https://en.formulasearchengine.com/index.php?action=history&feed=atom&title=Grassmann_number
Grassmann number - Revision history
2026-04-21T21:06:21Z
Revision history for this page on the wiki
MediaWiki 1.43.0-wmf.28
https://en.formulasearchengine.com/index.php?title=Grassmann_number&diff=244537&oldid=prev
en>Myasuda: sp
2014-12-06T16:27:42Z
<p>sp</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 18:27, 6 December 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;">In [[computational learning theory]]</del>, ''<del style="font-weight: bold; text-decoration: none;">'sample exclusion dimensions''' arise in the study of exact [[concept learning]] with queries</del>.<<del style="font-weight: bold; text-decoration: none;">ref</del>><del style="font-weight: bold; text-decoration: none;">{{cite book|title=Algorithmic Learning Theory: 12th International Conference, ALT 2001, Washington, DC, USA, November 2001, Proceedings|editor=N. Abe, R. Khardon, T. Zeugmann|author=D. Angluin|chapter=Queries Revisited|year=2001|publisher=Springer|url=</del>http://<del style="font-weight: bold; text-decoration: none;">books.google</del>.com/<del style="font-weight: bold; text-decoration: none;">books?hl=en&lr=&id=V77xyPlA41UC&oi=fnd&pg=PA12&dq=%22Sample+exclusion+dimension%22+</del>-<del style="font-weight: bold; text-decoration: none;">Wikipedia&ots=czZEqBZJgT&sig=In</del>-<del style="font-weight: bold; text-decoration: none;">6bsswOuRMJFSBld3fNSSLacU#PPA26,M1| pages=26–28|isbn=3</del>-<del style="font-weight: bold; text-decoration: none;">540</del>-<del style="font-weight: bold; text-decoration: none;">42875</del>-<del style="font-weight: bold; text-decoration: none;">5}}<</del>/<del style="font-weight: bold; text-decoration: none;">ref> </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;">Hi there</ins>, <ins style="font-weight: bold; text-decoration: none;">I am Sophia. I</ins>'<ins style="font-weight: bold; text-decoration: none;">ve always loved residing in Kentucky but now I</ins>'<ins style="font-weight: bold; text-decoration: none;">m considering other choices. The favorite hobby for him and his children is to perform lacross and he would by no means give it up. Invoicing is what I do</ins>.<<ins style="font-weight: bold; text-decoration: none;">br><br</ins>><ins style="font-weight: bold; text-decoration: none;">My weblog - psychics online ([</ins>http://<ins style="font-weight: bold; text-decoration: none;">myfusionprofits</ins>.com/<ins style="font-weight: bold; text-decoration: none;">groups/find-out</ins>-<ins style="font-weight: bold; text-decoration: none;">about</ins>-<ins style="font-weight: bold; text-decoration: none;">self</ins>-<ins style="font-weight: bold; text-decoration: none;">improvement</ins>-<ins style="font-weight: bold; text-decoration: none;">tips</ins>-<ins style="font-weight: bold; text-decoration: none;">here/ http:</ins>//<ins style="font-weight: bold; text-decoration: none;">myfusionprofits</ins>.<ins style="font-weight: bold; text-decoration: none;">com</ins>/]<ins style="font-weight: bold; text-decoration: none;">)</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 [[algorithmic learning theory]], a '''concept''' over a domain ''X'' is a [[Boolean function]] over ''X''. Here we only consider finite domains. A '''partial approximation''' ''S'' of a concept ''c'' is a Boolean function over <math>Y\subseteq X<</del>/<del style="font-weight: bold; text-decoration: none;">math> such that ''c'' is an extension to ''S''</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;">Let ''C'' be a class of concepts and ''c'' be a concept (not necessarily in ''C''). Then a '''specifying set''' for c w.r.t. ''C'', denoted by ''S'' is a partial approximation ''S'' of ''c'' such that ''C'' contains at most one extension to ''S''. If we have observed a specifying set for some concept w.r.t. ''C'', then we have enough information to verify a concept in ''C'' with at most one more mind change.</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;"> </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;">The '''exclusion dimension''', denoted by ''XD''(''C''), of a concept class is the maximum of the size of the minimum specifying set of ''c''<nowiki>'<</del>/<del style="font-weight: bold; text-decoration: none;">nowiki> with respect to ''C'', where ''c''<nowiki>'</nowiki> is a concept not in ''C''.</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;">{{reflist}}</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:Computational learning theory</del>]<del style="font-weight: bold; text-decoration: none;">]</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;">{{math-stub}}</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
</table>
en>Myasuda
https://en.formulasearchengine.com/index.php?title=Grassmann_number&diff=11679&oldid=prev
en>Addbot: Bot: Migrating 8 interwiki links, now provided by Wikidata on d:q60301 (Report Errors)
2013-02-26T02:42:12Z
<p><a href="/index.php?title=User:Addbot&action=edit&redlink=1" class="new" title="User:Addbot (page does not exist)">Bot:</a> Migrating 8 interwiki links, now provided by <a href="https://en.wikipedia.org/wiki/Wikidata" class="extiw" title="wikipedia:Wikidata">Wikidata</a> on <a href="/index.php?title=D:q60301&action=edit&redlink=1" class="new" title="D:q60301 (page does not exist)">d:q60301</a> (<a href="/index.php?title=User_talk:Addbot&action=edit&redlink=1" class="new" title="User talk:Addbot (page does not exist)">Report 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 04:42, 26 February 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;">I would like to introduce myself to you</del>, <del style="font-weight: bold; text-decoration: none;">I am Andrew and my wife doesn</del>'<del style="font-weight: bold; text-decoration: none;">t like it at all</del>. <del style="font-weight: bold; text-decoration: none;">Invoicing </del>is <del style="font-weight: bold; text-decoration: none;">what I do</del>. <del style="font-weight: bold; text-decoration: none;">What me </del>and <del style="font-weight: bold; text-decoration: none;">my family members adore </del>is <del style="font-weight: bold; text-decoration: none;">bungee jumping but I</del>'<del style="font-weight: bold; text-decoration: none;">ve been taking on new things recently</del>. <del style="font-weight: bold; text-decoration: none;">My spouse and I live </del>in <del style="font-weight: bold; text-decoration: none;">Mississippi and I adore each working day residing here</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;">Take a look at my homepage: email psychic readings</del>, <del style="font-weight: bold; text-decoration: none;">[http:</del>/<del style="font-weight: bold; text-decoration: none;">/cpacs</del>.<del style="font-weight: bold; text-decoration: none;">org/index.php?document_srl</del>=<del style="font-weight: bold; text-decoration: none;">90091&mid</del>=<del style="font-weight: bold; text-decoration: none;">board_zTGg26 visit the next website</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 [[computational learning theory]], '''sample exclusion dimensions''' arise in the study of exact [[concept learning]] with queries.<ref>{{cite book|title=Algorithmic Learning Theory: 12th International Conference, ALT 2001, Washington, DC, USA, November 2001, Proceedings|editor=N. Abe, R. Khardon, T. Zeugmann|author=D. Angluin|chapter=Queries Revisited|year=2001|publisher=Springer|url=http://books.google.com/books?hl=en&lr=&id=V77xyPlA41UC&oi=fnd&pg=PA12&dq=%22Sample+exclusion+dimension%22+-Wikipedia&ots=czZEqBZJgT&sig=In-6bsswOuRMJFSBld3fNSSLacU#PPA26,M1| pages=26–28|isbn=3-540-42875-5}}</ref> </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 [[algorithmic learning theory]]</ins>, <ins style="font-weight: bold; text-decoration: none;">a '''concept''' over a domain ''X'' is a [[Boolean function]] over ''X'</ins>'. <ins style="font-weight: bold; text-decoration: none;">Here we only consider finite domains. A '''partial approximation''' ''S'' of a concept ''c'' is a Boolean function over <math>Y\subseteq X</math> such that ''c'' </ins>is <ins style="font-weight: bold; text-decoration: none;">an extension to ''S''</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 ''C'' be a class of concepts </ins>and <ins style="font-weight: bold; text-decoration: none;">''c'' be a concept (not necessarily in ''C''). Then a '''specifying set''' for c w.r.t. ''C'', denoted by ''S'' </ins>is <ins style="font-weight: bold; text-decoration: none;">a partial approximation ''S'</ins>' <ins style="font-weight: bold; text-decoration: none;">of ''c'' such that ''C'' contains at most one extension to ''S''. If we have observed a specifying set for some concept w.r</ins>.<ins style="font-weight: bold; text-decoration: none;">t. ''C'', then we have enough information to verify a concept </ins>in <ins style="font-weight: bold; text-decoration: none;">''C'' with at most one more mind change</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;">The '''exclusion dimension''', denoted by ''XD''(''C''), of a concept class is the maximum of the size of the minimum specifying set of ''c''</ins><<ins style="font-weight: bold; text-decoration: none;">nowiki</ins>><ins style="font-weight: bold; text-decoration: none;">'</ins><<ins style="font-weight: bold; text-decoration: none;">/nowiki</ins>> <ins style="font-weight: bold; text-decoration: none;">with respect to ''C''</ins>, <ins style="font-weight: bold; text-decoration: none;">where ''c''<nowiki>'<</ins>/<ins style="font-weight: bold; text-decoration: none;">nowiki> is a concept not in ''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><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;">[[Category:Computational learning theory]</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;">{{math-stub}}</ins></div></td></tr>
</table>
en>Addbot
https://en.formulasearchengine.com/index.php?title=Grassmann_number&diff=244536&oldid=prev
24.184.140.151: /* See also */
2012-02-27T19:48:42Z
<p><span class="autocomment">See also</span></p>
<p><b>New page</b></p><div>I would like to introduce myself to you, I am Andrew and my wife doesn't like it at all. Invoicing is what I do. What me and my family members adore is bungee jumping but I've been taking on new things recently. My spouse and I live in Mississippi and I adore each working day residing here.<br><br>Take a look at my homepage: email psychic readings, [http://cpacs.org/index.php?document_srl=90091&mid=board_zTGg26 visit the next website],</div>
24.184.140.151