Jump to navigation Jump to search

General

Display information for equation id:math.219159.1 on revision:219159

* Page found: Complete metric space (eq math.219159.1)

(force rerendering)

Occurrences on the following pages:

Hash: 008b1a26a2217fe7dfd19fbfb8bab404

TeX (original user input): 

\scriptstyle x_{n+1} \;=\; \frac{x_n}{2} \,+\, \frac{1}{x_n}

TeX (checked): 

\scriptstyle x_{n+1}\;=\;{\frac {x_{n}}{2}}\,+\,{\frac {1}{x_{n}}}

LaTeXML (experimental; uses MathML) rendering

MathML (4.414 KB / 934 B) :

x n + 1 = x n 2 + 1 x n subscript 𝑥 𝑛 1 subscript 𝑥 𝑛 2 1 subscript 𝑥 𝑛 {\displaystyle\scriptstyle x_{{n+1}}\;=\;{\frac{x_{n}}{2}}\,+\,{\frac{1}{x_{n}% }}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\scriptstyle x_{{n+1}}\;=\;{\frac{x_{n}}{2}}\,+\,{\frac{1}{x_{n}%&#10;}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">
      <mpadded width="+2.8pt" id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">
        <msub id="p1.1.m1.1.11.1a" xref="p1.1.m1.1.11.1.cmml">
          <mi mathsize="70%" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">x</mi>
          <mrow id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">
            <mi mathsize="71%" id="p1.1.m1.1.2.1.1" xref="p1.1.m1.1.2.1.1.cmml">n</mi>
            <mo mathsize="71%" stretchy="false" id="p1.1.m1.1.2.1.2" xref="p1.1.m1.1.2.1.2.cmml">+</mo>
            <mn mathsize="71%" id="p1.1.m1.1.2.1.3" xref="p1.1.m1.1.2.1.3.cmml">1</mn>
          </mrow>
        </msub>
      </mpadded>
      <mo mathsize="70%" rspace="5.3pt" stretchy="false" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">=</mo>
      <mrow id="p1.1.m1.1.11.2" xref="p1.1.m1.1.11.2.cmml">
        <mpadded width="+1.7pt" id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">
          <mstyle scriptlevel="+1" id="p1.1.m1.1.6a" xref="p1.1.m1.1.6.cmml">
            <mfrac id="p1.1.m1.1.6b" xref="p1.1.m1.1.6.cmml">
              <msub id="p1.1.m1.1.6.2" xref="p1.1.m1.1.6.2.cmml">
                <mi id="p1.1.m1.1.6.2.1" xref="p1.1.m1.1.6.2.1.cmml">x</mi>
                <mi id="p1.1.m1.1.6.2.2.1" xref="p1.1.m1.1.6.2.2.1.cmml">n</mi>
              </msub>
              <mn id="p1.1.m1.1.6.3" xref="p1.1.m1.1.6.3.cmml">2</mn>
            </mfrac>
          </mstyle>
        </mpadded>
        <mo mathsize="70%" rspace="4.2pt" stretchy="false" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">+</mo>
        <mstyle scriptlevel="+1" id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">
          <mfrac id="p1.1.m1.1.10a" xref="p1.1.m1.1.10.cmml">
            <mn id="p1.1.m1.1.10.2" xref="p1.1.m1.1.10.2.cmml">1</mn>
            <msub id="p1.1.m1.1.10.3" xref="p1.1.m1.1.10.3.cmml">
              <mi id="p1.1.m1.1.10.3.1" xref="p1.1.m1.1.10.3.1.cmml">x</mi>
              <mi id="p1.1.m1.1.10.3.2.1" xref="p1.1.m1.1.10.3.2.1.cmml">n</mi>
            </msub>
          </mfrac>
        </mstyle>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">
        <eq id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
        <apply id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">
          <csymbol cd="ambiguous" id="p1.1.m1.1.11.1.1.cmml" xref="p1.1.m1.1.11.1">subscript</csymbol>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑥</ci>
          <apply id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">
            <plus id="p1.1.m1.1.2.1.2.cmml" xref="p1.1.m1.1.2.1.2"/>
            <ci id="p1.1.m1.1.2.1.1.cmml" xref="p1.1.m1.1.2.1.1">𝑛</ci>
            <cn type="integer" id="p1.1.m1.1.2.1.3.cmml" xref="p1.1.m1.1.2.1.3">1</cn>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.11.2.cmml" xref="p1.1.m1.1.11.2">
          <plus id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8"/>
          <apply id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">
            <divide id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6"/>
            <apply id="p1.1.m1.1.6.2.cmml" xref="p1.1.m1.1.6.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.6.2.3.cmml" xref="p1.1.m1.1.6.2">subscript</csymbol>
              <ci id="p1.1.m1.1.6.2.1.cmml" xref="p1.1.m1.1.6.2.1">𝑥</ci>
              <ci id="p1.1.m1.1.6.2.2.1.cmml" xref="p1.1.m1.1.6.2.2.1">𝑛</ci>
            </apply>
            <cn type="integer" id="p1.1.m1.1.6.3.cmml" xref="p1.1.m1.1.6.3">2</cn>
          </apply>
          <apply id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">
            <divide id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10"/>
            <cn type="integer" id="p1.1.m1.1.10.2.cmml" xref="p1.1.m1.1.10.2">1</cn>
            <apply id="p1.1.m1.1.10.3.cmml" xref="p1.1.m1.1.10.3">
              <csymbol cd="ambiguous" id="p1.1.m1.1.10.3.3.cmml" xref="p1.1.m1.1.10.3">subscript</csymbol>
              <ci id="p1.1.m1.1.10.3.1.cmml" xref="p1.1.m1.1.10.3.1">𝑥</ci>
              <ci id="p1.1.m1.1.10.3.2.1.cmml" xref="p1.1.m1.1.10.3.2.1">𝑛</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\scriptstyle x_{{n+1}}\;=\;{\frac{x_{n}}{2}}\,+\,{\frac{1}{x_{n}%
}}}</annotation>
  </semantics>
</math>

SVG (5.716 KB / 1.979 KB) :

x Subscript n plus 1 Baseline equals StartFraction x Subscript n Baseline Over 2 EndFraction plus StartFraction 1 Over x Subscript n Baseline EndFraction

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

MathML (1.488 KB / 406 B) :

x n + 1 = x n 2 + 1 x n {\displaystyle \scriptstyle x_{n+1}\;=\;{\frac {x_{n}}{2}}\,+\,{\frac {1}{x_{n}}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle \scriptstyle x_{n+1}\;=\;{\frac {x_{n}}{2}}\,+\,{\frac {1}{x_{n}}}}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mstyle displaystyle="false" scriptlevel="1">
          <msub>
            <mi>x</mi>
            <mrow class="MJX-TeXAtom-ORD">
              <mi>n</mi>
              <mo>+</mo>
              <mn>1</mn>
            </mrow>
          </msub>
          <mspace width="thickmathspace" />
          <mo>=</mo>
          <mspace width="thickmathspace" />
          <mrow class="MJX-TeXAtom-ORD">
            <mfrac>
              <msub>
                <mi>x</mi>
                <mrow class="MJX-TeXAtom-ORD">
                  <mi>n</mi>
                </mrow>
              </msub>
              <mn>2</mn>
            </mfrac>
          </mrow>
          <mspace width="thinmathspace" />
          <mo>+</mo>
          <mspace width="thinmathspace" />
          <mrow class="MJX-TeXAtom-ORD">
            <mfrac>
              <mn>1</mn>
              <msub>
                <mi>x</mi>
                <mrow class="MJX-TeXAtom-ORD">
                  <mi>n</mi>
                </mrow>
              </msub>
            </mfrac>
          </mrow>
        </mstyle>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle \scriptstyle x_{n+1}\;=\;{\frac {x_{n}}{2}}\,+\,{\frac {1}{x_{n}}}}</annotation>
  </semantics>
</math>

SVG (4.362 KB / 1.781 KB) :

{\displaystyle \scriptstyle x_{n+1}\;=\;{\frac {x_{n}}{2}}\,+\,{\frac {1}{x_{n}}}}

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 Complete metric space 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"