Re: notation help: f(x) = (sin x)^(1/3)

*To*: mathgroup at smc.vnet.net*Subject*: [mg29988] Re: [mg29947] notation help: f(x) = (sin x)^(1/3)*From*: Tomas Garza <tgarza01 at prodigy.net.mx>*Date*: Fri, 20 Jul 2001 03:28:52 -0400 (EDT)*References*: <200107190757.DAA02259@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

First, you must use parenthesis, instead of brackets, to enclose Sin[x]. Second, you must take into account that there are three cube roots of Sin[x], and one of them is real, which is the one you want to plot. Ordinarily, Mathematica chooses the root with the least positive argument, and sometimes this turns out to be complex, which then of course won't appear in the plot. Fortunately, there is a nice Add-On package called RealOnly which will solve your problem automatically. Read the discussion in the on-line Help. This is what you must do: In[1]:= Needs["Miscellaneous`RealOnly`"] In[2]:= Plot[(Sin[x])^(1/3), {x, -10, 10}]; This is the sort of thing that makes beginners (and others, too) irate. However, Mathematica is a logical and well-designed engine, and that is where its enormous power lies. There are three cube roots to any real number; which one to choose? And of course, complex roots have the same rights as real roots, so that, given a rule to choose a root, what if it turns out to be complex? If one wants to plot, then it is nice to have a mechanism which will only return roots. But one has to know about it, alas. Tomas Garza Mexico City ----- Original Message ----- From: "Tim 9-23" <bendoftimeb at stny.rr.com> To: mathgroup at smc.vnet.net Subject: [mg29988] [mg29947] notation help: f(x) = (sin x)^(1/3) > How do I plot this. I must not be entering it correctly. It's the > plot of the cube root of the Sine function. > > Plot[[Sin[x]]^(1/3), {x, -10, 10}] isn't working. Thanks. > > My email address is anti-spammed. Remove the 2 B's after hitting email reply > if you want to email me. > > Tim 9-23 >

**References**:**notation help: f(x) = (sin x)^(1/3)***From:*Tim 9-23 <bendoftimeb@stny.rr.com>