Latin square

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 agriculture)

New Collegiate Dictionary. 2001.

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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 — 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 …  

  • Latin square — noun 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 …   Wiktionary

  • 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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