http://www.mapleprimes.com/maplesoftblog/101548-Gems-From-The-Little-Red-Book-Of-Maple-Magic en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Tue, 09 Jun 2026 08:34:01 GMT Tue, 09 Jun 2026 08:34:01 GMT The latest comments added to the Blog Entry, Gems from the Little Red Book of Maple Magic http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/maplesoftblog/101548-Gems-From-The-Little-Red-Book-Of-Maple-Magic http://www.mapleprimes.com/maplesoftblog/101548-Gems-From-The-Little-Red-Book-Of-Maple-Magic?ref=Feed:MaplePrimes:Gems from the Little Red Book of Maple Magic:Comments#comment101550 <p>This is the sort of post that is helpful to lots of people. Good stuff.</p> <p>A few things about gem 1. The unwanted automatic conversion of <img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=f123e6a515ae18b4e8a9f056032dc31f.gif" alt="(r^2-(r-y)^2)^(1/2)">to <img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=5ebd3364e567aa624069aaf10d6a0001.gif" alt="sqrt(r^2-(r-y)^2)"> seems due to using `sqrt` instead of power 1/2, no?</p> <p>Compare,</p> <pre>plots:-display(plots:-textplot([1,3/2,typeset(sqrt(r^2-(r-y)^2))]),<br> plots:-textplot([1,1,typeset((r^2-(r-y)^2)^(1/2))]),<br> view=[0..2,0..2]);<br></pre> <p>The programmatic example of using <img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=45269cdd6c90c56ba9cbccf1bce3cc74.gif" alt="subs(F=f^(`-1`),F(x))"> in the legend might be more simply coded as,</p> <pre>plot(x, x=0..1, legend=subs(F=f^(Typesetting:-Typeset(-1)),F(x)));<br></pre> <p>You didn't mention it, but one of the relevant aspects is that subs(F=f^(`-1`),F(x)) produces an italicized -1, while the Typeset method shows as an upright character.</p> <p>Lastly, it looks like there's a problem with what gets displayed as regular output (not in a plot) for the input</p> <pre>`&amp;+-`(x, 1/2);<br></pre> <p>when the GUI's Typesetting level is "Maple Standard" and not "Extended" (see Tools-&gt;Options-Display).</p> The latest comments added to the Blog Entry, Gems from the Little Red Book of Maple Magic 101550 Wed, 09 Feb 2011 23:49:57 Z pagan pagan http://www.mapleprimes.com/maplesoftblog/101548-Gems-From-The-Little-Red-Book-Of-Maple-Magic?ref=Feed:MaplePrimes:Gems from the Little Red Book of Maple Magic:Comments#comment101576 <p>nice post, thanks, very useful to have all these tips in one place.</p> <p>On gem 1: that's why I use LaTeX/PSTricks to label my plots. Once you have a system going it's pretty efficient.</p> <p>On gem 2: that's not so much using Maple as Maple using you! It would be nice, though presumably a gigantic task, to have an option like, say, "diff(expr,x,suggest)" which would return several forms of the derivative taken from a stored table and from which you could select...</p> The latest comments added to the Blog Entry, Gems from the Little Red Book of Maple Magic 101576 Thu, 10 Feb 2011 16:08:07 Z PatrickT PatrickT http://www.mapleprimes.com/maplesoftblog/101548-Gems-From-The-Little-Red-Book-Of-Maple-Magic?ref=Feed:MaplePrimes:Gems from the Little Red Book of Maple Magic:Comments#comment101626 <p>For the inverse function, the standard way of representing it, using the repeated composition operator <strong>@@</strong> works fine in the Standard GUI:</p> <pre>plot(x, x=0..1, legend = typeset((f@@(-1))(x)), color=black); </pre> <p>I find remarkable the usage of the pen and paper technology for recording these "magic" tricks.</p> <p>About x+/-1/2, the trick should read <strong> caption=typeset(`#mrow(mi("x"),mo("&amp;pm;"),mfrac(mn("1"),mn("2")))`) </strong></p> The latest comments added to the Blog Entry, Gems from the Little Red Book of Maple Magic 101626 Sat, 12 Feb 2011 01:38:34 Z Alejandro Jakubi Alejandro Jakubi http://www.mapleprimes.com/maplesoftblog/101548-Gems-From-The-Little-Red-Book-Of-Maple-Magic?ref=Feed:MaplePrimes:Gems from the Little Red Book of Maple Magic:Comments#comment101627 <p><a href="http://www.mapleprimes.com/maplesoftblog/101548-Gems-From-The-Little-Red-Book-Of-Maple-Magic#comment101626">@Alejandro Jakubi</a> Your solution using f@@(-1) is handy, but it displays with brackets around the power of -1, like <img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=4e2209ce7b6aca9b7f406bcfcb1cbfd2.gif" alt="f@@(-1)"></p> <p>Robert L. showed that he wanted <img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=a5b82d2c94ee41921bdc4f28f1914373.gif" alt="f^`-1`">without brackets.</p> The latest comments added to the Blog Entry, Gems from the Little Red Book of Maple Magic 101627 Sat, 12 Feb 2011 02:11:17 Z pagan pagan http://www.mapleprimes.com/maplesoftblog/101548-Gems-From-The-Little-Red-Book-Of-Maple-Magic?ref=Feed:MaplePrimes:Gems from the Little Red Book of Maple Magic:Comments#comment101628 <p><a href="http://www.mapleprimes.com/maplesoftblog/101548-Gems-From-The-Little-Red-Book-Of-Maple-Magic#comment101626"></a>f^(-1) works not in a real sheet, only in 'standard' ...</p> The latest comments added to the Blog Entry, Gems from the Little Red Book of Maple Magic 101628 Sat, 12 Feb 2011 02:17:05 Z Axel Vogt Axel Vogt http://www.mapleprimes.com/maplesoftblog/101548-Gems-From-The-Little-Red-Book-Of-Maple-Magic?ref=Feed:MaplePrimes:Gems from the Little Red Book of Maple Magic:Comments#comment101630 <p><a href="http://www.mapleprimes.com/maplesoftblog/101548-Gems-From-The-Little-Red-Book-Of-Maple-Magic#comment101627">@pagan</a> I have not interpreted as the brackets being the issue, but if so, in typeMK I would use <strong>msup</strong>:</p> <pre>plot(x, x=0..1, legend = typeset(`#msup(mi("f"),mn("&amp;minus;1")`(x)), color=black); </pre> The latest comments added to the Blog Entry, Gems from the Little Red Book of Maple Magic 101630 Sat, 12 Feb 2011 04:26:01 Z Alejandro Jakubi Alejandro Jakubi