https://en.formulasearchengine.com/index.php?action=history&feed=atom&title=Channel_state_information 2026-05-24T04:14:18Z Revision history for this page on the wiki MediaWiki 1.43.0-wmf.28 https://en.formulasearchengine.com/index.php?title=Channel_state_information&diff=247571&oldid=prev 2014-03-07T07:24:47Z

<p>Undid revision 598514912 by <a href="/wiki/Special:Contributions/210.212.252.71" title="Special:Contributions/210.212.252.71">210.212.252.71</a> Please note that multi-user MIMO is the correct terminology.</p> <a href="https://en.formulasearchengine.com/index.php?title=Channel_state_information&amp;diff=247571&amp;oldid=13297">Show changes</a>

en>Emilbjornson https://en.formulasearchengine.com/index.php?title=Channel_state_information&diff=13297&oldid=prev 2013-09-25T16:00:27Z

<p>rm per <a href="/index.php?title=WP:ELNO&amp;action=edit&amp;redlink=1" class="new" title="WP:ELNO (page does not exist)">WP:ELNO</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 18:00, 25 September 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 </del>name of the <del style="font-weight: bold; text-decoration: none;">author </del>is <del style="font-weight: bold; text-decoration: none;">Numbers</del>. <del style="font-weight: bold; text-decoration: none;">One </del>of the <del style="font-weight: bold; text-decoration: none;">issues he loves most </del>is <del style="font-weight: bold; text-decoration: none;">ice skating but he is struggling to find time for it</del>. <del style="font-weight: bold; text-decoration: none;">I used to be unemployed but now I am </del>a <del style="font-weight: bold; text-decoration: none;">librarian </del>and the <del style="font-weight: bold; text-decoration: none;">salary has been really satisfying. My family members lives in Minnesota and my family members loves it</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;">Have </del>a <del style="font-weight: bold; text-decoration: none;">look at my webpage - </del>[http://<del style="font-weight: bold; text-decoration: none;">www</del>.<del style="font-weight: bold; text-decoration: none;">videokeren</del>.com/<del style="font-weight: bold; text-decoration: none;">blog</del>/<del style="font-weight: bold; text-decoration: none;">14593 std testing at home</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;">{{infobox graph</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;"> | </ins>name <ins style="font-weight: bold; text-decoration: none;">= Knight's graph</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;"> | image = [[Image:Knight's graph.svg|180px]]</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;"> | image_caption = 8x8 Knight's graph</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;"> | vertices = ''nm''</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;"> | edges = 4''mn''-6(''m''+''n'')+8</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;"> | chromatic_number = </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;"> | chromatic_index = </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;"> | girth = 4 (if ''n''≥3, ''m''≥ 5)</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;"> | properties = </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;">}}</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;">In [[graph theory]], a '''knight's graph''', or a '''knight's tour graph''', is a [[Graph (mathematics)|graph]] that represents all legal moves </ins>of the <ins style="font-weight: bold; text-decoration: none;">[[knight (chess)|knight]] [[chess]] [[chess piece|piece]] on a [[chessboard]] where each vertex represents a square on a chessboard and each edge </ins>is <ins style="font-weight: bold; text-decoration: none;">a legal move</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;">More specifically, an &lt;math&gt;n \times m&lt;/math&gt; knight's tour graph is a knight's tour graph </ins>of <ins style="font-weight: bold; text-decoration: none;">an &lt;math&gt;n \times m&lt;/math&gt; chessboard.&lt;ref name="ac"&gt;{{citation|title=Problem Solving Through Recreational Mathematics|first1=Bonnie|last1=Averbach|first2=Orin|last2=Chein|publisher=Dover|year=1980|isbn=9780486131740|page=195|url=http://books.google.com/books?id=xRJxJ7L9sq8C&amp;pg=PA195}}.&lt;/ref&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;">For a &lt;math&gt;n \times m&lt;/math&gt; knight's tour graph </ins>the <ins style="font-weight: bold; text-decoration: none;">total number of vertices </ins>is <ins style="font-weight: bold; text-decoration: none;">simply &lt;math&gt;nm&lt;/math&gt;</ins>. <ins style="font-weight: bold; text-decoration: none;">For </ins>a <ins style="font-weight: bold; text-decoration: none;">&lt;math&gt;n \times n&lt;/math&gt; knight's tour graph the total number of vertices is simply &lt;math&gt;n^2&lt;/math&gt; </ins>and the <ins style="font-weight: bold; text-decoration: none;">total number of edges is &lt;math&gt;4(n-2)(n-1)&lt;/math&gt;</ins>.&lt;<ins style="font-weight: bold; text-decoration: none;">ref</ins>&gt;<ins style="font-weight: bold; text-decoration: none;">{{SloanesRef|A033996}}</ins>&lt;<ins style="font-weight: bold; text-decoration: none;">/ref</ins>&gt;</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;">A [[Hamiltonian path]] on the knight's tour graph is </ins>a [<ins style="font-weight: bold; text-decoration: none;">[knight's tour]].&lt;ref name="ac"/&gt; [[Schwenk's theorem]] characterizes the sizes of chessboard for which a knight's tour exist.&lt;ref&gt;{{citation|title=Across the Board: The Mathematics of Chessboard Problems. Paradoxes, perplexities, and mathematical conundrums for the serious head scratcher|first=John J.|last=Watkins|publisher=Princeton University Press|year=2012|isbn=9780691154985|page=44|url=</ins>http://<ins style="font-weight: bold; text-decoration: none;">books</ins>.<ins style="font-weight: bold; text-decoration: none;">google</ins>.com/<ins style="font-weight: bold; text-decoration: none;">books?id=EQSPm1MPKJUC&amp;pg=PA44}}.&lt;</ins>/<ins style="font-weight: bold; text-decoration: none;">ref&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;">==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;">{{reflist}}</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><ins style="font-weight: bold; text-decoration: none;">* [[King's graph]]</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;">* [[Rook's graph]]</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:Mathematical chess problems]]</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:Parametric families of graphs]</ins>]</div></td></tr> </table>

en>Nikkimaria https://en.formulasearchengine.com/index.php?title=Channel_state_information&diff=247570&oldid=prev 2012-07-14T06:13:41Z

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en>Srleffler