Difference between revisions of "Curvature Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|other}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|other}}
;Curvature[ <Point>, <Function> ]
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;Curvature( <Point>, <Function> )
 
: Calculates the curvature of the function in the given point.
 
: Calculates the curvature of the function in the given point.
 
:{{example|1=<code><nowiki>Curvature[(0 ,0), x^2]</nowiki></code> yields ''2''.}}
 
:{{example|1=<code><nowiki>Curvature[(0 ,0), x^2]</nowiki></code> yields ''2''.}}
;Curvature[ <Point>, <Curve> ]
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;Curvature( <Point>, <Curve> )
 
: Calculates the curvature of the curve in the given point.
 
: Calculates the curvature of the curve in the given point.
 
:{{example|1=<code><nowiki>Curvature[(0, 0), Curve[cos(t), sin(2t), t, 0, π]]</nowiki></code> yields ''0''.}}
 
:{{example|1=<code><nowiki>Curvature[(0, 0), Curve[cos(t), sin(2t), t, 0, π]]</nowiki></code> yields ''0''.}}
;Curvature[ <Point>, <Object> ]
+
;Curvature( <Point>, <Object> )
 
: Yields the curvature of the object (function, curve, conic) in the given point.
 
: Yields the curvature of the object (function, curve, conic) in the given point.
 
:{{examples|1=<div>
 
:{{examples|1=<div>

Revision as of 17:16, 7 October 2017


Curvature( <Point>, <Function> )
Calculates the curvature of the function in the given point.
Example: Curvature[(0 ,0), x^2] yields 2.
Curvature( <Point>, <Curve> )
Calculates the curvature of the curve in the given point.
Example: Curvature[(0, 0), Curve[cos(t), sin(2t), t, 0, π]] yields 0.
Curvature( <Point>, <Object> )
Yields the curvature of the object (function, curve, conic) in the given point.
Examples:
  • Curvature[(0 ,0), x^2] yields 2
  • Curvature[(0, 0), Curve[cos(t), sin(2t), t, 0, π]] yields 0
  • Curvature[(-1, 0), Conic[{1, 1, 1, 2, 2, 3}]] yields 2
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