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	<entry>
		<id>https://en.formulasearchengine.com/w/index.php?title=Discrete_Chebyshev_polynomials&amp;diff=25473</id>
		<title>Discrete Chebyshev polynomials</title>
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		<summary type="html">&lt;p&gt;145.248.195.1: /* Definition */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;Non-minimally coupled inflation&#039;&#039;&#039; is an [[cosmic inflation|inflationary]] model in which the constant which couples [[gravity]] to the [[inflaton field]] is not small. The [[coupling constant]] is usually represented by &amp;lt;math&amp;gt;\xi&amp;lt;/math&amp;gt; ([[Xi (letter)|Xi]]), which features in the [[action (physics)|action]] (constructed by modifying the [[Einstein-Hilbert action]]):&amp;lt;ref name=hertzberg12&amp;gt;Hertzberg (2010-02-16), p. 1&amp;amp;ndash;2&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;&lt;br /&gt;
S = \int d^4x \sqrt{-g} \left[{m_P^2 \over 2} R - {1 \over 2}&lt;br /&gt;
  \partial^{\mu}\phi \partial_{\mu}\phi - V(\phi) - {\xi \over 2} R&lt;br /&gt;
    \phi^2\right]&lt;br /&gt;
&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\xi&amp;lt;/math&amp;gt; represents the strength of the interaction between &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;\phi&amp;lt;/math&amp;gt;, which relate to the curvature of space and the magnitude of the inflaton field respectively.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Bibliography==&lt;br /&gt;
*{{Cite arxiv&lt;br /&gt;
| last = Hertzberg | first = Mark P&lt;br /&gt;
| year =&lt;br /&gt;
| title = On Inflation with Non-minimal Coupling&lt;br /&gt;
| class =&lt;br /&gt;
| arxiv = 1002.2995&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Cosmic inflation]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{physics-stub}}&lt;/div&gt;</summary>
		<author><name>145.248.195.1</name></author>
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