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bound curves

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  • Hilbert's sixteenth problem — was posed by David Hilbert at the Paris conference of the International Congress of Mathematicians in 1900, together with the other 22 problems. The original problem was posed as the Problem of the topology of algebraic curves and surfaces (… …   Wikipedia

  • boundary — bound|a|ry W3S2 [ˈbaundəri] n plural boundaries [Date: 1600 1700; Origin: BOUND41] 1.) the real or imaginary line that marks the edge of a state, country etc, or the edge of an area of land that belongs to someone boundary between ▪ The… …   Dictionary of contemporary English

  • Mathematics and Physical Sciences — ▪ 2003 Introduction Mathematics       Mathematics in 2002 was marked by two discoveries in number theory. The first may have practical implications; the second satisfied a 150 year old curiosity.       Computer scientist Manindra Agrawal of the… …   Universalium

  • Logic and the philosophy of mathematics in the nineteenth century — John Stillwell INTRODUCTION In its history of over two thousand years, mathematics has seldom been disturbed by philosophical disputes. Ever since Plato, who is said to have put the slogan ‘Let no one who is not a geometer enter here’ over the… …   History of philosophy

  • Extremal length — In the mathematical theory of conformal and quasiconformal mappings, the extremal length of a collection of curves Gamma is a conformal invariant of Gamma. More specifically, suppose thatD is an open set in the complex plane and Gamma is a… …   Wikipedia

  • Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

  • Dark matter — Not to be confused with antimatter, dark energy, dark fluid or dark flow. For other uses, see Dark Matter (disambiguation) …   Wikipedia

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  • Space-filling curve — 3 iterations of a Peano curve construction, whose limit is a space filling curve. In mathematical analysis, a space filling curve is a curve whose range contains the entire 2 dimensional unit square (or more generally an N dimensional hypercube) …   Wikipedia

  • K-set (geometry) — In discrete geometry, a k set of a finite point set S in the Euclidean plane is a subset of k elements of S that can be strictly separated from the remaining points by a line. More generally, in Euclidean space of higher dimensions, a k set of a… …   Wikipedia

  • Arc length — Determining the length of an irregular arc segment is also called rectification of a curve. Historically, many methods were used for specific curves. The advent of infinitesimal calculus led to a general formula that provides closed form… …   Wikipedia

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