List of mathematic operators: Difference between revisions

Revision as of 20:44, 17 October 2023

Latest revision as of 17:18, 19 November 2024

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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>