List of mathematic operators: Difference between revisions

Revision as of 07:13, 19 April 2009

Revision as of 08:00, 19 April 2009

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| <math>X[x,y]=x+\frac{ay'}{\sqrt {x'^2+y'^2}}</math><br><br><math>Y[x,y]=y-\frac{ax'}{\sqrt {x'^2+y'^2}}</math>||Parametric<br>Cartesian||<math>x=x(t)</math><br><math>y=y(t)</math>||[[Parallel curve]]

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| <math>X[x,y]=t-x+y'\frac{1x'^2+y'^2}{x''y'-y''x'}</math><br><br><math>Y[x,y]=y+x'\frac{1x'^2+y'^2}{y''x'-x''y'}</math>||Parametric<br>Cartesian||<math>yx=y(x(t)</math><br><math>xy=y(t)</math>||rowspan=32|[[Evolute]]

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| <math>X[x,y]=x+y'\frac{x'^2+y'^2}{x''y'-y''x'}</math><br><br><math>Y[x,y]=y+x'\frac{x'^2+y'^2}{y''x'-x''y'}</math>||Parametric<br>Cartesian||<math>x=x(t)</math><br><math>y=y(t)</math>

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| <math>F[r]=t r'\circ r^{[-1]}</math>||Intrinsic||<math>r=r(s)</math><br><math>s=t</math>