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Display information for equation id:math.232677.12 on revision:232677

* Page found: Sobolev space (eq math.232677.12)

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Occurrences on the following pages:

Hash: bb6ba788660604e6ecdd6d1fd3d53707

TeX (original user input):

\langle u,v\rangle_{H^k} = \sum_{i=0}^k \left \langle D^i u,D^i v \right \rangle_{L^2}.

TeX (checked):

\langle u,v\rangle _{H^{k}}=\sum _{i=0}^{k}\left\langle D^{i}u,D^{i}v\right\rangle _{L^{2}}.

LaTeXML (experimental; uses MathML) rendering

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SVG (12.909 KB / 4.479 KB) :

mathematical left-angle u comma v mathematical right-angle Subscript upper H Sub Superscript k Subscript Baseline equals sigma-summation Underscript i equals 0 Overscript k Endscripts mathematical left-angle upper D Superscript i Baseline times u comma upper D Superscript i Baseline times v mathematical right-angle Subscript upper L squared Baseline period

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Translations to Computer Algebra Systems

Translation to Maple

In Maple:

[ERROR] java.lang.IllegalArgumentException: java.lang.ClassCastException@5246835d

Translation to Mathematica

In Mathematica:

[ERROR] java.lang.IllegalArgumentException: java.lang.ClassCastException@5246835d

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