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By 1963 (or possibly earlier), J. J. Stone (and others) recognized that Reed Solomon codes could use the BCH scheme of using a fixed generator polynomial, making such codes a special class of BCH codes, [4] but Reed Solomon codes based on the original encoding scheme, are not a class of BCH codes, and depending on the set of evaluation points ...
The Acts of Union 1707 declared that the Kingdom of England and Kingdom of Scotland were "United into One Kingdom by the Name of Great Britain". [p] [38] The term "United Kingdom" has occasionally been used as a description for the former Kingdom of Great Britain, although its official name from 1707 to 1800 was simply "Great Britain". [39]
Matrix 2 of 5 barcode. Matrix 2 of 5 (also known as Code 2 of 5 Matrix.) is a variable length, discrete, two width symbology. Matrix 2 of 5 is a subset of two-out-of-five codes. Unlike Industrial 2 of 5 code, Matrix 2 of 5 can encode data not only with black bars but with white spaces.
For practical purposes, parity-check matrix of a binary Goppa code is usually converted to a more computer-friendly binary form by a trace construction, that converts the -by-matrix over () to a -by-binary matrix by writing polynomial coefficients of () elements on successive rows.
U.S. NRC image of a modern steam turbine generator (STG). In electricity generation, a generator [1] is a device that converts motion-based power (potential and kinetic energy) or fuel-based power (chemical energy) into electric power for use in an external circuit.
The polynomial S t can also be given the following "interpolation" characterization. Define e t (z) ≡ e tz, and n ≡ deg P. Then S t (z) is the unique degree < n polynomial which satisfies S t (k) (a) = e t (k) (a) whenever k is less than the multiplicity of a as a root of P. We assume, as we obviously can, that P is the minimal polynomial of A.
The term R-matrix has several meanings, depending on the field of study. The term R-matrix is used in connection with the Yang–Baxter equation , first introduced in the field of statistical mechanics in the works of J. B. McGuire in 1964 [ 1 ] and C. N. Yang in 1967 [ 2 ] and in the group algebra C [ S n ] {\displaystyle \mathbb {C} [S_{n ...
Worldwide distribution of country calling codes. Regions are coloured by first digit. Country calling codes, country dial-in codes, international subscriber dialing (ISD) codes, or most commonly, telephone country codes are telephone number prefixes for reaching telephone subscribers in foreign countries or areas via international telecommunication networks.