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Display information for equation id:math.231476.7 on revision:231476

* Page found: Circle group (eq math.231476.7)

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Occurrences on the following pages:

Hash: 9f237c79833b594ca1d954f018e90067

TeX (original user input):

\phi_{-n} = \overline{\phi_n}. \,

TeX (checked):

\phi _{-n}={\overline {\phi _{n}}}.\,

LaTeXML (experimental; uses MathML) rendering

MathML (2.484 KB / 627 B) :

ϕ - n = ϕ n ¯ . subscript italic-ϕ 𝑛 ¯ subscript italic-ϕ 𝑛 {\displaystyle\phi_{{-n}}={\overline{\phi_{n}}}.\,}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\phi_{{-n}}={\overline{\phi_{n}}}.\,}" display="inline">
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    <mrow id="p1.1.m1.1.7" xref="p1.1.m1.1.7.2.cmml">
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          <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">ϕ</mi>
          <mrow id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">
            <mo id="p1.1.m1.1.2.1.1" xref="p1.1.m1.1.2.1.1.cmml">-</mo>
            <mi id="p1.1.m1.1.2.1.2" xref="p1.1.m1.1.2.1.2.cmml">n</mi>
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            <mi id="p1.1.m1.1.4.2.1" xref="p1.1.m1.1.4.2.1.cmml">ϕ</mi>
            <mi id="p1.1.m1.1.4.2.2.1" xref="p1.1.m1.1.4.2.2.1.cmml">n</mi>
          </msub>
          <mo id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">¯</mo>
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      </mrow>
      <mo rspace="4.2pt" id="p1.1.m1.1.5" xref="p1.1.m1.1.7.2.cmml">.</mo>
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      <apply id="p1.1.m1.1.7.2.cmml" xref="p1.1.m1.1.7">
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          <csymbol cd="ambiguous" id="p1.1.m1.1.7.2.1.1.cmml" xref="p1.1.m1.1.7.2.1">subscript</csymbol>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">italic-ϕ</ci>
          <apply id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">
            <minus id="p1.1.m1.1.2.1.1.cmml" xref="p1.1.m1.1.2.1.1"/>
            <ci id="p1.1.m1.1.2.1.2.cmml" xref="p1.1.m1.1.2.1.2">𝑛</ci>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">
          <ci id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">¯</ci>
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            <csymbol cd="ambiguous" id="p1.1.m1.1.4.2.3.cmml" xref="p1.1.m1.1.4.2">subscript</csymbol>
            <ci id="p1.1.m1.1.4.2.1.cmml" xref="p1.1.m1.1.4.2.1">italic-ϕ</ci>
            <ci id="p1.1.m1.1.4.2.2.1.cmml" xref="p1.1.m1.1.4.2.2.1">𝑛</ci>
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    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\phi_{{-n}}={\overline{\phi_{n}}}.\,}</annotation>
  </semantics>
</math>

SVG (3.953 KB / 1.524 KB) :

phi Subscript negative n Baseline equals phi Subscript n Baseline overbar period

SVG (MathML can be enabled via browser plugin) rendering

MathML (989 B / 403 B) :

ϕ n = ϕ n ¯ . {\displaystyle \phi _{-n}={\overline {\phi _{n}}}.\,}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle \phi _{-n}={\overline {\phi _{n}}}.\,}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <msub>
          <mi>&#x03D5;<!-- ϕ --></mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mo>&#x2212;<!-- − --></mo>
            <mi>n</mi>
          </mrow>
        </msub>
        <mo>=</mo>
        <mrow class="MJX-TeXAtom-ORD">
          <mover>
            <msub>
              <mi>&#x03D5;<!-- ϕ --></mi>
              <mrow class="MJX-TeXAtom-ORD">
                <mi>n</mi>
              </mrow>
            </msub>
            <mo accent="false">&#x00AF;<!-- ¯ --></mo>
          </mover>
        </mrow>
        <mo>.</mo>
        <mspace width="thinmathspace" />
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle \phi _{-n}={\overline {\phi _{n}}}.\,}</annotation>
  </semantics>
</math>

SVG (3.265 KB / 1.403 KB) :

{\displaystyle \phi _{-n}={\overline {\phi _{n}}}.\,}

Translations to Computer Algebra Systems

Translation to Maple

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Translation to Mathematica

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