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The Hadamard code is a linear code, and all linear codes can be generated by a generator matrix . This is a matrix such that Had ( x ) = x ⋅ G {\displaystyle {\text{Had}}(x)=x\cdot G} holds for all x ∈ { 0 , 1 } k {\displaystyle x\in \{0,1\}^{k}} , where the message x {\displaystyle x} is viewed as a row vector and the vector-matrix product ...
Six defeats Weaver, and Rex is taken to Purgatory Base, located on a remote desert island in the South Pacific, to offload the remainder of his nanites. As Rex walks off to explore the island with Bobo, Six and Holiday privately discuss Rex's nature. 7. 7. "Leader of the Pack". Sam Montes. Alexx Van Dyne. June 4, 2010.
Report generator. A report generator is a computer program whose purpose is to take data from a source such as a database, XML stream or a spreadsheet, and use it to produce a document in a format which satisfies a particular human readership. Report generation functionality is almost always present in database systems, [citation needed] where ...
Reed–Muller codes are linear block codes that are locally testable, locally decodable, and list decodable. These properties make them particularly useful in the design of probabilistically checkable proofs . Traditional Reed–Muller codes are binary codes, which means that messages and codewords are binary strings.
218. northern portion of the state. 320. about the central third of the state except for the greater Minneapolis-Saint Paul area. 507. southern third of the state. 612. Minneapolis, Richfield, Fort Snelling, and Saint Anthony. 651.
In fact, any nonempty set is a generator. In the category of sets, any set with at least two elements is a cogenerator. In the category of modules over a ring R, a generator in a finite direct sum with itself contains an isomorphic copy of R as a direct summand. Consequently, a generator module is faithful, i.e. has zero annihilator. References