Jump to navigation Jump to search

General

Display information for equation id:math.240443.0 on revision:240443

* Page found: Jeffreys prior (eq math.240443.0)

(force rerendering)

Occurrences on the following pages:

Hash: 6744ca179e970a52e523fefb4818d9fa

TeX (original user input): 

p\left(\vec\theta\right) \propto \sqrt{\det \mathcal{I}\left(\vec\theta\right)}.\,

TeX (checked): 

p\left({\vec {\theta }}\right)\propto {\sqrt {\det {\mathcal {I}}\left({\vec {\theta }}\right)}}.\,

LaTeXML (experimental; uses MathML) rendering

MathML (3.956 KB / 888 B) :

p ⁢ ( θ → ) ∝ det ⁡ ℐ ⁢ ( θ → ) . proportional-to 𝑝 → 𝜃 ℐ → 𝜃 {\displaystyle p\left({\vec{\theta}}\right)\propto{\sqrt{\det{\mathcal{I}}% \left({\vec{\theta}}\right)}}.\,} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle p\left({\vec{\theta}}\right)\propto{\sqrt{\det{\mathcal{I}}%&#10;\left({\vec{\theta}}\right)}}.\,}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.9" xref="p1.1.m1.1.9.2.cmml">
      <mrow id="p1.1.m1.1.9.2" xref="p1.1.m1.1.9.2.cmml">
        <mrow id="p1.1.m1.1.9.2.1" xref="p1.1.m1.1.9.2.1.cmml">
          <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">p</mi>
          <mo id="p1.1.m1.1.9.2.1.1" xref="p1.1.m1.1.9.2.1.1.cmml">⁢</mo>
          <mrow id="p1.1.m1.1.9.2.1.2" xref="p1.1.m1.1.3.cmml">
            <mo 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 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>
        <msqrt id="p1.1.m1.1.6" 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 class="ltx_font_mathcaligraphic" 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 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 id="p1.1.m1.1.6.2.5" xref="p1.1.m1.1.6.2.4.cmml">)</mo>
              </mrow>
            </mrow>
          </mrow>
        </msqrt>
      </mrow>
      <mo rspace="4.2pt" id="p1.1.m1.1.7" xref="p1.1.m1.1.9.2.cmml">.</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.9.2.cmml" xref="p1.1.m1.1.9">
        <csymbol cd="latexml" id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">proportional-to</csymbol>
        <apply id="p1.1.m1.1.9.2.1.cmml" xref="p1.1.m1.1.9.2.1">
          <times id="p1.1.m1.1.9.2.1.1.cmml" xref="p1.1.m1.1.9.2.1.1"/>
          <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.m1.1.9.2.1.2">
            <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\left({\vec{\theta}}\right)\propto{\sqrt{\det{\mathcal{I}}%
\left({\vec{\theta}}\right)}}.\,}</annotation>
  </semantics>
</math>

SVG (9.197 KB / 3.727 KB) :

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

SVG (MathML can be enabled via browser plugin) rendering

MathML (1.694 KB / 537 B) :

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

SVG (7.155 KB / 3.15 KB) :

{\displaystyle p\left({\vec {\theta }}\right)\propto {\sqrt {\det {\mathcal {I}}\left({\vec {\theta }}\right)}}.\,}

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"