https://en.formulasearchengine.com/w/index.php?action=history&feed=atom&title=Lithium_burning
Lithium burning - Revision history
2026-09-25T02:26:17Z
Revision history for this page on the wiki
MediaWiki 1.47.0-wmf.7
https://en.formulasearchengine.com/w/index.php?title=Lithium_burning&diff=18132&oldid=prev
en>QuackGuru: extra spaces
2014-02-02T07:03:15Z
<p>extra spaces</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 09:03, 2 February 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;">Hi there</del>. Let <del style="font-weight: bold; text-decoration: none;">me start by introducing the writer</del>, <del style="font-weight: bold; text-decoration: none;">her title is Sophia Boon but she by no means really liked that title</del>. <del style="font-weight: bold; text-decoration: none;">She is truly fond </del>of <del style="font-weight: bold; text-decoration: none;">caving but she doesn</del>'<del style="font-weight: bold; text-decoration: none;">t have </del>the <del style="font-weight: bold; text-decoration: none;">time recently</del>. <del style="font-weight: bold; text-decoration: none;">Some time ago he selected </del>to <del style="font-weight: bold; text-decoration: none;">reside </del>in <del style="font-weight: bold; text-decoration: none;">North Carolina </del>and <del style="font-weight: bold; text-decoration: none;">he doesn't strategy on changing it</del>. <del style="font-weight: bold; text-decoration: none;">[http</del>://<del style="font-weight: bold; text-decoration: none;">www.familysurvivalgroup.com</del>/<del style="font-weight: bold; text-decoration: none;">easy-methods-planting-looking-backyard</del>/ <del style="font-weight: bold; text-decoration: none;">real psychics] He is an order clerk </del>and <del style="font-weight: bold; text-decoration: none;">it's something he really appreciate.</del><<del style="font-weight: bold; text-decoration: none;">br</del>><<del style="font-weight: bold; text-decoration: none;">br</del>><del style="font-weight: bold; text-decoration: none;">my site - online [http:</del>//<del style="font-weight: bold; text-decoration: none;">www</del>.<del style="font-weight: bold; text-decoration: none;">weddingwall</del>.<del style="font-weight: bold; text-decoration: none;">com</del>.<del style="font-weight: bold; text-decoration: none;">au/groups/easy</del>-<del style="font-weight: bold; text-decoration: none;">advice</del>-<del style="font-weight: bold; text-decoration: none;">for</del>-<del style="font-weight: bold; text-decoration: none;">successful</del>-<del style="font-weight: bold; text-decoration: none;">personal-development-today/ psychic love readings] readings (</del>[http://<del style="font-weight: bold; text-decoration: none;">fashionlinked</del>.<del style="font-weight: bold; text-decoration: none;">com</del>/index.php<del style="font-weight: bold; text-decoration: none;">?do=</del>/<del style="font-weight: bold; text-decoration: none;">profile-13453/info/ fashionlinked</del>.<del style="font-weight: bold; text-decoration: none;">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;">In mathematics, the '''KdV hierarchy''' is an infinite sequence of [[partial differential equation]]s which starts with the [[Korteweg–de Vries equation]].</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;">Let <math>T</math> be translation operator defined on real valued [[Function (mathematics)|functions]] as <math>T(g)(x)=g(x+1)</math></ins>. Let <ins style="font-weight: bold; text-decoration: none;"><math>\mathcal{C}</math> be set of all [[analytic function]]s that satisfy <math>T(g)(x)=g(x)</math></ins>, <ins style="font-weight: bold; text-decoration: none;">i.e</ins>. <ins style="font-weight: bold; text-decoration: none;">[[periodic function]]s </ins>of <ins style="font-weight: bold; text-decoration: none;">period 1. For each <math>g \in \mathcal{C}</math>, define an operator</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;"><math>L_g(\psi)(x) = \psi</ins>'<ins style="font-weight: bold; text-decoration: none;">'(x) + g(x) \psi(x)</math></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;">on </ins>the <ins style="font-weight: bold; text-decoration: none;">space of [[smooth function]]s on <math>\mathbb{R}</math></ins>. <ins style="font-weight: bold; text-decoration: none;">We define the [[Bloch spectrum]] <math>\mathcal{B}_g</math> </ins>to <ins style="font-weight: bold; text-decoration: none;">be the set of <math>(\lambda,\alpha) \</ins>in <ins style="font-weight: bold; text-decoration: none;">\mathbb{C}\times\mathbb{C}^*</math> such that there is a nonzero function <math>\psi</math> with <math>L_g(\psi)=\lambda\psi</math> </ins>and <ins style="font-weight: bold; text-decoration: none;"><math>T(\psi)=\alpha\psi</math></ins>. <ins style="font-weight: bold; text-decoration: none;">The KdV hierarchy is a sequence of nonlinear differential operators </ins> <ins style="font-weight: bold; text-decoration: none;"><math>D_i</ins>: <ins style="font-weight: bold; text-decoration: none;">\mathcal{C} \to \mathcal{C}</math> such that for any <math>i<</ins>/<ins style="font-weight: bold; text-decoration: none;">math> we have an analytic function <math>g(x,t)<</ins>/<ins style="font-weight: bold; text-decoration: none;">math> and we define <math>g_t(x)<</ins>/<ins style="font-weight: bold; text-decoration: none;">math> to be <math>g(x,t)<</ins>/<ins style="font-weight: bold; text-decoration: none;">math> </ins>and</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;"><math>D_i(g_t)= \frac{d}{dt} g_t </ins><<ins style="font-weight: bold; text-decoration: none;">/math</ins>><ins style="font-weight: bold; text-decoration: none;">,</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;">then </ins><<ins style="font-weight: bold; text-decoration: none;">math</ins>><ins style="font-weight: bold; text-decoration: none;">\mathcal{B}_g<</ins>/<ins style="font-weight: bold; text-decoration: none;">math> is independent of <math>t<</ins>/<ins style="font-weight: bold; text-decoration: none;">math></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;">==See also==</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;">*[[Witten's conjecture]]</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> </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;">*{{Citation | last1=Gesztesy | first1=Fritz | last2=Holden | first2=Helge | title=Soliton equations and their algebro-geometric solutions</ins>. <ins style="font-weight: bold; text-decoration: none;">Vol</ins>. <ins style="font-weight: bold; text-decoration: none;">I | publisher=[[Cambridge University Press]] | series=Cambridge Studies in Advanced Mathematics | isbn=978</ins>-<ins style="font-weight: bold; text-decoration: none;">0</ins>-<ins style="font-weight: bold; text-decoration: none;">521</ins>-<ins style="font-weight: bold; text-decoration: none;">75307</ins>-<ins style="font-weight: bold; text-decoration: none;">4 | id={{MR|1992536}} | year=2003 | volume=79}}</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;">== External links ==</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;">* </ins>[http://<ins style="font-weight: bold; text-decoration: none;">wiki.math</ins>.<ins style="font-weight: bold; text-decoration: none;">toronto.edu/DispersiveWiki</ins>/index.php/<ins style="font-weight: bold; text-decoration: none;">KdV_hierarchy] at the Dispersive PDE Wiki</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:Partial differential equations]]</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;">[[Category:Solitons]]</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;">[[Category:Exactly solvable models]</ins>]</div></td></tr>
</table>
en>QuackGuru
https://en.formulasearchengine.com/w/index.php?title=Lithium_burning&diff=256068&oldid=prev
en>Choster: Category:Lithium
2012-07-20T00:44:24Z
<p>Category:Lithium</p>
<p><b>New page</b></p><div>Hi there. Let me start by introducing the writer, her title is Sophia Boon but she by no means really liked that title. She is truly fond of caving but she doesn't have the time recently. Some time ago he selected to reside in North Carolina and he doesn't strategy on changing it. [http://www.familysurvivalgroup.com/easy-methods-planting-looking-backyard/ real psychics] He is an order clerk and it's something he really appreciate.<br><br>my site - online [http://www.weddingwall.com.au/groups/easy-advice-for-successful-personal-development-today/ psychic love readings] readings ([http://fashionlinked.com/index.php?do=/profile-13453/info/ fashionlinked.com])</div>
en>Choster