Jump to navigation Jump to search

General

Display information for equation id:math.222977.0 on revision:222977

* Page found: Newton's laws of motion (eq math.222977.0)

(force rerendering)

Cannot find the equation data in the database. Fetching from revision text.

Occurrences on the following pages:

Hash: 532fe5df6925f1724acb6b634b6febad

TeX (original user input):

\sum \mathbf{F} = 0\; \Leftrightarrow\; \frac{\mathrm{d} \mathbf{v} }{\mathrm{d}t} = 0.

TeX (checked):

\sum \mathbf {F} =0\;\Leftrightarrow \;{\frac {\mathrm {d} \mathbf {v} }{\mathrm {d} t}}=0.

LaTeXML (experimental; uses MathML) rendering

MathML (4.062 KB / 883 B) :

𝐅 = 0 d 𝐯 d t = 0 . 𝐅 0 d 𝐯 d 𝑡 0 {\displaystyle{\displaystyle\sum\mathbf{F}=0\;\Leftrightarrow\;\frac{\mathrm{d% }\mathbf{v}}{\mathrm{d}t}=0.}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\sum\mathbf{F}=0\;\Leftrightarrow\;\frac{\mathrm{d%&#10;}\mathbf{v}}{\mathrm{d}t}=0.}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.12" xref="p1.1.m1.1.12.2.cmml">
      <mrow id="p1.1.m1.1.12.2" xref="p1.1.m1.1.12.2.cmml">
        <mrow id="p1.1.m1.1.12.2.1" xref="p1.1.m1.1.12.2.1.cmml">
          <mstyle displaystyle="true" id="p1.1.m1.1.12.2.1.1" xref="p1.1.m1.1.12.2.1.1.cmml">
            <mrow id="p1.1.m1.1.12.2.1.1a" xref="p1.1.m1.1.12.2.1.1.cmml">
              <mo largeop="true" movablelimits="false" symmetric="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml"></mo>
              <mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">𝐅</mi>
            </mrow>
          </mstyle>
          <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">=</mo>
          <mpadded width="+2.8pt" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">
            <mn id="p1.1.m1.1.4a" xref="p1.1.m1.1.4.cmml">0</mn>
          </mpadded>
        </mrow>
        <mo rspace="5.3pt" id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml"></mo>
        <mrow id="p1.1.m1.1.12.2.2" xref="p1.1.m1.1.12.2.2.cmml">
          <mstyle displaystyle="true" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">
            <mfrac id="p1.1.m1.1.8a" xref="p1.1.m1.1.8.cmml">
              <mrow id="p1.1.m1.1.8.2" xref="p1.1.m1.1.8.2.cmml">
                <mi mathvariant="normal" id="p1.1.m1.1.8.2.1" xref="p1.1.m1.1.8.2.1.cmml">d</mi>
                <mo id="p1.1.m1.1.8.2.3" xref="p1.1.m1.1.8.2.3.cmml"></mo>
                <mi id="p1.1.m1.1.8.2.2" xref="p1.1.m1.1.8.2.2.cmml">𝐯</mi>
              </mrow>
              <mrow id="p1.1.m1.1.8.3" xref="p1.1.m1.1.8.3.cmml">
                <mi mathvariant="normal" id="p1.1.m1.1.8.3.1" xref="p1.1.m1.1.8.3.1.cmml">d</mi>
                <mo id="p1.1.m1.1.8.3.3" xref="p1.1.m1.1.8.3.3.cmml"></mo>
                <mi id="p1.1.m1.1.8.3.2" xref="p1.1.m1.1.8.3.2.cmml">t</mi>
              </mrow>
            </mfrac>
          </mstyle>
          <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">=</mo>
          <mn id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">0</mn>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.12.2.cmml">.</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.12.2.cmml" xref="p1.1.m1.1.12">
        <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"></ci>
        <apply id="p1.1.m1.1.12.2.1.cmml" xref="p1.1.m1.1.12.2.1">
          <eq id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
          <apply id="p1.1.m1.1.12.2.1.1.cmml" xref="p1.1.m1.1.12.2.1.1">
            <sum id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"/>
            <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝐅</ci>
          </apply>
          <cn type="integer" id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">0</cn>
        </apply>
        <apply id="p1.1.m1.1.12.2.2.cmml" xref="p1.1.m1.1.12.2.2">
          <eq id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9"/>
          <apply id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">
            <divide id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8"/>
            <apply id="p1.1.m1.1.8.2.cmml" xref="p1.1.m1.1.8.2">
              <times id="p1.1.m1.1.8.2.3.cmml" xref="p1.1.m1.1.8.2.3"/>
              <ci id="p1.1.m1.1.8.2.1.cmml" xref="p1.1.m1.1.8.2.1">d</ci>
              <ci id="p1.1.m1.1.8.2.2.cmml" xref="p1.1.m1.1.8.2.2">𝐯</ci>
            </apply>
            <apply id="p1.1.m1.1.8.3.cmml" xref="p1.1.m1.1.8.3">
              <times id="p1.1.m1.1.8.3.3.cmml" xref="p1.1.m1.1.8.3.3"/>
              <ci id="p1.1.m1.1.8.3.1.cmml" xref="p1.1.m1.1.8.3.1">d</ci>
              <ci id="p1.1.m1.1.8.3.2.cmml" xref="p1.1.m1.1.8.3.2">𝑡</ci>
            </apply>
          </apply>
          <cn type="integer" id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">0</cn>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\sum\mathbf{F}=0\;\Leftrightarrow\;\frac{\mathrm{d%
}\mathbf{v}}{\mathrm{d}t}=0.}}</annotation>
  </semantics>
</math>

SVG (6.639 KB / 2.576 KB) :

sigma-summation bold upper F equals 0 left right double arrow StartFraction normal d times bold v Over normal d times t EndFraction equals 0 period

MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


PNG (0 B / 8 B) :


Translations to Computer Algebra Systems

Translation to Maple

In Maple:

[ERROR] java.lang.IllegalArgumentException: java.lang.ClassCastException@5246835d

Translation to Mathematica

In Mathematica:

[ERROR] java.lang.IllegalArgumentException: java.lang.ClassCastException@5246835d

Similar pages

Calculated based on the variables occurring on the entire Newton's laws of motion page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results