List of mathematic operators: Difference between revisions

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{{shortShort description|Wikipedia list articlenone}}

In [[mathematics]], an [[operator (mathematics)|operator]] or [[transformation (mathematics)|transform]] is a [[function (mathematics)|function]] from one [[function space|space of functions]] to another. Operators occur commonly in [[engineering]], [[physics]] and mathematics. Many are [[integral operator]]s and [[differential operator]]s.

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| <math>F[r]= \int_a^t \sqrt { r^2 + r'^2 }\, dt</math>||Polar||<math>r=r(\phi)</math><br><math>\phi=t</math>

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| <math>F[x,y] = \int_a^t\sqrt[3]{y''}\, dt </math> || Cartesian||<math>y=y(x)</math><br><math>x=t</math>||rowspan=3|[[Affine curvature|Affine arc length]]

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| <math>F[x,y] = \int_a^t\sqrt[3]{x'y''-x''y'}\, dt </math> || Parametric<br>Cartesian||<math>x=x(t)</math><br><math>y=y(t)</math>

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| <math>F[x,y,z]=\int_a^t\sqrt[3]{z'''(x'y''-y'x'')+z''(x'''y'-x'y''')+z'(x''y'''-x'''y'')}dt</math>||Parametric<br>Cartesian||<math>x=x(t)</math><br><math>y=y(t)</math><br><math>z=z(t)</math>

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| <math>F[y]=\frac{y''}{(1+y'^2)^{3/2}}</math>||Cartesian||<math>y=y(x)</math><br><math>x=t</math>|| rowspan=4|[[Curvature]]

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* [[Fredholm operator]]

* [[Borel summation|Borel transform]]

* [[TableGlossary of mathematical symbols]]

[[Category:Mathematics-related lists|Operators]]

[[Category:Functional analysis|Operators]]

[[Category:Curves|Operators]]