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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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