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 lissajous curve - Definition 

Lissajous curve (2546 bytes)
1: ...s curve''' ('''Lissajous figure''' or '''Bowditch curve''') is the graph of the system of [[parametric e...
5: ...15]], and later in more detail by [[Jules Antoine Lissajous]].
7: ...n as [[Lissajous knot]]s, project to the plane as Lissajous figures.
9: Lissajous figures are sometimes used in [[graphic design]] ...
11: Lissajous curves can be traced mechanically by means of a [[harmo...

Jules Antoine Lissajous (378 bytes)
1: ...rench mathematician, after whom [[Lissajous curve|Lissajous figure]]s are named. He invented the [[harmonogr...
5: [[Category:1822 births|Lissajous, Jules Antoine]]
6: [[Category:1880 deaths|Lissajous, Jules Antoine]]
8: [[de:Jules Antoine Lissajous]]
9: [[pl:Jules Antoine Lissajous]]

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).

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

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]])

Hyperelliptic curve (2175 bytes)
1: ... (over the [[complex numbers]]) is an [[algebraic curve]] given by an equation of the form
3: ...e; or possibly on the [[Jacobian variety]] on the curve, these being two concepts that are the same for t...
5: ...nomial, then the resulting curve is an [[elliptic curve]].
7: ...polynomial of degree 2''g''+1 or 2''g''+2 gives a curve of genus ''g''.
9: ...point at infinity can be removed (since this is a curve) by the [[normalization]] ([[integral closure]]) ...

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]]

Transcendental curve (1401 bytes)
1: ...rve]]s and [[elliptic function]]s; and in fact to curves of [[genus (mathematics)|genus]] > 1 and [[autom...
3: ...idal]] curves, therefore; but to large classes of curves showing oscillations.
5: Other examples of transcendental curves are plots of [[Cycloid]]s, and the [[Exponential...

Calibration curve (1355 bytes)
1: A '''calibration curve''' is a graphical display of the functional relat...
3: In [[analytical chemistry]], a [[calibration curve]] is a standard method for determining the concen...
8: ...s of a control treatment (such as a dose-survival curve in [[clonogenic assay]]).

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]]

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

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]

French curve (206 bytes)
1: ... and composed of successive segments of geometric curves.

Kappa curve (1476 bytes)
1: ...curve with asymptotes - by Pt.png|frame|The kappa curve has two vertical [[asymptote]]s.]]
2: ...hoven's curve''' is a two-dimensional [[algebraic curve]] resembling the [[Greek alphabet|Greek letter]] ...
19: The kappa curve's [[curvature]]:
25: The kappa curve was first studied by [[Gérard van Gutschoven]] ar...
29: *[http://mathworld.wolfram.com/KappaCurve.html The corresponding MathWorld article]

Engel curve (802 bytes)
1: In [[economics]], an '''Engel curve''' shows how the demand for a good or service cha...
3: Graphically, the Engel curve is represented in the first-quadrant of the [[car...
5: ...ded increases. For [[inferior goods]], the Engel curve has a negative slope. That means that as the con...

Standard curve (1486 bytes)
1: A '''standard curve''' is a quantitative research tool, a method of p...
3: ...ar to that being measured. For example a standard curve for protein concentration is often created using ...
5: ...ance and follows a line to intersect the standard curve. The corresponding value on the X-axis is the con...

Contract curve (271 bytes)
1: A '''contract curve''' is the set of all points in an [[Edgeworth box...
6: ...onomics.about.com/library/glossary/bldef-contract-curve.htm

Yield curve (8751 bytes)
1: ...nance. For the term's use in physics, see [[yield curve (physics)]]''.
3: ...rrowed for five years. In this case the [[yield]] curve, usually represented by a graph of time against i...
5: ...eek trading opportunities. [[Economist]]s use the curves to understand economic conditions.
7: Yield curves carry an implicit forecast of future short-term ...
10: ==The typical shape of a yield curve==

Modular curve (2634 bytes)
1: ...[[Riemann surface]], or corresponding [[algebraic curve]], constructed as
6: ...t is usually, more strictly, meant by a ''modular curve''.
8: ...s with a given basis for the ''N''-torsion. These curves have been studied in great detail.
10: ...ion field''' is a [[function field]] of a modular curve (or, occasionally, of some other [[moduli space]]...
12: ...s [[correspondence]]s connecting pairs of modular 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 ...

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