https://en.formulasearchengine.com/w/index.php?action=history&feed=atom&title=Spectral_slope 2026-09-04T11:06:25Z Revision history for this page on the wiki MediaWiki 1.47.0-wmf.7 https://en.formulasearchengine.com/w/index.php?title=Spectral_slope&diff=14806&oldid=prev 2013-07-15T19:15:55Z

<p>Corrects ISBN</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 21:15, 15 July 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;">52 year old Tennis Coach Walton from Beausejour</del>, <del style="font-weight: bold; text-decoration: none;">has interests which include kit cars</del>, <del style="font-weight: bold; text-decoration: none;">ganhando dinheiro na internet </del>and <del style="font-weight: bold; text-decoration: none;">reflexology</del>. <del style="font-weight: bold; text-decoration: none;">Gains encouragement by setting up a journey </del>to <del style="font-weight: bold; text-decoration: none;">Historic Town of Zabid</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;">My website </del>... [<del style="font-weight: bold; text-decoration: none;">http</del>:<del style="font-weight: bold; text-decoration: none;">//ganhedinheironainternet.comoganhardinheiro101.com/ como ganhar dinheiro</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]]</ins>, <ins style="font-weight: bold; text-decoration: none;">and specifically in [[measure theory]], '''equivalence''' is a notion of two [[Measure (mathematics)|measures]] being "the same". </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;">==Definition==</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;">Let (''X'',&amp;nbsp;Σ) be a [[measurable space]]</ins>, and <ins style="font-weight: bold; text-decoration: none;">let ''μ'', ''ν'' : Σ → '''R''' be two [[signed measure]]s</ins>. <ins style="font-weight: bold; text-decoration: none;">Then ''μ'' is said to be '''equivalent''' to ''ν'' [[if and only if]] each is [[Absolutely continuous measure|absolutely continuous]] with respect </ins>to <ins style="font-weight: bold; text-decoration: none;">the other</ins>. <ins style="font-weight: bold; text-decoration: none;">In symbols:</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>&lt;<ins style="font-weight: bold; text-decoration: none;">math</ins>&gt;<ins style="font-weight: bold; text-decoration: none;">\mu \sim \nu \iff \mu \ll \nu \ll \mu.</ins>&lt;<ins style="font-weight: bold; text-decoration: none;">/math</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;">Equivalence of measures is an [[equivalence relation]] on the set of all measures Σ → '''R'''</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;">==Examples==</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;">{{Unreferenced section|date=February 2010}}</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;">* [[Gaussian measure]] and [[Lebesgue measure]] on the [[real line]] are equivalent to one another.</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;">* [[Lebesgue measure]] and [[Dirac measure]] on the real line are inequivalent</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><ins style="font-weight: bold; text-decoration: none;">*{{cite book |title=Measure Theory|first=Paul R</ins>.<ins style="font-weight: bold; text-decoration: none;">|last=Halmos |publisher=Springer|year=1974|isbn=0-387-90088-8|page=126}}</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>[<ins style="font-weight: bold; text-decoration: none;">Category</ins>:<ins style="font-weight: bold; text-decoration: none;">Measure theory]</ins>]</div></td></tr> </table>

66.177.64.39 https://en.formulasearchengine.com/w/index.php?title=Spectral_slope&diff=250222&oldid=prev 2012-05-06T00:07:05Z

<p>ISBNs (Build KC)</p> <p><b>New page</b></p><div>52 year old Tennis Coach Walton from Beausejour, has interests which include kit cars, ganhando dinheiro na internet and reflexology. Gains encouragement by setting up a journey to Historic Town of Zabid.&lt;br&gt;&lt;br&gt;My website ... [http://ganhedinheironainternet.comoganhardinheiro101.com/ como ganhar dinheiro]</div>

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