http://www.convexoptimization.com/wikimization/index.php?action=history&feed=atom&title=Euclidean_distance_cone_faces 2026-04-24T16:55:20Z Revision history for this page on the wiki MediaWiki 1.11.0 http://www.convexoptimization.com/wikimization/index.php?title=Euclidean_distance_cone_faces&diff=1736&oldid=prev 2009-11-11T23:42:54Z

<p>Protected &quot;<a href="/wikimization/index.php/Euclidean_distance_cone_faces" title="Euclidean distance cone faces">Euclidean distance cone faces</a>&quot; [edit=autoconfirmed:move=autoconfirmed]</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">←Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 23:42, 11 November 2009</td> </tr> </table>

Ranjelin http://www.convexoptimization.com/wikimization/index.php?title=Euclidean_distance_cone_faces&diff=1735&oldid=prev 2009-11-11T23:42:43Z

<p>Unprotected &quot;<a href="/wikimization/index.php/Euclidean_distance_cone_faces" title="Euclidean distance cone faces">Euclidean distance cone faces</a>&quot;</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">←Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 23:42, 11 November 2009</td> </tr> </table>

Ranjelin http://www.convexoptimization.com/wikimization/index.php?title=Euclidean_distance_cone_faces&diff=1734&oldid=prev 2009-11-11T23:42:13Z

<p>Reverted edits by <a href="/wikimization/index.php/Special:Contributions/202.99.29.27" title="Special:Contributions/202.99.29.27">202.99.29.27</a> (<a href="/wikimization/index.php?title=User_talk:202.99.29.27&amp;action=edit" class="new" title="User talk:202.99.29.27">Talk</a>); changed back to last version by <a href="/wikimization/index.php/User:Dattorro" title="User:Dattorro">Dattorro</a></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">←Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 23:42, 11 November 2009</td> </tr> <tr><td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">Be9IGK </del>&lt;<del style="color: red; font-weight: bold; text-decoration: none;">a href=&quot;http://kcgvsxspxfiz.com/&quot;</del>&gt;<del style="color: red; font-weight: bold; text-decoration: none;">kcgvsxspxfiz</del>&lt;/a<del style="color: red; font-weight: bold; text-decoration: none;">&gt;</del>, [<del style="color: red; font-weight: bold; text-decoration: none;">url=</del>http://<del style="color: red; font-weight: bold; text-decoration: none;">qpnvmnnsugnc</del>.com/<del style="color: red; font-weight: bold; text-decoration: none;">]qpnvmnnsugnc[</del>/<del style="color: red; font-weight: bold; text-decoration: none;">url</del>]<del style="color: red; font-weight: bold; text-decoration: none;">, </del>[<del style="color: red; font-weight: bold; text-decoration: none;">link=</del>http://<del style="color: red; font-weight: bold; text-decoration: none;">ejdrozqrexlq</del>.com/<del style="color: red; font-weight: bold; text-decoration: none;">]ejdrozqrexlq[</del>/<del style="color: red; font-weight: bold; text-decoration: none;">link</del>], <del style="color: red; font-weight: bold; text-decoration: none;">http:</del>/<del style="color: red; font-weight: bold; text-decoration: none;">/zjcypltghuqw</del>.<del style="color: red; font-weight: bold; text-decoration: none;">com/</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">The question remains open whether all faces of the cone of Euclidean distance matrices </ins>&lt;<ins style="color: red; font-weight: bold; text-decoration: none;">math</ins>&gt;<ins style="color: red; font-weight: bold; text-decoration: none;">\,\mathbb{EDM}^N\!</ins>&lt;/<ins style="color: red; font-weight: bold; text-decoration: none;">math&gt;</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">'''('''whose dimension is less than dimension of the cone''')'''</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">are exposed like they are for the positive semidefinite cone.</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">For </ins>a <ins style="color: red; font-weight: bold; text-decoration: none;">better explanation</ins>, <ins style="color: red; font-weight: bold; text-decoration: none;">see section 6.5.3 in </ins>[http://<ins style="color: red; font-weight: bold; text-decoration: none;">meboo.convexoptimization</ins>.com/<ins style="color: red; font-weight: bold; text-decoration: none;">BOOK</ins>/<ins style="color: red; font-weight: bold; text-decoration: none;">ConeDistanceMatrices.pdf Cone of Distance Matrices</ins>]<ins style="color: red; font-weight: bold; text-decoration: none;">.</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">Definition of ''exposure'' is in </ins>[http://<ins style="color: red; font-weight: bold; text-decoration: none;">meboo.convexoptimization</ins>.com/<ins style="color: red; font-weight: bold; text-decoration: none;">BOOK</ins>/<ins style="color: red; font-weight: bold; text-decoration: none;">convexgeometry.pdf Convex Geometry</ins>]<ins style="color: red; font-weight: bold; text-decoration: none;">. </ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">Basically, the question asks whether all faces of &lt;math&gt;\</ins>,<ins style="color: red; font-weight: bold; text-decoration: none;">\mathbb{EDM}^N\!&lt;</ins>/<ins style="color: red; font-weight: bold; text-decoration: none;">math&gt; can be defined by intersection with a supporting hyperplane; that intersection is termed ''exposure</ins>.<ins style="color: red; font-weight: bold; text-decoration: none;">''</ins></div></td></tr> </table>

Ranjelin http://www.convexoptimization.com/wikimization/index.php?title=Euclidean_distance_cone_faces&diff=1717&oldid=prev 2009-11-11T18:51:00Z

<p>RrDVOQPSJeliqIpkC</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">←Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 18:51, 11 November 2009</td> </tr> <tr><td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">The question remains open whether all faces of the cone of Euclidean distance matrices </del>&lt;<del style="color: red; font-weight: bold; text-decoration: none;">math</del>&gt;<del style="color: red; font-weight: bold; text-decoration: none;">\,\mathbb{EDM}^N\!</del>&lt;/<del style="color: red; font-weight: bold; text-decoration: none;">math&gt;</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">Be9IGK </ins>&lt;<ins style="color: red; font-weight: bold; text-decoration: none;">a href=&quot;http://kcgvsxspxfiz.com/&quot;</ins>&gt;<ins style="color: red; font-weight: bold; text-decoration: none;">kcgvsxspxfiz</ins>&lt;/a<ins style="color: red; font-weight: bold; text-decoration: none;">&gt;</ins>, [<ins style="color: red; font-weight: bold; text-decoration: none;">url=</ins>http://<ins style="color: red; font-weight: bold; text-decoration: none;">qpnvmnnsugnc</ins>.com/<ins style="color: red; font-weight: bold; text-decoration: none;">]qpnvmnnsugnc[</ins>/<ins style="color: red; font-weight: bold; text-decoration: none;">url</ins>]<ins style="color: red; font-weight: bold; text-decoration: none;">, </ins>[<ins style="color: red; font-weight: bold; text-decoration: none;">link=</ins>http://<ins style="color: red; font-weight: bold; text-decoration: none;">ejdrozqrexlq</ins>.com/<ins style="color: red; font-weight: bold; text-decoration: none;">]ejdrozqrexlq[</ins>/<ins style="color: red; font-weight: bold; text-decoration: none;">link</ins>], <ins style="color: red; font-weight: bold; text-decoration: none;">http:</ins>/<ins style="color: red; font-weight: bold; text-decoration: none;">/zjcypltghuqw</ins>.<ins style="color: red; font-weight: bold; text-decoration: none;">com/</ins></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&#160;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">'''('''whose dimension is less than dimension of the cone''')'''</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&#160;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">are exposed like they are for the positive semidefinite cone.</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&#160;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">For </del>a <del style="color: red; font-weight: bold; text-decoration: none;">better explanation</del>, <del style="color: red; font-weight: bold; text-decoration: none;">see section 6.5.3 in </del>[http://<del style="color: red; font-weight: bold; text-decoration: none;">meboo.convexoptimization</del>.com/<del style="color: red; font-weight: bold; text-decoration: none;">BOOK</del>/<del style="color: red; font-weight: bold; text-decoration: none;">ConeDistanceMatrices.pdf Cone of Distance Matrices</del>]<del style="color: red; font-weight: bold; text-decoration: none;">.</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&#160;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">Definition of ''exposure'' is in </del>[http://<del style="color: red; font-weight: bold; text-decoration: none;">meboo.convexoptimization</del>.com/<del style="color: red; font-weight: bold; text-decoration: none;">BOOK</del>/<del style="color: red; font-weight: bold; text-decoration: none;">convexgeometry.pdf Convex Geometry</del>]<del style="color: red; font-weight: bold; text-decoration: none;">. </del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>&#160;</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">Basically, the question asks whether all faces of &lt;math&gt;\</del>,<del style="color: red; font-weight: bold; text-decoration: none;">\mathbb{EDM}^N\!&lt;</del>/<del style="color: red; font-weight: bold; text-decoration: none;">math&gt; can be defined by intersection with a supporting hyperplane; that intersection is termed ''exposure</del>.<del style="color: red; font-weight: bold; text-decoration: none;">''</del></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div></div></td></tr> </table>

202.99.29.27 http://www.convexoptimization.com/wikimization/index.php?title=Euclidean_distance_cone_faces&diff=846&oldid=prev 2009-01-12T05:47:44Z

<p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">←Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 05:47, 12 January 2009</td> </tr> <tr><td colspan="2" class="diff-lineno">Line 9:</td> <td colspan="2" class="diff-lineno">Line 9:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>Definition of ''exposure'' is in [http://meboo.convexoptimization.com/BOOK/convexgeometry.pdf Convex Geometry]. </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>Definition of ''exposure'' is in [http://meboo.convexoptimization.com/BOOK/convexgeometry.pdf Convex Geometry]. </div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>Basically, the question asks whether all faces can be defined by intersection with a supporting hyperplane; that intersection is termed ''exposure.''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>Basically, the question asks whether all faces <ins style="color: red; font-weight: bold; text-decoration: none;">of &lt;math&gt;\,\mathbb{EDM}^N\!&lt;/math&gt; </ins>can be defined by intersection with a supporting hyperplane; that intersection is termed ''exposure.''</div></td></tr> </table>

Dattorro http://www.convexoptimization.com/wikimization/index.php?title=Euclidean_distance_cone_faces&diff=198&oldid=prev 2008-06-27T03:40:12Z

<p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">←Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 03:40, 27 June 2008</td> </tr> <tr><td colspan="2" class="diff-lineno">Line 7:</td> <td colspan="2" class="diff-lineno">Line 7:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>For a better explanation, see section 6.5.3 in [http://meboo.convexoptimization.com/BOOK/ConeDistanceMatrices.pdf Cone of Distance Matrices].</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>For a better explanation, see section 6.5.3 in [http://meboo.convexoptimization.com/BOOK/ConeDistanceMatrices.pdf Cone of Distance Matrices].</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>Definition of ''exposure'' is in [http://meboo.convexoptimization.com/BOOK/convexgeometry.pdf Convex Geometry].</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>Definition of ''exposure'' is in [http://meboo.convexoptimization.com/BOOK/convexgeometry.pdf Convex Geometry]. <ins style="color: red; font-weight: bold; text-decoration: none;"> </ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">Basically, the question asks whether all faces can be defined by intersection with a supporting hyperplane; that intersection is termed ''exposure.''</ins></div></td></tr> </table>

Dattorro http://www.convexoptimization.com/wikimization/index.php?title=Euclidean_distance_cone_faces&diff=197&oldid=prev 2008-06-27T03:36:51Z

<p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">←Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 03:36, 27 June 2008</td> </tr> <tr><td colspan="2" class="diff-lineno">Line 5:</td> <td colspan="2" class="diff-lineno">Line 5:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>are exposed like they are for the positive semidefinite cone.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>are exposed like they are for the positive semidefinite cone.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>For a better explanation, see section 6.5.3 in [http://meboo.convexoptimization.com/BOOK/ConeDistanceMatrices.pdf Cone of Distance Matrices]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>For a better explanation, see section 6.5.3 in [http://meboo.convexoptimization.com/BOOK/ConeDistanceMatrices.pdf Cone of Distance Matrices]<ins style="color: red; font-weight: bold; text-decoration: none;">.</ins></div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>&#160;</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;">Definition of ''exposure'' is in [http://meboo.convexoptimization.com/BOOK/convexgeometry.pdf Convex Geometry].</ins></div></td></tr> </table>

Dattorro http://www.convexoptimization.com/wikimization/index.php?title=Euclidean_distance_cone_faces&diff=196&oldid=prev 2008-06-27T03:32:57Z

<p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">←Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 03:32, 27 June 2008</td> </tr> <tr><td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>The question remains open whether all faces of the cone of Euclidean distance matrices &lt;math&gt;\,\mathbb{EDM}^N\!&lt;/math&gt;</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>The question remains open whether all faces of the cone of Euclidean distance matrices &lt;math&gt;\,\mathbb{EDM}^N\!&lt;/math&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>'''('''whose dimension is less than <del style="color: red; font-weight: bold; text-decoration: none;">the </del>dimension of the cone''')'''</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>'''('''whose dimension is less than dimension of the cone''')'''</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>are exposed like they are for the positive semidefinite cone.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>are exposed like they are for the positive semidefinite cone.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>For a better explanation, see section 6.5.3 in [http://meboo.convexoptimization.com/BOOK/ConeDistanceMatrices.pdf]</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>For a better explanation, see section 6.5.3 in [http://meboo.convexoptimization.com/BOOK/ConeDistanceMatrices.pdf <ins style="color: red; font-weight: bold; text-decoration: none;">Cone of Distance Matrices</ins>]</div></td></tr> </table>

Dattorro http://www.convexoptimization.com/wikimization/index.php?title=Euclidean_distance_cone_faces&diff=195&oldid=prev 2008-06-27T03:26:50Z

<p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">←Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 03:26, 27 June 2008</td> </tr> <tr><td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>The question remains open whether all faces of the cone of Euclidean distance matrices &lt;math&gt;\,\mathbb{EDM}^N\!&lt;/math&gt;</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>The question remains open whether all faces of the cone of Euclidean distance matrices &lt;math&gt;\,\mathbb{EDM}^N\!&lt;/math&gt;</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>'''('''whose dimension is less than the dimension of the cone''')'''</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>'''('''whose dimension is less than the dimension of the cone''')'''</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>are exposed like they are for the positive semidefinite cone.</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>are exposed like they are for the positive semidefinite cone.</div></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"></td></tr> <tr><td colspan="2">&nbsp;</td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>For a better explanation, see section 6.5.3 in [http://meboo.convexoptimization.com/BOOK/ConeDistanceMatrices.pdf]</div></td></tr> </table>

Dattorro http://www.convexoptimization.com/wikimization/index.php?title=Euclidean_distance_cone_faces&diff=192&oldid=prev 2008-06-27T03:21:37Z

<p><a href="/wikimization/index.php?title=Euclidean_distance_cone&amp;action=edit" class="new" title="Euclidean distance cone">Euclidean distance cone</a> moved to <a href="/wikimization/index.php/Euclidean_distance_cone_faces" title="Euclidean distance cone faces">Euclidean distance cone faces</a>: This is an open question.</p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">←Older revision</td> <td colspan='2' style="background-color: white; color:black;">Revision as of 03:21, 27 June 2008</td> </tr> </table>

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