“Graeco‐Latin square”的概念、定义、翻译、参考文献-科学参考

Graeco‐Latin square

Mathematics

The notion of a Latin square can be extended to involve two sets of symbols. Suppose that one set of symbols consists of Roman letters and the other of Greek letters. A Graeco‐Latin square is a square array in which each position contains one Roman letter and one Greek letter, such that the Roman letters form a Latin square, the Greek letters form a Latin square, and each Roman letter occurs with each Greek letter exactly once. An example of a 3 × 3 Graeco‐Latin square is the following:

$\begin{matrix} A α & B β & C γ \\ B γ & C α & A β \\ C β & A γ & B α \end{matrix}$

Such squares are used in the design of experiments.

单词	Graeco‐Latin square
释义	Graeco‐Latin square Mathematics The notion of a Latin square can be extended to involve two sets of symbols. Suppose that one set of symbols consists of Roman letters and the other of Greek letters. A Graeco‐Latin square is a square array in which each position contains one Roman letter and one Greek letter, such that the Roman letters form a Latin square, the Greek letters form a Latin square, and each Roman letter occurs with each Greek letter exactly once. An example of a 3 × 3 Graeco‐Latin square is the following: $\begin{matrix} A α & B β & C γ \\ B γ & C α & A β \\ C β & A γ & B α \end{matrix}$ Such squares are used in the design of experiments.
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