sphere-packing bound

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• Sphere packing — In mathematics, sphere packing problems are problems concerning arrangements of non overlapping identical spheres which fill a space. Usually the space involved is three dimensional Euclidean space. However, sphere packing problems can be… …   Wikipedia

• Packing problem — Part of a series on Puzzles …   Wikipedia

• Hamming bound — In mathematics and computer science, in the field of coding theory, the Hamming bound is a limit on the parameters of an arbitrary block code: it is also known as the sphere packing bound or the volume bound from an interpretation in terms of… …   Wikipedia

• Circle packing theorem — Example of the circle packing theorem on K5, the complete graph on five vertices, minus one edge. The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane …   Wikipedia

• 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

• Kepler conjecture — In mathematics, the Kepler conjecture is a conjecture about sphere packing in three dimensional Euclidean space. It says that no arrangement of equally sized spheres filling space has a greater average density than that of the cubic close packing …   Wikipedia

• Additive white Gaussian noise — Explanation= In communications, the additive white Gaussian noise (AWGN) channel model is one in which the only impairment is the linear addition of wideband or white noise with a constant spectral density (expressed as watts per hertz of… …   Wikipedia

• Cutting stock problem — The cutting stock problem is an optimization problem, or more specifically, an integer linear programming problem. It arises from many applications in industry. Imagine that you work in a paper mill and you have a number of rolls of paper of… …   Wikipedia

• List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia

• Deriving the volume of an n-ball — In geometry, the volume of a sphere is a special case of the n dimensional volume of a ball in n dimensional Euclidean space. Contents 1 Derivation of the volume of an n ball 1.1 Base cases 1.2 General case …   Wikipedia

• Richard Hamming — Infobox Scientist name = Richard Wesley Hamming image width = caption = birth date = birth date|1915|2|11|mf=y birth place = Chicago, Illinois death date = death date and age|1998|1|7|1915|2|11 death place = Monterey, California residence =… …   Wikipedia