Definition of Latin square in English:

Latin square

noun

  • 1An arrangement of letters or symbols that each occur n times, in a square array of n² compartments so that no letter appears twice in the same row or column.

    • ‘Here are two examples of Latin squares of order 4.’
    • ‘This study of symmetric functions led him to study partitions and Latin squares, and for many years he was considered the leading worker in this area.’
    • ‘The original edition contained an early example of a problem about orthogonal Latin squares.’
    • ‘Both the creation and the solution of Sudoku puzzles relate to the ‘quasigroup completion problem’ of completing a partially-filled Latin square.’
    1. 1.1A Latin square used as the basis of experimental procedures in which it is desired to control or allow for two sources of variability while investigating a third.
      • ‘The order of the four conditions for each graph type was counterbalanced across participants using Latin squares, and the order of graph types was also counterbalanced.’
      • ‘There were four blocks of four irrigation treatments for each variety in a Latin square arrangement, with a single experimental row and two guard rows.’
      • ‘Treatments were balanced across visits using the Latin square method.’
      • ‘Statistical design was a balanced 4 x 4 Latin square replicated five times.’
      • ‘The order of the six conditions for each graph type was counterbalanced across participants using Latin squares.’
      • ‘In this article we present a new algorithm, which uses mutually orthogonal Latin squares to perform enhanced sampling of the conformational space.’
      • ‘We used the orthogonal Latin square design for three treatments, which included all six possible sequences.’