Jump to navigation Jump to search

General

Display information for equation id:math.220078.45 on revision:220078

* Page found: Lebesgue measure (eq math.220078.45)

(force rerendering)

Occurrences on the following pages:

Hash: 1a303d6b4d91f495142c7f696ab09594

TeX (original user input):

B=\prod_{i=1}^n [a_i,b_i] \, ,

TeX (checked):

B=\prod _{i=1}^{n}[a_{i},b_{i}]\,,

LaTeXML (experimental; uses MathML) rendering

MathML (4.326 KB / 914 B) :

B = i = 1 n [ a i , b i ] , 𝐵 superscript subscript product 𝑖 1 𝑛 subscript 𝑎 𝑖 subscript 𝑏 𝑖 {\displaystyle B=\prod_{{i=1}}^{n}[a_{i},b_{i}]\,,}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle B=\prod_{{i=1}}^{n}[a_{i},b_{i}]\,,}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.15" xref="p1.1.m1.1.15.2.cmml">
      <mrow id="p1.1.m1.1.15.2" xref="p1.1.m1.1.15.2.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">B</mi>
        <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">=</mo>
        <mrow id="p1.1.m1.1.15.2.1" xref="p1.1.m1.1.15.2.1.cmml">
          <mstyle displaystyle="true" id="p1.1.m1.1.15.2.1.1" xref="p1.1.m1.1.15.2.1.1.cmml">
            <munderover id="p1.1.m1.1.15.2.1.1a" xref="p1.1.m1.1.15.2.1.1.cmml">
              <mo largeop="true" movablelimits="false" symmetric="true" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml"></mo>
              <mrow id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">
                <mi id="p1.1.m1.1.4.1.1" xref="p1.1.m1.1.4.1.1.cmml">i</mi>
                <mo id="p1.1.m1.1.4.1.2" xref="p1.1.m1.1.4.1.2.cmml">=</mo>
                <mn id="p1.1.m1.1.4.1.3" xref="p1.1.m1.1.4.1.3.cmml">1</mn>
              </mrow>
              <mi id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">n</mi>
            </munderover>
          </mstyle>
          <mrow id="p1.1.m1.1.15.2.1.2" xref="p1.1.m1.1.15.2.1.2.1.cmml">
            <mo stretchy="false" id="p1.1.m1.1.6" xref="p1.1.m1.1.15.2.1.2.1.cmml">[</mo>
            <msub id="p1.1.m1.1.15.2.1.2.2" xref="p1.1.m1.1.15.2.1.2.2.cmml">
              <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">a</mi>
              <mi id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">i</mi>
            </msub>
            <mo id="p1.1.m1.1.9" xref="p1.1.m1.1.15.2.1.2.1.cmml">,</mo>
            <msub id="p1.1.m1.1.15.2.1.2.3" xref="p1.1.m1.1.15.2.1.2.3.cmml">
              <mi id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">b</mi>
              <mi id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">i</mi>
            </msub>
            <mo rspace="4.2pt" stretchy="false" id="p1.1.m1.1.12" xref="p1.1.m1.1.15.2.1.2.1.cmml">]</mo>
          </mrow>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.14" xref="p1.1.m1.1.15.2.cmml">,</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.15.2.cmml" xref="p1.1.m1.1.15">
        <eq id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/>
        <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝐵</ci>
        <apply id="p1.1.m1.1.15.2.1.cmml" xref="p1.1.m1.1.15.2.1">
          <apply id="p1.1.m1.1.15.2.1.1.cmml" xref="p1.1.m1.1.15.2.1.1">
            <csymbol cd="ambiguous" id="p1.1.m1.1.15.2.1.1.1.cmml" xref="p1.1.m1.1.15.2.1.1">superscript</csymbol>
            <apply id="p1.1.m1.1.15.2.1.1.2.cmml" xref="p1.1.m1.1.15.2.1.1">
              <csymbol cd="ambiguous" id="p1.1.m1.1.15.2.1.1.2.1.cmml" xref="p1.1.m1.1.15.2.1.1">subscript</csymbol>
              <csymbol cd="latexml" id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">product</csymbol>
              <apply id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">
                <eq id="p1.1.m1.1.4.1.2.cmml" xref="p1.1.m1.1.4.1.2"/>
                <ci id="p1.1.m1.1.4.1.1.cmml" xref="p1.1.m1.1.4.1.1">𝑖</ci>
                <cn type="integer" id="p1.1.m1.1.4.1.3.cmml" xref="p1.1.m1.1.4.1.3">1</cn>
              </apply>
            </apply>
            <ci id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">𝑛</ci>
          </apply>
          <interval closure="closed" id="p1.1.m1.1.15.2.1.2.1.cmml" xref="p1.1.m1.1.15.2.1.2">
            <apply id="p1.1.m1.1.15.2.1.2.2.cmml" xref="p1.1.m1.1.15.2.1.2.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.15.2.1.2.2.1.cmml" xref="p1.1.m1.1.15.2.1.2.2">subscript</csymbol>
              <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝑎</ci>
              <ci id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">𝑖</ci>
            </apply>
            <apply id="p1.1.m1.1.15.2.1.2.3.cmml" xref="p1.1.m1.1.15.2.1.2.3">
              <csymbol cd="ambiguous" id="p1.1.m1.1.15.2.1.2.3.1.cmml" xref="p1.1.m1.1.15.2.1.2.3">subscript</csymbol>
              <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">𝑏</ci>
              <ci id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">𝑖</ci>
            </apply>
          </interval>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle B=\prod_{{i=1}}^{n}[a_{i},b_{i}]\,,}</annotation>
  </semantics>
</math>

SVG (7.336 KB / 2.731 KB) :

upper B equals product Underscript i equals 1 Overscript n Endscripts left-bracket a Subscript i Baseline comma b Subscript i Baseline right-bracket comma

SVG with PNG fallback (MathML can be enabled via browser plugin) rendering

MathML (1.109 KB / 397 B) :

B = i = 1 n [ a i , b i ] , {\displaystyle B=\prod _{i=1}^{n}[a_{i},b_{i}]\,,}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle B=\prod _{i=1}^{n}[a_{i},b_{i}]\,,}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mi>B</mi>
        <mo>=</mo>
        <munderover>
          <mo>&#x220F;<!-- ∏ --></mo>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>i</mi>
            <mo>=</mo>
            <mn>1</mn>
          </mrow>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>n</mi>
          </mrow>
        </munderover>
        <mo stretchy="false">[</mo>
        <msub>
          <mi>a</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>i</mi>
          </mrow>
        </msub>
        <mo>,</mo>
        <msub>
          <mi>b</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>i</mi>
          </mrow>
        </msub>
        <mo stretchy="false">]</mo>
        <mspace width="thinmathspace" />
        <mo>,</mo>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle B=\prod _{i=1}^{n}[a_{i},b_{i}]\,,}</annotation>
  </semantics>
</math>

SVG (5.86 KB / 2.513 KB) :

{\displaystyle B=\prod _{i=1}^{n}[a_{i},b_{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 Lebesgue measure page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results