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Spherical code information


In geometry and coding theory, a spherical code with parameters (n,N,t) is a set of N points on the unit hypersphere in n dimensions for which the dot product of unit vectors from the origin to any two points is less than or equal to t. The kissing number problem may be stated as the problem of finding the maximal N for a given n for which a spherical code with parameters (n,N,1/2) exists. The Tammes problem may be stated as the problem of finding a spherical code with minimal t for given n and N.

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Spherical code

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In geometry and coding theory, a spherical code with parameters (n,N,t) is a set of N points on the unit hypersphere in n dimensions for which the dot...

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Spherical cow

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The spherical cow is a humorous metaphor for highly simplified scientific models of complex phenomena. Originating in theoretical physics, the metaphor...

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Spherical trigonometry

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Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles...

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Spherical packing

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Spherical packing may refer to: Sphere packing Spherical code This disambiguation page lists articles associated with the title Spherical packing. If...

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Regular icosahedron

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particles on a sphere, and for the Tammes problem of constructing a spherical code maximizing the smallest distance among the points, the minimum solution...

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Leech lattice

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give very efficient 24-dimensional spherical codes of 729, 4096 and 196560 points, respectively. Spherical codes are higher-dimensional analogues of...

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Web Mercator projection

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Web Mercator, Google Web Mercator, Spherical Mercator, WGS 84 Web Mercator or WGS 84/Pseudo-Mercator is a variant of the Mercator map projection and is...

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Spherical design

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A spherical design, part of combinatorial design theory in mathematics, is a finite set of N points on the d-dimensional unit d-sphere Sd such that the...

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Tammes problem

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solutions for many other cases, including those in higher dimensions. Spherical code Kissing number problem Cylinder sphere packings Pieter Merkus Lambertus...

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Kissing number

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to minimise the polynomial in terms of the y. Equilateral dimension Spherical code Soddy's hexlet Cylinder sphere packing Conway, John H.; Neil J.A. Sloane...

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Codes for electromagnetic scattering by spheres

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by spherical particles, relevant links, and applications. Algorithmic literature includes several contributions Discrete dipole approximation codes Codes...

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Geographic coordinate system

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A geographic coordinate system (GCS) is a spherical or geodetic coordinate system for measuring and communicating positions directly on Earth as latitude...

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Triaugmented triangular prism

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particles on a sphere, and for the Tammes problem of constructing a spherical code maximizing the smallest distance among the points, the minimum solution...

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Horton sphere

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(sometimes spelled Hortonsphere), also referred to as a spherical tank or simply sphere, is a spherical pressure vessel, which is used for industrial-scale...

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Football

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inventor Charles Goodyear – who had patented vulcanised rubber – exhibited a spherical football, with an exterior of vulcanised rubber panels, at the Paris Exhibition...

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Superquadrics

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)\\z&=z_{0}+r\cos \theta \end{aligned}}} which give rise to the name spherical product. Barr uses the spherical product to define quadric surfaces, like ellipsoids, and...

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Holland Codes

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The Holland Codes or the Holland Occupational Themes (RIASEC) refers to a taxonomy of interests based on a theory of careers and vocational choice that...

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VSH

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VSH may refer to: Vector spherical harmonics Very smooth hash, in cryptography VSH News, a Pakistani television station XrossMediaBar (Sony codename:...

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Circular mean

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{\text{and }}{\bar {R}}=\|{\bar {x}}\|,} A weighted spherical mean can be defined based on spherical linear interpolation. Center of mass Centroid Circular...

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Calcium carbonate

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having characteristic narrow particle size distributions and equivalent spherical diameters of 0.4 to 3 micrometers.[citation needed] Calcium carbonate...

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Pressure vessel

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thickness. For example, the ASME Boiler and Pressure Vessel Code (BPVC) (UG-27) formulas are: Spherical shells: Thickness has to be less than 0.356 times inner...

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Atmospheric radiative transfer codes

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Degenstein, D.A.; Llewellyn, E.J. (2008). "SASKTRAN: A spherical geometry radiative transfer code for efficient estimation of limb scattered sunlight"....

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Location

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latitude and longitude in a Cartesian coordinate grid (for example, a spherical coordinate system or an ellipsoid-based system such as the World Geodetic...

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360 video projection

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any of many ways to map a spherical field of view to a flat image. It is used to encode and deliver the effect of a spherical, 360-degree image to viewers...

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Ball

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A ball is a round object (usually spherical, but can sometimes be ovoid) with several uses. It is used in ball games, where the play of the game follows...

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Hypromellose

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"Hydroxypropyl methylcellulose (HPMC) lubricant facilitates insertion of porous spherical orbital implants". Ophthal Plast Reconstr Surg. 21 (4): 301–2. doi:10...

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Mie scattering

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homogeneous sphere. The solution takes the form of an infinite series of spherical multipole partial waves. It is named after German physicist Gustav Mie...

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Light scattering by particles

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Maxwell's equations are only known for selected particle geometries (such as spherical), light scattering by particles is a branch of computational electromagnetics...

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LM

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(vehicle plate code LM) Le Mans, a place in France Limburg-Weilburg, Germany (vehicle plate code LM) Liptovský Mikuláš, Slovakia (vehicle plate code LM) Lourenço...

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