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Encyclopedia > List of curves

This is a list of curves, by Wikipedia page. See also list of curve topics. In mathematics, the concept of a curve tries to capture the intuitive idea of a geometrical one-dimensional and continuous object. ... This is a list of curve topics in mathematics, by Wikipedia page. ...

## Constructions

Categories: Math stubs | Curves | Fractals ... The first four iterations of the Koch snowflake. ... In mathematics, the LÃ©vy C curve is a self similar fractal that was first described and whose differentiability properties were analysed by E.Cesaro in 1906 and G. Farber in 1910, but now bears the name of French mathematician Paul LÃ©vy, who was the first to describe its...

## Curves of mathematical analysis

Analysis is the generic name given to any branch of mathematics which depends upon the concepts of limits and convergence, and studies closely related topics such as continuity, integration, differentiability and transcendental functions. ... In mathematics, the concept of a curve tries to capture our intuitive idea of a geometrical one-dimensional and continuous object. ... In mathematics, the concept of a curve tries to capture our intuitive idea of a geometrical one-dimensional and continuous object. ... In topology, the Jordan curve theorem states that every non-self-intersecting loop in the plane divides the plane into an inside and an outside. The precise mathematical statement is as follows. ... For other uses, see Curve (disambiguation). ... In mathematics, the concept of a curve tries to capture our intuitive idea of a geometrical one-dimensional and continuous object. ... Space-filling curves or Peano curves are curves, first described by Giuseppe Peano, whose ranges contain the entire 2-dimensional unit square (or the 3-dimensional unit cube). ... A curve which describes a closed path which contains every interior point of a square. ...

## Piecewise constructions

In mathematics, a function f(x) of a real number variable x is defined piecewise, if f(x) is given by different expressions on various intervals. ... In the mathematical subfield of numerical analysis a Bézier curve is a parametric curve important in computer graphics. ... In the mathematical subfield of numerical analysis a spline is a special function defined piecewise by polynomials. ... In the mathematical subfield of numerical analysis a B-spline is a special spline curve. ... NURBS, short for non uniform rational B-spline, is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces. ... Ogee Arch Ogee is a shape consisting of a concave arc flowing into a convex arc, so forming an S-shaped curve with vertical ends. ... Loess curve is a statistical technique for plotting a smooth curve through a set of data points in a scattergram. ... Lowess is a statistical technique for plotting a smooth curve through a set of data points in a scattergram. ... The Reuleaux triangle is a constant width curve based on an equilateral triangle. ...

## Algebraic curves

See also Riemann surface In algebraic geometry, an algebraic curve is an algebraic variety of dimension equal to 1. ... In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex manifold. ...

In mathematics, the projective line is a fundamental example of an algebraic curve. ... In mathematics, a cubic curve is a plane curve C defined by a cubic equation F(X,Y,Z) = 0 applied to homogeneous coordinates [X:Y:Z] for the projective plane; or the inhomogeneous version for the affine space determined by setting Z = 1 in such an equation. ... In mathematics, an elliptic curve is a plane curve defined by an equation of the form y2 = x3 + a x + b, which is non-singular; that is, its graph has no cusps or self-intersections. ... In algebraic geometry, a hyperelliptic curve (over the complex numbers) is an algebraic curve given by an equation of the form where f(x) is a polynomial of degree n > 4 with n distinct roots. ... In mathematics, a modular curve is a Riemann surface, or corresponding algebraic curve, constructed as HΓ where H is the upper half-plane in the complex numbers, and Γ is a Fuchsian group acting on H, with Γ a subgroup of the modular group of integral 2×2 matrices. ... In mathematics, the Fermat curve is the algebraic curve in the complex projective plane defined in homogeneous coordinates (X:Y:Z) by the Fermat equation Xn + Yn = Zn. ... The Klein quartic x3y + y3z + z3x = 0, named after Felix Klein, is a Riemann surface, and an algebraic curve of genus 3 over the complex numbers C. The Klein quartic has automorphism group isomorphic to the projective special linear group G = PSL(2,7). ... In mathematics, the concept of a curve tries to capture our intuitive idea of a geometrical one-dimensional and continuous object. ... In mathematics, the concept of a curve tries to capture our intuitive idea of a geometrical one-dimensional and continuous object. ... In mathematics, a modular curve is a Riemann surface, or corresponding algebraic curve, constructed as HΓ where H is the upper half-plane in the complex numbers, and Γ is a Fuchsian group acting on H, with Γ a subgroup of the modular group of integral 2×2 matrices. ...

## Named graphs

Economics

Other The Backward Bending Supply Curve of Labour This curve shows how the change in real wage rates affects the amount of hours worked by employees. ... A contract curve is the set of all points in an Edgeworth box that are Pareto efficient. ... A cost curve is a graph of the costs of production as a function of total quantity produced. ... In economics, the demand curve can be defined as the graph depicting the relationship between the price of a certain commodity, and the amount of it that consumers are willing and able to purchase at that given price. ... In economics, the compensated demand curve that shows how the substitution effect influences the number of units of a good the consumer will purchase. ... In economics, an Engel curve shows how the demand for a good or service changes as the consumers income level changes. ... In microeconomics, an indifference curve is a graph showing combinations of two goods to which an economic agent (such as a consumer or firm) is indifferent, that is, it has no preference for one combination over the other. ... t* represents the rate of taxation at which maximal revenue is generated. ... The Lorenz curve was developed by Max O. Lorenz in 1905 as a graphical representation of income distribution. ... In macroeconomics, the Phillips curve is a supposed inverse relationship between inflation and unemployment. ... Results from FactBites:

 differential geometry of curves: Information From Answers.com (1176 words) curves and are central objects studied in the differential geometry of curves. The length of a curve is invariant under reparametrization and therefore a differential geometric property of the curve. Since it points along the forward direction of the curve (the direction of increasing parameter), the unit tangent vector introduces an orientation of the curve.
 Curves of Millersville, Millersville, MD (453 words) Curves is the largest fitness franchise in the world with over 8,000 locations worldwide. Curves Clubs can be found in the United States, Canada, Europe, South America, The Caribbean, Mexico, Australia, New Zealand and we're still growing. Curves is a trademark of Curves International, Inc. in the United States and/or other countries.
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