <Minimum for Coefficients>, <Maximum for Coefficients> ]
+
The following command is only available in the [[File:Menu view cas.svg|link=|16px]] [[CAS View]].
:Returns a randomly generated polynomial in ''x'' of degree ''d'', whose (integer) coefficients are in the range from ''minimum'' to ''maximum'', both included.  
 
:{{Examples|1=<div>
 
:*<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 + 1''.</div>}}
 
  
 
;RandomPolynomial[ <Variable>, <Degree> , <Minimum for Coefficients>, <Maximum for Coefficients> ]
 
;RandomPolynomial[ <Variable>, <Degree> , <Minimum for Coefficients>, <Maximum for Coefficients> ]
 
:Returns a randomly generated polynomial in ''Variable'' of degree ''d'', whose (integer) coefficients are in the range from ''minimum'' to ''maximum'', both included.
 
:Returns a randomly generated polynomial in ''Variable'' of degree ''d'', whose (integer) coefficients are in the range from ''minimum'' to ''maximum'', both included.
 
:{{Examples|1=<div>
 
:{{Examples|1=<div>
:*<code><nowiki>RandomPolynomial[a, 0, 1, 2]</nowiki></code> yields either ''1'' or ''2'' and
+
:*<code><nowiki>RandomPolynomial[a, 0, 1, 2]</nowiki></code> yields either ''1'' or ''2''.
 
:*<code><nowiki>RandomPolynomial[a, 2, 1, 2]</nowiki></code> yields a random polynomial with a degree of two and only ''1'' and ''2'' as coefficients, for example ''2a<sup>2</sup> + a + 1''.</div>}}
 
:*<code><nowiki>RandomPolynomial[a, 2, 1, 2]</nowiki></code> yields a random polynomial with a degree of two and only ''1'' and ''2'' as coefficients, for example ''2a<sup>2</sup> + a + 1''.</div>}}
 
{{Note|1=In both cases if ''minimum'' or ''maximum'' are not integers, ''round(minimum)'' and ''round(maximum)'' are used instead.}}
 
{{Note|1=In both cases if ''minimum'' or ''maximum'' are not integers, ''round(minimum)'' and ''round(maximum)'' are used instead.}}

Revision as of 10:56, 9 October 2015


RandomPolynomial[ <Degree> , <Minimum for Coefficients>, <Maximum for Coefficients> ]
Returns a randomly generated polynomial in x of degree d, whose (integer) coefficients are in the range from minimum to maximum, both included.
Examples:
  • RandomPolynomial[0, 1, 2] yields either 1 or 2.
  • 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.


CAS Syntax

The following command is only available in the Menu view cas.svg CAS View.

RandomPolynomial[ <Variable>, <Degree> , <Minimum for Coefficients>, <Maximum for Coefficients> ]
Returns a randomly generated polynomial in Variable of degree d, whose (integer) coefficients are in the range from minimum to maximum, both included.
Examples:
  • RandomPolynomial[a, 0, 1, 2] yields either 1 or 2.
  • RandomPolynomial[a, 2, 1, 2] yields a random polynomial with a degree of two and only 1 and 2 as coefficients, for example 2a2 + a + 1.
Note: In both cases if minimum or maximum are not integers, round(minimum) and round(maximum) are used instead.
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