Jump to navigation Jump to search

General

Display information for equation id:math.223340.4 on revision:223340

* Page found: Analytic function (eq math.223340.4)

(force rerendering)

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

Occurrences on the following pages:

Hash: 5720f36e380316e5a584937f31574e27

TeX (original user input):

f(x)=\frac{1}{x^2+1}.

TeX (checked):

f(x)={\frac {1}{x^{2}+1}}.

LaTeXML (experimental; uses MathML) rendering

MathML (3.087 KB / 733 B) :

f ( x ) = 1 x 2 + 1 . 𝑓 𝑥 1 superscript 𝑥 2 1 {\displaystyle f(x)={\frac{1}{x^{2}+1}}.}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle f(x)={\frac{1}{x^{2}+1}}.}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.8" xref="p1.1.m1.1.8.2.cmml">
      <mrow id="p1.1.m1.1.8.2" xref="p1.1.m1.1.8.2.cmml">
        <mrow id="p1.1.m1.1.8.2.1" xref="p1.1.m1.1.8.2.1.cmml">
          <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">f</mi>
          <mo id="p1.1.m1.1.8.2.1.1" xref="p1.1.m1.1.8.2.1.1.cmml"></mo>
          <mrow id="p1.1.m1.1.8.2.1.2" xref="p1.1.m1.1.8.2.1.cmml">
            <mo stretchy="false" id="p1.1.m1.1.2" xref="p1.1.m1.1.8.2.1.cmml">(</mo>
            <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">x</mi>
            <mo stretchy="false" id="p1.1.m1.1.4" xref="p1.1.m1.1.8.2.1.cmml">)</mo>
          </mrow>
        </mrow>
        <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">=</mo>
        <mstyle displaystyle="true" id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">
          <mfrac id="p1.1.m1.1.6a" xref="p1.1.m1.1.6.cmml">
            <mn id="p1.1.m1.1.6.2" xref="p1.1.m1.1.6.2.cmml">1</mn>
            <mrow id="p1.1.m1.1.6.3" xref="p1.1.m1.1.6.3.cmml">
              <msup id="p1.1.m1.1.6.3.5" xref="p1.1.m1.1.6.3.5.cmml">
                <mi id="p1.1.m1.1.6.3.1" xref="p1.1.m1.1.6.3.1.cmml">x</mi>
                <mn id="p1.1.m1.1.6.3.2.1" xref="p1.1.m1.1.6.3.2.1.cmml">2</mn>
              </msup>
              <mo id="p1.1.m1.1.6.3.3" xref="p1.1.m1.1.6.3.3.cmml">+</mo>
              <mn id="p1.1.m1.1.6.3.4" xref="p1.1.m1.1.6.3.4.cmml">1</mn>
            </mrow>
          </mfrac>
        </mstyle>
      </mrow>
      <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.8.2.cmml">.</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.8.2.cmml" xref="p1.1.m1.1.8">
        <eq id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"/>
        <apply id="p1.1.m1.1.8.2.1.cmml" xref="p1.1.m1.1.8.2.1">
          <times id="p1.1.m1.1.8.2.1.1.cmml" xref="p1.1.m1.1.8.2.1.1"/>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑓</ci>
          <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝑥</ci>
        </apply>
        <apply id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">
          <divide id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6"/>
          <cn type="integer" id="p1.1.m1.1.6.2.cmml" xref="p1.1.m1.1.6.2">1</cn>
          <apply id="p1.1.m1.1.6.3.cmml" xref="p1.1.m1.1.6.3">
            <plus id="p1.1.m1.1.6.3.3.cmml" xref="p1.1.m1.1.6.3.3"/>
            <apply id="p1.1.m1.1.6.3.5.cmml" xref="p1.1.m1.1.6.3.5">
              <csymbol cd="ambiguous" id="p1.1.m1.1.6.3.5.1.cmml" xref="p1.1.m1.1.6.3.5">superscript</csymbol>
              <ci id="p1.1.m1.1.6.3.1.cmml" xref="p1.1.m1.1.6.3.1">𝑥</ci>
              <cn type="integer" id="p1.1.m1.1.6.3.2.1.cmml" xref="p1.1.m1.1.6.3.2.1">2</cn>
            </apply>
            <cn type="integer" id="p1.1.m1.1.6.3.4.cmml" xref="p1.1.m1.1.6.3.4">1</cn>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle f(x)={\frac{1}{x^{2}+1}}.}</annotation>
  </semantics>
</math>

SVG (5.812 KB / 2.278 KB) :

f times left-parenthesis x right-parenthesis equals StartFraction 1 Over x squared plus 1 EndFraction period

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: f*(x)=(1)/((x)^(2)+ 1)

Information about the conversion process:


Translation to Mathematica

In Mathematica: f*(x)=Divide[1,(x)^(2)+ 1]

Information about the conversion process:


Similar pages

Calculated based on the variables occurring on the entire Analytic function page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results