Jump to navigation Jump to search

General

Display information for equation id:math.219041.0 on revision:219041

* Page found: Cotangent space (eq math.219041.0)

(force rerendering)

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

Occurrences on the following pages:

Hash: ada6345b651ef2b58b31daa7d83e2d49

TeX (original user input):

\sum_i f_i g_i\,

TeX (checked):

\sum _{i}f_{i}g_{i}\,

LaTeXML (experimental; uses MathML) rendering

MathML (2.526 KB / 635 B) :

i f i g i subscript i subscript f i subscript g i {\displaystyle\sum_{i}f_{i}g_{i}\,}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\sum_{i}f_{i}g_{i}\,}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">
      <mstyle displaystyle="true" id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">
        <munder id="p1.1.m1.1.8.1a" xref="p1.1.m1.1.8.1.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.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">i</mi>
        </munder>
      </mstyle>
      <mrow id="p1.1.m1.1.8.2" xref="p1.1.m1.1.8.2.cmml">
        <msub id="p1.1.m1.1.8.2.2" xref="p1.1.m1.1.8.2.2.cmml">
          <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">f</mi>
          <mi id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">i</mi>
        </msub>
        <mo id="p1.1.m1.1.8.2.1" xref="p1.1.m1.1.8.2.1.cmml"></mo>
        <mpadded width="+1.7pt" id="p1.1.m1.1.8.2.3" xref="p1.1.m1.1.8.2.3.cmml">
          <msub id="p1.1.m1.1.8.2.3a" xref="p1.1.m1.1.8.2.3.cmml">
            <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">g</mi>
            <mi id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">i</mi>
          </msub>
        </mpadded>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">
        <apply id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">
          <csymbol cd="ambiguous" id="p1.1.m1.1.8.1.1.cmml">subscript</csymbol>
          <sum id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"/>
          <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">i</ci>
        </apply>
        <apply id="p1.1.m1.1.8.2.cmml" xref="p1.1.m1.1.8.2">
          <times id="p1.1.m1.1.8.2.1.cmml" xref="p1.1.m1.1.8.2.1"/>
          <apply id="p1.1.m1.1.8.2.2.cmml" xref="p1.1.m1.1.8.2.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.8.2.2.1.cmml">subscript</csymbol>
            <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">f</ci>
            <ci id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">i</ci>
          </apply>
          <apply id="p1.1.m1.1.8.2.3.cmml" xref="p1.1.m1.1.8.2.3">
            <csymbol cd="ambiguous" id="p1.1.m1.1.8.2.3.1.cmml">subscript</csymbol>
            <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">g</ci>
            <ci id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">i</ci>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\sum_{i}f_{i}g_{i}\,}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (4.147 KB / 1.761 KB) :

sigma-summation Underscript i Endscripts f Subscript i Baseline times g Subscript i

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: sum(f[i]*g[i], i = - infinity..infinity)

Information about the conversion process:

I: You use a typical letter for a constant [the imaginary unit == the principal square root of -1].

We keep it like it is! But you should know that Maple uses I for this constant.

If you want to translate it as a constant, use the corresponding DLMF macro \iunit


i: the imaginary unit == the principal square root of -1 was translated to: i


Translation to Mathematica

In Mathematica: Sum[Subscript[f, i]*Subscript[g, i], {i, - Infinity, Infinity}]

Information about the conversion process:

I: You use a typical letter for a constant [the imaginary unit == the principal square root of -1].

We keep it like it is! But you should know that Mathematica uses I for this constant.

If you want to translate it as a constant, use the corresponding DLMF macro \iunit


i: the imaginary unit == the principal square root of -1 was translated to: i


Similar pages

Calculated based on the variables occurring on the entire Cotangent space page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results