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A generator matrix for a Reed–Muller code RM(r, m) of length N = 2 m can be constructed as follows. ... punctured Hadamard codes: RM(−1,3) (8,0, ...
In mathematics, a chaotic map is a map (an evolution function) that exhibits some sort of chaotic behavior.Maps may be parameterized by a discrete-time or a continuous-time parameter.
Arnold's Problems is a book edited by Soviet mathematician Vladimir Arnold, containing 861 mathematical problems from many different areas of mathematics. The book was based on Arnold's seminars at Moscow State University. The problems were created over his decades-long career, and are sorted chronologically (from the period 1956–2003).
This template produces a NFPA 704 safety square with optionally four hazard codes. It is designed to be used in a table. It is designed to be used in a table. Primary use is through {{ Chembox }} , the {{ NFPA 704 }} box and {{ OrganicBox complete }} (chemical data pages).
LUCY is an open-source structure elucidation method based on the HMBC data of unknown molecules, [16] and involves an exhaustive 2-step structure generation process where first all combinations of interpretations of HMBC signals are implemented in a connectivity matrix, which is then completed by a deterministic generator filling in missing ...
Risk and Safety Statements, also known as R/S statements, R/S numbers, R/S phrases, and R/S sentences, is a system of hazard codes and phrases for labeling dangerous chemicals and compounds. The R/S statement of a compound consists of a risk part (R) and a safety part (S), each followed by a combination of numbers.
For example, the hazard ratio of company 5 to company 2 is (()) =. This means that, within the interval of study, company 5's risk of "death" is 0.33 ≈ 1/3 as large as company 2's risk of death. There are important caveats to mention about the interpretation:
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]