Jump to navigation
Jump to search
General
Display information for equation id:math.249810.5 on revision:249810
* Page found: Chebyshev rational functions (eq math.249810.5)
(force rerendering)Occurrences on the following pages:
Hash: 3893c7ba2b437e56e22e10dc9cf7ed8b
TeX (original user input):
\omega(x) \ \stackrel{\mathrm{def}}{=}\ \frac{1}{(x+1)\sqrt{x}}
TeX (checked):
\omega (x)\ {\stackrel {\mathrm {def} }{=}}\ {\frac {1}{(x+1){\sqrt {x}}}}
LaTeXML (experimental; uses MathML) rendering
MathML (4.087 KB / 935 B) :

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\omega(x)\ {\lx@stackrel{{\scriptstyle{\mathrm{def}}}}{{=}}}\ {% \frac{1}{(x+1){\sqrt{x}}}}}" display="inline">
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">
<mrow id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">
<mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">ω</mi>
<mo id="p1.1.m1.1.9.1.1" xref="p1.1.m1.1.9.1.1.cmml"></mo>
<mrow id="p1.1.m1.1.9.1.2" xref="p1.1.m1.1.9.1.cmml">
<mo stretchy="false" id="p1.1.m1.1.2" xref="p1.1.m1.1.9.1.cmml">(</mo>
<mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">x</mi>
<mo rspace="7.5pt" stretchy="false" id="p1.1.m1.1.4" xref="p1.1.m1.1.9.1.cmml">)</mo>
</mrow>
</mrow>
<mpadded width="+5pt" id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">
<mover id="p1.1.m1.1.6a" xref="p1.1.m1.1.6.cmml">
<mo movablelimits="false" id="p1.1.m1.1.6.2" xref="p1.1.m1.1.6.2.cmml">=</mo>
<mi id="p1.1.m1.1.6.3" xref="p1.1.m1.1.6.3.cmml">def</mi>
</mover>
</mpadded>
<mstyle displaystyle="true" id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">
<mfrac id="p1.1.m1.1.8a" xref="p1.1.m1.1.8.cmml">
<mn id="p1.1.m1.1.8.2" xref="p1.1.m1.1.8.2.cmml">1</mn>
<mrow id="p1.1.m1.1.8.3" xref="p1.1.m1.1.8.3.cmml">
<mrow id="p1.1.m1.1.8.3.8" xref="p1.1.m1.1.8.3.8.2.cmml">
<mo stretchy="false" id="p1.1.m1.1.8.3.1" xref="p1.1.m1.1.8.3.8.2.cmml">(</mo>
<mrow id="p1.1.m1.1.8.3.8.2" xref="p1.1.m1.1.8.3.8.2.cmml">
<mi id="p1.1.m1.1.8.3.2" xref="p1.1.m1.1.8.3.2.cmml">x</mi>
<mo id="p1.1.m1.1.8.3.3" xref="p1.1.m1.1.8.3.3.cmml">+</mo>
<mn id="p1.1.m1.1.8.3.4" xref="p1.1.m1.1.8.3.4.cmml">1</mn>
</mrow>
<mo stretchy="false" id="p1.1.m1.1.8.3.5" xref="p1.1.m1.1.8.3.8.2.cmml">)</mo>
</mrow>
<mo id="p1.1.m1.1.8.3.7" xref="p1.1.m1.1.8.3.7.cmml"></mo>
<msqrt id="p1.1.m1.1.8.3.6" xref="p1.1.m1.1.8.3.6.cmml">
<mi id="p1.1.m1.1.8.3.6.2" xref="p1.1.m1.1.8.3.6.2.cmml">x</mi>
</msqrt>
</mrow>
</mfrac>
</mstyle>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<apply id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">
<apply id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">
<csymbol cd="ambiguous" id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6">superscript</csymbol>
<eq id="p1.1.m1.1.6.2.cmml" xref="p1.1.m1.1.6.2"/>
<ci id="p1.1.m1.1.6.3.cmml" xref="p1.1.m1.1.6.3">def</ci>
</apply>
<apply id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">
<times id="p1.1.m1.1.9.1.1.cmml" xref="p1.1.m1.1.9.1.1"/>
<ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝜔</ci>
<ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝑥</ci>
</apply>
<apply id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">
<divide id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8"/>
<cn type="integer" id="p1.1.m1.1.8.2.cmml" xref="p1.1.m1.1.8.2">1</cn>
<apply id="p1.1.m1.1.8.3.cmml" xref="p1.1.m1.1.8.3">
<times id="p1.1.m1.1.8.3.7.cmml" xref="p1.1.m1.1.8.3.7"/>
<apply id="p1.1.m1.1.8.3.8.2.cmml" xref="p1.1.m1.1.8.3.8">
<plus id="p1.1.m1.1.8.3.3.cmml" xref="p1.1.m1.1.8.3.3"/>
<ci id="p1.1.m1.1.8.3.2.cmml" xref="p1.1.m1.1.8.3.2">𝑥</ci>
<cn type="integer" id="p1.1.m1.1.8.3.4.cmml" xref="p1.1.m1.1.8.3.4">1</cn>
</apply>
<apply id="p1.1.m1.1.8.3.6.cmml" xref="p1.1.m1.1.8.3.6">
<root id="p1.1.m1.1.8.3.6a.cmml" xref="p1.1.m1.1.8.3.6"/>
<ci id="p1.1.m1.1.8.3.6.2.cmml" xref="p1.1.m1.1.8.3.6.2">𝑥</ci>
</apply>
</apply>
</apply>
</apply>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\omega(x)\ {\lx@stackrel{{\scriptstyle{\mathrm{def}}}}{{=}}}\ {%
\frac{1}{(x+1){\sqrt{x}}}}}</annotation>
</semantics>
</math>
SVG (7.536 KB / 2.823 KB) :
SVG (MathML can be enabled via browser plugin) rendering
MathML (1.625 KB / 494 B) :

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle \omega (x)\ {\stackrel {\mathrm {def} }{=}}\ {\frac {1}{(x+1){\sqrt {x}}}}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>ω<!-- ω --></mi>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo stretchy="false">)</mo>
<mtext> </mtext>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-REL">
<mover>
<mrow class="MJX-TeXAtom-OP MJX-fixedlimits">
<mo>=</mo>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="normal">d</mi>
<mi mathvariant="normal">e</mi>
<mi mathvariant="normal">f</mi>
</mrow>
</mrow>
</mover>
</mrow>
</mrow>
<mtext> </mtext>
<mrow class="MJX-TeXAtom-ORD">
<mfrac>
<mn>1</mn>
<mrow>
<mo stretchy="false">(</mo>
<mi>x</mi>
<mo>+</mo>
<mn>1</mn>
<mo stretchy="false">)</mo>
<mrow class="MJX-TeXAtom-ORD">
<msqrt>
<mi>x</mi>
</msqrt>
</mrow>
</mrow>
</mfrac>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \omega (x)\ {\stackrel {\mathrm {def} }{=}}\ {\frac {1}{(x+1){\sqrt {x}}}}}</annotation>
</semantics>
</math>
SVG (6.004 KB / 2.593 KB) :
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 Chebyshev rational functions page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results