https://en.formulasearchengine.com/w/index.php?action=history&feed=atom&title=Gibbs_state 2026-08-14T03:20:33Z Revision history for this page on the wiki MediaWiki 1.47.0-wmf.7 https://en.formulasearchengine.com/w/index.php?title=Gibbs_state&diff=11548&oldid=prev 2013-08-29T14:56:12Z

<p></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 16:56, 29 August 2013</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;">The author</del>'s <del style="font-weight: bold; text-decoration: none;">name is Christy Brookins</del>. <del style="font-weight: bold; text-decoration: none;">He </del>is <del style="font-weight: bold; text-decoration: none;">an order clerk and it</del>'s <del style="font-weight: bold; text-decoration: none;">some thing he truly enjoy</del>. <del style="font-weight: bold; text-decoration: none;">Some time ago he selected to reside in North Carolina </del>and <del style="font-weight: bold; text-decoration: none;">he doesn't strategy on altering </del>it. <del style="font-weight: bold; text-decoration: none;">What me and my family adore is </del>to <del style="font-weight: bold; text-decoration: none;">climb </del>but I<del style="font-weight: bold; text-decoration: none;">'m considering on starting something new</del>.<del style="font-weight: bold; text-decoration: none;">&lt;br&gt;&lt;br&gt;My blog :: clairvoyants </del>(<del style="font-weight: bold; text-decoration: none;">[</del>http://<del style="font-weight: bold; text-decoration: none;">test</del>.<del style="font-weight: bold; text-decoration: none;">jeka</del>-<del style="font-weight: bold; text-decoration: none;">nn</del>.<del style="font-weight: bold; text-decoration: none;">ru</del>/<del style="font-weight: bold; text-decoration: none;">node</del>/<del style="font-weight: bold; text-decoration: none;">129 please click the following page</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, a </ins>'<ins style="font-weight: bold; text-decoration: none;">''Moishezon manifold''' ''M'' is a compact [[complex manifold]] such that the field of [[meromorphic function]]</ins>s <ins style="font-weight: bold; text-decoration: none;">on each component ''M'' has transcendence degree equal the [[complex dimension]] of the component:</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;">:&lt;math&gt;\dim_\mathbb{C}M=a(M)=\operatorname{tr.deg.}_\mathbb{C}\mathbb{C}(M)</ins>.<ins style="font-weight: bold; text-decoration: none;">&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><ins style="font-weight: bold; text-decoration: none;">Complex algebraic varieties have this property, but the converse </ins>is <ins style="font-weight: bold; text-decoration: none;">not true: [[Hironaka</ins>'s <ins style="font-weight: bold; text-decoration: none;">example]] gives a smooth 3-dimensional Moishezon manifold of dimension 3 that is not an algebraic variety or scheme</ins>. <ins style="font-weight: bold; text-decoration: none;"> {{harvs|txt|last=Moishezon|year=1966|loc=Chapter I, Theorem 11|authorlink=Boris Moishezon}} showed that a Moishezon manifold is a [[projective algebraic variety]] if </ins>and <ins style="font-weight: bold; text-decoration: none;">only if </ins>it <ins style="font-weight: bold; text-decoration: none;">admits a [[Kähler metric]]</ins>. <ins style="font-weight: bold; text-decoration: none;">{{harvtxt|Artin|1970}} showed that any Moishezon manifold carries an [[algebraic space]] structure; more precisely, the category of Moishezon spaces (similar </ins>to <ins style="font-weight: bold; text-decoration: none;">Moishezon manifolds, </ins>but <ins style="font-weight: bold; text-decoration: none;">are allowed to have singularities) is equivalent with the category of algebraic spaces that are proper over Spec('''C''').</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 | last=Artin | first1=M. |authorlink=Michael Artin| title=Algebraization of formal moduli, II. Existence of modification | year=1970 | journal=Ann. of Math., | volume=91 | pages=88–135|jstor=1970602}}</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;">* {{Citation | last=Moishezon | first1=B.G. | title=On n-dimensional compact varieties with n algebraically independent meromorphic functions, </ins>I<ins style="font-weight: bold; text-decoration: none;">, II and III | year=1966 | journal=Izv. Akad. Nauk SSSR Ser. Mat., | volume=30 | pages=133–174 345–386 621–656}} English translation. AMS Translation Ser. 2, 63 51-177</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;">*{{citation|first=B. |last=Moishezon|chapter=Algebraic varieties and compact complex spaces|title= Proc. Internat</ins>. <ins style="font-weight: bold; text-decoration: none;">Congress Mathematicians </ins>(<ins style="font-weight: bold; text-decoration: none;">Nice, 1970) |volume= 2 |publisher= Gauthier-Villars |year=1971|pages=643–648 |mr=0425189|url=</ins>http://<ins style="font-weight: bold; text-decoration: none;">ada00.math</ins>.<ins style="font-weight: bold; text-decoration: none;">uni</ins>-<ins style="font-weight: bold; text-decoration: none;">bielefeld</ins>.<ins style="font-weight: bold; text-decoration: none;">de/ICM</ins>/<ins style="font-weight: bold; text-decoration: none;">ICM1970.2</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> </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:Algebraic 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><ins style="font-weight: bold; text-decoration: none;">[[Category:Analytic geometry| ]</ins>]</div></td></tr> </table>

en>Nanite https://en.formulasearchengine.com/w/index.php?title=Gibbs_state&diff=244282&oldid=prev 2012-02-15T20:50:24Z

<p>link</p> <p><b>New page</b></p><div>The author&#039;s name is Christy Brookins. He is an order clerk and it&#039;s some thing he truly enjoy. Some time ago he selected to reside in North Carolina and he doesn&#039;t strategy on altering it. What me and my family adore is to climb but I&#039;m considering on starting something new.&lt;br&gt;&lt;br&gt;My blog :: clairvoyants ([http://test.jeka-nn.ru/node/129 please click the following page])</div>

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