术语“拉丁方”的详细信息

英译术语:

Latin square

汉语语境:

来自n个部队的n种军衔的n×n名军官，如果能排成一个正方形，每一行，每一列的n名军官来自不同的部队并且军衔各不相同，那么就称这个方阵叫正交拉丁方阵。欧拉猜测在n=2，6，10，14，18，…时，正交拉丁方阵不存在。然而到了上世纪60年代，人们用计算机造出了n=10的正交拉丁方阵，推翻了欧拉的猜测。现在已经知道，除了n=2，6以外，其余的正交拉丁方阵都存在，而且有多种构造的方法。

英语语境:

From n unit n a rank of n * n officers, if it can be arranged in a square, each row, each column of N officers from different forces and the rank of each are not identical, then we call this square is called orthogonal Latin squares. Euler speculation inN=2, 10, 14, 18, 6, ...When the orthogonal Latin square matrix does not exist. However, in the last century 60's, people using computer to create a n=10 orthogonal Latin square, overturned the Euler's guess. It is now known that, except for n=2, 6, the rest of the orthogonal Latin square matrices exist, and there are many methods of constructing.