List of mathematic operators: Difference between revisions

Revision as of 02:24, 24 June 2017

Revision as of 19:03, 15 July 2017

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! style="background:#eafaea" colspan=4|Linear transformations

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| <math>L[y]=y^{(n)} \ </math>|| || ||Derivative of ''n''th order

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| <math>L[y]=\int_a^t y \,dt</math> ||Cartesian||<math>y=y(x)</math><br><math>x=t</math>|| Integral, area

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| <math>L[y]=\sum y=\Delta^{-1}y</math>|| || ||[[Indefinite sum]] operator (inverse operator of difference)

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| <math>L[y] =-(py')'+qy \,</math>|| || ||[[Sturm–Liouville operator]]

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! style="background:#eafaea" colspan=4|Non-linear transformations

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| <math>F[y]=y^{[-1]} \ </math> || || ||[[Inverse function]]

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| <math>F[y]=t\,y'^{[-1]} - y\circ y'^{[-1]} </math>|| || ||[[Legendre transformation]]