- testwiki

General

Display information for equation id:math.2436.42 on revision:2436

* Page found: Spezielle Verteilungen (eq math.2436.42)

Occurrences on the following pages:

Spezielle Verteilungen Eq: math.2441.42

Hash: a4cac8f993be13b029c5d165563e2d05

TeX (original user input):

dS\left( U,V,{{N}^{\alpha }} \right)=\frac{1}{T}dU-\frac{{{\mu }_{\alpha }}}{T}d{{\bar{N}}^{\alpha }}

TeX (checked):

dS\left(U,V,{{N}^{\alpha }}\right)={\frac {1}{T}}dU-{\frac {{\mu }_{\alpha }}{T}}d{{\bar {N}}^{\alpha }}

LaTeXML (experimental; uses MathML) rendering

MathML (6.767 KB / 1.199 KB) :

{\displaystyle{\displaystyle dS\left(U,V,{{N}^{\alpha}}\right)=\frac{1}{T}dU-% \frac{{{\mu}_{\alpha}}}{T}d{{\bar{N}}^{\alpha}}}}

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle dS\left(U,V,{{N}^{\alpha}}\right)=\frac{1}{T}dU-%&#10;\frac{{{\mu}_{\alpha}}}{T}d{{\bar{N}}^{\alpha}}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">
      <mrow id="p1.1.m1.1.20.1" xref="p1.1.m1.1.20.1.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">d</mi>
        <mo id="p1.1.m1.1.20.1.1" xref="p1.1.m1.1.20.1.1.cmml">⁢</mo>
        <mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">S</mi>
        <mo id="p1.1.m1.1.20.1.1a" xref="p1.1.m1.1.20.1.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.20.1.2" xref="p1.1.m1.1.20.1.2.1.cmml">
          <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.20.1.2.1.cmml">(</mo>
          <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">U</mi>
          <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.20.1.2.1.cmml">,</mo>
          <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">V</mi>
          <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.20.1.2.1.cmml">,</mo>
          <msup id="p1.1.m1.1.20.1.2.2" xref="p1.1.m1.1.20.1.2.2.cmml">
            <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">N</mi>
            <mi id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">α</mi>
          </msup>
          <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.20.1.2.1.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">=</mo>
      <mrow id="p1.1.m1.1.20.2" xref="p1.1.m1.1.20.2.cmml">
        <mrow id="p1.1.m1.1.20.2.1" xref="p1.1.m1.1.20.2.1.cmml">
          <mstyle displaystyle="true" id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">
            <mfrac id="p1.1.m1.1.12a" xref="p1.1.m1.1.12.cmml">
              <mn id="p1.1.m1.1.12.2" xref="p1.1.m1.1.12.2.cmml">1</mn>
              <mi id="p1.1.m1.1.12.3" xref="p1.1.m1.1.12.3.cmml">T</mi>
            </mfrac>
          </mstyle>
          <mo id="p1.1.m1.1.20.2.1.1" xref="p1.1.m1.1.20.2.1.1.cmml">⁢</mo>
          <mi id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">d</mi>
          <mo id="p1.1.m1.1.20.2.1.1a" xref="p1.1.m1.1.20.2.1.1.cmml">⁢</mo>
          <mi id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">U</mi>
        </mrow>
        <mo id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">-</mo>
        <mrow id="p1.1.m1.1.20.2.2" xref="p1.1.m1.1.20.2.2.cmml">
          <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">
              <msub id="p1.1.m1.1.16.2" xref="p1.1.m1.1.16.2.cmml">
                <mi id="p1.1.m1.1.16.2.1" xref="p1.1.m1.1.16.2.1.cmml">μ</mi>
                <mi id="p1.1.m1.1.16.2.2.1" xref="p1.1.m1.1.16.2.2.1.cmml">α</mi>
              </msub>
              <mi id="p1.1.m1.1.16.3" xref="p1.1.m1.1.16.3.cmml">T</mi>
            </mfrac>
          </mstyle>
          <mo id="p1.1.m1.1.20.2.2.1" xref="p1.1.m1.1.20.2.2.1.cmml">⁢</mo>
          <mi id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">d</mi>
          <mo id="p1.1.m1.1.20.2.2.1a" xref="p1.1.m1.1.20.2.2.1.cmml">⁢</mo>
          <msup id="p1.1.m1.1.20.2.2.2" xref="p1.1.m1.1.20.2.2.2.cmml">
            <mover accent="true" id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">
              <mi id="p1.1.m1.1.18.2" xref="p1.1.m1.1.18.2.cmml">N</mi>
              <mo stretchy="false" id="p1.1.m1.1.18.1" xref="p1.1.m1.1.18.1.cmml">¯</mo>
            </mover>
            <mi id="p1.1.m1.1.19.1" xref="p1.1.m1.1.19.1.cmml">α</mi>
          </msup>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">
        <eq id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11"/>
        <apply id="p1.1.m1.1.20.1.cmml" xref="p1.1.m1.1.20.1">
          <times id="p1.1.m1.1.20.1.1.cmml" xref="p1.1.m1.1.20.1.1"/>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑑</ci>
          <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝑆</ci>
          <vector id="p1.1.m1.1.20.1.2.1.cmml" xref="p1.1.m1.1.20.1.2">
            <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝑈</ci>
            <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">𝑉</ci>
            <apply id="p1.1.m1.1.20.1.2.2.cmml" xref="p1.1.m1.1.20.1.2.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.20.1.2.2.1.cmml" xref="p1.1.m1.1.20.1.2.2">superscript</csymbol>
              <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">𝑁</ci>
              <ci id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">𝛼</ci>
            </apply>
          </vector>
        </apply>
        <apply id="p1.1.m1.1.20.2.cmml" xref="p1.1.m1.1.20.2">
          <minus id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15"/>
          <apply id="p1.1.m1.1.20.2.1.cmml" xref="p1.1.m1.1.20.2.1">
            <times id="p1.1.m1.1.20.2.1.1.cmml" xref="p1.1.m1.1.20.2.1.1"/>
            <apply id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">
              <divide id="p1.1.m1.1.12.1.cmml" xref="p1.1.m1.1.12"/>
              <cn type="integer" id="p1.1.m1.1.12.2.cmml" xref="p1.1.m1.1.12.2">1</cn>
              <ci id="p1.1.m1.1.12.3.cmml" xref="p1.1.m1.1.12.3">𝑇</ci>
            </apply>
            <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">𝑑</ci>
            <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">𝑈</ci>
          </apply>
          <apply id="p1.1.m1.1.20.2.2.cmml" xref="p1.1.m1.1.20.2.2">
            <times id="p1.1.m1.1.20.2.2.1.cmml" xref="p1.1.m1.1.20.2.2.1"/>
            <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"/>
              <apply id="p1.1.m1.1.16.2.cmml" xref="p1.1.m1.1.16.2">
                <csymbol cd="ambiguous" id="p1.1.m1.1.16.2.3.cmml" xref="p1.1.m1.1.16.2">subscript</csymbol>
                <ci id="p1.1.m1.1.16.2.1.cmml" xref="p1.1.m1.1.16.2.1">𝜇</ci>
                <ci id="p1.1.m1.1.16.2.2.1.cmml" xref="p1.1.m1.1.16.2.2.1">𝛼</ci>
              </apply>
              <ci id="p1.1.m1.1.16.3.cmml" xref="p1.1.m1.1.16.3">𝑇</ci>
            </apply>
            <ci id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">𝑑</ci>
            <apply id="p1.1.m1.1.20.2.2.2.cmml" xref="p1.1.m1.1.20.2.2.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.20.2.2.2.1.cmml" xref="p1.1.m1.1.20.2.2.2">superscript</csymbol>
              <apply id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">
                <ci id="p1.1.m1.1.18.1.cmml" xref="p1.1.m1.1.18.1">¯</ci>
                <ci id="p1.1.m1.1.18.2.cmml" xref="p1.1.m1.1.18.2">𝑁</ci>
              </apply>
              <ci id="p1.1.m1.1.19.1.cmml" xref="p1.1.m1.1.19.1">𝛼</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle dS\left(U,V,{{N}^{\alpha}}\right)=\frac{1}{T}dU-%
\frac{{{\mu}_{\alpha}}}{T}d{{\bar{N}}^{\alpha}}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :

MathML (experimental; no images) rendering

MathML (1018 B / 318 B) :

d S (U, V, N^{α}) = \frac{1}{T} d U - \frac{μ_{α}}{T} d {\bar{N}}^{α}

<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>d</mi><mi>S</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>U</mi><mo>,</mo><mi>V</mi><mo>,</mo><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></mfrac></mrow><mi>d</mi><mi>U</mi><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>&#x03BC;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></mfrac></mrow><mi>d</mi><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msup></mstyle></mrow></math>

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Identifiers

$d$

$S$

$U$

$V$

$N$

$α$

$T$

$d$

$U$

$μ_{α}$

$T$

$d$

$\bar{N}$

$α$

MathML observations

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

General

LaTeXML (experimental; uses MathML) rendering

MathML (experimental; no images) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigation menu

General

LaTeXML (experimental; uses MathML) rendering

MathML (experimental; no images) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigation menu

Search