Jump to navigation
Jump to search


General
Display information for equation id:math.10354.41 on revision:10354
* Page found: Viscosity solution (eq math.10354.41)
(force rerendering)Occurrences on the following pages:
Hash: 08ecc0e3d5b5840e9d211abb2ff652f3
TeX (original user input):
H(Y,p,s) \geq H(X,p,r) + \lambda ||X-Y||
TeX (checked):
H(Y,p,s)\geq H(X,p,r)+\lambda ||X-Y||
LaTeXML (experimental; uses MathML) rendering
MathML (5.074 KB / 947 B) :

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle H(Y,p,s)\geq H(X,p,r)+\lambda||X-Y||}" display="inline">
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml">
<mrow id="p1.1.m1.1.27.1" xref="p1.1.m1.1.27.1.cmml">
<mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">H</mi>
<mo id="p1.1.m1.1.27.1.1" xref="p1.1.m1.1.27.1.1.cmml"></mo>
<mrow id="p1.1.m1.1.27.1.2" xref="p1.1.m1.1.27.1.2.1.cmml">
<mo stretchy="false" id="p1.1.m1.1.2" xref="p1.1.m1.1.27.1.2.1.cmml">(</mo>
<mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">Y</mi>
<mo id="p1.1.m1.1.4" xref="p1.1.m1.1.27.1.2.1.cmml">,</mo>
<mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">p</mi>
<mo id="p1.1.m1.1.6" xref="p1.1.m1.1.27.1.2.1.cmml">,</mo>
<mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">s</mi>
<mo stretchy="false" id="p1.1.m1.1.8" xref="p1.1.m1.1.27.1.2.1.cmml">)</mo>
</mrow>
</mrow>
<mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">≥</mo>
<mrow id="p1.1.m1.1.27.2" xref="p1.1.m1.1.27.2.cmml">
<mrow id="p1.1.m1.1.27.2.1" xref="p1.1.m1.1.27.2.1.cmml">
<mi id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">H</mi>
<mo id="p1.1.m1.1.27.2.1.1" xref="p1.1.m1.1.27.2.1.1.cmml"></mo>
<mrow id="p1.1.m1.1.27.2.1.2" xref="p1.1.m1.1.27.2.1.2.1.cmml">
<mo stretchy="false" id="p1.1.m1.1.11" xref="p1.1.m1.1.27.2.1.2.1.cmml">(</mo>
<mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">X</mi>
<mo id="p1.1.m1.1.13" xref="p1.1.m1.1.27.2.1.2.1.cmml">,</mo>
<mi id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">p</mi>
<mo id="p1.1.m1.1.15" xref="p1.1.m1.1.27.2.1.2.1.cmml">,</mo>
<mi id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">r</mi>
<mo stretchy="false" id="p1.1.m1.1.17" xref="p1.1.m1.1.27.2.1.2.1.cmml">)</mo>
</mrow>
</mrow>
<mo id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">+</mo>
<mrow id="p1.1.m1.1.27.2.2" xref="p1.1.m1.1.27.2.2.cmml">
<mi id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">λ</mi>
<mo id="p1.1.m1.1.27.2.2.1" xref="p1.1.m1.1.27.2.2.1.cmml"></mo>
<mrow id="p1.1.m1.1.27.2.2.2" xref="p1.1.m1.1.27.2.2.2.1.cmml">
<mo fence="true" id="p1.1.m1.1.20a" xref="p1.1.m1.1.27.2.2.2.1.1.cmml">||</mo>
<mrow id="p1.1.m1.1.27.2.2.2.2" xref="p1.1.m1.1.27.2.2.2.2.cmml">
<mi id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">X</mi>
<mo id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">-</mo>
<mi id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">Y</mi>
</mrow>
<mo fence="true" id="p1.1.m1.1.25a" xref="p1.1.m1.1.27.2.2.2.1.1.cmml">||</mo>
</mrow>
</mrow>
</mrow>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<apply id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.27">
<geq id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9"/>
<apply id="p1.1.m1.1.27.1.cmml" xref="p1.1.m1.1.27.1">
<times id="p1.1.m1.1.27.1.1.cmml" xref="p1.1.m1.1.27.1.1"/>
<ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝐻</ci>
<vector id="p1.1.m1.1.27.1.2.1.cmml" xref="p1.1.m1.1.27.1.2">
<ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝑌</ci>
<ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝑝</ci>
<ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝑠</ci>
</vector>
</apply>
<apply id="p1.1.m1.1.27.2.cmml" xref="p1.1.m1.1.27.2">
<plus id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18"/>
<apply id="p1.1.m1.1.27.2.1.cmml" xref="p1.1.m1.1.27.2.1">
<times id="p1.1.m1.1.27.2.1.1.cmml" xref="p1.1.m1.1.27.2.1.1"/>
<ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">𝐻</ci>
<vector id="p1.1.m1.1.27.2.1.2.1.cmml" xref="p1.1.m1.1.27.2.1.2">
<ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">𝑋</ci>
<ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">𝑝</ci>
<ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">𝑟</ci>
</vector>
</apply>
<apply id="p1.1.m1.1.27.2.2.cmml" xref="p1.1.m1.1.27.2.2">
<times id="p1.1.m1.1.27.2.2.1.cmml" xref="p1.1.m1.1.27.2.2.1"/>
<ci id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">𝜆</ci>
<apply id="p1.1.m1.1.27.2.2.2.1.cmml" xref="p1.1.m1.1.27.2.2.2">
<csymbol cd="latexml" id="p1.1.m1.1.27.2.2.2.1.1.cmml" xref="p1.1.m1.1.20a">norm</csymbol>
<apply id="p1.1.m1.1.27.2.2.2.2.cmml" xref="p1.1.m1.1.27.2.2.2.2">
<minus id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23"/>
<ci id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">𝑋</ci>
<ci id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">𝑌</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle H(Y,p,s)\geq H(X,p,r)+\lambda||X-Y||}</annotation>
</semantics>
</math>
SVG (11.268 KB / 4.058 KB) :
SVG with PNG fallback (MathML can be enabled via browser plugin) rendering
MathML (1.275 KB / 390 B) :

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle H(Y,p,s)\geq H(X,p,r)+\lambda ||X-Y||}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>H</mi>
<mo stretchy="false">(</mo>
<mi>Y</mi>
<mo>,</mo>
<mi>p</mi>
<mo>,</mo>
<mi>s</mi>
<mo stretchy="false">)</mo>
<mo>≥<!-- ≥ --></mo>
<mi>H</mi>
<mo stretchy="false">(</mo>
<mi>X</mi>
<mo>,</mo>
<mi>p</mi>
<mo>,</mo>
<mi>r</mi>
<mo stretchy="false">)</mo>
<mo>+</mo>
<mi>λ<!-- λ --></mi>
<mrow class="MJX-TeXAtom-ORD">
<mo stretchy="false">|</mo>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mo stretchy="false">|</mo>
</mrow>
<mi>X</mi>
<mo>−<!-- − --></mo>
<mi>Y</mi>
<mrow class="MJX-TeXAtom-ORD">
<mo stretchy="false">|</mo>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mo stretchy="false">|</mo>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle H(Y,p,s)\geq H(X,p,r)+\lambda ||X-Y||}</annotation>
</semantics>
</math>
SVG (8.816 KB / 3.72 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 Viscosity solution page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results