Difference between revisions of "RandomPolynomial Command"
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− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> |
{{command|probability}} | {{command|probability}} | ||
− | ;RandomPolynomial | + | ;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 '' | + | :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 | + | :*<code><nowiki>RandomPolynomial(0, 1, 2)</nowiki></code> yields either ''1'' or ''2''. |
− | :*<code><nowiki>RandomPolynomial | + | :*<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 | + | The following command is only available in the [[File:Menu view cas.svg|link=|16px]] [[CAS View]]. |
− | :Returns a randomly generated polynomial in '' | + | |
+ | ;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|1=<div> | :{{Examples|1=<div> | ||
− | :*<code><nowiki>RandomPolynomial | + | :*<code><nowiki>RandomPolynomial(a, 0, 1, 2)</nowiki></code> yields either ''1'' or ''2''. |
− | :*<code><nowiki>RandomPolynomial | + | :*<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 '' | + | {{Note|1=In both cases if ''minimum'' or ''maximum'' are not integers, ''round(minimum)'' and ''round(maximum)'' are used instead.}} |
Latest revision as of 11:23, 11 October 2017
- 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 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.