Jump to navigation Jump to search

General

Display information for equation id:math.130871.10 on revision:130871

* Page found: Linebreaking (eq math.130871.10)

(force rerendering)

Occurrences on the following pages:

Hash: 19d0ed78ab7fc7d77387317fd4881714

TeX (original user input): 

\frac{N{(N+1)}{(2N+1)}}{6}

TeX (checked): 

{\frac {N{(N+1)}{(2N+1)}}{6}}

LaTeXML (experimental; uses MathML) rendering

MathML (3.213 KB / 701 B) :

N ⁢ ( N + 1 ) ⁢ ( 2 ⁢ N + 1 ) 6 N N 1 2 N 1 6 {\displaystyle{\frac{N{(N+1)}{(2N+1)}}{6}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\frac{N{(N+1)}{(2N+1)}}{6}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mstyle displaystyle="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">
      <mfrac id="p1.1.m1.1.1a" xref="p1.1.m1.1.1.cmml">
        <mrow id="p1.1.m1.1.1.2" xref="p1.1.m1.1.1.2.cmml">
          <mi id="p1.1.m1.1.1.2.1" xref="p1.1.m1.1.1.2.1.cmml">N</mi>
          <mo id="p1.1.m1.1.1.2.13" xref="p1.1.m1.1.1.2.13.cmml">⁢</mo>
          <mrow id="p1.1.m1.1.1.2.14b">
            <mo stretchy="false" id="p1.1.m1.1.1.2.14">(</mo>
            <mrow id="XM1" xref="XM1.cmml">
              <mi id="p1.1.m1.1.1.2.3" xref="p1.1.m1.1.1.2.3.cmml">N</mi>
              <mo id="p1.1.m1.1.1.2.4" xref="p1.1.m1.1.1.2.4.cmml">+</mo>
              <mn id="p1.1.m1.1.1.2.5" xref="p1.1.m1.1.1.2.5.cmml">1</mn>
            </mrow>
            <mo stretchy="false" id="p1.1.m1.1.1.2.14a">)</mo>
          </mrow>
          <mo id="p1.1.m1.1.1.2.13a" xref="p1.1.m1.1.1.2.13.cmml">⁢</mo>
          <mrow id="p1.1.m1.1.1.2.15b">
            <mo stretchy="false" id="p1.1.m1.1.1.2.15">(</mo>
            <mrow id="XM2" xref="XM2.cmml">
              <mrow id="XM2.1" xref="XM2.1.cmml">
                <mn id="p1.1.m1.1.1.2.8" xref="p1.1.m1.1.1.2.8.cmml">2</mn>
                <mo id="XM2.1.1" xref="XM2.1.1.cmml">⁢</mo>
                <mi id="p1.1.m1.1.1.2.9" xref="p1.1.m1.1.1.2.9.cmml">N</mi>
              </mrow>
              <mo id="p1.1.m1.1.1.2.10" xref="p1.1.m1.1.1.2.10.cmml">+</mo>
              <mn id="p1.1.m1.1.1.2.11" xref="p1.1.m1.1.1.2.11.cmml">1</mn>
            </mrow>
            <mo stretchy="false" id="p1.1.m1.1.1.2.15a">)</mo>
          </mrow>
        </mrow>
        <mn id="p1.1.m1.1.1.3" xref="p1.1.m1.1.1.3.cmml">6</mn>
      </mfrac>
    </mstyle>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">
        <divide id="p1.1.m1.1.1.1.cmml"/>
        <apply id="p1.1.m1.1.1.2.cmml" xref="p1.1.m1.1.1.2">
          <times id="p1.1.m1.1.1.2.13.cmml" xref="p1.1.m1.1.1.2.13"/>
          <ci id="p1.1.m1.1.1.2.1.cmml" xref="p1.1.m1.1.1.2.1">N</ci>
          <apply id="XM1.cmml" xref="XM1">
            <plus id="p1.1.m1.1.1.2.4.cmml" xref="p1.1.m1.1.1.2.4"/>
            <ci id="p1.1.m1.1.1.2.3.cmml" xref="p1.1.m1.1.1.2.3">N</ci>
            <cn type="integer" id="p1.1.m1.1.1.2.5.cmml" xref="p1.1.m1.1.1.2.5">1</cn>
          </apply>
          <apply id="XM2.cmml" xref="XM2">
            <plus id="p1.1.m1.1.1.2.10.cmml" xref="p1.1.m1.1.1.2.10"/>
            <apply id="XM2.1.cmml" xref="XM2.1">
              <times id="XM2.1.1.cmml" xref="XM2.1.1"/>
              <cn type="integer" id="p1.1.m1.1.1.2.8.cmml" xref="p1.1.m1.1.1.2.8">2</cn>
              <ci id="p1.1.m1.1.1.2.9.cmml" xref="p1.1.m1.1.1.2.9">N</ci>
            </apply>
            <cn type="integer" id="p1.1.m1.1.1.2.11.cmml" xref="p1.1.m1.1.1.2.11">1</cn>
          </apply>
        </apply>
        <cn type="integer" id="p1.1.m1.1.1.3.cmml" xref="p1.1.m1.1.1.3">6</cn>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\frac{N{(N+1)}{(2N+1)}}{6}}}</annotation>
  </semantics>
</math>

SVG (4.923 KB / 1.93 KB) :


SVG with PNG fallback (MathML can be enabled via browser plugin) rendering

MathML (1.029 KB / 333 B) :

N ( N + 1 ) ( 2 N + 1 ) 6 {\displaystyle {\frac {N{(N+1)}{(2N+1)}}{6}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle {\frac {N{(N+1)}{(2N+1)}}{6}}}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mrow class="MJX-TeXAtom-ORD">
          <mfrac>
            <mrow>
              <mi>N</mi>
              <mrow class="MJX-TeXAtom-ORD">
                <mo stretchy="false">(</mo>
                <mi>N</mi>
                <mo>+</mo>
                <mn>1</mn>
                <mo stretchy="false">)</mo>
              </mrow>
              <mrow class="MJX-TeXAtom-ORD">
                <mo stretchy="false">(</mo>
                <mn>2</mn>
                <mi>N</mi>
                <mo>+</mo>
                <mn>1</mn>
                <mo stretchy="false">)</mo>
              </mrow>
            </mrow>
            <mn>6</mn>
          </mfrac>
        </mrow>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle {\frac {N{(N+1)}{(2N+1)}}{6}}}</annotation>
  </semantics>
</math>

SVG (4.177 KB / 1.841 KB) :

{\displaystyle {\frac {N{(N+1)}{(2N+1)}}{6}}}

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 Linebreaking 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"