Jump to navigation Jump to search

General

Display information for equation id:math.239785.16 on revision:239785

* Page found: Superior highly composite number (eq math.239785.16)

(force rerendering)

Occurrences on the following pages:

Hash: 19d9c40da08b11d7eb4b9e69e0e834d5

TeX (original user input): 

s_n = \prod_{i=1}^n\pi_i

TeX (checked): 

s_{n}=\prod _{i=1}^{n}\pi _{i}

LaTeXML (experimental; uses MathML) rendering

MathML (3.369 KB / 782 B) :

s n = ∏ i = 1 n π i subscript 𝑠 𝑛 superscript subscript product 𝑖 1 𝑛 subscript 𝜋 𝑖 {\displaystyle s_{n}=\prod_{{i=1}}^{n}\pi_{i}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle s_{n}=\prod_{{i=1}}^{n}\pi_{i}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">
      <msub id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">s</mi>
        <mi id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">n</mi>
      </msub>
      <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">=</mo>
      <mrow id="p1.1.m1.1.9.2" xref="p1.1.m1.1.9.2.cmml">
        <mstyle displaystyle="true" id="p1.1.m1.1.9.2.1" xref="p1.1.m1.1.9.2.1.cmml">
          <munderover id="p1.1.m1.1.9.2.1a" xref="p1.1.m1.1.9.2.1.cmml">
            <mo largeop="true" movablelimits="false" symmetric="true" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">∏</mo>
            <mrow id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">
              <mi id="p1.1.m1.1.5.1.1" xref="p1.1.m1.1.5.1.1.cmml">i</mi>
              <mo id="p1.1.m1.1.5.1.2" xref="p1.1.m1.1.5.1.2.cmml">=</mo>
              <mn id="p1.1.m1.1.5.1.3" xref="p1.1.m1.1.5.1.3.cmml">1</mn>
            </mrow>
            <mi id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">n</mi>
          </munderover>
        </mstyle>
        <msub id="p1.1.m1.1.9.2.2" xref="p1.1.m1.1.9.2.2.cmml">
          <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">π</mi>
          <mi id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">i</mi>
        </msub>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">
        <eq id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
        <apply id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">
          <csymbol cd="ambiguous" id="p1.1.m1.1.9.1.1.cmml" xref="p1.1.m1.1.9.1">subscript</csymbol>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑠</ci>
          <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">𝑛</ci>
        </apply>
        <apply id="p1.1.m1.1.9.2.cmml" xref="p1.1.m1.1.9.2">
          <apply id="p1.1.m1.1.9.2.1.cmml" xref="p1.1.m1.1.9.2.1">
            <csymbol cd="ambiguous" id="p1.1.m1.1.9.2.1.1.cmml" xref="p1.1.m1.1.9.2.1">superscript</csymbol>
            <apply id="p1.1.m1.1.9.2.1.2.cmml" xref="p1.1.m1.1.9.2.1">
              <csymbol cd="ambiguous" id="p1.1.m1.1.9.2.1.2.1.cmml" xref="p1.1.m1.1.9.2.1">subscript</csymbol>
              <csymbol cd="latexml" id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">product</csymbol>
              <apply id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">
                <eq id="p1.1.m1.1.5.1.2.cmml" xref="p1.1.m1.1.5.1.2"/>
                <ci id="p1.1.m1.1.5.1.1.cmml" xref="p1.1.m1.1.5.1.1">𝑖</ci>
                <cn type="integer" id="p1.1.m1.1.5.1.3.cmml" xref="p1.1.m1.1.5.1.3">1</cn>
              </apply>
            </apply>
            <ci id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">𝑛</ci>
          </apply>
          <apply id="p1.1.m1.1.9.2.2.cmml" xref="p1.1.m1.1.9.2.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.9.2.2.1.cmml" xref="p1.1.m1.1.9.2.2">subscript</csymbol>
            <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝜋</ci>
            <ci id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">𝑖</ci>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle s_{n}=\prod_{{i=1}}^{n}\pi_{i}}</annotation>
  </semantics>
</math>

SVG (5.351 KB / 2.105 KB) :

s Subscript n Baseline equals product Underscript i equals 1 Overscript n Endscripts pi Subscript i

SVG (MathML can be enabled via browser plugin) rendering

MathML (976 B / 360 B) :

s n = ∏ i = 1 n π i {\displaystyle s_{n}=\prod _{i=1}^{n}\pi _{i}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle s_{n}=\prod _{i=1}^{n}\pi _{i}}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <msub>
          <mi>s</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>n</mi>
          </mrow>
        </msub>
        <mo>=</mo>
        <munderover>
          <mo>&#x220F;<!-- ∏ --></mo>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>i</mi>
            <mo>=</mo>
            <mn>1</mn>
          </mrow>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>n</mi>
          </mrow>
        </munderover>
        <msub>
          <mi>&#x03C0;<!-- π --></mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>i</mi>
          </mrow>
        </msub>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle s_{n}=\prod _{i=1}^{n}\pi _{i}}</annotation>
  </semantics>
</math>

SVG (4.386 KB / 1.954 KB) :

{\displaystyle s_{n}=\prod _{i=1}^{n}\pi _{i}}

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 Superior highly composite number 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"