Jump to navigation Jump to search

General

Display information for equation id:math.240443.8 on revision:240443

* Page found: Jeffreys prior (eq math.240443.8)

(force rerendering)

Occurrences on the following pages:

Hash: 086adc074fc09817139a0e2cd17879c9

TeX (original user input):

p(\vec\theta) \propto \sqrt{\det I(\vec\theta)}\,

TeX (checked):

p({\vec {\theta }})\propto {\sqrt {\det I({\vec {\theta }})}}\,

LaTeXML (experimental; uses MathML) rendering

MathML (3.811 KB / 851 B) :

p ( θ ) det I ( θ ) proportional-to 𝑝 𝜃 𝐼 𝜃 {\displaystyle p({\vec{\theta}})\propto{\sqrt{\det I({\vec{\theta}})}}\,}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle p({\vec{\theta}})\propto{\sqrt{\det I({\vec{\theta}})}}\,}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">
      <mrow id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">p</mi>
        <mo id="p1.1.m1.1.8.1.1" xref="p1.1.m1.1.8.1.1.cmml"></mo>
        <mrow id="p1.1.m1.1.8.1.2" xref="p1.1.m1.1.3.cmml">
          <mo stretchy="false" id="p1.1.m1.1.2" xref="p1.1.m1.1.3.cmml">(</mo>
          <mover accent="true" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">
            <mi id="p1.1.m1.1.3.2" xref="p1.1.m1.1.3.2.cmml">θ</mi>
            <mo stretchy="false" id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml"></mo>
          </mover>
          <mo stretchy="false" id="p1.1.m1.1.4" xref="p1.1.m1.1.3.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml"></mo>
      <mpadded width="+1.7pt" id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">
        <msqrt id="p1.1.m1.1.6a" xref="p1.1.m1.1.6.cmml">
          <mrow id="p1.1.m1.1.6.2" xref="p1.1.m1.1.6.2.cmml">
            <mo movablelimits="false" id="p1.1.m1.1.6.2.1" xref="p1.1.m1.1.6.2.1.cmml">det</mo>
            <mo id="p1.1.m1.1.6.2a" xref="p1.1.m1.1.6.2.cmml"></mo>
            <mrow id="p1.1.m1.1.6.2.6" xref="p1.1.m1.1.6.2.6.cmml">
              <mi id="p1.1.m1.1.6.2.2" xref="p1.1.m1.1.6.2.2.cmml">I</mi>
              <mo id="p1.1.m1.1.6.2.6.1" xref="p1.1.m1.1.6.2.6.1.cmml"></mo>
              <mrow id="p1.1.m1.1.6.2.6.2" xref="p1.1.m1.1.6.2.4.cmml">
                <mo stretchy="false" id="p1.1.m1.1.6.2.3" xref="p1.1.m1.1.6.2.4.cmml">(</mo>
                <mover accent="true" id="p1.1.m1.1.6.2.4" xref="p1.1.m1.1.6.2.4.cmml">
                  <mi id="p1.1.m1.1.6.2.4.2" xref="p1.1.m1.1.6.2.4.2.cmml">θ</mi>
                  <mo stretchy="false" id="p1.1.m1.1.6.2.4.1" xref="p1.1.m1.1.6.2.4.1.cmml"></mo>
                </mover>
                <mo stretchy="false" id="p1.1.m1.1.6.2.5" xref="p1.1.m1.1.6.2.4.cmml">)</mo>
              </mrow>
            </mrow>
          </mrow>
        </msqrt>
      </mpadded>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">
        <csymbol cd="latexml" id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">proportional-to</csymbol>
        <apply id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">
          <times id="p1.1.m1.1.8.1.1.cmml" xref="p1.1.m1.1.8.1.1"/>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑝</ci>
          <apply id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.8.1.2">
            <ci id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1"></ci>
            <ci id="p1.1.m1.1.3.2.cmml" xref="p1.1.m1.1.3.2">𝜃</ci>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">
          <root id="p1.1.m1.1.6a.cmml" xref="p1.1.m1.1.6"/>
          <apply id="p1.1.m1.1.6.2.cmml" xref="p1.1.m1.1.6.2">
            <determinant id="p1.1.m1.1.6.2.1.cmml" xref="p1.1.m1.1.6.2.1"/>
            <apply id="p1.1.m1.1.6.2.6.cmml" xref="p1.1.m1.1.6.2.6">
              <times id="p1.1.m1.1.6.2.6.1.cmml" xref="p1.1.m1.1.6.2.6.1"/>
              <ci id="p1.1.m1.1.6.2.2.cmml" xref="p1.1.m1.1.6.2.2">𝐼</ci>
              <apply id="p1.1.m1.1.6.2.4.cmml" xref="p1.1.m1.1.6.2.6.2">
                <ci id="p1.1.m1.1.6.2.4.1.cmml" xref="p1.1.m1.1.6.2.4.1"></ci>
                <ci id="p1.1.m1.1.6.2.4.2.cmml" xref="p1.1.m1.1.6.2.4.2">𝜃</ci>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle p({\vec{\theta}})\propto{\sqrt{\det I({\vec{\theta}})}}\,}</annotation>
  </semantics>
</math>

SVG (7.749 KB / 3.032 KB) :

p times left-parenthesis ModifyingAbove theta With right-arrow right-parenthesis proportional-to StartRoot det upper I times left-parenthesis ModifyingAbove theta With right-arrow right-parenthesis EndRoot

SVG (MathML can be enabled via browser plugin) rendering

MathML (1.386 KB / 473 B) :

p ( θ ) det I ( θ ) {\displaystyle p({\vec {\theta }})\propto {\sqrt {\det I({\vec {\theta }})}}\,}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle p({\vec {\theta }})\propto {\sqrt {\det I({\vec {\theta }})}}\,}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mi>p</mi>
        <mo stretchy="false">(</mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <mover>
              <mi>&#x03B8;<!-- θ --></mi>
              <mo stretchy="false">&#x2192;<!-- → --></mo>
            </mover>
          </mrow>
        </mrow>
        <mo stretchy="false">)</mo>
        <mo>&#x221D;<!-- ∝ --></mo>
        <mrow class="MJX-TeXAtom-ORD">
          <msqrt>
            <mo movablelimits="true" form="prefix">det</mo>
            <mi>I</mi>
            <mo stretchy="false">(</mo>
            <mrow class="MJX-TeXAtom-ORD">
              <mrow class="MJX-TeXAtom-ORD">
                <mover>
                  <mi>&#x03B8;<!-- θ --></mi>
                  <mo stretchy="false">&#x2192;<!-- → --></mo>
                </mover>
              </mrow>
            </mrow>
            <mo stretchy="false">)</mo>
          </msqrt>
        </mrow>
        <mspace width="thinmathspace" />
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle p({\vec {\theta }})\propto {\sqrt {\det I({\vec {\theta }})}}\,}</annotation>
  </semantics>
</math>

SVG (6.231 KB / 2.783 KB) :

{\displaystyle p({\vec {\theta }})\propto {\sqrt {\det I({\vec {\theta }})}}\,}

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