Jump to navigation Jump to search

General

Display information for equation id:math.2505.54 on revision:2505

* Page found: Das ideale Gas (eq math.2505.54)

(force rerendering)

Occurrences on the following pages:

Hash: 6512557f335e879bf3dee0ee02854750

TeX (original user input):

N!\approx {{N}^{N}}{{e}^{-N}}

TeX (checked):

N!\approx {{N}^{N}}{{e}^{-N}}

LaTeXML (experimental; uses MathML) rendering

MathML (2.746 KB / 663 B) :

N ! N N e - N 𝑁 superscript 𝑁 𝑁 superscript 𝑒 𝑁 {\displaystyle{\displaystyle N!\approx{{N}^{N}}{{e}^{-N}}}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle N!\approx{{N}^{N}}{{e}^{-N}}}}" 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">N</mi>
        <mo lspace="0pt" rspace="3.5pt" id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">!</mo>
      </mrow>
      <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml"></mo>
      <mrow id="p1.1.m1.1.8.2" xref="p1.1.m1.1.8.2.cmml">
        <msup id="p1.1.m1.1.8.2.2" xref="p1.1.m1.1.8.2.2.cmml">
          <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">N</mi>
          <mi id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">N</mi>
        </msup>
        <mo id="p1.1.m1.1.8.2.1" xref="p1.1.m1.1.8.2.1.cmml"></mo>
        <msup id="p1.1.m1.1.8.2.3" xref="p1.1.m1.1.8.2.3.cmml">
          <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">e</mi>
          <mrow id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">
            <mo id="p1.1.m1.1.7.1.1" xref="p1.1.m1.1.7.1.1.cmml">-</mo>
            <mi id="p1.1.m1.1.7.1.2" xref="p1.1.m1.1.7.1.2.cmml">N</mi>
          </mrow>
        </msup>
      </mrow>
    </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">
        <approx id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
        <apply id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">
          <factorial id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑁</ci>
        </apply>
        <apply id="p1.1.m1.1.8.2.cmml" xref="p1.1.m1.1.8.2">
          <times id="p1.1.m1.1.8.2.1.cmml" xref="p1.1.m1.1.8.2.1"/>
          <apply id="p1.1.m1.1.8.2.2.cmml" xref="p1.1.m1.1.8.2.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.8.2.2.1.cmml" xref="p1.1.m1.1.8.2.2">superscript</csymbol>
            <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝑁</ci>
            <ci id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">𝑁</ci>
          </apply>
          <apply id="p1.1.m1.1.8.2.3.cmml" xref="p1.1.m1.1.8.2.3">
            <csymbol cd="ambiguous" id="p1.1.m1.1.8.2.3.1.cmml" xref="p1.1.m1.1.8.2.3">superscript</csymbol>
            <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">𝑒</ci>
            <apply id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">
              <minus id="p1.1.m1.1.7.1.1.cmml" xref="p1.1.m1.1.7.1.1"/>
              <ci id="p1.1.m1.1.7.1.2.cmml" xref="p1.1.m1.1.7.1.2">𝑁</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle N!\approx{{N}^{N}}{{e}^{-N}}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (402 B / 197 B) :

N!NNeN
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>N</mi><mi>!</mi><mo>&#x2248;</mo><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msup><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi>N</mi></mrow></mrow></msup></mstyle></mrow></math>

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 Das ideale Gas page

Identifiers

  • N
  • N
  • N
  • e
  • N

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results