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In mathematics and computing, Fibonacci coding is a universal code [citation needed] which encodes positive integers into binary code words. It is one example of representations of integers based on Fibonacci numbers. Each code word ends with "11" and contains no other instances of "11" before the end. The Fibonacci code is closely related to ...
In mathematics, the cross product or vector product (occasionally directed area product, to emphasize its geometric significance) is a binary operation on two vectors in a three-dimensional oriented Euclidean vector space (named here ), and is denoted by the symbol . Given two linearly independent vectors a and b, the cross product, a × b ...
CodeHS is an interactive online learning platform offering computer science and programming instruction for schools and individual learners. CodeHS is focused on spreading access to and knowledge of computer science by offering online instructional materials supported by remote tutors. In the introductory learning module, students on the site ...
Frobenius inner product. In mathematics, the Frobenius inner product is a binary operation that takes two matrices and returns a scalar. It is often denoted. The operation is a component-wise inner product of two matrices as though they are vectors, and satisfies the axioms for an inner product. The two matrices must have the same dimension ...
The Hadamard product operates on identically shaped matrices and produces a third matrix of the same dimensions. In mathematics, the Hadamard product (also known as the element-wise product, entrywise product [1]: ch. 5 or Schur product [2]) is a binary operation that takes in two matrices of the same dimensions and returns a matrix of the multiplied corresponding elements.
Computing the carry-less product. The carry-less product of two binary numbers is the result of carry-less multiplication of these numbers. This operation conceptually works like long multiplication except for the fact that the carry is discarded instead of applied to the more significant position. It can be used to model operations over finite ...
The resulting algebraic object satisfies the axioms for a group. Specifically: Associativity The binary operation on G × H is associative. Identity The direct product has an identity element, namely (1 G, 1 H), where 1 G is the identity element of G and 1 H is the identity element of H.
Enumerator polynomial. In coding theory, the weight enumerator polynomial of a binary linear code specifies the number of words of each possible Hamming weight . Let be a binary linear code length . The weight distribution is the sequence of numbers. giving the number of codewords c in C having weight t as t ranges from 0 to n.