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 jordan curve theorem - Definition 

Jordan curve theorem (2127 bytes)
1: In [[topology]], the '''Jordan curve theorem''' states that every non-self-intersecting loop i...
3: ... a [[curve|simple closed]] curve (i.e. a [[Jordan curve]]) in the plane '''R'''<sup>2</sup>. Then the [[c...
5: ...incorrect proof was originally given by [[Camille Jordan]]. The first correct proof is generally credited...
7: There is a generalisation of the Jordan curve theorem to higher dimensions.
13: ...s a much stronger statement than the Jordan curve theorem. This generalisation is false in higher dimensio...

Jordan-Schönflies theorem (969 bytes)
1: ... topology]] is a sharpening of the [[Jordan curve theorem]] in two [[dimension]]s.
3: ...of a [[homeomorphism]]) to make the simple closed curve become a circle.
5: Such a theorem is only valid in two dimensions. In three dimensi...

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).

Curve of pursuit (902 bytes)
1: ...ers and pursuees, and the curve of pursuit is the curve traced by the pursuers.
6: Typical drawings of curves of pursuit have each point acting as both pursue...
11: *[http://mathworld.wolfram.com/PursuitCurve.html Mathworld], with a slightly narrower definit...

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."

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.

Cubic curve (2088 bytes)
1: ...[[mathematics]], a '''cubic curve''' is a [[plane curve]] ''C'' defined by a cubic equation
9: ...s through ''P''. Therefore we can find some cubic curve through any nine given points.
11: ...ne by drawing the curve. The real points of cubic curves were studied by [[Newton]]; they fall into one o...
13: ...ierstrass form. For example, there are many cubic curves that have no such point, when ''K'' is the [[rat...

Bézier curve (9433 bytes)
1: ...ty|numerically stable]] method to evaluate Bézier curves is [[de Casteljau's algorithm]].
3: Generalizations of Bézier curves to higher [[dimension]]s are called [[Bézier sur...
5: Bézier curves are also formed by many common forms of [[string...
9: ...o used them to design [[automobile]] bodies. The curves were developed in [[1959]] by [[Paul de Castelja...
13: ...Bézier curve''' of degree ''n'' is a [[parametric curve]]

Curve (magazine) (615 bytes)
1: '''''Curve''''' is the best-selling [[lesbian]] [[List of ga...
10: * [http://www.curvemag.com/ Website]

Horseshoe Curve (2181 bytes)
1: ...jpg|300px|right|thumb|Satellite view of Horseshoe Curve, west of Altoona, Pennsylvania. The uphill grade...
3: ...ghtening to 609 ft (186 m) on the south side. The curve was built in response to the difficulty of constr...
5: ...ail removed one of the tracks in [[1981]] and the Curve remains in this three-track configuration. It ha...
7: ...ring [[World War II]] would have blown it up. The curve was designated as a [[National Historic Landmark]...
9: ...a's [[minor league baseball]] team, the [[Altoona Curve]].

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]]).

Lévy C curve (1969 bytes)
1: [[Image:Levy C Curve final.gif|thumb|Lévy C curve (after the first 12 stages)]]
2: ... [[Paul Lévy]] in his 1938 paper ''Plane or Space Curves and Surfaces Consisting of Parts Similar to the ...
5: The construction of the C curve starts with a straight line. An [[isosceles]] tri...
7: ...ir respective triangle. So, after two stages, the curve takes the appearance of three sides of a rectangl...
9: ...eles triangle built on it. After ''n'' stages the curve consists of 2<sup>''n''</sup> line segments, each...

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==

Kuznets curve (2597 bytes)
1: ...rkets. Kuznets curve diagrams show an inverted U curve, although variables along the axes are often mixe...
3: ...[Image: Kuznets_curve.jpg|thumb|150px|The Kuznets curve]]
4: ...onomics|Marxists]] to further explain the Kuznets curve.
6: ===Environmental Kuznets curve===
7: Another situation where Kuznets type curves appear is the [[environment]]. It is claimed tha...

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...

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 ...

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

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]

Keeling Curve (691 bytes)
1: ...ke of CO2 by the world's vegetation. The Keeling Curve has most notably been interpreted as a signal of ...
5: http://earthguide.ucsd.edu/globalchange/keeling_curve/01.html
6: http://cdrg.ucsd.edu/keeling_curve.html

Bell curve (321 bytes)
1: ... '''''the bell curve''''' or '''''the bell-shaped curve'''''; see [[normal distribution]].
2: * ''[[The Bell Curve]]'' is a [[controversial book]] that examines the...

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