Generalized balanced ternary is a generalization of the balanced ternary numeral system to represent points in a higher-dimensional space. It was first described in 1982 by Laurie Gibson and Dean Lucas.[1] It has since been used for various applications, including geospatial[2] and high-performance scientific[3] computing.
^Gibson, Laurie; Lucas, Dean (1982). "Spatial Data Processing Using Generalized Balanced Ternary". Proceedings of the IEEE Computer Society Conference on Pattern Recognition and Image Processing: 566–571.
^Sahr, Kevin (2011-01-01). "Hexagonal Discrete Global Grid Systems for Geospatial Computing" (PDF). Archives of Photogrammetry, Cartography and Remote Sensing. 22: 363. Bibcode:2011ArFKT..22..363S.
^de Kinder, R. E. Jr.; Barnes, J. R. (August 1997). "The Generalized Balanced Ternary (GBT) Applied to High-Performance Computational Algorithms". APS Meeting Abstracts. Bibcode:1997APS..CPC..C409D.
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Generalizedbalancedternary is a generalization of the balancedternary numeral system to represent points in a higher-dimensional space. It was first...
Balancedternary is a ternary numeral system (i.e. base 3 with three digits) that uses a balanced signed-digit representation of the integers in which...
representations that lead to inefficient image processing operations. Generalizedbalancedternary (GBT) is based on a hierarchy of cells, where at every level...
In computer science, a ternary search tree is a type of trie (sometimes called a prefix tree) where nodes are arranged in a manner similar to a binary...
Searching a ternary search tree involves passing in a string to test whether any path contains it. The time complexity for searching a balancedternary search...
given above. A partial listing is given below: Association schemes A balancedternary design BTD(V, B; ρ1, ρ2, R; K, Λ) is an arrangement of V elements into...
Towers of Bucharest and Towers of Klagenfurt game configurations yield ternary and pentary Gray codes. Martin Gardner wrote a popular account of the Gray...
numbers whose balancedternary representation is the same as their ternary representation. The construction of this sequence from the ternary numbers is...
following algorithms are described for a binary tree, but they may be generalized to other trees as well. Unlike linked lists, one-dimensional arrays and...
matrices Permutation matrices the three transformation matrices in the ternary tree of primitive Pythagorean triples Certain transformation matrices for...
and a cofactor are used in a Reed–Muller expansion. The concept can be generalized as a k-ary derivative in the direction dx, obtained as the difference...
symbols, in which some patterns (like "11") are forbidden, can be freely generalized. The following table shows that the number 65 is represented in Fibonacci...
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