Jump to navigation Jump to search

General

Display information for equation id:math.232962.47 on revision:232962

* Page found: Non-standard calculus (eq math.232962.47)

(force rerendering)

Occurrences on the following pages:

Hash: 4809e3422b7ae0a77b416c58253fe6ad

TeX (original user input):

a = x_0 <  x_1< \cdots < x_{N-1} < x_N = b

TeX (checked):

a=x_{0}<x_{1}<\cdots <x_{N-1}<x_{N}=b

LaTeXML (experimental; uses MathML) rendering

MathML (5.177 KB / 946 B) :

a = x 0 < x 1 < < x N - 1 < x N = b 𝑎 subscript 𝑥 0 subscript 𝑥 1 subscript 𝑥 𝑁 1 subscript 𝑥 𝑁 𝑏 {\displaystyle a=x_{0}<x_{1}<\cdots<x_{{N-1}}<x_{N}=b}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle a=x_{0}&lt;x_{1}&lt;\cdots&lt;x_{{N-1}}&lt;x_{N}=b}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">
      <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">a</mi>
      <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">=</mo>
      <msub id="p1.1.m1.1.18.2" xref="p1.1.m1.1.18.2.cmml">
        <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">x</mi>
        <mn id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">0</mn>
      </msub>
      <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">&lt;</mo>
      <msub id="p1.1.m1.1.18.3" xref="p1.1.m1.1.18.3.cmml">
        <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">x</mi>
        <mn id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">1</mn>
      </msub>
      <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">&lt;</mo>
      <mi mathvariant="normal" id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml"></mi>
      <mo id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">&lt;</mo>
      <msub id="p1.1.m1.1.18.4" xref="p1.1.m1.1.18.4.cmml">
        <mi id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">x</mi>
        <mrow id="p1.1.m1.1.12.1" xref="p1.1.m1.1.12.1.cmml">
          <mi id="p1.1.m1.1.12.1.1" xref="p1.1.m1.1.12.1.1.cmml">N</mi>
          <mo id="p1.1.m1.1.12.1.2" xref="p1.1.m1.1.12.1.2.cmml">-</mo>
          <mn id="p1.1.m1.1.12.1.3" xref="p1.1.m1.1.12.1.3.cmml">1</mn>
        </mrow>
      </msub>
      <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">&lt;</mo>
      <msub id="p1.1.m1.1.18.5" xref="p1.1.m1.1.18.5.cmml">
        <mi id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">x</mi>
        <mi id="p1.1.m1.1.15.1" xref="p1.1.m1.1.15.1.cmml">N</mi>
      </msub>
      <mo id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">=</mo>
      <mi id="p1.1.m1.1.17" xref="p1.1.m1.1.17.cmml">b</mi>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">
        <and id="p1.1.m1.1.18a.cmml" xref="p1.1.m1.1.18"/>
        <apply id="p1.1.m1.1.18b.cmml" xref="p1.1.m1.1.18">
          <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">𝑎</ci>
          <apply id="p1.1.m1.1.18.2.cmml" xref="p1.1.m1.1.18.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.18.2.1.cmml" xref="p1.1.m1.1.18.2">subscript</csymbol>
            <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝑥</ci>
            <cn type="integer" id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">0</cn>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.18c.cmml" xref="p1.1.m1.1.18">
          <lt id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"/>
          <share href="#p1.1.m1.1.18.2.cmml" id="p1.1.m1.1.18d.cmml" xref="p1.1.m1.1.18"/>
          <apply id="p1.1.m1.1.18.3.cmml" xref="p1.1.m1.1.18.3">
            <csymbol cd="ambiguous" id="p1.1.m1.1.18.3.1.cmml" xref="p1.1.m1.1.18.3">subscript</csymbol>
            <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">𝑥</ci>
            <cn type="integer" id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">1</cn>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.18e.cmml" xref="p1.1.m1.1.18">
          <lt id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8"/>
          <share href="#p1.1.m1.1.18.3.cmml" id="p1.1.m1.1.18f.cmml" xref="p1.1.m1.1.18"/>
          <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9"></ci>
        </apply>
        <apply id="p1.1.m1.1.18g.cmml" xref="p1.1.m1.1.18">
          <lt id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10"/>
          <share href="#p1.1.m1.1.9.cmml" id="p1.1.m1.1.18h.cmml" xref="p1.1.m1.1.18"/>
          <apply id="p1.1.m1.1.18.4.cmml" xref="p1.1.m1.1.18.4">
            <csymbol cd="ambiguous" id="p1.1.m1.1.18.4.1.cmml" xref="p1.1.m1.1.18.4">subscript</csymbol>
            <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">𝑥</ci>
            <apply id="p1.1.m1.1.12.1.cmml" xref="p1.1.m1.1.12.1">
              <minus id="p1.1.m1.1.12.1.2.cmml" xref="p1.1.m1.1.12.1.2"/>
              <ci id="p1.1.m1.1.12.1.1.cmml" xref="p1.1.m1.1.12.1.1">𝑁</ci>
              <cn type="integer" id="p1.1.m1.1.12.1.3.cmml" xref="p1.1.m1.1.12.1.3">1</cn>
            </apply>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.18i.cmml" xref="p1.1.m1.1.18">
          <lt id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13"/>
          <share href="#p1.1.m1.1.18.4.cmml" id="p1.1.m1.1.18j.cmml" xref="p1.1.m1.1.18"/>
          <apply id="p1.1.m1.1.18.5.cmml" xref="p1.1.m1.1.18.5">
            <csymbol cd="ambiguous" id="p1.1.m1.1.18.5.1.cmml" xref="p1.1.m1.1.18.5">subscript</csymbol>
            <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">𝑥</ci>
            <ci id="p1.1.m1.1.15.1.cmml" xref="p1.1.m1.1.15.1">𝑁</ci>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.18k.cmml" xref="p1.1.m1.1.18">
          <eq id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16"/>
          <share href="#p1.1.m1.1.18.5.cmml" id="p1.1.m1.1.18l.cmml" xref="p1.1.m1.1.18"/>
          <ci id="p1.1.m1.1.17.cmml" xref="p1.1.m1.1.17">𝑏</ci>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle a=x_{0}&lt;x_{1}&lt;\cdots&lt;x_{{N-1}}&lt;x_{N}=b}</annotation>
  </semantics>
</math>

SVG (7.324 KB / 2.613 KB) :

a equals x 0 less-than x 1 less-than midline-horizontal-ellipsis less-than x Subscript upper N minus 1 Baseline less-than x Subscript upper N Baseline equals b

SVG (MathML can be enabled via browser plugin) rendering

MathML (1.19 KB / 363 B) :

a = x 0 < x 1 < < x N 1 < x N = b {\displaystyle a=x_{0}<x_{1}<\cdots <x_{N-1}<x_{N}=b}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle a=x_{0}&lt;x_{1}&lt;\cdots &lt;x_{N-1}&lt;x_{N}=b}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mi>a</mi>
        <mo>=</mo>
        <msub>
          <mi>x</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mn>0</mn>
          </mrow>
        </msub>
        <mo>&lt;</mo>
        <msub>
          <mi>x</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mn>1</mn>
          </mrow>
        </msub>
        <mo>&lt;</mo>
        <mo>&#x22EF;<!-- ⋯ --></mo>
        <mo>&lt;</mo>
        <msub>
          <mi>x</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>N</mi>
            <mo>&#x2212;<!-- − --></mo>
            <mn>1</mn>
          </mrow>
        </msub>
        <mo>&lt;</mo>
        <msub>
          <mi>x</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>N</mi>
          </mrow>
        </msub>
        <mo>=</mo>
        <mi>b</mi>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle a=x_{0}&lt;x_{1}&lt;\cdots &lt;x_{N-1}&lt;x_{N}=b}</annotation>
  </semantics>
</math>

SVG (5.879 KB / 2.403 KB) :

{\displaystyle a=x_{0}<x_{1}<\cdots <x_{N-1}<x_{N}=b}

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 Non-standard calculus page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results