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Toggle the table of contents. Generator matrix. 6 languages. Čeština; ... In coding theory, a generator matrix is a matrix whose rows form a basis for a linear code.
In predictive analytics, a table of confusion (sometimes also called a confusion matrix) is a table with two rows and two columns that reports the number of true positives, false negatives, false positives, and true negatives. This allows more detailed analysis than simply observing the proportion of correct classifications (accuracy).
In mathematics, a Walsh matrix is a specific square matrix of dimensions 2 n, where n is some particular natural number. The entries of the matrix are either +1 or −1 and its rows as well as columns are orthogonal. The Walsh matrix was proposed by Joseph L. Walsh in 1923. [1] Each row of a Walsh matrix corresponds to a Walsh function.
Formally, a parity check matrix H of a linear code C is a generator matrix of the dual code, C ⊥. This means that a codeword c is in C if and only if the matrix-vector product Hc ⊤ = 0 (some authors [1] would write this in an equivalent form, cH ⊤ = 0.) The rows of a parity check matrix are the coefficients of the parity check equations. [2]
A matrix having the coefficients of a polynomial as last column, and having the polynomial as its characteristic polynomial: Coxeter matrix: A matrix which describes the relations between the involutions that generate a Coxeter group: Distance matrix: The square matrix formed by the pairwise distances of a set of points
In mathematics, an orthogonal array (more specifically, a fixed-level orthogonal array) is a "table" (array) whose entries come from a fixed finite set of symbols (for example, {1,2,...,v}), arranged in such a way that there is an integer t so that for every selection of t columns of the table, all ordered t-tuples of the symbols, formed by taking the entries in each row restricted to these ...
Let H be a Hadamard matrix of order n.The transpose of H is closely related to its inverse.In fact: = where I n is the n × n identity matrix and H T is the transpose of H.To see that this is true, notice that the rows of H are all orthogonal vectors over the field of real numbers and each have length .
The following is a matrix-based approach to generating primitive triples with generalized Fibonacci sequences. [9] Start with a 2 × 2 array and insert two coprime positive integers (q,q′) in the top row. Place the even integer (if any) in the left-hand column.