Difference between revisions of "CurvatureVector Command"

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; CurvatureVector[ <Point>, <Function> ]
 
; CurvatureVector[ <Point>, <Function> ]
 
: Yields the curvature vector of the function in the given point.
 
: Yields the curvature vector of the function in the given point.
:{{example|1=<code><nowiki>CurvatureVector[(0,0), x^2]</nowiki></code> yields vector ''(0, 2)''.}}
+
:{{example|1=<code><nowiki>CurvatureVector[(0, 0), x^2]</nowiki></code> yields vector ''(0, 2)''.}}
 
; CurvatureVector[ <Point>, <Curve> ]
 
; CurvatureVector[ <Point>, <Curve> ]
 
: Yields the curvature vector of the curve in the given point.
 
: Yields the curvature vector of the curve in the given point.
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: Yields the curvature vector of the object (function, curve, conic) in the given point.
 
: Yields the curvature vector of the object (function, curve, conic) in the given point.
 
:{{examples|1=<div>
 
:{{examples|1=<div>
:*<code><nowiki>CurvatureVector[(0 ,0), x^2]</nowiki></code> yields vector ''(0, 2)''
+
:*<code><nowiki>CurvatureVector[(0, 0), x^2]</nowiki></code> yields vector ''(0, 2)''
 
:*<code><nowiki>CurvatureVector[(0, 0), Curve[cos(t), sin(2t), t, 0, π]]</nowiki></code> yields vector ''(0, 0)''
 
:*<code><nowiki>CurvatureVector[(0, 0), Curve[cos(t), sin(2t), t, 0, π]]</nowiki></code> yields vector ''(0, 0)''
 
:*<code><nowiki>CurvatureVector[(-1, 0), Conic[{1, 1, 1, 2, 2, 3}]]</nowiki></code> yields vector ''(0, -2)''</div>}}
 
:*<code><nowiki>CurvatureVector[(-1, 0), Conic[{1, 1, 1, 2, 2, 3}]]</nowiki></code> yields vector ''(0, -2)''</div>}}
 
}}
 
}}

Revision as of 08:00, 25 August 2014



CurvatureVector[ <Point>, <Function> ]
Yields the curvature vector of the function in the given point.
Example: CurvatureVector[(0, 0), x^2] yields vector (0, 2).
CurvatureVector[ <Point>, <Curve> ]
Yields the curvature vector of the curve in the given point.
Example: CurvatureVector[(0, 0), Curve[cos(t), sin(2t), t, 0, π]] yields vector (0, 0).


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