{"title":"拉丁方","authors":"A. Bentkamp","doi":"10.4135/9781412950589.n477","DOIUrl":null,"url":null,"abstract":"In combinatorics and in experimental design, a Latin square is an n × n array filled with n different symbols, each occurring exactly once in each row and exactly once in each column. Here is an example: A B C C A B B C A The name \"Latin square\" is motivated by mathematical papers by Leonhard Euler, who used Latin characters as symbols. Of course, other symbols can be used instead of Latin letters: in the above example, the alphabetic sequence A, B, C can be replaced by the integer sequence 1, 2, 3.","PeriodicalId":280633,"journal":{"name":"Arch. Formal Proofs","volume":"65 2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Latin Square\",\"authors\":\"A. Bentkamp\",\"doi\":\"10.4135/9781412950589.n477\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In combinatorics and in experimental design, a Latin square is an n × n array filled with n different symbols, each occurring exactly once in each row and exactly once in each column. Here is an example: A B C C A B B C A The name \\\"Latin square\\\" is motivated by mathematical papers by Leonhard Euler, who used Latin characters as symbols. Of course, other symbols can be used instead of Latin letters: in the above example, the alphabetic sequence A, B, C can be replaced by the integer sequence 1, 2, 3.\",\"PeriodicalId\":280633,\"journal\":{\"name\":\"Arch. Formal Proofs\",\"volume\":\"65 2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Arch. Formal Proofs\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4135/9781412950589.n477\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Arch. Formal Proofs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4135/9781412950589.n477","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
摘要
在组合学和实验设计中,拉丁方块是一个n × n的数组,其中包含n个不同的符号,每个符号在每一行和每一列中正好出现一次。这里有一个例子:A B C C A B B B C A“拉丁方块”这个名字是由莱昂哈德·欧拉的数学论文激发的,他使用拉丁字符作为符号。当然,也可以用其他符号代替拉丁字母:在上面的例子中,字母序列A, B, C可以用整数序列1,2,3代替。
In combinatorics and in experimental design, a Latin square is an n × n array filled with n different symbols, each occurring exactly once in each row and exactly once in each column. Here is an example: A B C C A B B C A The name "Latin square" is motivated by mathematical papers by Leonhard Euler, who used Latin characters as symbols. Of course, other symbols can be used instead of Latin letters: in the above example, the alphabetic sequence A, B, C can be replaced by the integer sequence 1, 2, 3.