Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.1626.27 on revision:1626

* Page found: Operatoren im Hilbertraum (eq math.1626.27)

(force rerendering)

Occurrences on the following pages:

Hash: e9c1f35d623e0caf0c1cd6e666ef33ef

TeX (original user input):

\int_{-\infty }^{\infty }{dx}\phi {{*}_{m}}(x){{\phi }_{n}}(x)=\int_{-\infty }^{\infty }{dx}\left\langle  m | x \right\rangle \left\langle  x | n \right\rangle =\left\langle  m | n \right\rangle ={{\delta }_{mn}}

TeX (checked):

\int _{-\infty }^{\infty }{dx}\phi {{*}_{m}}(x){{\phi }_{n}}(x)=\int _{-\infty }^{\infty }{dx}\left\langle m|x\right\rangle \left\langle x|n\right\rangle =\left\langle m|n\right\rangle ={{\delta }_{mn}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (12.743 KB / 1.792 KB) :

- 𝑑 x ϕ * m ( x ) ϕ n ( x ) = - 𝑑 x m | x x | n = m | n = δ m n superscript subscript subscript 𝑚 differential-d 𝑥 italic-ϕ 𝑥 subscript italic-ϕ 𝑛 𝑥 superscript subscript differential-d 𝑥 inner-product 𝑚 𝑥 inner-product 𝑥 𝑛 inner-product 𝑚 𝑛 subscript 𝛿 𝑚 𝑛 {\displaystyle{\displaystyle\int_{-\infty}^{\infty}{dx}\phi{{*}_{m}}(x){{\phi}% _{n}}(x)=\int_{-\infty}^{\infty}{dx}\left\langle m|x\right\rangle\left\langle x% |n\right\rangle=\left\langle m|n\right\rangle={{\delta}_{mn}}}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\int_{-\infty}^{\infty}{dx}\phi{{*}_{m}}(x){{\phi}%&#10;_{n}}(x)=\int_{-\infty}^{\infty}{dx}\left\langle m|x\right\rangle\left\langle x%&#10;|n\right\rangle=\left\langle m|n\right\rangle={{\delta}_{mn}}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.42" xref="p1.1.m1.1.42.cmml">
      <mrow id="p1.1.m1.1.42.2" xref="p1.1.m1.1.42.2.cmml">
        <mstyle displaystyle="true" id="p1.1.m1.1.42.2.1" xref="p1.1.m1.1.42.2.1.cmml">
          <msubsup id="p1.1.m1.1.42.2.1a" xref="p1.1.m1.1.42.2.1.cmml">
            <mo largeop="true" symmetric="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml"></mo>
            <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 mathvariant="normal" id="p1.1.m1.1.2.1.2" xref="p1.1.m1.1.2.1.2.cmml"></mi>
            </mrow>
            <mi mathvariant="normal" id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml"></mi>
          </msubsup>
        </mstyle>
        <mrow id="p1.1.m1.1.42.2.2" xref="p1.1.m1.1.42.2.2.cmml">
          <mrow id="p1.1.m1.1.42.2.2.2" xref="p1.1.m1.1.42.2.2.2.cmml">
            <mrow id="p1.1.m1.1.42.2.2.2.2" xref="p1.1.m1.1.42.2.2.2.2.cmml">
              <mrow id="p1.1.m1.1.42.2.2.2.2.2" xref="p1.1.m1.1.42.2.2.2.2.2.cmml">
                <mo rspace="0pt" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">𝑑</mo>
                <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">x</mi>
              </mrow>
              <mo id="p1.1.m1.1.42.2.2.2.2.1" xref="p1.1.m1.1.42.2.2.2.2.1.cmml"></mo>
              <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">ϕ</mi>
            </mrow>
            <msub id="p1.1.m1.1.42.2.2.2.1" xref="p1.1.m1.1.42.2.2.2.1.cmml">
              <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">*</mo>
              <mi id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">m</mi>
            </msub>
            <mrow id="p1.1.m1.1.42.2.2.2.3" xref="p1.1.m1.1.42.2.2.2.cmml">
              <mo stretchy="false" id="p1.1.m1.1.9" xref="p1.1.m1.1.42.2.2.2.cmml">(</mo>
              <mi id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">x</mi>
              <mo stretchy="false" id="p1.1.m1.1.11" xref="p1.1.m1.1.42.2.2.2.cmml">)</mo>
            </mrow>
          </mrow>
          <mo id="p1.1.m1.1.42.2.2.1" xref="p1.1.m1.1.42.2.2.1.cmml"></mo>
          <msub id="p1.1.m1.1.42.2.2.3" xref="p1.1.m1.1.42.2.2.3.cmml">
            <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">ϕ</mi>
            <mi id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">n</mi>
          </msub>
          <mo id="p1.1.m1.1.42.2.2.1a" xref="p1.1.m1.1.42.2.2.1.cmml"></mo>
          <mrow id="p1.1.m1.1.42.2.2.4" xref="p1.1.m1.1.42.2.2.cmml">
            <mo stretchy="false" id="p1.1.m1.1.14" xref="p1.1.m1.1.42.2.2.cmml">(</mo>
            <mi id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">x</mi>
            <mo stretchy="false" id="p1.1.m1.1.16" xref="p1.1.m1.1.42.2.2.cmml">)</mo>
          </mrow>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">=</mo>
      <mrow id="p1.1.m1.1.42.3" xref="p1.1.m1.1.42.3.cmml">
        <mstyle displaystyle="true" id="p1.1.m1.1.42.3.1" xref="p1.1.m1.1.42.3.1.cmml">
          <msubsup id="p1.1.m1.1.42.3.1a" xref="p1.1.m1.1.42.3.1.cmml">
            <mo largeop="true" symmetric="true" id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml"></mo>
            <mrow id="p1.1.m1.1.19.1" xref="p1.1.m1.1.19.1.cmml">
              <mo id="p1.1.m1.1.19.1.1" xref="p1.1.m1.1.19.1.1.cmml">-</mo>
              <mi mathvariant="normal" id="p1.1.m1.1.19.1.2" xref="p1.1.m1.1.19.1.2.cmml"></mi>
            </mrow>
            <mi mathvariant="normal" id="p1.1.m1.1.20.1" xref="p1.1.m1.1.20.1.cmml"></mi>
          </msubsup>
        </mstyle>
        <mrow id="p1.1.m1.1.42.3.2" xref="p1.1.m1.1.42.3.2.cmml">
          <mrow id="p1.1.m1.1.42.3.2.2" xref="p1.1.m1.1.42.3.2.2.cmml">
            <mo rspace="0pt" id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">𝑑</mo>
            <mi id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">x</mi>
          </mrow>
          <mo id="p1.1.m1.1.42.3.2.1" xref="p1.1.m1.1.42.3.2.1.cmml"></mo>
          <mrow id="p1.1.m1.1.42.3.2.3" xref="p1.1.m1.1.42.3.2.3.1.cmml">
            <mo id="p1.1.m1.1.23" xref="p1.1.m1.1.42.3.2.3.1.1.cmml"></mo>
            <mi id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">m</mi>
            <mo stretchy="false" id="p1.1.m1.1.25" xref="p1.1.m1.1.42.3.2.3.1.1.cmml">|</mo>
            <mi id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">x</mi>
            <mo id="p1.1.m1.1.27" xref="p1.1.m1.1.42.3.2.3.1.1.cmml"></mo>
          </mrow>
          <mo id="p1.1.m1.1.42.3.2.1a" xref="p1.1.m1.1.42.3.2.1.cmml"></mo>
          <mrow id="p1.1.m1.1.42.3.2.4" xref="p1.1.m1.1.42.3.2.4.1.cmml">
            <mo id="p1.1.m1.1.28" xref="p1.1.m1.1.42.3.2.4.1.1.cmml"></mo>
            <mi id="p1.1.m1.1.29" xref="p1.1.m1.1.29.cmml">x</mi>
            <mo stretchy="false" id="p1.1.m1.1.30" xref="p1.1.m1.1.42.3.2.4.1.1.cmml">|</mo>
            <mi id="p1.1.m1.1.31" xref="p1.1.m1.1.31.cmml">n</mi>
            <mo id="p1.1.m1.1.32" xref="p1.1.m1.1.42.3.2.4.1.1.cmml"></mo>
          </mrow>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.33" xref="p1.1.m1.1.33.cmml">=</mo>
      <mrow id="p1.1.m1.1.42.4" xref="p1.1.m1.1.42.4.1.cmml">
        <mo id="p1.1.m1.1.34" xref="p1.1.m1.1.42.4.1.1.cmml"></mo>
        <mi id="p1.1.m1.1.35" xref="p1.1.m1.1.35.cmml">m</mi>
        <mo stretchy="false" id="p1.1.m1.1.36" xref="p1.1.m1.1.42.4.1.1.cmml">|</mo>
        <mi id="p1.1.m1.1.37" xref="p1.1.m1.1.37.cmml">n</mi>
        <mo id="p1.1.m1.1.38" xref="p1.1.m1.1.42.4.1.1.cmml"></mo>
      </mrow>
      <mo id="p1.1.m1.1.39" xref="p1.1.m1.1.39.cmml">=</mo>
      <msub id="p1.1.m1.1.42.5" xref="p1.1.m1.1.42.5.cmml">
        <mi id="p1.1.m1.1.40" xref="p1.1.m1.1.40.cmml">δ</mi>
        <mrow id="p1.1.m1.1.41.1" xref="p1.1.m1.1.41.1.cmml">
          <mi id="p1.1.m1.1.41.1.1" xref="p1.1.m1.1.41.1.1.cmml">m</mi>
          <mo id="p1.1.m1.1.41.1.3" xref="p1.1.m1.1.41.1.3.cmml"></mo>
          <mi id="p1.1.m1.1.41.1.2" xref="p1.1.m1.1.41.1.2.cmml">n</mi>
        </mrow>
      </msub>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.42.cmml" xref="p1.1.m1.1.42">
        <and id="p1.1.m1.1.42a.cmml" xref="p1.1.m1.1.42"/>
        <apply id="p1.1.m1.1.42b.cmml" xref="p1.1.m1.1.42">
          <eq id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17"/>
          <apply id="p1.1.m1.1.42.2.cmml" xref="p1.1.m1.1.42.2">
            <apply id="p1.1.m1.1.42.2.1.cmml" xref="p1.1.m1.1.42.2.1">
              <csymbol cd="ambiguous" id="p1.1.m1.1.42.2.1.1.cmml" xref="p1.1.m1.1.42.2.1">superscript</csymbol>
              <apply id="p1.1.m1.1.42.2.1.2.cmml" xref="p1.1.m1.1.42.2.1">
                <csymbol cd="ambiguous" id="p1.1.m1.1.42.2.1.2.1.cmml" xref="p1.1.m1.1.42.2.1">subscript</csymbol>
                <int id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"/>
                <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"/>
                  <infinity id="p1.1.m1.1.2.1.2.cmml" xref="p1.1.m1.1.2.1.2"/>
                </apply>
              </apply>
              <infinity id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1"/>
            </apply>
            <apply id="p1.1.m1.1.42.2.2.cmml" xref="p1.1.m1.1.42.2.2">
              <times id="p1.1.m1.1.42.2.2.1.cmml" xref="p1.1.m1.1.42.2.2.1"/>
              <apply id="p1.1.m1.1.42.2.2.2.cmml" xref="p1.1.m1.1.42.2.2.2">
                <apply id="p1.1.m1.1.42.2.2.2.1.cmml" xref="p1.1.m1.1.42.2.2.2.1">
                  <csymbol cd="ambiguous" id="p1.1.m1.1.42.2.2.2.1.1.cmml" xref="p1.1.m1.1.42.2.2.2.1">subscript</csymbol>
                  <times id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
                  <ci id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">𝑚</ci>
                </apply>
                <apply id="p1.1.m1.1.42.2.2.2.2.cmml" xref="p1.1.m1.1.42.2.2.2.2">
                  <times id="p1.1.m1.1.42.2.2.2.2.1.cmml" xref="p1.1.m1.1.42.2.2.2.2.1"/>
                  <apply id="p1.1.m1.1.42.2.2.2.2.2.cmml" xref="p1.1.m1.1.42.2.2.2.2.2">
                    <csymbol cd="latexml" id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">differential-d</csymbol>
                    <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝑥</ci>
                  </apply>
                  <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">italic-ϕ</ci>
                </apply>
                <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">𝑥</ci>
              </apply>
              <apply id="p1.1.m1.1.42.2.2.3.cmml" xref="p1.1.m1.1.42.2.2.3">
                <csymbol cd="ambiguous" id="p1.1.m1.1.42.2.2.3.1.cmml" xref="p1.1.m1.1.42.2.2.3">subscript</csymbol>
                <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">italic-ϕ</ci>
                <ci id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13.1">𝑛</ci>
              </apply>
              <ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">𝑥</ci>
            </apply>
          </apply>
          <apply id="p1.1.m1.1.42.3.cmml" xref="p1.1.m1.1.42.3">
            <apply id="p1.1.m1.1.42.3.1.cmml" xref="p1.1.m1.1.42.3.1">
              <csymbol cd="ambiguous" id="p1.1.m1.1.42.3.1.1.cmml" xref="p1.1.m1.1.42.3.1">superscript</csymbol>
              <apply id="p1.1.m1.1.42.3.1.2.cmml" xref="p1.1.m1.1.42.3.1">
                <csymbol cd="ambiguous" id="p1.1.m1.1.42.3.1.2.1.cmml" xref="p1.1.m1.1.42.3.1">subscript</csymbol>
                <int id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18"/>
                <apply id="p1.1.m1.1.19.1.cmml" xref="p1.1.m1.1.19.1">
                  <minus id="p1.1.m1.1.19.1.1.cmml" xref="p1.1.m1.1.19.1.1"/>
                  <infinity id="p1.1.m1.1.19.1.2.cmml" xref="p1.1.m1.1.19.1.2"/>
                </apply>
              </apply>
              <infinity id="p1.1.m1.1.20.1.cmml" xref="p1.1.m1.1.20.1"/>
            </apply>
            <apply id="p1.1.m1.1.42.3.2.cmml" xref="p1.1.m1.1.42.3.2">
              <times id="p1.1.m1.1.42.3.2.1.cmml" xref="p1.1.m1.1.42.3.2.1"/>
              <apply id="p1.1.m1.1.42.3.2.2.cmml" xref="p1.1.m1.1.42.3.2.2">
                <csymbol cd="latexml" id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">differential-d</csymbol>
                <ci id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">𝑥</ci>
              </apply>
              <apply id="p1.1.m1.1.42.3.2.3.1.cmml" xref="p1.1.m1.1.42.3.2.3">
                <csymbol cd="latexml" id="p1.1.m1.1.42.3.2.3.1.1.cmml" xref="p1.1.m1.1.23">inner-product</csymbol>
                <ci id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">𝑚</ci>
                <ci id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26">𝑥</ci>
              </apply>
              <apply id="p1.1.m1.1.42.3.2.4.1.cmml" xref="p1.1.m1.1.42.3.2.4">
                <csymbol cd="latexml" id="p1.1.m1.1.42.3.2.4.1.1.cmml" xref="p1.1.m1.1.28">inner-product</csymbol>
                <ci id="p1.1.m1.1.29.cmml" xref="p1.1.m1.1.29">𝑥</ci>
                <ci id="p1.1.m1.1.31.cmml" xref="p1.1.m1.1.31">𝑛</ci>
              </apply>
            </apply>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.42c.cmml" xref="p1.1.m1.1.42">
          <eq id="p1.1.m1.1.33.cmml" xref="p1.1.m1.1.33"/>
          <share href="#p1.1.m1.1.42.3.cmml" id="p1.1.m1.1.42d.cmml" xref="p1.1.m1.1.42"/>
          <apply id="p1.1.m1.1.42.4.1.cmml" xref="p1.1.m1.1.42.4">
            <csymbol cd="latexml" id="p1.1.m1.1.42.4.1.1.cmml" xref="p1.1.m1.1.34">inner-product</csymbol>
            <ci id="p1.1.m1.1.35.cmml" xref="p1.1.m1.1.35">𝑚</ci>
            <ci id="p1.1.m1.1.37.cmml" xref="p1.1.m1.1.37">𝑛</ci>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.42e.cmml" xref="p1.1.m1.1.42">
          <eq id="p1.1.m1.1.39.cmml" xref="p1.1.m1.1.39"/>
          <share href="#p1.1.m1.1.42.4.cmml" id="p1.1.m1.1.42f.cmml" xref="p1.1.m1.1.42"/>
          <apply id="p1.1.m1.1.42.5.cmml" xref="p1.1.m1.1.42.5">
            <csymbol cd="ambiguous" id="p1.1.m1.1.42.5.1.cmml" xref="p1.1.m1.1.42.5">subscript</csymbol>
            <ci id="p1.1.m1.1.40.cmml" xref="p1.1.m1.1.40">𝛿</ci>
            <apply id="p1.1.m1.1.41.1.cmml" xref="p1.1.m1.1.41.1">
              <times id="p1.1.m1.1.41.1.3.cmml" xref="p1.1.m1.1.41.1.3"/>
              <ci id="p1.1.m1.1.41.1.1.cmml" xref="p1.1.m1.1.41.1.1">𝑚</ci>
              <ci id="p1.1.m1.1.41.1.2.cmml" xref="p1.1.m1.1.41.1.2">𝑛</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\int_{-\infty}^{\infty}{dx}\phi{{*}_{m}}(x){{\phi}%
_{n}}(x)=\int_{-\infty}^{\infty}{dx}\left\langle m|x\right\rangle\left\langle x%
|n\right\rangle=\left\langle m|n\right\rangle={{\delta}_{mn}}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (1.776 KB / 375 B) :

dxϕ*m(x)ϕn(x)=dxm|xx|n=m|n=δmn
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi mathvariant="normal">&#x221E;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">&#x221E;</mi></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>x</mi></mrow><mi>&#x03D5;</mi><msub><mo>*</mo><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><msub><mi>&#x03D5;</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi mathvariant="normal">&#x221E;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">&#x221E;</mi></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>x</mi></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><mi>m</mi><mo>|</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><mi>x</mi><mo>|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><mi>m</mi><mo>|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><msub><mi>&#x03B4;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>n</mi></mrow></mrow></msub></mstyle></mrow></math>

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 Operatoren im Hilbertraum page

Identifiers

  • x
  • ϕ
  • m
  • x
  • ϕn
  • x
  • x
  • m
  • x
  • x
  • n
  • m
  • n
  • δmn

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results