ag-gipp/GoUldI

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data/mathoid/247.mml

Summary

Maintainability
Test Coverage
<math 
  xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="partial-differential Superscript gamma ModifyingAbove gamma With dot Baseline partial-differential Subscript gamma ModifyingAbove gamma With dot Baseline phi Subscript alpha 1 period period period alpha Sub Subscript k Subscript ModifyingAbove beta With dot Sub Subscript 1 Subscript period period period ModifyingAbove beta With dot Sub Subscript n Subscript Superscript left-parenthesis k comma n right-parenthesis Baseline equals 2 e squared m squared x Superscript alpha Super Subscript k plus 1 Superscript ModifyingAbove beta With dot Super Subscript n plus 1 Baseline x Superscript alpha Super Subscript k plus 2 Superscript ModifyingAbove beta With dot Super Subscript n plus 2 Baseline phi Subscript alpha 1 period period period alpha Sub Subscript k Subscript alpha Sub Subscript k plus 1 Subscript alpha Sub Subscript k plus 2 Subscript ModifyingAbove beta With dot Sub Subscript 1 Subscript period period period ModifyingAbove beta With dot Sub Subscript n Subscript ModifyingAbove beta With dot Sub Subscript n plus 1 Subscript ModifyingAbove beta With dot Sub Subscript n plus 2 Subscript Superscript left-parenthesis k plus 2 comma n plus 2 right-parenthesis">
  <semantics>
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              <!-- γ -->
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                    <!-- γ -->
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                    <!-- ˙ -->
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                      <!-- γ -->
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                <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="17" data-semantic-parent="19">α
                  <!-- α -->
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              <mo data-semantic-type="punctuation" data-semantic-role="fullstop" data-semantic-id="20" data-semantic-parent="41" data-semantic-operator="punctuated">.</mo>
              <mo data-semantic-type="punctuation" data-semantic-role="fullstop" data-semantic-id="21" data-semantic-parent="41" data-semantic-operator="punctuated">.</mo>
              <mo data-semantic-type="punctuation" data-semantic-role="fullstop" data-semantic-id="22" data-semantic-parent="41" data-semantic-operator="punctuated">.</mo>
              <mrow data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-id="40" data-semantic-children="25,30" data-semantic-content="39" data-semantic-parent="41">
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                  <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="23" data-semantic-parent="25">α
                    <!-- α -->
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                    <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="24" data-semantic-parent="25">k</mi>
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                <mspace width="thinmathspace"/>
                <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="39" data-semantic-parent="40" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
                <msub data-semantic-type="subscript" data-semantic-role="greekletter" data-semantic-id="30" data-semantic-children="28,29" data-semantic-parent="40">
                  <mrow class="MJX-TeXAtom-ORD">
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                        <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="26" data-semantic-parent="28">β
                          <!-- β -->
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                        <mo data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="27" data-semantic-parent="28">˙
                          <!-- ˙ -->
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                    <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="29" data-semantic-parent="30">1</mn>
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              <mo data-semantic-type="punctuation" data-semantic-role="fullstop" data-semantic-id="31" data-semantic-parent="41" data-semantic-operator="punctuated">.</mo>
              <mo data-semantic-type="punctuation" data-semantic-role="fullstop" data-semantic-id="32" data-semantic-parent="41" data-semantic-operator="punctuated">.</mo>
              <mo data-semantic-type="punctuation" data-semantic-role="fullstop" data-semantic-id="33" data-semantic-parent="41" data-semantic-operator="punctuated">.</mo>
              <msub data-semantic-type="subscript" data-semantic-role="greekletter" data-semantic-id="38" data-semantic-children="36,37" data-semantic-parent="41">
                <mrow class="MJX-TeXAtom-ORD">
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                      <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="34" data-semantic-parent="36">β
                        <!-- β -->
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                      <mo data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="35" data-semantic-parent="36">˙
                        <!-- ˙ -->
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                  <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="37" data-semantic-parent="38">n</mi>
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              <mo stretchy="false" data-semantic-type="fence" data-semantic-role="open" data-semantic-id="42" data-semantic-parent="48" data-semantic-operator="fenced">(</mo>
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                <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="43" data-semantic-parent="47">k</mi>
                <mo data-semantic-type="punctuation" data-semantic-role="comma" data-semantic-id="44" data-semantic-parent="47" data-semantic-operator="punctuated">,</mo>
                <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="45" data-semantic-parent="47">n</mi>
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              <mo stretchy="false" data-semantic-type="fence" data-semantic-role="close" data-semantic-id="46" data-semantic-parent="48" data-semantic-operator="fenced">)</mo>
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        <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="52" data-semantic-parent="178">2</mn>
        <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="173" data-semantic-parent="178" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
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        <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="174" data-semantic-parent="178" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
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          <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="56" data-semantic-parent="58">m</mi>
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            <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="57" data-semantic-parent="58">2</mn>
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        <mspace width="thinmathspace"/>
        <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="175" data-semantic-parent="178" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
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          <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="59" data-semantic-parent="76">x</mi>
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              <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="60" data-semantic-parent="65">α
                <!-- α -->
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                <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="61" data-semantic-parent="64">k</mi>
                <mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="62" data-semantic-parent="64" data-semantic-operator="infixop,+">+</mo>
                <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="63" data-semantic-parent="64">1</mn>
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            <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="74" data-semantic-parent="75" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
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                    <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="66" data-semantic-parent="68">β
                      <!-- β -->
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                    <mo data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="67" data-semantic-parent="68">˙
                      <!-- ˙ -->
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              <mrow class="MJX-TeXAtom-ORD" data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="72" data-semantic-children="69,71" data-semantic-content="70" data-semantic-parent="73">
                <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="69" data-semantic-parent="72">n</mi>
                <mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="70" data-semantic-parent="72" data-semantic-operator="infixop,+">+</mo>
                <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="71" data-semantic-parent="72">1</mn>
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        <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="176" data-semantic-parent="178" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
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          <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="77" data-semantic-parent="94">x</mi>
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            <msub data-semantic-type="subscript" data-semantic-role="greekletter" data-semantic-id="83" data-semantic-children="78,82" data-semantic-parent="93">
              <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="78" data-semantic-parent="83">α
                <!-- α -->
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              <mrow class="MJX-TeXAtom-ORD" data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="82" data-semantic-children="79,81" data-semantic-content="80" data-semantic-parent="83">
                <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="79" data-semantic-parent="82">k</mi>
                <mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="80" data-semantic-parent="82" data-semantic-operator="infixop,+">+</mo>
                <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="81" data-semantic-parent="82">2</mn>
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            <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="92" data-semantic-parent="93" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
            <msub data-semantic-type="subscript" data-semantic-role="greekletter" data-semantic-id="91" data-semantic-children="86,90" data-semantic-parent="93">
              <mrow class="MJX-TeXAtom-ORD">
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                  <mover data-semantic-type="overscore" data-semantic-role="greekletter" data-semantic-id="86" data-semantic-children="84,85" data-semantic-parent="91">
                    <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="84" data-semantic-parent="86">β
                      <!-- β -->
                    </mi>
                    <mo data-semantic-type="operator" data-semantic-role="overaccent" data-semantic-id="85" data-semantic-parent="86">˙
                      <!-- ˙ -->
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              <mrow class="MJX-TeXAtom-ORD" data-semantic-type="infixop" data-semantic-role="addition" data-semantic-id="90" data-semantic-children="87,89" data-semantic-content="88" data-semantic-parent="91">
                <mi data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-id="87" data-semantic-parent="90">n</mi>
                <mo data-semantic-type="operator" data-semantic-role="addition" data-semantic-id="88" data-semantic-parent="90" data-semantic-operator="infixop,+">+</mo>
                <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="89" data-semantic-parent="90">2</mn>
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        <mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-id="177" data-semantic-parent="178" data-semantic-added="true" data-semantic-operator="infixop,⁢">⁢</mo>
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          <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="95" data-semantic-parent="168">ϕ
            <!-- ϕ -->
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              <mi data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="italic" data-semantic-id="96" data-semantic-parent="98">α
                <!-- α -->
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                <mn data-semantic-type="number" data-semantic-role="integer" data-semantic-font="normal" data-semantic-id="97" data-semantic-parent="98">1</mn>
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    <annotation encoding="application/x-tex">\partial ^{\gamma {\dot {\gamma }}}\partial _{\gamma {\dot {\gamma }}}\,\phi _{\alpha _{1}...\alpha _{k}\,{\dot {\beta }}_{1}...{\dot {\beta }}_{n}}^{(k,n)}=2e^{2}m^{2}\,x^{\alpha _{k+1}{\dot {\beta }}_{n+1}}\,x^{\alpha _{k+2}{\dot {\beta }}_{n+2}}\,\phi _{\alpha _{1}...\alpha _{k}\alpha _{k+1}\alpha _{k+2}\,{\dot {\beta }}_{1}...{\dot {\beta }}_{n}{\dot {\beta }}_{n+1}{\dot {\beta }}_{n+2}}^{(k+2,n+2)}</annotation>
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