Difference between revisions of "CurvatureVector Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|other}}
{{command|other}}
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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)''.}}
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:{{example|1=<code><nowiki>CurvatureVector((0, 0), x^2)</nowiki></code> yields vector ''(0, 2)''.}}
; CurvatureVector[ <Point>, <Curve> ]
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; 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.
:{{example|1=<code><nowiki>CurvatureVector[(0, 0), Curve[cos(t), sin(2t), t, 0, π]]</nowiki></code> yields vector ''(0, 0)''.}}
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:{{example|1=<code><nowiki>CurvatureVector((0, 0), Curve(cos(t), sin(2t), t, 0, π))</nowiki></code> yields vector ''(0, 0)''.}}
  
 
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;CurvatureVector( <Point>, <Object> )
;CurvatureVector[ <Point>, <Object> ]
 
 
: 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)''
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:*<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)''
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:*<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>}}
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:*<code><nowiki>CurvatureVector((-1, 0), Conic({1, 1, 1, 2, 2, 3}))</nowiki></code> yields vector ''(0, -2)''</div>}}
}}
 

Latest revision as of 07:54, 9 October 2017


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).


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