Jump to navigation Jump to search

General

Display information for equation id:math.222671.3 on revision:222671

* Page found: Nash embedding theorem (eq math.222671.3)

(force rerendering)

Occurrences on the following pages:

Hash: e70bdb8121ddbaefd06b1b10c822a895

TeX (original user input): 

\langle u,v \rangle = df_p(u)\cdot df_p(v)

TeX (checked): 

\langle u,v\rangle =df_{p}(u)\cdot df_{p}(v)

LaTeXML (experimental; uses MathML) rendering

MathML (4.547 KB / 882 B) :

⟨ u , v ⟩ = d ⁢ f p ⁢ ( u ) ⋅ d ⁢ f p ⁢ ( v ) 𝑢 𝑣 ⋅ 𝑑 subscript 𝑓 𝑝 𝑢 𝑑 subscript 𝑓 𝑝 𝑣 {\displaystyle\langle u,v\rangle=df_{p}(u)\cdot df_{p}(v)} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\langle u,v\rangle=df_{p}(u)\cdot df_{p}(v)}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">
      <mrow id="p1.1.m1.1.20.1" xref="p1.1.m1.1.20.1.1.cmml">
        <mo stretchy="false" id="p1.1.m1.1.1" xref="p1.1.m1.1.20.1.1.cmml">⟨</mo>
        <mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">u</mi>
        <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.20.1.1.cmml">,</mo>
        <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">v</mi>
        <mo stretchy="false" id="p1.1.m1.1.5" xref="p1.1.m1.1.20.1.1.cmml">⟩</mo>
      </mrow>
      <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">=</mo>
      <mrow id="p1.1.m1.1.20.2" xref="p1.1.m1.1.20.2.cmml">
        <mrow id="p1.1.m1.1.20.2.2" xref="p1.1.m1.1.20.2.2.cmml">
          <mrow id="p1.1.m1.1.20.2.2.1" xref="p1.1.m1.1.20.2.2.1.cmml">
            <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">d</mi>
            <mo id="p1.1.m1.1.20.2.2.1.1" xref="p1.1.m1.1.20.2.2.1.1.cmml">⁢</mo>
            <msub id="p1.1.m1.1.20.2.2.1.2" xref="p1.1.m1.1.20.2.2.1.2.cmml">
              <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">f</mi>
              <mi id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">p</mi>
            </msub>
            <mo id="p1.1.m1.1.20.2.2.1.1a" xref="p1.1.m1.1.20.2.2.1.1.cmml">⁢</mo>
            <mrow id="p1.1.m1.1.20.2.2.1.3" xref="p1.1.m1.1.20.2.2.1.cmml">
              <mo stretchy="false" id="p1.1.m1.1.10" xref="p1.1.m1.1.20.2.2.1.cmml">(</mo>
              <mi id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">u</mi>
              <mo stretchy="false" id="p1.1.m1.1.12" xref="p1.1.m1.1.20.2.2.1.cmml">)</mo>
            </mrow>
          </mrow>
          <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">⋅</mo>
          <mi id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">d</mi>
        </mrow>
        <mo id="p1.1.m1.1.20.2.1" xref="p1.1.m1.1.20.2.1.cmml">⁢</mo>
        <msub id="p1.1.m1.1.20.2.3" xref="p1.1.m1.1.20.2.3.cmml">
          <mi id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">f</mi>
          <mi id="p1.1.m1.1.16.1" xref="p1.1.m1.1.16.1.cmml">p</mi>
        </msub>
        <mo id="p1.1.m1.1.20.2.1a" xref="p1.1.m1.1.20.2.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.20.2.4" xref="p1.1.m1.1.20.2.cmml">
          <mo stretchy="false" id="p1.1.m1.1.17" xref="p1.1.m1.1.20.2.cmml">(</mo>
          <mi id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">v</mi>
          <mo stretchy="false" id="p1.1.m1.1.19" xref="p1.1.m1.1.20.2.cmml">)</mo>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">
        <eq id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"/>
        <list id="p1.1.m1.1.20.1.1.cmml" xref="p1.1.m1.1.20.1">
          <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝑢</ci>
          <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝑣</ci>
        </list>
        <apply id="p1.1.m1.1.20.2.cmml" xref="p1.1.m1.1.20.2">
          <times id="p1.1.m1.1.20.2.1.cmml" xref="p1.1.m1.1.20.2.1"/>
          <apply id="p1.1.m1.1.20.2.2.cmml" xref="p1.1.m1.1.20.2.2">
            <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">⋅</ci>
            <apply id="p1.1.m1.1.20.2.2.1.cmml" xref="p1.1.m1.1.20.2.2.1">
              <times id="p1.1.m1.1.20.2.2.1.1.cmml" xref="p1.1.m1.1.20.2.2.1.1"/>
              <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝑑</ci>
              <apply id="p1.1.m1.1.20.2.2.1.2.cmml" xref="p1.1.m1.1.20.2.2.1.2">
                <csymbol cd="ambiguous" id="p1.1.m1.1.20.2.2.1.2.1.cmml" xref="p1.1.m1.1.20.2.2.1.2">subscript</csymbol>
                <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">𝑓</ci>
                <ci id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">𝑝</ci>
              </apply>
              <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">𝑢</ci>
            </apply>
            <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">𝑑</ci>
          </apply>
          <apply id="p1.1.m1.1.20.2.3.cmml" xref="p1.1.m1.1.20.2.3">
            <csymbol cd="ambiguous" id="p1.1.m1.1.20.2.3.1.cmml" xref="p1.1.m1.1.20.2.3">subscript</csymbol>
            <ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">𝑓</ci>
            <ci id="p1.1.m1.1.16.1.cmml" xref="p1.1.m1.1.16.1">𝑝</ci>
          </apply>
          <ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">𝑣</ci>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\langle u,v\rangle=df_{p}(u)\cdot df_{p}(v)}</annotation>
  </semantics>
</math>

SVG (8.701 KB / 3.074 KB) :

mathematical left-angle u comma v mathematical right-angle equals d times f Subscript p Baseline times left-parenthesis u right-parenthesis dot d times f Subscript p Baseline times left-parenthesis v right-parenthesis

SVG (MathML can be enabled via browser plugin) rendering

MathML (1.119 KB / 390 B) :

⟨ u , v ⟩ = d f p ( u ) ⋅ d f p ( v ) {\displaystyle \langle u,v\rangle =df_{p}(u)\cdot df_{p}(v)} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle \langle u,v\rangle =df_{p}(u)\cdot df_{p}(v)}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mo fence="false" stretchy="false">&#x27E8;<!-- ⟨ --></mo>
        <mi>u</mi>
        <mo>,</mo>
        <mi>v</mi>
        <mo fence="false" stretchy="false">&#x27E9;<!-- ⟩ --></mo>
        <mo>=</mo>
        <mi>d</mi>
        <msub>
          <mi>f</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>p</mi>
          </mrow>
        </msub>
        <mo stretchy="false">(</mo>
        <mi>u</mi>
        <mo stretchy="false">)</mo>
        <mo>&#x22C5;<!-- ⋅ --></mo>
        <mi>d</mi>
        <msub>
          <mi>f</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>p</mi>
          </mrow>
        </msub>
        <mo stretchy="false">(</mo>
        <mi>v</mi>
        <mo stretchy="false">)</mo>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle \langle u,v\rangle =df_{p}(u)\cdot df_{p}(v)}</annotation>
  </semantics>
</math>

SVG (6.648 KB / 2.799 KB) :

{\displaystyle \langle u,v\rangle =df_{p}(u)\cdot df_{p}(v)}

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 Nash embedding theorem page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Retrieved from "https://en.formulasearchengine.com/wiki/Special:FormulaInfo"