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	<title>Left quotient - Revision history</title>
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	<updated>2026-04-19T01:02:39Z</updated>
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		<id>https://en.formulasearchengine.com/index.php?title=Left_quotient&amp;diff=237360&amp;oldid=prev</id>
		<title>137.165.167.183: The explanation in simpler terms had the terms L_1 and L_2 reversed. Fixed.</title>
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		<updated>2014-12-14T13:18:47Z</updated>

		<summary type="html">&lt;p&gt;The explanation in simpler terms had the terms L_1 and L_2 reversed. Fixed.&lt;/p&gt;
&lt;a href=&quot;https://en.formulasearchengine.com/index.php?title=Left_quotient&amp;amp;diff=237360&amp;amp;oldid=8053&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>137.165.167.183</name></author>
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	<entry>
		<id>https://en.formulasearchengine.com/index.php?title=Left_quotient&amp;diff=8053&amp;oldid=prev</id>
		<title>en&gt;Sadads: removing orphan tags, removed orphan tag using AWB</title>
		<link rel="alternate" type="text/html" href="https://en.formulasearchengine.com/index.php?title=Left_quotient&amp;diff=8053&amp;oldid=prev"/>
		<updated>2010-11-30T23:22:27Z</updated>

		<summary type="html">&lt;p&gt;removing orphan tags, removed orphan tag using &lt;a href=&quot;/index.php?title=Testwiki:AWB&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Testwiki:AWB (page does not exist)&quot;&gt;AWB&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;A &amp;#039;&amp;#039;&amp;#039;cosmological decade ( CÐ )&amp;#039;&amp;#039;&amp;#039; is a division of the [[Chronology of the universe|lifetime of the cosmos]]. The divisions are [[logarithmic scale|logarithmic in size]], with base 10.  Each successive cosmological decade represents a ten-fold increase in the total [[age of the universe]].&amp;lt;ref&amp;gt;{{cite book&lt;br /&gt;
  | last = Adams  | first = Fred  | authorlink = &lt;br /&gt;
  | coauthors = Greg Laughlin&lt;br /&gt;
  | title = The Five Ages of the Universe&lt;br /&gt;
  | publisher = Free Press  | date = 2000  | location = &lt;br /&gt;
  | pages =   | url =   | doi =   | id =   | isbn = 0-684-86576-9 }}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==As expressed in log (seconds per Ðecade)==&lt;br /&gt;
When CÐ is measured in log(&amp;amp;nbsp;seconds/Ð&amp;amp;nbsp;), &amp;#039;&amp;#039;CÐ&amp;#039;&amp;#039;&amp;amp;nbsp;1 begins at 10 [[second]]s and lasts 90 seconds (until 100 seconds after Time Zero).  &amp;#039;&amp;#039;CÐ&amp;#039;&amp;#039;&amp;amp;nbsp;100, the 100th cosmological decade, lasts from 10&amp;lt;sup&amp;gt;100&amp;lt;/sup&amp;gt; to 10&amp;lt;sup&amp;gt;101&amp;lt;/sup&amp;gt; seconds after Time Zero.  CÐ&amp;amp;nbsp;&amp;lt;math&amp;gt;-\infty&amp;lt;/math&amp;gt; is Time Zero.&lt;br /&gt;
&lt;br /&gt;
The [[epoch (astronomy)|epoch]] &amp;#039;&amp;#039;CÐ&amp;#039;&amp;#039;&amp;amp;nbsp;&amp;amp;minus;43.2683 was 10&amp;lt;sup&amp;gt;(&amp;amp;minus;43.2683)&amp;lt;/sup&amp;gt; seconds, which represents the [[Planck time]] since the [[big bang]] (Time Zero).  There were an infinite number of cosmological decades between the Big Bang and the Planck epoch (or any other point in time).  The current epoch, &amp;#039;&amp;#039;CÐ&amp;#039;&amp;#039;&amp;amp;nbsp;17.6389, is 10&amp;lt;sup&amp;gt;(17.6389)&amp;lt;/sup&amp;gt; seconds, or 13.798(37) billion years, since the Big Bang.&amp;lt;ref name=&amp;#039;planck_cosmological_parameters&amp;#039;&amp;gt;{{cite journal | arxiv=1303.5076 | title=Planck 2013 results. XVI. Cosmological parameters | author=Planck collaboration | journal=Submitted to Astronomy &amp;amp; Astrophysics | year=2013|bibcode = 2013arXiv1303.5076P }}&amp;lt;/ref&amp;gt;  There have been 60.9 cosmological decades between the Planck epoch, CÐ&amp;amp;nbsp;&amp;amp;minus;43.2683, and the current epoch, CÐ&amp;amp;nbsp;17.6389.&lt;br /&gt;
&lt;br /&gt;
==As expressed in log (years per Ðecade)==&lt;br /&gt;
The cosmological decade can be expressed in log years per decade. In this definition, the 100th cosmological decade lasts from 10&amp;lt;sup&amp;gt;100&amp;lt;/sup&amp;gt; years to 10&amp;lt;sup&amp;gt;101&amp;lt;/sup&amp;gt; years after Time Zero.  To convert to this format, simply divide by seconds per year; or in logarithmic terms, subtract 7.4991116 from the values listed above. Thus when CÐ is expressed in log( years/Ð ), the Planck time could also be expressed as 10&amp;lt;sup&amp;gt;(&amp;amp;minus;43.2683&amp;amp;nbsp;&amp;amp;minus;&amp;amp;nbsp;7.4991116)&amp;lt;/sup&amp;gt;&amp;amp;nbsp;years = 10&amp;lt;sup&amp;gt;(&amp;amp;minus;50.7674)&amp;lt;/sup&amp;gt;&amp;amp;nbsp;years.&lt;br /&gt;
&lt;br /&gt;
In this definition, the current epoch is CÐ (17.6355&amp;amp;nbsp;&amp;amp;minus;&amp;amp;nbsp;7.4991116), or CÐ&amp;amp;nbsp;10.1364. As before, there have been 60.9 cosmological decades between the Planck epoch and the current epoch. &lt;br /&gt;
&lt;br /&gt;
In their view, the history of the universe can be segmented into five eras:&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
! Age !! Ðecades !! Process&lt;br /&gt;
|-&lt;br /&gt;
|Primordial || &amp;amp;minus;50 to +5 || [[Timeline of the Big Bang|from the Planck time until universe becomes transparent to radiation]]&lt;br /&gt;
|-&lt;br /&gt;
|[[Timeline_of_cosmological_eras#Structure_formation|Stelliferous]] || 6 to 14 || stars shine brightly (our current epoch is +10.1364)&lt;br /&gt;
|-&lt;br /&gt;
|Degenerate || 15 to 37 || stars degenerate, get dimmer&lt;br /&gt;
|-&lt;br /&gt;
|Black Hole || 38 to 99 || stars evaporate, galactic black holes evaporate&lt;br /&gt;
|-&lt;br /&gt;
|Dark Era || 100 onward || [[Timeline of cosmological eras|lone protons and other particles get even farther and farther apart from each other]]&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{{Time measurement and standards}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Physical cosmology]]&lt;br /&gt;
[[Category:Units of time]]&lt;br /&gt;
&lt;br /&gt;
{{astronomy-stub}}&lt;br /&gt;
{{measurement-stub}}&lt;/div&gt;</summary>
		<author><name>en&gt;Sadads</name></author>
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