https://en.formulasearchengine.com/index.php?action=history&feed=atom&title=Anharmonicity 2026-04-18T16:41:53Z Revision history for this page on the wiki MediaWiki 1.43.0-wmf.28 https://en.formulasearchengine.com/index.php?title=Anharmonicity&diff=244378&oldid=prev 2014-03-14T00:25:57Z

<p><span class="autocomment">Examples in physics: </span>sp, date &amp; link fixes; unlinking common words, replaced: Møller-Plesset → Møller–Plesset using <a href="/index.php?title=Testwiki:AWB&amp;action=edit&amp;redlink=1" class="new" title="Testwiki:AWB (page does not exist)">AWB</a></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 02:25, 14 March 2014</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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><del style="font-weight: bold; text-decoration: none;">{{About|the concept in geometry|the concept in [[mathematical optimization]]|Fenchel's duality theorem}}</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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><ins style="font-weight: bold; text-decoration: none;">I would like to introduce myself to you</ins>, <ins style="font-weight: bold; text-decoration: none;">I am Jayson Simcox but I don</ins>'<ins style="font-weight: bold; text-decoration: none;">t like when people use my full title. One of </ins>the <ins style="font-weight: bold; text-decoration: none;">things she enjoys most </ins>is <ins style="font-weight: bold; text-decoration: none;">canoeing and she</ins>'<ins style="font-weight: bold; text-decoration: none;">s been doing it for fairly a whilst. I am presently a journey agent</ins>. <ins style="font-weight: bold; text-decoration: none;">Her family members life </ins>in <ins style="font-weight: bold; text-decoration: none;">Ohio.</ins>&lt;<ins style="font-weight: bold; text-decoration: none;">br</ins>&gt;&lt;<ins style="font-weight: bold; text-decoration: none;">br</ins>&gt;<ins style="font-weight: bold; text-decoration: none;">Also visit my web site; </ins>[http://<ins style="font-weight: bold; text-decoration: none;">myfusionprofits</ins>.com/<ins style="font-weight: bold; text-decoration: none;">groups</ins>/<ins style="font-weight: bold; text-decoration: none;">find-out-about-self-improvement-tips-here</ins>/ <ins style="font-weight: bold; text-decoration: none;">good psychic</ins>]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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><del style="font-weight: bold; text-decoration: none;">In [[differential geometry]]</del>, '<del style="font-weight: bold; text-decoration: none;">''Fenchel's theorem''' ([[Werner Fenchel]], 1929) states that </del>the <del style="font-weight: bold; text-decoration: none;">average [[curvature]] of any closed convex plane curve </del>is</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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><del style="font-weight: bold; text-decoration: none;">: &lt;math&gt; \frac{2 \pi}{P},&lt;/math&gt;</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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><del style="font-weight: bold; text-decoration: none;">where </del>'<del style="font-weight: bold; text-decoration: none;">'P'' is the perimeter</del>. <del style="font-weight: bold; text-decoration: none;">More generally, for an arbitrary closed curve </del>in <del style="font-weight: bold; text-decoration: none;">space the average curvature is </del>&lt;<del style="font-weight: bold; text-decoration: none;">math</del>&gt;<del style="font-weight: bold; text-decoration: none;">\ge \frac{2 \pi}{P}</del>&lt;<del style="font-weight: bold; text-decoration: none;">/math</del>&gt; <del style="font-weight: bold; text-decoration: none;">with equality holding only for convex plane curves.</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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><del style="font-weight: bold; text-decoration: none;">==References==</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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><del style="font-weight: bold; text-decoration: none;">* W. Fenchel, Über Krümmung und Windung geschlossener Raumkurven, Math. Ann. 101 (1929), 238-252. </del>[http://<del style="font-weight: bold; text-decoration: none;">www.springerlink</del>.com/<del style="font-weight: bold; text-decoration: none;">content</del>/<del style="font-weight: bold; text-decoration: none;">v45m1546747t2315</del>/]</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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><del style="font-weight: bold; text-decoration: none;">[[Category:Theorems in differential geometry]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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><del style="font-weight: bold; text-decoration: none;">{{differential-geometry-stub}}</del></div></td><td colspan="2" class="diff-side-added"></td></tr> </table>

en>Colonies Chris https://en.formulasearchengine.com/index.php?title=Anharmonicity&diff=11600&oldid=prev 2014-01-14T00:16:29Z

<p><span class="autocomment">Examples in physics: </span>Fix <a href="/index.php?title=Help:CS1_errors&amp;action=edit&amp;redlink=1" class="new" title="Help:CS1 errors (page does not exist)">CS1 deprecated date parameter errors</a></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 02:16, 14 January 2014</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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><del style="font-weight: bold; text-decoration: none;">I would like to introduce myself to you</del>, <del style="font-weight: bold; text-decoration: none;">I am Andrew and my spouse doesn</del>'<del style="font-weight: bold; text-decoration: none;">t like it at all. 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To perform lacross </del>is the <del style="font-weight: bold; text-decoration: none;">factor I adore most of all</del>. <del style="font-weight: bold; text-decoration: none;">Distributing production </del>is <del style="font-weight: bold; text-decoration: none;">exactly where my primary earnings arrives from and it's something I really enjoy.</del>&lt;<del style="font-weight: bold; text-decoration: none;">br</del>&gt;&lt;<del style="font-weight: bold; text-decoration: none;">br</del>&gt;<del style="font-weight: bold; text-decoration: none;">My webpage :: spirit messages </del>([http://<del style="font-weight: bold; text-decoration: none;">fashionlinked</del>.com/<del style="font-weight: bold; text-decoration: none;">index.php?do=</del>/<del style="font-weight: bold; text-decoration: none;">profile-13453</del>/<del style="font-weight: bold; text-decoration: none;">info/ fashionlinked.com</del>]<del style="font-weight: bold; text-decoration: none;">)</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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><ins style="font-weight: bold; text-decoration: none;">{{About|the concept in geometry|the concept in [[mathematical optimization]]|Fenchel's duality theorem}}</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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><ins style="font-weight: bold; text-decoration: none;">In [[differential geometry]]</ins>, '<ins style="font-weight: bold; text-decoration: none;">''Fenchel's theorem''' ([[Werner Fenchel]], 1929) states that the average [[curvature]] of any closed convex plane curve </ins>is</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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><ins style="font-weight: bold; text-decoration: none;">: &lt;math&gt; \frac{2 \pi}{P},&lt;/math&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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>where '<ins style="font-weight: bold; text-decoration: none;">'P'' </ins>is the <ins style="font-weight: bold; text-decoration: none;">perimeter</ins>. <ins style="font-weight: bold; text-decoration: none;">More generally, for an arbitrary closed curve in space the average curvature </ins>is &lt;<ins style="font-weight: bold; text-decoration: none;">math</ins>&gt;<ins style="font-weight: bold; text-decoration: none;">\ge \frac{2 \pi}{P}</ins>&lt;<ins style="font-weight: bold; text-decoration: none;">/math</ins>&gt; <ins style="font-weight: bold; text-decoration: none;">with equality holding only for convex plane curves.</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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><ins style="font-weight: bold; text-decoration: none;">==References==</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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><ins style="font-weight: bold; text-decoration: none;">* W. Fenchel, Über Krümmung und Windung geschlossener Raumkurven, Math. Ann. 101 </ins>(<ins style="font-weight: bold; text-decoration: none;">1929), 238-252. </ins>[http://<ins style="font-weight: bold; text-decoration: none;">www.springerlink</ins>.com/<ins style="font-weight: bold; text-decoration: none;">content</ins>/<ins style="font-weight: bold; text-decoration: none;">v45m1546747t2315</ins>/]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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><ins style="font-weight: bold; text-decoration: none;">[[Category:Theorems in differential geometry]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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><ins style="font-weight: bold; text-decoration: none;">{{differential-geometry-stub}}</ins></div></td></tr> </table>

en>Monkbot https://en.formulasearchengine.com/index.php?title=Anharmonicity&diff=244377&oldid=prev 2012-02-29T14:50:53Z

<p>Adding 0 <a href="/index.php?title=ArXiv&amp;action=edit&amp;redlink=1" class="new" title="ArXiv (page does not exist)">arxiv eprint(s)</a>, 1 <a href="/index.php?title=Bibcode&amp;action=edit&amp;redlink=1" class="new" title="Bibcode (page does not exist)">bibcode(s)</a> and 1 <a href="/index.php?title=Digital_object_identifier&amp;action=edit&amp;redlink=1" class="new" title="Digital object identifier (page does not exist)">doi(s)</a>. Did it miss something? Report bugs, errors, and suggestions at <a href="/index.php?title=User_talk:Bibcode_Bot&amp;action=edit&amp;redlink=1" class="new" title="User talk:Bibcode Bot (page does not exist)">User talk:Bibcode Bot</a></p> <p><b>New page</b></p><div>I would like to introduce myself to you, I am Andrew and my spouse doesn&#039;t like it at all. Alaska is exactly where I&#039;ve usually been residing. To perform lacross is the factor I adore most of all. Distributing production is exactly where my primary earnings arrives from and it&#039;s something I really enjoy.&lt;br&gt;&lt;br&gt;My webpage :: spirit messages ([http://fashionlinked.com/index.php?do=/profile-13453/info/ fashionlinked.com])</div>

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