https://en.formulasearchengine.com/api.php?action=feedcontributions&feedformat=atom&user=152.17.129.116 2026-05-02T03:34:24Z User contributions MediaWiki 1.43.0-wmf.28 https://en.formulasearchengine.com/index.php?title=Signed_number_representations&diff=5704 2014-02-03T22:32:16Z

<p>152.17.129.116: /* Signed magnitude representation */</p> <hr /> <div>{{refimprove|date=September 2012}}<br /> [[File:Radiodrome-simple-y-bw.png|thumb|100px|right|Simple pursuit curve]]<br /> [[Image:Radiodrome-params-colour.png|thumb|250px|right|Curves of pursuit with different parameters]]<br /> A '''curve of pursuit''' is a [[curve]] constructed by analogy to having a [[point (geometry)|point]] or points representing pursuers and pursuees; the curve of pursuit is the curve traced by the pursuers.<br /> <br /> With the paths of the pursuer and pursuee parameterized in time, the pursuee is always on the pursuer's [[tangent]]. That is, given ''F''(''t'') the pursuer (follower) and ''L''(''t'') the pursuee (leader), there is for every ''t'' with ''F''′(''t'')&amp;nbsp;≠&amp;nbsp;0 an ''x'' such that<br /> <br /> :&lt;math&gt;L(t)=F(t)+xF^\prime(t). \, &lt;/math&gt;<br /> <br /> ==Multiple pursuers==<br /> [[Image:Four point pursuit curve.gif|thumb|left|baseline|150px|animation|Curve of pursuit of [[vertex (geometry)|vertices]] of a square (the [[mice problem]] for n=4).]]<br /> Typical drawings of curves of pursuit have each point acting as both pursuer and pursuee, inside a [[polygon]], and having each pursuer pursue the adjacent point on the polygon. An example of this is the [[mice problem]].<br /> {{-}}<br /> <br /> == See also ==<br /> <br /> *[[Radiodrome]]<br /> *[[Logarithmic spiral]]<br /> *[[Tractrix]]<br /> <br /> ==External links==<br /> {{Commons|Curve of pursuit}}<br /> *[http://mathworld.wolfram.com/PursuitCurve.html Mathworld], with a slightly narrower definition that |''L''&amp;prime;(''t'')| and |''F''&amp;prime;(''t'')| are constant<br /> *[http://www-history.mcs.st-and.ac.uk/Curves/Pursuit.html MacTutor Pursuit curve]<br /> <br /> {{Differential transforms of plane curves}}<br /> <br /> [[Category:Curves]]<br /> <br /> {{geometry-stub}}</div>

152.17.129.116