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 dragon curve - Definition 

Dragon curve (985 bytes)
1: ...ge:Fractal dragon curve.jpg|thumb|256px|'''Dragon curve''']]
2: ...:Pavement with dragons.png|thumb|256px|The dragon curve can be tiled to fill a plane.]]
4: ...ly defined]] curve, similar in vein to the [[Koch curve|von Koch snowflake]].
15: ...p://mathworld.wolfram.com/DragonCurve.html Dragon Curve—from MathWorld]
16: .../lecnotes/node17.html Paperfolding and the Dragon curve]

Curve (10841 bytes)
3: ... line]]. A large number of other [[List of curves|curves]] have been studied in [[geometry]].
5: ...urve]]''), or [[graph of a function]] ([[Phillips curve]]).
10: ...ion makes it possible to talk about closed simple curve).
12: ...simple closed curve''' is also called a '''Jordan curve'''.
14: ... plane. These definitions also apply to algebraic curves (see below).

Fermat curve (1064 bytes)
1: ...tics]], the '''Fermat curve''' is the [[algebraic curve]] in the [[complex projective plane]] defined in ...
9: ...ns correspond to the same rational solution. This curve therefore can be used to formulate [[Fermat's Las...
11: The Fermat curve is [[non-singular]] and has [[genus (mathematics)...
15: ... curve]]). The [[Jacobian variety]] of the Fermat curves has been studied in depth.
17: [[Category:Algebraic curves]][[Category:Diophantine geometry]]

Algebraic curve (1950 bytes)
1: ...ety|dimension]] equal to 1. The theory of these [[curve]]s in general was quite fully developed in the ni...
3: ... types of ''cusp'', for example that shown by the curve with equation X<sup>3</sup> = Y<sup>2</sup> at (0...
5: ...aic geometry). If for example we simply look at a curve in the real affine plane there might be singular ...
7: .... This can serve as a definition of the genus for curves over other fields.
9: The case of genus 1 - [[elliptic curve]]s - has in itself a large number of deep and int...

Parallel (curve) (591 bytes)
1: ...a family of congruent [[circles]] centered on the curve. It generalises the concept of [[parallel (geomet...
3: ...natively, one can fix a circle and a point on the curve and take the envelope of the translations taking ...
5: A curve that is a parallel of itself is '''autoparallel''...
7: [[Category:Curves]]

Knuckle curve (1795 bytes)
1: ...eball|Major League]] history, the term '''knuckle curve''' has actually
4: ... most famous practitioner of this type of knuckle curve was Major League pitcher [[Burt Hooton]], who pla...
6: ... standard curveball. This version of the knuckle curve is currently used by Major League pitcher [[Mike ...

Roulette (curve) (1688 bytes)
1: ...ond; the generator traces out a [[curve]]. Such a curve is called a roulette.
3: ...ane]], let ''r'' and ''f'' be parametrisations of curves such that <math>|r'(t)|=|f'(t)|</math> for all '...
8: ...]] as the section rolls on a line.[http://www.mathcurve.com/courbes2d/sturm/sturm.shtml]
9: ...on as the section rolls on a line.[http://www.mathcurve.com/courbes2d/delaunay/delaunay]
12: Fixed curve is a [[catenary]], rolling curve is a [[line (mathematics)|line]]:

Pedal curve (3274 bytes)
1: ...[[curve]] derived by construction from a given [[curve]] (as is, for example, the [[involute]]).
3: ...;margin-left:1em;text-align:center">[[Image:pedal-curve-1.mng]]<br>[[Hypocycloid]] (black)<br>generates [...
5: ...all ''X'' for which ''T'' is a [[tangent]] of the curve.
7: The pedal "curve" may be disconnected; indeed, for a [[polygon]], ...
9: ...c'' a [[parametric curve|parametrisation]] of the curve then

Asymptotic curve (1125 bytes)
1: ...of [[surface]]s, an '''asymptotic curve''' is a [[curve]] always [[tangent]] to an asymptotic direction o...
3: ...ce's [[surface normal|normal]] at that point. The curve of intersection of the plane and the surface will...
5: ... quite distinct from an [[asymptote]]; asymptotic curves are embedded in their surface whereas asymptotes...
10: *[http://mathworld.wolfram.com/AsymptoticCurve.html Mathworld]
12: ....mathcurve.com/surfaces/asymptotic/asymptotic Mathcurve] (in [[French language|French]])

Demand curve (532 bytes)
1: In [[economics]], the '''demand curve''' can be defined as the [[graph]] depicting the ...

Hubbert curve (884 bytes)
1: ...ubbert]], is the [[derivative]] of the [[logistic curve]].
3: An example of a Hubbert curve is:
9: [[Image:Hubbert-curve.png|Plot of the Hubbert curve]]
11: The Hubbert curve closely resembles the shape of, but is different ...

Laffer curve (4317 bytes)
1: ...venue (taxes) by setting an optimal tax rate. The curve is clearly accurate at both extremes of taxation ...
9: ...nt was operating on the ''left-hand'' side of the curve, so a tax cut would thus lower revenue. The cent...
11: ...erson's perspective on the validity of the Laffer curve will be influenced by the marginal tax rate to wh...
15: ...supply-side economics, maintained that the Laffer curve was not to be taken literally - at least not in t...
17: ...d been explaining that there is no literal Laffer curve."

Koch curve (2260 bytes)
3: ...wflake''' (or '''Koch star''') is the same as the curve, except it starts with an [[equilateral triangle]...
14: The Koch curve is in the limit approached as the above steps are...
16: ... {1} but smaller than [[Peano]]'s [[Space-filling curve]] {2}).
18: The Koch curve is [[continuous function|continuous]], but not [[...
21: |[[Image:Koch curve.GIF|center|]]

Indifference curve (5743 bytes)
1: In [[microeconomics]], an '''indifference curve''' is a [[graph of a function|graph]] showing com...
3: ...inations would all lie on the same indifference [[curve]].
7: The theory of indifference curves was developed by [[Francis Ysidro Edgeworth|Edge...
9: == Indifference Curve Properties ==
11: Indifference curves are typically assumed to have the following feat...

Light curve (1413 bytes)
3: In [[astronomy]], a '''light curve''' is a graph of light intensity as a function of...
5: ...other variables, or [[aperiodic]], like the light curve of a [[nova]], a [[cataclysmic variable star]] or...
7: The study of the light curve, together with other observations, can yield cons...
9: ...e it is unclear whether there is one or two light curve peaks per rotation period.

Tautochrone curve (747 bytes)
1: A '''tautochrone curve''' is the curve for which the time taken by a particle sliding do...
3: ...ed to attack the problem of the [[brachistochrone curve]].
8: [[Category:Curves]] [[fr:courbe tautochrone]]

Paschen curve (688 bytes)
3: In [[electrostatics]], the '''Paschen curve''' is a theoretical relationship for the direct-c...

Kruithof curve (1093 bytes)
1: ... levels that can be summarised in the '''Kruithof curve''', named after [[A. A. Kruithof]].
5: ... temperature, illuminance level, and the Kruithof curve. Journal of the Illuminating Engineering Society...

Brachistochrone curve (2909 bytes)
2: ...t point with zero speed and passes down along the curve to the second point, under the action of constant...
6: ...passes through ''B''. This is the brachistochrone curve.
11: ... ''A'', or if friction is taken into account, the curve that minimizes time will differ from the one desc...
15: ...eference to the previously analysed [[tautochrone curve]]) before posing it to readers of ''Acta Eruditor...
28: * [[Tautochrone curve]]

Phillips curve (9519 bytes)
1: ...les showed a downward sloping curve, the Phillips curve (PC).
3: ... believe that the PC should be called the "Fisher curve."
5: ...'''A''' in the diagram. Moving along the Phillips curve, this would lead to a higher inflation rate, the ...
11: ...on]]. The original theories based on the Phillips curve suggested that this could not happen, and the ide...
13: ...distinguished between the ''short-term'' Phillips curve and the ''long-term'' one. The short-term PC look...

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "dragon curve".