Jump to navigation Jump to search

General

Display information for equation id:math.266692.4 on revision:266692

* Page found: Graphical models for protein structure (eq math.266692.4)

(force rerendering)

Occurrences on the following pages:

Hash: dc86cd52e973bde5453cd7759b32a9fe

TeX (original user input):

p(X_s = x_s|X_b = x_b) = \frac{1}{Z} \prod_{c\in C(G)}\Phi_c (x_s^c,x_b^c)

TeX (checked):

p(X_{s}=x_{s}|X_{b}=x_{b})={\frac {1}{Z}}\prod _{c\in C(G)}\Phi _{c}(x_{s}^{c},x_{b}^{c})

LaTeXML (experimental; uses MathML) rendering

MathML (9.218 KB / 1.572 KB) :

p ( X s = x s | X b = x b ) = 1 Z c C ( G ) Φ c ( x s c , x b c ) fragments p fragments ( subscript 𝑋 𝑠 subscript 𝑥 𝑠 | subscript 𝑋 𝑏 subscript 𝑥 𝑏 ) 1 𝑍 subscript product 𝑐 𝐶 𝐺 subscript Φ 𝑐 fragments ( superscript subscript 𝑥 𝑠 𝑐 , superscript subscript 𝑥 𝑏 𝑐 ) {\displaystyle p(X_{s}=x_{s}|X_{b}=x_{b})={\frac{1}{Z}}\prod_{{c\in C(G)}}\Phi% _{c}(x_{s}^{c},x_{b}^{c})}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle p(X_{s}=x_{s}|X_{b}=x_{b})={\frac{1}{Z}}\prod_{{c\in C(G)}}\Phi%&#10;_{c}(x_{s}^{c},x_{b}^{c})}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">p</mi>
      <mrow id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">
        <mo stretchy="false" id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">(</mo>
        <msub id="p1.1.m1.1.30" xref="p1.1.m1.1.30.cmml">
          <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">X</mi>
          <mi id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">s</mi>
        </msub>
        <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">=</mo>
        <msub id="p1.1.m1.1.31" xref="p1.1.m1.1.31.cmml">
          <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">x</mi>
          <mi id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">s</mi>
        </msub>
        <mo stretchy="false" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">|</mo>
        <msub id="p1.1.m1.1.32" xref="p1.1.m1.1.32.cmml">
          <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">X</mi>
          <mi id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">b</mi>
        </msub>
        <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">=</mo>
        <msub id="p1.1.m1.1.33" xref="p1.1.m1.1.33.cmml">
          <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">x</mi>
          <mi id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">b</mi>
        </msub>
        <mo stretchy="false" id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">)</mo>
      </mrow>
      <mo id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">=</mo>
      <mstyle displaystyle="true" id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">
        <mfrac id="p1.1.m1.1.16a" xref="p1.1.m1.1.16.cmml">
          <mn id="p1.1.m1.1.16.2" xref="p1.1.m1.1.16.2.cmml">1</mn>
          <mi id="p1.1.m1.1.16.3" xref="p1.1.m1.1.16.3.cmml">Z</mi>
        </mfrac>
      </mstyle>
      <mstyle displaystyle="true" id="p1.1.m1.1.34" xref="p1.1.m1.1.34.cmml">
        <munder id="p1.1.m1.1.34a" xref="p1.1.m1.1.34.cmml">
          <mo largeop="true" movablelimits="false" symmetric="true" id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml"></mo>
          <mrow id="p1.1.m1.1.18.1" xref="p1.1.m1.1.18.1.cmml">
            <mi id="p1.1.m1.1.18.1.1" xref="p1.1.m1.1.18.1.1.cmml">c</mi>
            <mo id="p1.1.m1.1.18.1.2" xref="p1.1.m1.1.18.1.2.cmml"></mo>
            <mrow id="p1.1.m1.1.18.1.7" xref="p1.1.m1.1.18.1.7.cmml">
              <mi id="p1.1.m1.1.18.1.3" xref="p1.1.m1.1.18.1.3.cmml">C</mi>
              <mo id="p1.1.m1.1.18.1.7.1" xref="p1.1.m1.1.18.1.7.1.cmml"></mo>
              <mrow id="p1.1.m1.1.18.1.7.2" xref="p1.1.m1.1.18.1.7.cmml">
                <mo stretchy="false" id="p1.1.m1.1.18.1.4" xref="p1.1.m1.1.18.1.7.cmml">(</mo>
                <mi id="p1.1.m1.1.18.1.5" xref="p1.1.m1.1.18.1.5.cmml">G</mi>
                <mo stretchy="false" id="p1.1.m1.1.18.1.6" xref="p1.1.m1.1.18.1.7.cmml">)</mo>
              </mrow>
            </mrow>
          </mrow>
        </munder>
      </mstyle>
      <msub id="p1.1.m1.1.35" xref="p1.1.m1.1.35.cmml">
        <mi mathvariant="normal" id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">Φ</mi>
        <mi id="p1.1.m1.1.20.1" xref="p1.1.m1.1.20.1.cmml">c</mi>
      </msub>
      <mrow id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">
        <mo stretchy="false" id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">(</mo>
        <msubsup id="p1.1.m1.1.36" xref="p1.1.m1.1.36.cmml">
          <mi id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">x</mi>
          <mi id="p1.1.m1.1.23.1" xref="p1.1.m1.1.23.1.cmml">s</mi>
          <mi id="p1.1.m1.1.24.1" xref="p1.1.m1.1.24.1.cmml">c</mi>
        </msubsup>
        <mo id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">,</mo>
        <msubsup id="p1.1.m1.1.37" xref="p1.1.m1.1.37.cmml">
          <mi id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">x</mi>
          <mi id="p1.1.m1.1.27.1" xref="p1.1.m1.1.27.1.cmml">b</mi>
          <mi id="p1.1.m1.1.28.1" xref="p1.1.m1.1.28.1.cmml">c</mi>
        </msubsup>
        <mo stretchy="false" id="p1.1.m1.1.29" xref="p1.1.m1.1.29.cmml">)</mo>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1c">
      <cerror id="p1.1.m1.1d">
        <csymbol cd="ambiguous" id="p1.1.m1.1e">fragments</csymbol>
        <csymbol cd="unknown" id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">p</csymbol>
        <cerror id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">
          <csymbol cd="ambiguous" id="p1.1.m1.1.4a.cmml" xref="p1.1.m1.1.4">fragments</csymbol>
          <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">(</ci>
          <apply id="p1.1.m1.1.30.cmml" xref="p1.1.m1.1.30">
            <csymbol cd="ambiguous" id="p1.1.m1.1.30.1.cmml" xref="p1.1.m1.1.30">subscript</csymbol>
            <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝑋</ci>
            <ci id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">𝑠</ci>
          </apply>
          <eq id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"/>
          <apply id="p1.1.m1.1.31.cmml" xref="p1.1.m1.1.31">
            <csymbol cd="ambiguous" id="p1.1.m1.1.31.1.cmml" xref="p1.1.m1.1.31">subscript</csymbol>
            <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">𝑥</ci>
            <ci id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">𝑠</ci>
          </apply>
          <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">|</ci>
          <apply id="p1.1.m1.1.32.cmml" xref="p1.1.m1.1.32">
            <csymbol cd="ambiguous" id="p1.1.m1.1.32.1.cmml" xref="p1.1.m1.1.32">subscript</csymbol>
            <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝑋</ci>
            <ci id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">𝑏</ci>
          </apply>
          <eq id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11"/>
          <apply id="p1.1.m1.1.33.cmml" xref="p1.1.m1.1.33">
            <csymbol cd="ambiguous" id="p1.1.m1.1.33.1.cmml" xref="p1.1.m1.1.33">subscript</csymbol>
            <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">𝑥</ci>
            <ci id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13.1">𝑏</ci>
          </apply>
          <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">)</ci>
        </cerror>
        <eq id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15"/>
        <apply id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">
          <divide id="p1.1.m1.1.16.1.cmml" xref="p1.1.m1.1.16"/>
          <cn type="integer" id="p1.1.m1.1.16.2.cmml" xref="p1.1.m1.1.16.2">1</cn>
          <ci id="p1.1.m1.1.16.3.cmml" xref="p1.1.m1.1.16.3">𝑍</ci>
        </apply>
        <apply id="p1.1.m1.1.34.cmml" xref="p1.1.m1.1.34">
          <csymbol cd="ambiguous" id="p1.1.m1.1.34.1.cmml" xref="p1.1.m1.1.34">subscript</csymbol>
          <csymbol cd="latexml" id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">product</csymbol>
          <apply id="p1.1.m1.1.18.1.cmml" xref="p1.1.m1.1.18.1">
            <in id="p1.1.m1.1.18.1.2.cmml" xref="p1.1.m1.1.18.1.2"/>
            <ci id="p1.1.m1.1.18.1.1.cmml" xref="p1.1.m1.1.18.1.1">𝑐</ci>
            <apply id="p1.1.m1.1.18.1.7.cmml" xref="p1.1.m1.1.18.1.7">
              <times id="p1.1.m1.1.18.1.7.1.cmml" xref="p1.1.m1.1.18.1.7.1"/>
              <ci id="p1.1.m1.1.18.1.3.cmml" xref="p1.1.m1.1.18.1.3">𝐶</ci>
              <ci id="p1.1.m1.1.18.1.5.cmml" xref="p1.1.m1.1.18.1.5">𝐺</ci>
            </apply>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.35.cmml" xref="p1.1.m1.1.35">
          <csymbol cd="ambiguous" id="p1.1.m1.1.35.1.cmml" xref="p1.1.m1.1.35">subscript</csymbol>
          <ci id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">Φ</ci>
          <ci id="p1.1.m1.1.20.1.cmml" xref="p1.1.m1.1.20.1">𝑐</ci>
        </apply>
        <cerror id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">
          <csymbol cd="ambiguous" id="p1.1.m1.1.7a.cmml" xref="p1.1.m1.1.7">fragments</csymbol>
          <ci id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">(</ci>
          <apply id="p1.1.m1.1.36.cmml" xref="p1.1.m1.1.36">
            <csymbol cd="ambiguous" id="p1.1.m1.1.36.1.cmml" xref="p1.1.m1.1.36">superscript</csymbol>
            <apply id="p1.1.m1.1.36.2.cmml" xref="p1.1.m1.1.36">
              <csymbol cd="ambiguous" id="p1.1.m1.1.36.2.1.cmml" xref="p1.1.m1.1.36">subscript</csymbol>
              <ci id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">𝑥</ci>
              <ci id="p1.1.m1.1.23.1.cmml" xref="p1.1.m1.1.23.1">𝑠</ci>
            </apply>
            <ci id="p1.1.m1.1.24.1.cmml" xref="p1.1.m1.1.24.1">𝑐</ci>
          </apply>
          <ci id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">,</ci>
          <apply id="p1.1.m1.1.37.cmml" xref="p1.1.m1.1.37">
            <csymbol cd="ambiguous" id="p1.1.m1.1.37.1.cmml" xref="p1.1.m1.1.37">superscript</csymbol>
            <apply id="p1.1.m1.1.37.2.cmml" xref="p1.1.m1.1.37">
              <csymbol cd="ambiguous" id="p1.1.m1.1.37.2.1.cmml" xref="p1.1.m1.1.37">subscript</csymbol>
              <ci id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26">𝑥</ci>
              <ci id="p1.1.m1.1.27.1.cmml" xref="p1.1.m1.1.27.1">𝑏</ci>
            </apply>
            <ci id="p1.1.m1.1.28.1.cmml" xref="p1.1.m1.1.28.1">𝑐</ci>
          </apply>
          <ci id="p1.1.m1.1.29.cmml" xref="p1.1.m1.1.29">)</ci>
        </cerror>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle p(X_{s}=x_{s}|X_{b}=x_{b})={\frac{1}{Z}}\prod_{{c\in C(G)}}\Phi%
_{c}(x_{s}^{c},x_{b}^{c})}</annotation>
  </semantics>
</math>

SVG (15.314 KB / 5.209 KB) :

p left-parenthesis upper X Subscript s Baseline equals x Subscript s Baseline vertical-bar upper X Subscript b Baseline equals x Subscript b Baseline right-parenthesis equals StartFraction 1 Over upper Z EndFraction product Underscript c element-of upper C times left-parenthesis upper G right-parenthesis Endscripts normal upper Phi Subscript c Baseline left-parenthesis x Subscript s Superscript c Baseline comma x Subscript b Superscript c Baseline right-parenthesis

SVG (MathML can be enabled via browser plugin) rendering

MathML (2.387 KB / 537 B) :

p ( X s = x s | X b = x b ) = 1 Z c C ( G ) Φ c ( x s c , x b c ) {\displaystyle p(X_{s}=x_{s}|X_{b}=x_{b})={\frac {1}{Z}}\prod _{c\in C(G)}\Phi _{c}(x_{s}^{c},x_{b}^{c})}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle p(X_{s}=x_{s}|X_{b}=x_{b})={\frac {1}{Z}}\prod _{c\in C(G)}\Phi _{c}(x_{s}^{c},x_{b}^{c})}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mi>p</mi>
        <mo stretchy="false">(</mo>
        <msub>
          <mi>X</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>s</mi>
          </mrow>
        </msub>
        <mo>=</mo>
        <msub>
          <mi>x</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>s</mi>
          </mrow>
        </msub>
        <mrow class="MJX-TeXAtom-ORD">
          <mo stretchy="false">|</mo>
        </mrow>
        <msub>
          <mi>X</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>b</mi>
          </mrow>
        </msub>
        <mo>=</mo>
        <msub>
          <mi>x</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>b</mi>
          </mrow>
        </msub>
        <mo stretchy="false">)</mo>
        <mo>=</mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mfrac>
            <mn>1</mn>
            <mi>Z</mi>
          </mfrac>
        </mrow>
        <munder>
          <mo>&#x220F;<!-- ∏ --></mo>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>c</mi>
            <mo>&#x2208;<!-- ∈ --></mo>
            <mi>C</mi>
            <mo stretchy="false">(</mo>
            <mi>G</mi>
            <mo stretchy="false">)</mo>
          </mrow>
        </munder>
        <msub>
          <mi mathvariant="normal">&#x03A6;<!-- Φ --></mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>c</mi>
          </mrow>
        </msub>
        <mo stretchy="false">(</mo>
        <msubsup>
          <mi>x</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>s</mi>
          </mrow>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>c</mi>
          </mrow>
        </msubsup>
        <mo>,</mo>
        <msubsup>
          <mi>x</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>b</mi>
          </mrow>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>c</mi>
          </mrow>
        </msubsup>
        <mo stretchy="false">)</mo>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle p(X_{s}=x_{s}|X_{b}=x_{b})={\frac {1}{Z}}\prod _{c\in C(G)}\Phi _{c}(x_{s}^{c},x_{b}^{c})}</annotation>
  </semantics>
</math>

SVG (12.125 KB / 4.741 KB) :

{\displaystyle p(X_{s}=x_{s}|X_{b}=x_{b})={\frac {1}{Z}}\prod _{c\in C(G)}\Phi _{c}(x_{s}^{c},x_{b}^{c})}

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 Graphical models for protein structure page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results