Latin square

Latin square
An n-by-n arrangement of n different integers such that each row, each column and each of the two diagonals contains each of the integers once and once only.

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  • Latin square — n. any square array of numbers, letters, etc. so arranged that every element occurs exactly once in each row and in each column …   English World dictionary

  • Latin square — A Latin square is an n times; n table filled with n different symbols in such a way that each symbol occurs exactly once in each row and exactly once in each column. Here is an example: egin{bmatrix} 1 2 3 2 3 1 3 1 2 end{bmatrix} Latin squares… …   Wikipedia

  • Latin square property — In mathematics, the Latin square property is an elementary property of all groups. It states that if ( G , *) is a group and a and b are elements of G , then there exists a unique element x of G such that a * x = b , and a unique element y of G… …   Wikipedia

  • Latin square — A statistical design for experiments that removes from experimental error the variation from two sources that may be identified with the rows and columns of a square. The allocation of experimental treatments is such that each treatment occurs… …   Medical dictionary

  • Latin square — noun a square matrix of n rows and columns; cells contain n different symbols so arranged that no symbol occurs more than once in any row or column • Hypernyms: ↑square matrix …   Useful english dictionary

  • Latin square — noun Date: 1890 a square array which contains n different elements with each element occurring n times but with no element occurring twice in the same column or row and which is used especially in the statistical design of experiments (as in… …   New Collegiate Dictionary

  • Latin square — Math. a square array of numbers, letters, etc., in which each item appears exactly once in each row and column: used in statistical analysis. [1885 90] * * * …   Universalium

  • Latin square — /lætn ˈskwɛə/ (say latn skwair) noun a square array of symbols in which no symbol occurs more than once in any row or column; used in statistical analysis …  

  • Graeco-Latin square — Orthogonal Latin squares of order 3 Orthogonal Latin squares of order 5 In mathematics, a Graeco Latin square or Euler square or orthogonal Latin squares of order n over two …   Wikipedia

  • Hyper-Graeco-Latin square design — In the design of experiments, hyper Graeco Latin squares are efficient designs to study the effect of one primary (treatment) factor in the presence of 4 blocking (nuisance) factors. They are restricted, however, to the case in which all the… …   Wikipedia

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