Jump to navigation Jump to search

General

Display information for equation id:math.239174.8 on revision:239174

* Page found: Nth root algorithm (eq math.239174.8)

(force rerendering)

Occurrences on the following pages:

Hash: 3becc972ac101b09e9d5f720b1f9bc11

TeX (original user input):

x_{k+1} = \frac{1}{2}\left(x_k + \frac{A}{x_k}\right)

TeX (checked):

x_{k+1}={\frac {1}{2}}\left(x_{k}+{\frac {A}{x_{k}}}\right)

LaTeXML (experimental; uses MathML) rendering

MathML (4.726 KB / 947 B) :

x k + 1 = 1 2 ( x k + A x k ) subscript 𝑥 𝑘 1 1 2 subscript 𝑥 𝑘 𝐴 subscript 𝑥 𝑘 {\displaystyle x_{{k+1}}={\frac{1}{2}}\left(x_{k}+{\frac{A}{x_{k}}}\right)}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle x_{{k+1}}={\frac{1}{2}}\left(x_{k}+{\frac{A}{x_{k}}}\right)}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">
      <msub id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">
        <mi 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 id="p1.1.m1.1.2.1.1" xref="p1.1.m1.1.2.1.1.cmml">k</mi>
          <mo id="p1.1.m1.1.2.1.2" xref="p1.1.m1.1.2.1.2.cmml">+</mo>
          <mn id="p1.1.m1.1.2.1.3" xref="p1.1.m1.1.2.1.3.cmml">1</mn>
        </mrow>
      </msub>
      <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">=</mo>
      <mrow id="p1.1.m1.1.11.2" xref="p1.1.m1.1.11.2.cmml">
        <mstyle displaystyle="true" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">
          <mfrac id="p1.1.m1.1.4a" xref="p1.1.m1.1.4.cmml">
            <mn id="p1.1.m1.1.4.2" xref="p1.1.m1.1.4.2.cmml">1</mn>
            <mn id="p1.1.m1.1.4.3" xref="p1.1.m1.1.4.3.cmml">2</mn>
          </mfrac>
        </mstyle>
        <mo id="p1.1.m1.1.11.2.1" xref="p1.1.m1.1.11.2.1.cmml"></mo>
        <mrow id="p1.1.m1.1.11.2.2" xref="p1.1.m1.1.11.2.2.2.cmml">
          <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.11.2.2.2.cmml">(</mo>
          <mrow id="p1.1.m1.1.11.2.2.2" xref="p1.1.m1.1.11.2.2.2.cmml">
            <msub id="p1.1.m1.1.11.2.2.2.1" xref="p1.1.m1.1.11.2.2.2.1.cmml">
              <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">x</mi>
              <mi id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">k</mi>
            </msub>
            <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">+</mo>
            <mstyle displaystyle="true" id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">
              <mfrac id="p1.1.m1.1.9a" xref="p1.1.m1.1.9.cmml">
                <mi id="p1.1.m1.1.9.2" xref="p1.1.m1.1.9.2.cmml">A</mi>
                <msub id="p1.1.m1.1.9.3" xref="p1.1.m1.1.9.3.cmml">
                  <mi id="p1.1.m1.1.9.3.1" xref="p1.1.m1.1.9.3.1.cmml">x</mi>
                  <mi id="p1.1.m1.1.9.3.2.1" xref="p1.1.m1.1.9.3.2.1.cmml">k</mi>
                </msub>
              </mfrac>
            </mstyle>
          </mrow>
          <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.11.2.2.2.cmml">)</mo>
        </mrow>
      </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.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
        <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">𝑘</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">
          <times id="p1.1.m1.1.11.2.1.cmml" xref="p1.1.m1.1.11.2.1"/>
          <apply id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">
            <divide id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4"/>
            <cn type="integer" id="p1.1.m1.1.4.2.cmml" xref="p1.1.m1.1.4.2">1</cn>
            <cn type="integer" id="p1.1.m1.1.4.3.cmml" xref="p1.1.m1.1.4.3">2</cn>
          </apply>
          <apply id="p1.1.m1.1.11.2.2.2.cmml" xref="p1.1.m1.1.11.2.2">
            <plus id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8"/>
            <apply id="p1.1.m1.1.11.2.2.2.1.cmml" xref="p1.1.m1.1.11.2.2.2.1">
              <csymbol cd="ambiguous" id="p1.1.m1.1.11.2.2.2.1.1.cmml" xref="p1.1.m1.1.11.2.2.2.1">subscript</csymbol>
              <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">𝑥</ci>
              <ci id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">𝑘</ci>
            </apply>
            <apply id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">
              <divide id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9"/>
              <ci id="p1.1.m1.1.9.2.cmml" xref="p1.1.m1.1.9.2">𝐴</ci>
              <apply id="p1.1.m1.1.9.3.cmml" xref="p1.1.m1.1.9.3">
                <csymbol cd="ambiguous" id="p1.1.m1.1.9.3.3.cmml" xref="p1.1.m1.1.9.3">subscript</csymbol>
                <ci id="p1.1.m1.1.9.3.1.cmml" xref="p1.1.m1.1.9.3.1">𝑥</ci>
                <ci id="p1.1.m1.1.9.3.2.1.cmml" xref="p1.1.m1.1.9.3.2.1">𝑘</ci>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle x_{{k+1}}={\frac{1}{2}}\left(x_{k}+{\frac{A}{x_{k}}}\right)}</annotation>
  </semantics>
</math>

SVG (8.094 KB / 3.035 KB) :

x Subscript k plus 1 Baseline equals one-half times left-parenthesis x Subscript k Baseline plus StartFraction upper A Over x Subscript k Baseline EndFraction right-parenthesis

SVG (MathML can be enabled via browser plugin) rendering

MathML (1.347 KB / 401 B) :

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

SVG (6.499 KB / 2.794 KB) :

{\displaystyle x_{k+1}={\frac {1}{2}}\left(x_{k}+{\frac {A}{x_{k}}}\right)}

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 Nth root algorithm page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results