http://wiki.karljones.com/index.php?action=history&feed=atom&title=Closed-form_expression 2026-10-23T15:53:59Z Revision history for this page on the wiki MediaWiki 1.24.2 http://wiki.karljones.com/index.php?title=Closed-form_expression&diff=18138&oldid=prev 2016-09-09T15:24:19Z

<p>‎<span dir="auto"><span class="autocomment">See also</span></span></p> <table class='diff diff-contentalign-left'> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 15:24, 9 September 2016</td> </tr><tr><td colspan="2" class="diff-lineno">Line 16:</td> <td colspan="2" class="diff-lineno">Line 16:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Finitary operation]]</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Finitary operation]]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Liouvillian function]]</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Liouvillian function]]</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* [[Numerical <del class="diffchange diffchange-inline">solution</del>]]</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* [[Numerical <ins class="diffchange diffchange-inline">analysis</ins>]]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Symbolic regression]]</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Symbolic regression]]</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Term (logic)]]</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Term (logic)]]</div></td></tr> </table>

Karl Jones http://wiki.karljones.com/index.php?title=Closed-form_expression&diff=18137&oldid=prev 2016-09-09T15:19:37Z

<p>Created page with &quot;In <a href="/index.php/Mathematics" title="Mathematics">mathematics</a>, a &#039;&#039;&#039;closed-form expression&#039;&#039;&#039; is a <a href="/index.php/Expression_(mathematics)" title="Expression (mathematics)">mathematical expression</a> that can be evaluated in a finite number of operations. == Descri...&quot;</p> <p><b>New page</b></p><div>In [[mathematics]], a '''closed-form expression''' is a [[Expression (mathematics)|mathematical expression]] that can be evaluated in a finite number of operations.<br /> <br /> == Description ==<br /> <br /> It may contain constants, variables, certain &quot;well-known&quot; operations (e.g., + − × ÷), and [[Function (mathematics)|functions]] (e.g., nth root, exponent, logarithm, trigonometric functions, and inverse hyperbolic functions), but usually no limit.<br /> <br /> The set of operations and functions admitted in a closed-form expression may vary with author and context.<br /> <br /> Problems are said to be [[Cobham's thesis|tractable]] if they can be solved in terms of a closed-form expression.<br /> <br /> == See also ==<br /> <br /> * [[Algebraic solution]]<br /> * [[Computer simulation]]<br /> * [[Elementary function]]<br /> * [[Finitary operation]]<br /> * [[Liouvillian function]]<br /> * [[Numerical solution]]<br /> * [[Symbolic regression]]<br /> * [[Term (logic)]]<br /> <br /> == External links ==<br /> <br /> * [https://en.wikipedia.org/wiki/Closed-form_expression Closed-form expression] @ Wikipedia<br /> <br /> <br /> [[Category:Mathematics]]</div>

Karl Jones