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    <title>MaplePrimes - answers and comments on Question, simplify, but not</title>
    <link>http://www.mapleprimes.com/questions/144313-Simplify-But-Not</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
    <generator>Maplesoft Document System</generator>
    <lastBuildDate>Tue, 09 Jun 2026 17:23:48 GMT</lastBuildDate>
    <pubDate>Tue, 09 Jun 2026 17:23:48 GMT</pubDate>
    <itunes:subtitle />
    <itunes:summary />
    <description>The latest answers and comments added to the Question, simplify, but not</description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - answers and comments on Question, simplify, but not</title>
      <link>http://www.mapleprimes.com/questions/144313-Simplify-But-Not</link>
    </image>
    <item>
      <title>No "freeze" for integers and rationals.</title>
      <link>http://www.mapleprimes.com/questions/144313-Simplify-But-Not?ref=Feed:MaplePrimes:simplify, but not:Comments#answer144318</link>
      <itunes:summary>&lt;p&gt;Unfortunately, &lt;strong&gt;freeze&lt;/strong&gt; doesn't work for integers and rationals. But &lt;strong&gt;subs&lt;/strong&gt; does work. So the following kludge does it:&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;ex:= 16^j/16;&lt;/strong&gt;&lt;br&gt;&lt;strong&gt;exf:= subs(_x= 16, simplify(subs([1/16= 1/_x, 16= _x], ex)));&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;&lt;/strong&gt;It sure looks ugly though.&lt;strong&gt;&lt;br&gt;&lt;/strong&gt;&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;Unfortunately, &lt;strong&gt;freeze&lt;/strong&gt; doesn't work for integers and rationals. But &lt;strong&gt;subs&lt;/strong&gt; does work. So the following kludge does it:&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;ex:= 16^j/16;&lt;/strong&gt;&lt;br&gt;&lt;strong&gt;exf:= subs(_x= 16, simplify(subs([1/16= 1/_x, 16= _x], ex)));&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;&lt;/strong&gt;It sure looks ugly though.&lt;strong&gt;&lt;br&gt;&lt;/strong&gt;&lt;/p&gt;</description>
      <guid>144318</guid>
      <pubDate>Fri, 08 Mar 2013 02:00:08 Z</pubDate>
      <itunes:author>Carl Love</itunes:author>
      <author>Carl Love</author>
    </item>
    <item>
      <title>By use of ' '</title>
      <link>http://www.mapleprimes.com/questions/144313-Simplify-But-Not?ref=Feed:MaplePrimes:simplify, but not:Comments#answer144320</link>
      <itunes:summary>&lt;p&gt;How about this?&lt;/p&gt;
&lt;p&gt;&lt;br&gt; &lt;/p&gt;
&lt;form name="worksheet_form"&gt;
&lt;table style="width: 576px;" align="center"&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=144320/455530/565329571d99a0ab453110618f6f7cbd.gif" alt="NULL" width="11" height="23"&gt;&lt;/p&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=144320/455530/fb0bdcb4ba1d2d1177a9a7871d16ebbd.gif" alt="NULL" width="11" height="23"&gt;&lt;/p&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -16;" src="/view.aspx?sf=144320/455530/89eba446b3788d936c6ad7d22d134561.gif" alt="is('12'^j/'12'-(1/12)*12^j = 0)" width="161" height="46"&gt;&lt;/p&gt;
&lt;table&gt;
&lt;tbody&gt;
&lt;tr valign="baseline"&gt;
&lt;td&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=144320/455530/4f4c8d50f06273c0c3c6e42b0add2874.gif" alt="true" width="30" height="23"&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;(1)&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=144320/455530/8e19da9d6534badf0327a6c016595bbd.gif" alt="``" width="11" height="23"&gt;&lt;/p&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -16;" src="/view.aspx?sf=144320/455530/48472f6372f02ec910f80a9d5e803e3f.gif" alt="simplify('12'^j/'12')" width="107" height="46"&gt;&lt;/p&gt;
&lt;table&gt;
&lt;tbody&gt;
&lt;tr valign="baseline"&gt;
&lt;td&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=144320/455530/81d157bc357f51f8bd1b416efbf85dd1.gif" alt="12^(j-1)" width="47" height="27"&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;(2)&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=144320/455530/ce3d5dff671805eba85c7171122f5c2d.gif" alt="``" width="11" height="23"&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;input type="hidden" name="sequence" value="1"&gt; &lt;input type="hidden" name="cmd" value="none"&gt;&lt;/form&gt;
&lt;p&gt;&lt;br&gt; As far as I remember it, a similar topic was recently considered. Unfortunately, I can't find references in a short time.&lt;/p&gt;
&lt;p&gt;&lt;a href="/view.aspx?sf=144320/455530/simplify.mw"&gt;Download simplify.mw&lt;/a&gt;&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;How about this?&lt;/p&gt;
&lt;p&gt;&lt;br&gt; &lt;/p&gt;
&lt;form name="worksheet_form"&gt;
&lt;table style="width: 576px;" align="center"&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=144320/455530/565329571d99a0ab453110618f6f7cbd.gif" alt="NULL" width="11" height="23"&gt;&lt;/p&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=144320/455530/fb0bdcb4ba1d2d1177a9a7871d16ebbd.gif" alt="NULL" width="11" height="23"&gt;&lt;/p&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -16;" src="/view.aspx?sf=144320/455530/89eba446b3788d936c6ad7d22d134561.gif" alt="is('12'^j/'12'-(1/12)*12^j = 0)" width="161" height="46"&gt;&lt;/p&gt;
&lt;table&gt;
&lt;tbody&gt;
&lt;tr valign="baseline"&gt;
&lt;td&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=144320/455530/4f4c8d50f06273c0c3c6e42b0add2874.gif" alt="true" width="30" height="23"&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;(1)&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=144320/455530/8e19da9d6534badf0327a6c016595bbd.gif" alt="``" width="11" height="23"&gt;&lt;/p&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -16;" src="/view.aspx?sf=144320/455530/48472f6372f02ec910f80a9d5e803e3f.gif" alt="simplify('12'^j/'12')" width="107" height="46"&gt;&lt;/p&gt;
&lt;table&gt;
&lt;tbody&gt;
&lt;tr valign="baseline"&gt;
&lt;td&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=144320/455530/81d157bc357f51f8bd1b416efbf85dd1.gif" alt="12^(j-1)" width="47" height="27"&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;(2)&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=144320/455530/ce3d5dff671805eba85c7171122f5c2d.gif" alt="``" width="11" height="23"&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;input type="hidden" name="sequence" value="1"&gt; &lt;input type="hidden" name="cmd" value="none"&gt;&lt;/form&gt;
&lt;p&gt;&lt;br&gt; As far as I remember it, a similar topic was recently considered. Unfortunately, I can't find references in a short time.&lt;/p&gt;
&lt;p&gt;&lt;a href="/view.aspx?sf=144320/455530/simplify.mw"&gt;Download simplify.mw&lt;/a&gt;&lt;/p&gt;</description>
      <guid>144320</guid>
      <pubDate>Fri, 08 Mar 2013 02:31:24 Z</pubDate>
      <itunes:author>Markiyan Hirnyk</itunes:author>
      <author>Markiyan Hirnyk</author>
    </item>
    <item>
      <title>Another way</title>
      <link>http://www.mapleprimes.com/questions/144313-Simplify-But-Not?ref=Feed:MaplePrimes:simplify, but not:Comments#answer144324</link>
      <itunes:summary>&lt;p&gt;How about this?&lt;/p&gt;
&lt;p&gt;&lt;img src="data:image/png;base64,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" alt=""&gt;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;true&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;How about this?&lt;/p&gt;
&lt;p&gt;&lt;img src="data:image/png;base64,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" alt=""&gt;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;true&lt;/p&gt;</description>
      <guid>144324</guid>
      <pubDate>Fri, 08 Mar 2013 03:06:34 Z</pubDate>
      <itunes:author>Markiyan Hirnyk</itunes:author>
      <author>Markiyan Hirnyk</author>
    </item>
    <item>
      <title>crude</title>
      <link>http://www.mapleprimes.com/questions/144313-Simplify-But-Not?ref=Feed:MaplePrimes:simplify, but not:Comments#answer144332</link>
      <itunes:summary>&lt;pre&gt;y := 16^j/16:&lt;br&gt;subs(16=z,1/16=1/z,y):&lt;br&gt;combine(%,power,symbolic):&lt;br&gt;subs(z=16, %);&lt;br&gt;&amp;nbsp;&lt;/pre&gt;
&lt;p&gt;I now see that that is essentially Carl's approach, but with &lt;a href="http://www.maplesoft.com/support/help/search.aspx?term=combine,power"&gt;?combine,power&lt;/a&gt; instead of simplify. Hmm. A simpler approach, then, is&lt;/p&gt;
&lt;pre&gt;y := 16^j/16:&lt;br&gt;subs(k=j-1,simplify(subs(j=k+1,y)));&amp;nbsp;&lt;/pre&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;</itunes:summary>
      <description>&lt;pre&gt;y := 16^j/16:&lt;br&gt;subs(16=z,1/16=1/z,y):&lt;br&gt;combine(%,power,symbolic):&lt;br&gt;subs(z=16, %);&lt;br&gt;&amp;nbsp;&lt;/pre&gt;
&lt;p&gt;I now see that that is essentially Carl's approach, but with &lt;a href="http://www.maplesoft.com/support/help/search.aspx?term=combine,power"&gt;?combine,power&lt;/a&gt; instead of simplify. Hmm. A simpler approach, then, is&lt;/p&gt;
&lt;pre&gt;y := 16^j/16:&lt;br&gt;subs(k=j-1,simplify(subs(j=k+1,y)));&amp;nbsp;&lt;/pre&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;</description>
      <guid>144332</guid>
      <pubDate>Fri, 08 Mar 2013 03:45:32 Z</pubDate>
      <itunes:author>Joe Riel</itunes:author>
      <author>Joe Riel</author>
    </item>
    <item>
      <title>That's 12. What about 16?</title>
      <link>http://www.mapleprimes.com/questions/144313-Simplify-But-Not?ref=Feed:MaplePrimes:simplify, but not:Comments#comment144322</link>
      <itunes:summary>&lt;p&gt;It's not so simple. You used 12 instead of 16. Try it with 16.&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;It's not so simple. You used 12 instead of 16. Try it with 16.&lt;/p&gt;</description>
      <guid>144322</guid>
      <pubDate>Fri, 08 Mar 2013 02:47:13 Z</pubDate>
      <itunes:author>Carl Love</itunes:author>
      <author>Carl Love</author>
    </item>
    <item>
      <title>Thank you</title>
      <link>http://www.mapleprimes.com/questions/144313-Simplify-But-Not?ref=Feed:MaplePrimes:simplify, but not:Comments#comment144325</link>
      <itunes:summary>&lt;p&gt;&lt;a href="http://www.mapleprimes.com/questions/144313-Simplify-But-Not#comment144322"&gt;@Carl Love&lt;/a&gt; for the indication of my inaccuracy.&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;&lt;a href="http://www.mapleprimes.com/questions/144313-Simplify-But-Not#comment144322"&gt;@Carl Love&lt;/a&gt; for the indication of my inaccuracy.&lt;/p&gt;</description>
      <guid>144325</guid>
      <pubDate>Fri, 08 Mar 2013 03:07:57 Z</pubDate>
      <itunes:author>Markiyan Hirnyk</itunes:author>
      <author>Markiyan Hirnyk</author>
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