Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.812.0 on revision:812

* Page found: Verallgemeinerte Kräfte (eq math.812.0)

(force rerendering)

Occurrences on the following pages:

Hash: 91902de409a4b1b4c10792f34cf017ff

TeX (original user input): 

{{Q}_{j}}:=\sum\limits_{i}{{{\underline{X}}_{i}}{{\partial }_{{{q}_{j}}}}{{\underline{r}}_{i}}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (5.688 KB / 1.06 KB) :

Q j := ∑ i X ¯ i ⁢ ∂ q j ⁡ r ¯ i assign subscript 𝑄 𝑗 subscript 𝑖 subscript ¯ 𝑋 𝑖 subscript subscript 𝑞 𝑗 subscript ¯ 𝑟 𝑖 {\displaystyle{\displaystyle{{Q}_{j}}:=\sum\limits_{i}{{{\underline{X}}_{i}}{{% \partial}_{{{q}_{j}}}}{{\underline{r}}_{i}}}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle{{Q}_{j}}:=\sum\limits_{i}{{{\underline{X}}_{i}}{{%&#10;\partial}_{{{q}_{j}}}}{{\underline{r}}_{i}}}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">
      <msub id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">Q</mi>
        <mi id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">j</mi>
      </msub>
      <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">:=</mo>
      <mrow id="p1.1.m1.1.13.2" xref="p1.1.m1.1.13.2.cmml">
        <mstyle displaystyle="true" id="p1.1.m1.1.13.2.1" xref="p1.1.m1.1.13.2.1.cmml">
          <munder id="p1.1.m1.1.13.2.1a" xref="p1.1.m1.1.13.2.1.cmml">
            <mo largeop="true" movablelimits="false" symmetric="true" id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">∑</mo>
            <mi id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">i</mi>
          </munder>
        </mstyle>
        <mrow id="p1.1.m1.1.13.2.2" xref="p1.1.m1.1.13.2.2.cmml">
          <msub id="p1.1.m1.1.13.2.2.2" xref="p1.1.m1.1.13.2.2.2.cmml">
            <munder accentunder="true" id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">
              <mi id="p1.1.m1.1.7.2" xref="p1.1.m1.1.7.2.cmml">X</mi>
              <mo id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">¯</mo>
            </munder>
            <mi id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">i</mi>
          </msub>
          <mo id="p1.1.m1.1.13.2.2.1" xref="p1.1.m1.1.13.2.2.1.cmml">⁢</mo>
          <mrow id="p1.1.m1.1.13.2.2.3" xref="p1.1.m1.1.13.2.2.3.cmml">
            <msub id="p1.1.m1.1.13.2.2.3.1" xref="p1.1.m1.1.13.2.2.3.1.cmml">
              <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">∂</mo>
              <msub id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">
                <mi id="p1.1.m1.1.10.1.1" xref="p1.1.m1.1.10.1.1.cmml">q</mi>
                <mi id="p1.1.m1.1.10.1.2.1" xref="p1.1.m1.1.10.1.2.1.cmml">j</mi>
              </msub>
            </msub>
            <mo id="p1.1.m1.1.13.2.2.3a" xref="p1.1.m1.1.13.2.2.3.cmml">⁡</mo>
            <msub id="p1.1.m1.1.13.2.2.3.2" xref="p1.1.m1.1.13.2.2.3.2.cmml">
              <munder accentunder="true" id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">
                <mi id="p1.1.m1.1.11.2" xref="p1.1.m1.1.11.2.cmml">r</mi>
                <mo id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">¯</mo>
              </munder>
              <mi id="p1.1.m1.1.12.1" xref="p1.1.m1.1.12.1.cmml">i</mi>
            </msub>
          </mrow>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">
        <csymbol cd="latexml" id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">assign</csymbol>
        <apply id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13.1">
          <csymbol cd="ambiguous" id="p1.1.m1.1.13.1.1.cmml" xref="p1.1.m1.1.13.1">subscript</csymbol>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑄</ci>
          <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">𝑗</ci>
        </apply>
        <apply id="p1.1.m1.1.13.2.cmml" xref="p1.1.m1.1.13.2">
          <apply id="p1.1.m1.1.13.2.1.cmml" xref="p1.1.m1.1.13.2.1">
            <csymbol cd="ambiguous" id="p1.1.m1.1.13.2.1.1.cmml" xref="p1.1.m1.1.13.2.1">subscript</csymbol>
            <sum id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"/>
            <ci id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">𝑖</ci>
          </apply>
          <apply id="p1.1.m1.1.13.2.2.cmml" xref="p1.1.m1.1.13.2.2">
            <times id="p1.1.m1.1.13.2.2.1.cmml" xref="p1.1.m1.1.13.2.2.1"/>
            <apply id="p1.1.m1.1.13.2.2.2.cmml" xref="p1.1.m1.1.13.2.2.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.13.2.2.2.1.cmml" xref="p1.1.m1.1.13.2.2.2">subscript</csymbol>
              <apply id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">
                <ci id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">¯</ci>
                <ci id="p1.1.m1.1.7.2.cmml" xref="p1.1.m1.1.7.2">𝑋</ci>
              </apply>
              <ci id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">𝑖</ci>
            </apply>
            <apply id="p1.1.m1.1.13.2.2.3.cmml" xref="p1.1.m1.1.13.2.2.3">
              <apply id="p1.1.m1.1.13.2.2.3.1.cmml" xref="p1.1.m1.1.13.2.2.3.1">
                <csymbol cd="ambiguous" id="p1.1.m1.1.13.2.2.3.1.1.cmml" xref="p1.1.m1.1.13.2.2.3.1">subscript</csymbol>
                <partialdiff id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9"/>
                <apply id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">
                  <csymbol cd="ambiguous" id="p1.1.m1.1.10.1.3.cmml" xref="p1.1.m1.1.10.1">subscript</csymbol>
                  <ci id="p1.1.m1.1.10.1.1.cmml" xref="p1.1.m1.1.10.1.1">𝑞</ci>
                  <ci id="p1.1.m1.1.10.1.2.1.cmml" xref="p1.1.m1.1.10.1.2.1">𝑗</ci>
                </apply>
              </apply>
              <apply id="p1.1.m1.1.13.2.2.3.2.cmml" xref="p1.1.m1.1.13.2.2.3.2">
                <csymbol cd="ambiguous" id="p1.1.m1.1.13.2.2.3.2.1.cmml" xref="p1.1.m1.1.13.2.2.3.2">subscript</csymbol>
                <apply id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">
                  <ci id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">¯</ci>
                  <ci id="p1.1.m1.1.11.2.cmml" xref="p1.1.m1.1.11.2">𝑟</ci>
                </apply>
                <ci id="p1.1.m1.1.12.1.cmml" xref="p1.1.m1.1.12.1">𝑖</ci>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle{{Q}_{j}}:=\sum\limits_{i}{{{\underline{X}}_{i}}{{%
\partial}_{{{q}_{j}}}}{{\underline{r}}_{i}}}}}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


SVG (MathML kann über ein Browser-Plugin aktiviert werden) rendering

MathML (2.305 KB / 506 B) :

Q j := ∑ i X _ i ∂ q j r _ i {\displaystyle {{Q}_{j}}:=\sum \limits _{i}{{{\underline {X}}_{i}}{{\partial }_{{q}_{j}}}{{\underline {r}}_{i}}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle {{Q}_{j}}:=\sum \limits _{i}{{{\underline {X}}_{i}}{{\partial }_{{q}_{j}}}{{\underline {r}}_{i}}}}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mrow class="MJX-TeXAtom-ORD">
          <msub>
            <mrow class="MJX-TeXAtom-ORD">
              <mi>Q</mi>
            </mrow>
            <mrow class="MJX-TeXAtom-ORD">
              <mi>j</mi>
            </mrow>
          </msub>
        </mrow>
        <mo>:=</mo>
        <munder>
          <mo movablelimits="false">&#x2211;<!-- ∑ --></mo>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>i</mi>
          </mrow>
        </munder>
        <mrow class="MJX-TeXAtom-ORD">
          <mrow class="MJX-TeXAtom-ORD">
            <msub>
              <mrow class="MJX-TeXAtom-ORD">
                <munder>
                  <mi>X</mi>
                  <mo>&#x005F;<!-- _ --></mo>
                </munder>
              </mrow>
              <mrow class="MJX-TeXAtom-ORD">
                <mi>i</mi>
              </mrow>
            </msub>
          </mrow>
          <mrow class="MJX-TeXAtom-ORD">
            <msub>
              <mrow class="MJX-TeXAtom-ORD">
                <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi>
              </mrow>
              <mrow class="MJX-TeXAtom-ORD">
                <msub>
                  <mrow class="MJX-TeXAtom-ORD">
                    <mi>q</mi>
                  </mrow>
                  <mrow class="MJX-TeXAtom-ORD">
                    <mi>j</mi>
                  </mrow>
                </msub>
              </mrow>
            </msub>
          </mrow>
          <mrow class="MJX-TeXAtom-ORD">
            <msub>
              <mrow class="MJX-TeXAtom-ORD">
                <munder>
                  <mi>r</mi>
                  <mo>&#x005F;<!-- _ --></mo>
                </munder>
              </mrow>
              <mrow class="MJX-TeXAtom-ORD">
                <mi>i</mi>
              </mrow>
            </msub>
          </mrow>
        </mrow>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle {{Q}_{j}}:=\sum \limits _{i}{{{\underline {X}}_{i}}{{\partial }_{{q}_{j}}}{{\underline {r}}_{i}}}}</annotation>
  </semantics>
</math>

SVG (7.469 KB / 3.257 KB) :

{\displaystyle {{Q}_{j}}:=\sum \limits _{i}{{{\underline {X}}_{i}}{{\partial }_{{q}_{j}}}{{\underline {r}}_{i}}}}

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 Verallgemeinerte Kräfte page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“