Jump to navigation Jump to search

General

Display information for equation id:math.240443.25 on revision:240443

* Page found: Jeffreys prior (eq math.240443.25)

(force rerendering)

Occurrences on the following pages:

Hash: a9d1e98f6e78b7dacd19679b57209770

TeX (original user input): 

f(n | \lambda) = e^{-\lambda}\frac{\lambda^n}{n!},

TeX (checked): 

f(n|\lambda )=e^{-\lambda }{\frac {\lambda ^{n}}{n!}},

LaTeXML (experimental; uses MathML) rendering

MathML (4.799 KB / 956 B) :

f ⁢ ( n | λ ) = e - λ ⁢ λ n n ! , 𝑓 conditional 𝑛 𝜆 superscript 𝑒 𝜆 superscript 𝜆 𝑛 𝑛 {\displaystyle f(n|\lambda)=e^{{-\lambda}}{\frac{\lambda^{n}}{n!}},} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle f(n|\lambda)=e^{{-\lambda}}{\frac{\lambda^{n}}{n!}},}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.12" xref="p1.1.m1.1.12.2.cmml">
      <mrow id="p1.1.m1.1.12.2" xref="p1.1.m1.1.12.2.cmml">
        <mrow id="p1.1.m1.1.12.2.1" xref="p1.1.m1.1.12.2.1.cmml">
          <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">f</mi>
          <mo id="p1.1.m1.1.12.2.1.1" xref="p1.1.m1.1.12.2.1.1.cmml">⁢</mo>
          <mrow id="p1.1.m1.1.12.2.1.2" xref="p1.1.m1.1.12.2.1.2.2.cmml">
            <mo stretchy="false" id="p1.1.m1.1.2" xref="p1.1.m1.1.12.2.1.2.2.cmml">(</mo>
            <mrow id="p1.1.m1.1.12.2.1.2.2" xref="p1.1.m1.1.12.2.1.2.2.cmml">
              <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">n</mi>
              <mo lspace="2.5pt" rspace="2.5pt" stretchy="false" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">|</mo>
              <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">λ</mi>
            </mrow>
            <mo stretchy="false" id="p1.1.m1.1.6" xref="p1.1.m1.1.12.2.1.2.2.cmml">)</mo>
          </mrow>
        </mrow>
        <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">=</mo>
        <mrow id="p1.1.m1.1.12.2.2" xref="p1.1.m1.1.12.2.2.cmml">
          <msup id="p1.1.m1.1.12.2.2.2" xref="p1.1.m1.1.12.2.2.2.cmml">
            <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">e</mi>
            <mrow id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">
              <mo id="p1.1.m1.1.9.1.1" xref="p1.1.m1.1.9.1.1.cmml">-</mo>
              <mi id="p1.1.m1.1.9.1.2" xref="p1.1.m1.1.9.1.2.cmml">λ</mi>
            </mrow>
          </msup>
          <mo id="p1.1.m1.1.12.2.2.1" xref="p1.1.m1.1.12.2.2.1.cmml">⁢</mo>
          <mstyle displaystyle="true" id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">
            <mfrac id="p1.1.m1.1.10a" xref="p1.1.m1.1.10.cmml">
              <msup id="p1.1.m1.1.10.2" xref="p1.1.m1.1.10.2.cmml">
                <mi id="p1.1.m1.1.10.2.1" xref="p1.1.m1.1.10.2.1.cmml">λ</mi>
                <mi id="p1.1.m1.1.10.2.2.1" xref="p1.1.m1.1.10.2.2.1.cmml">n</mi>
              </msup>
              <mrow id="p1.1.m1.1.10.3" xref="p1.1.m1.1.10.3.cmml">
                <mi id="p1.1.m1.1.10.3.1" xref="p1.1.m1.1.10.3.1.cmml">n</mi>
                <mo lspace="0pt" rspace="3.5pt" id="p1.1.m1.1.10.3.2" xref="p1.1.m1.1.10.3.2.cmml">!</mo>
              </mrow>
            </mfrac>
          </mstyle>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.12.2.cmml">,</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.12.2.cmml" xref="p1.1.m1.1.12">
        <eq id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
        <apply id="p1.1.m1.1.12.2.1.cmml" xref="p1.1.m1.1.12.2.1">
          <times id="p1.1.m1.1.12.2.1.1.cmml" xref="p1.1.m1.1.12.2.1.1"/>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑓</ci>
          <apply id="p1.1.m1.1.12.2.1.2.2.cmml" xref="p1.1.m1.1.12.2.1.2">
            <csymbol cd="latexml" id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">conditional</csymbol>
            <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝑛</ci>
            <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝜆</ci>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.12.2.2.cmml" xref="p1.1.m1.1.12.2.2">
          <times id="p1.1.m1.1.12.2.2.1.cmml" xref="p1.1.m1.1.12.2.2.1"/>
          <apply id="p1.1.m1.1.12.2.2.2.cmml" xref="p1.1.m1.1.12.2.2.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.12.2.2.2.1.cmml" xref="p1.1.m1.1.12.2.2.2">superscript</csymbol>
            <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">𝑒</ci>
            <apply id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">
              <minus id="p1.1.m1.1.9.1.1.cmml" xref="p1.1.m1.1.9.1.1"/>
              <ci id="p1.1.m1.1.9.1.2.cmml" xref="p1.1.m1.1.9.1.2">𝜆</ci>
            </apply>
          </apply>
          <apply id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">
            <divide id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10"/>
            <apply id="p1.1.m1.1.10.2.cmml" xref="p1.1.m1.1.10.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.10.2.3.cmml" xref="p1.1.m1.1.10.2">superscript</csymbol>
              <ci id="p1.1.m1.1.10.2.1.cmml" xref="p1.1.m1.1.10.2.1">𝜆</ci>
              <ci id="p1.1.m1.1.10.2.2.1.cmml" xref="p1.1.m1.1.10.2.2.1">𝑛</ci>
            </apply>
            <apply id="p1.1.m1.1.10.3.cmml" xref="p1.1.m1.1.10.3">
              <factorial id="p1.1.m1.1.10.3.2.cmml" xref="p1.1.m1.1.10.3.2"/>
              <ci id="p1.1.m1.1.10.3.1.cmml" xref="p1.1.m1.1.10.3.1">𝑛</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle f(n|\lambda)=e^{{-\lambda}}{\frac{\lambda^{n}}{n!}},}</annotation>
  </semantics>
</math>

SVG (7.137 KB / 2.55 KB) :

f times left-parenthesis n vertical-bar lamda right-parenthesis equals e Superscript negative lamda Baseline times StartFraction lamda Superscript n Baseline Over n factorial EndFraction comma

SVG (MathML can be enabled via browser plugin) rendering

MathML (1.226 KB / 421 B) :

f ( n | λ ) = e − λ λ n n ! , {\displaystyle f(n|\lambda )=e^{-\lambda }{\frac {\lambda ^{n}}{n!}},} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle f(n|\lambda )=e^{-\lambda }{\frac {\lambda ^{n}}{n!}},}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mi>f</mi>
        <mo stretchy="false">(</mo>
        <mi>n</mi>
        <mrow class="MJX-TeXAtom-ORD">
          <mo stretchy="false">|</mo>
        </mrow>
        <mi>&#x03BB;<!-- λ --></mi>
        <mo stretchy="false">)</mo>
        <mo>=</mo>
        <msup>
          <mi>e</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mo>&#x2212;<!-- − --></mo>
            <mi>&#x03BB;<!-- λ --></mi>
          </mrow>
        </msup>
        <mrow class="MJX-TeXAtom-ORD">
          <mfrac>
            <msup>
              <mi>&#x03BB;<!-- λ --></mi>
              <mrow class="MJX-TeXAtom-ORD">
                <mi>n</mi>
              </mrow>
            </msup>
            <mrow>
              <mi>n</mi>
              <mo>!</mo>
            </mrow>
          </mfrac>
        </mrow>
        <mo>,</mo>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle f(n|\lambda )=e^{-\lambda }{\frac {\lambda ^{n}}{n!}},}</annotation>
  </semantics>
</math>

SVG (5.392 KB / 2.282 KB) :

{\displaystyle f(n|\lambda )=e^{-\lambda }{\frac {\lambda ^{n}}{n!}},}

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Jeffreys prior page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Retrieved from "https://en.formulasearchengine.com/wiki/Special:FormulaInfo"