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	<id>https://en.formulasearchengine.com/w/index.php?action=history&amp;feed=atom&amp;title=Hook_length_formula</id>
	<title>Hook length formula - Revision history</title>
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	<updated>2026-08-25T18:38:02Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.47.0-wmf.7</generator>
	<entry>
		<id>https://en.formulasearchengine.com/w/index.php?title=Hook_length_formula&amp;diff=320795&amp;oldid=prev</id>
		<title>en&gt;Joel B. Lewis: Restored &quot;todo&quot; as possibly valuable to an editor, but commented out section.</title>
		<link rel="alternate" type="text/html" href="https://en.formulasearchengine.com/w/index.php?title=Hook_length_formula&amp;diff=320795&amp;oldid=prev"/>
		<updated>2014-06-18T14:08:26Z</updated>

		<summary type="html">&lt;p&gt;Restored &amp;quot;todo&amp;quot; as possibly valuable to an editor, but commented out section.&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw-interface=&quot;&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 16:08, 18 June 2014&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Art Teacher &lt;/del&gt;(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Private Tuition &lt;/del&gt;) &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Vernon from La Malbaie&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;usually spends time with pastimes such &lt;/del&gt;as &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;models&lt;/del&gt;, property &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;developers in &lt;/del&gt;[http://voice4abetterindia.com/activity/p/50124/ singapore apartment for sale] and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;stamp collecting&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Finds &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;beauty in traveling &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;spots around &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;entire world&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;recently only coming back from  Generalife &lt;/del&gt;and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Albayzín&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;If you&#039;re searching for inexpensive propertycondominiumhouse for sale in Singapore, You&#039;ll, can not help to really feel that you just might be missing out on the perfect deals, somewhere, somehow. The Singapore property market may be very volatile and fast-paced; particularly with regards to the extraordinarily good cut price ones.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;As a Senior Associate Supervisor at Huttons Real Estate Group, I specialize in the Singapore Prime District Properties both in Sale and Rental. Welcome to www.marcustay.com, the definitive online information to Singapore prime high-finish Luxe Condos and landed properties on the market and lease in Marina Bay , Orchard Road, Sentosa Cove together with districts 9,10,eleven and 15. Do be happy to browse through our website for property listings, studies and important Singapore real estate information. Semi-Indifferent &lt;/ins&gt;(&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;For Sale&lt;/ins&gt;), &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;16 Barker Road, Singapore , Singapore foreign money rose to a report against the pound,making London dwelling purchases cheaper for Singapore London propertyinvestors. Learn how to flip a Singapore property for a quick profit Outlook for en bloc sales in Singapore Industrial&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Most house owners will wish to take a look at how they&#039;ll work within the confines of any budget that they might have. The builders of this complex have really customized quite a couple of several types of projects that they&#039;ll find right here as properly. This could show to be a useful asset obtainable to people within these communities. Buyers will probably need to discover a approach that they can view this &lt;/ins&gt;as &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a chance&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;since these properties will ultimately accrue for buyers right here.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;We run residences and houses on the market and for lease supplied by prestigeous property site iproperty.com Singapore All agents pay a charge for listing properties and have to adjust to tough laws for real &lt;/ins&gt;property &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;brokers solely lately launched by the Singapore authorities. We have now a worldwide client base, and anybody eager to sell, rent, make investments, buy any &lt;/ins&gt;[http://voice4abetterindia.com/activity/p/50124/ singapore apartment for sale] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;properties prefers to visit our website especially in Asia. For Singapore real estate, hotvictory is the place to go to as it helps in finding your superb Singapore property. everlasting residents of Singapore; Jun 19 Bliss @ Kovan Singapore (2 Simon Lane Singapore) pic real property - by dealer Private Apartment and Rental for Sale by District Trying to Lease or Purchase a Singapore Condominium? Seek for Property&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Mr Cheang thinks that there are agents who would bounce on the opportunity to market such flats after they study about the murders from newspaper reports. However generally the sellers try to disguise the truth from the brokers too.&#039; A bit of Geylang River flows by the sale web site. This gives an excellent opportunity for the profitable tenderer to combine the water body into future development &lt;/ins&gt;and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;produce life to the riverbanks&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The developer is encouraged to transform &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;river into a clear, dynamic and aesthetically pleasing waterway This time spherical, the URA&#039;s announcement has reignited a debate among trade gamers on whether or not the Authorities ought to go away pricing &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;market forces or reveal the reserve prices of web sites.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;When you experience &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;historical past and allure of Serangoon Gardens&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;you&#039;ll perceive why folks have developed such a close bond with this estate. You&#039;ll find almost every part you want on this little nook of Singapore – with a dash of persona thrown in. Non-public properties for purchasing, selling and leasing with information and data on their web site about property listings and property information updates. Residential rental for expats, shopping for and promoting of landed property, non-public condominium/CDO and HDB Flats. Are leasehold or freehold properties better investments? 2) Finding your best funding property One of the best ways to find a pretty property to buy Try our function properties for an inventory of landed home for hire with footage &lt;/ins&gt;and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;price&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Crowhurst For Sale&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>en&gt;Joel B. Lewis</name></author>
	</entry>
	<entry>
		<id>https://en.formulasearchengine.com/w/index.php?title=Hook_length_formula&amp;diff=320794&amp;oldid=prev</id>
		<title>en&gt;Vieque: Disambiguate Schur function to Schur polynomial using popups</title>
		<link rel="alternate" type="text/html" href="https://en.formulasearchengine.com/w/index.php?title=Hook_length_formula&amp;diff=320794&amp;oldid=prev"/>
		<updated>2014-02-22T19:44:50Z</updated>

		<summary type="html">&lt;p&gt;Disambiguate &lt;a href=&quot;/w/index.php?title=Schur_function&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Schur function (page does not exist)&quot;&gt;Schur function&lt;/a&gt; to &lt;a href=&quot;/wiki/Schur_polynomial&quot; title=&quot;Schur polynomial&quot;&gt;Schur polynomial&lt;/a&gt; using &lt;a href=&quot;/w/index.php?title=En:Wikipedia:Tools/Navigation_popups&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;En:Wikipedia:Tools/Navigation popups (page does not exist)&quot;&gt;popups&lt;/a&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 21:44, 22 February 2014&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In [[probability theory]], a &#039;&#039;&#039;Poisson point process&#039;&#039;&#039; is a particular kind of [[stochastic process|random process]] by which a set of isolated points are scattered about a line or a plane or a three-dimensional space or any of various other sorts of spaces.  The concept is named &lt;/del&gt;(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;perhaps erroneously&lt;/del&gt;) &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;after the French mathematician [[Siméon Denis Poisson]].  Often the term [[Poisson process]] is used to mean a Poisson point process in which the space in which isolated points are randomly scattered is a line&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;which &lt;/del&gt;in &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;many applications represents time.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Art Teacher &lt;/ins&gt;(&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Private Tuition &lt;/ins&gt;) &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Vernon from La Malbaie, usually spends time with pastimes such as models&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;property developers &lt;/ins&gt;in [&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;http&lt;/ins&gt;:&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;//voice4abetterindia.com/activity/p/50124/ singapore apartment for sale&lt;/ins&gt;] and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;stamp collecting. Finds &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;beauty in traveling &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;spots around &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;entire world&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;recently only coming back from &lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Generalife and Albayzín&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The Poisson point process is [&lt;/del&gt;[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;characterization (mathematics)|characterized]] by the following properties&lt;/del&gt;:&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* The numbers of isolated points falling within two regions &#039;&#039;A&#039;&#039; and &#039;&#039;B&#039;&#039; are [[independence (probability theory)|independent]] [[random variable&lt;/del&gt;]&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]s if &#039;&#039;A&#039;&#039; &lt;/del&gt;and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;B&#039;&#039; do not intersect each other;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* The [[expected value|expected]] number of isolated points falling within a region &#039;&#039;A&#039;&#039; is &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;measure of the region &#039;&#039;A&#039;&#039;. This &quot;measure&quot; is often proportional &lt;/del&gt;to the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;area or volume of &#039;&#039;A&#039;&#039;&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;but sometimes more elaborate measures are used. &lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;But the measure must be defined in such a way that the measure of the union of regions that do not intersect each other is simply the sum of their measures&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;A consequence of these characterizing properties is that the probability distribution of the number &#039;&#039;X&#039;&#039; of isolated points falling within any region &#039;&#039;A&#039;&#039; is a [[Poisson distribution]], which means that&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;: &amp;lt;math&amp;gt; \Pr(X=x) = \frac{(\mu(A))^x e^{-\mu(A)}}{x!} &amp;lt;/math&amp;gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;where &#039;&#039;&amp;amp;mu;&#039;&#039;(&#039;&#039;A&#039;&#039;) is the measure of the region&amp;amp;nbsp;&#039;&#039;A&#039;&#039;.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==Further reading==&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*{{cite doi|10.1007/978-1-4419-6923-1}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{math-stub}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Stochastic processes}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category:Stochastic processes]]&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category:Poisson processes]]&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category:Point processes]]&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category:Spatial processes]]&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>en&gt;Vieque</name></author>
	</entry>
	<entry>
		<id>https://en.formulasearchengine.com/w/index.php?title=Hook_length_formula&amp;diff=30310&amp;oldid=prev</id>
		<title>en&gt;Rjwilmsi: Typo fixing, typo(s) fixed: continous → continuous, continuos → continuous, catalan → Catalan (2) using AWB (9888)</title>
		<link rel="alternate" type="text/html" href="https://en.formulasearchengine.com/w/index.php?title=Hook_length_formula&amp;diff=30310&amp;oldid=prev"/>
		<updated>2014-01-26T10:47:51Z</updated>

		<summary type="html">&lt;p&gt;&lt;a href=&quot;/w/index.php?title=WP:AWB/T&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;WP:AWB/T (page does not exist)&quot;&gt;Typo fixing&lt;/a&gt;, &lt;a href=&quot;/w/index.php?title=WP:AWB/T&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;WP:AWB/T (page does not exist)&quot;&gt;typo(s) fixed&lt;/a&gt;: continous → continuous, continuos → continuous, catalan → Catalan (2) using &lt;a href=&quot;/w/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; (9888)&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;In [[probability theory]], a &amp;#039;&amp;#039;&amp;#039;Poisson point process&amp;#039;&amp;#039;&amp;#039; is a particular kind of [[stochastic process|random process]] by which a set of isolated points are scattered about a line or a plane or a three-dimensional space or any of various other sorts of spaces.  The concept is named (perhaps erroneously) after the French mathematician [[Siméon Denis Poisson]].  Often the term [[Poisson process]] is used to mean a Poisson point process in which the space in which isolated points are randomly scattered is a line, which in many applications represents time.&lt;br /&gt;
&lt;br /&gt;
The Poisson point process is [[characterization (mathematics)|characterized]] by the following properties:&lt;br /&gt;
* The numbers of isolated points falling within two regions &amp;#039;&amp;#039;A&amp;#039;&amp;#039; and &amp;#039;&amp;#039;B&amp;#039;&amp;#039; are [[independence (probability theory)|independent]] [[random variable]]s if &amp;#039;&amp;#039;A&amp;#039;&amp;#039; and &amp;#039;&amp;#039;B&amp;#039;&amp;#039; do not intersect each other;&lt;br /&gt;
* The [[expected value|expected]] number of isolated points falling within a region &amp;#039;&amp;#039;A&amp;#039;&amp;#039; is the measure of the region &amp;#039;&amp;#039;A&amp;#039;&amp;#039;. This &amp;quot;measure&amp;quot; is often proportional to the area or volume of &amp;#039;&amp;#039;A&amp;#039;&amp;#039;, but sometimes more elaborate measures are used.  But the measure must be defined in such a way that the measure of the union of regions that do not intersect each other is simply the sum of their measures.&lt;br /&gt;
&lt;br /&gt;
A consequence of these characterizing properties is that the probability distribution of the number &amp;#039;&amp;#039;X&amp;#039;&amp;#039; of isolated points falling within any region &amp;#039;&amp;#039;A&amp;#039;&amp;#039; is a [[Poisson distribution]], which means that&lt;br /&gt;
&lt;br /&gt;
: &amp;lt;math&amp;gt; \Pr(X=x) = \frac{(\mu(A))^x e^{-\mu(A)}}{x!} &amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;#039;&amp;#039;&amp;amp;mu;&amp;#039;&amp;#039;(&amp;#039;&amp;#039;A&amp;#039;&amp;#039;) is the measure of the region&amp;amp;nbsp;&amp;#039;&amp;#039;A&amp;#039;&amp;#039;.&lt;br /&gt;
&lt;br /&gt;
==Further reading==&lt;br /&gt;
&lt;br /&gt;
*{{cite doi|10.1007/978-1-4419-6923-1}}&lt;br /&gt;
&lt;br /&gt;
{{math-stub}}&lt;br /&gt;
&lt;br /&gt;
{{Stochastic processes}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Stochastic processes]]&lt;br /&gt;
[[Category:Poisson processes]]&lt;br /&gt;
[[Category:Point processes]]&lt;br /&gt;
[[Category:Spatial processes]]&lt;/div&gt;</summary>
		<author><name>en&gt;Rjwilmsi</name></author>
	</entry>
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