Jump to navigation Jump to search

General

Display information for equation id:math.220515.55 on revision:220515

* Page found: Probability theory (eq math.220515.55)

(force rerendering)

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

Occurrences on the following pages:

Hash: e3a52e492a795cd0ac007cfccb4d4378

TeX (original user input):

\overline{X}_n=\frac1n{\sum_{k=1}^n X_k}

TeX (checked):

{\overline {X}}_{n}={\frac {1}{n}}{\sum _{k=1}^{n}X_{k}}

LaTeXML (experimental; uses MathML) rendering

MathML (4.719 KB / 991 B) :

X ¯ n = 1 n k = 1 n X k subscript ¯ 𝑋 𝑛 1 𝑛 superscript subscript 𝑘 1 𝑛 subscript 𝑋 𝑘 {\displaystyle{\overline{X}}_{n}={\frac{1}{n}}{\sum_{{k=1}}^{n}X_{k}}}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\overline{X}}_{n}={\frac{1}{n}}{\sum_{{k=1}}^{n}X_{k}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">
      <msub id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">
        <mover accent="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">
          <mi id="p1.1.m1.1.1.2" xref="p1.1.m1.1.1.2.cmml">X</mi>
          <mo id="p1.1.m1.1.1.1" xref="p1.1.m1.1.1.1.cmml">¯</mo>
        </mover>
        <mi id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">n</mi>
      </msub>
      <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">=</mo>
      <mrow id="p1.1.m1.1.10.2" xref="p1.1.m1.1.10.2.cmml">
        <mstyle displaystyle="true" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">
          <mfrac id="p1.1.m1.1.4a" xref="p1.1.m1.1.4.cmml">
            <mn id="p1.1.m1.1.4.2" xref="p1.1.m1.1.4.2.cmml">1</mn>
            <mi id="p1.1.m1.1.4.3" xref="p1.1.m1.1.4.3.cmml">n</mi>
          </mfrac>
        </mstyle>
        <mo id="p1.1.m1.1.10.2.1" xref="p1.1.m1.1.10.2.1.cmml"></mo>
        <mrow id="p1.1.m1.1.10.2.2" xref="p1.1.m1.1.10.2.2.cmml">
          <mstyle displaystyle="true" id="p1.1.m1.1.10.2.2.1" xref="p1.1.m1.1.10.2.2.1.cmml">
            <munderover id="p1.1.m1.1.10.2.2.1a" xref="p1.1.m1.1.10.2.2.1.cmml">
              <mo largeop="true" movablelimits="false" symmetric="true" id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml"></mo>
              <mrow id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">
                <mi id="p1.1.m1.1.6.1.1" xref="p1.1.m1.1.6.1.1.cmml">k</mi>
                <mo id="p1.1.m1.1.6.1.2" xref="p1.1.m1.1.6.1.2.cmml">=</mo>
                <mn id="p1.1.m1.1.6.1.3" xref="p1.1.m1.1.6.1.3.cmml">1</mn>
              </mrow>
              <mi id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">n</mi>
            </munderover>
          </mstyle>
          <msub id="p1.1.m1.1.10.2.2.2" xref="p1.1.m1.1.10.2.2.2.cmml">
            <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">X</mi>
            <mi id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">k</mi>
          </msub>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">
        <eq id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
        <apply id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">
          <csymbol cd="ambiguous" id="p1.1.m1.1.10.1.1.cmml" xref="p1.1.m1.1.10.1">subscript</csymbol>
          <apply id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">
            <ci id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.1">¯</ci>
            <ci id="p1.1.m1.1.1.2.cmml" xref="p1.1.m1.1.1.2">𝑋</ci>
          </apply>
          <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">𝑛</ci>
        </apply>
        <apply id="p1.1.m1.1.10.2.cmml" xref="p1.1.m1.1.10.2">
          <times id="p1.1.m1.1.10.2.1.cmml" xref="p1.1.m1.1.10.2.1"/>
          <apply id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">
            <divide id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4"/>
            <cn type="integer" id="p1.1.m1.1.4.2.cmml" xref="p1.1.m1.1.4.2">1</cn>
            <ci id="p1.1.m1.1.4.3.cmml" xref="p1.1.m1.1.4.3">𝑛</ci>
          </apply>
          <apply id="p1.1.m1.1.10.2.2.cmml" xref="p1.1.m1.1.10.2.2">
            <apply id="p1.1.m1.1.10.2.2.1.cmml" xref="p1.1.m1.1.10.2.2.1">
              <csymbol cd="ambiguous" id="p1.1.m1.1.10.2.2.1.1.cmml" xref="p1.1.m1.1.10.2.2.1">superscript</csymbol>
              <apply id="p1.1.m1.1.10.2.2.1.2.cmml" xref="p1.1.m1.1.10.2.2.1">
                <csymbol cd="ambiguous" id="p1.1.m1.1.10.2.2.1.2.1.cmml" xref="p1.1.m1.1.10.2.2.1">subscript</csymbol>
                <sum id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"/>
                <apply id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">
                  <eq id="p1.1.m1.1.6.1.2.cmml" xref="p1.1.m1.1.6.1.2"/>
                  <ci id="p1.1.m1.1.6.1.1.cmml" xref="p1.1.m1.1.6.1.1">𝑘</ci>
                  <cn type="integer" id="p1.1.m1.1.6.1.3.cmml" xref="p1.1.m1.1.6.1.3">1</cn>
                </apply>
              </apply>
              <ci id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">𝑛</ci>
            </apply>
            <apply id="p1.1.m1.1.10.2.2.2.cmml" xref="p1.1.m1.1.10.2.2.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.10.2.2.2.1.cmml" xref="p1.1.m1.1.10.2.2.2">subscript</csymbol>
              <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">𝑋</ci>
              <ci id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">𝑘</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\overline{X}}_{n}={\frac{1}{n}}{\sum_{{k=1}}^{n}X_{k}}}</annotation>
  </semantics>
</math>

SVG (6.813 KB / 2.588 KB) :

upper X overbar Subscript n Baseline equals StartFraction 1 Over n EndFraction times sigma-summation Underscript k equals 1 Overscript n Endscripts upper X Subscript k

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:

Accents are not supported. - Reason: No translation possible for given token

Translation to Mathematica

In Mathematica:

Accents are not supported. - Reason: No translation possible for given token

Similar pages

Calculated based on the variables occurring on the entire Probability theory page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results