{"title":"修正","authors":"B. Cornwell, Jake Burchard","doi":"10.1080/0022250X.2021.1917928","DOIUrl":null,"url":null,"abstract":"Theorem 3.1 and Corollary 3.1.1 in the article are false. While Theorem 3.1 correctly states that κ N ð Þ � k, the reverse inequality is not necessarily true (a family of counterexamples can be produced to show this). It should be noted that these statements, while false, are nevertheless tangential to the main emphasis of the paper, which is that cohesion in two-mode networks should be studied without one-mode projections, and that this can be done using both what we call “two-sided” and “onesided” approaches. We have replaced Theorem 3.1 and Corollary 3.1.1 with the following new, correct theorems and accompanying text.","PeriodicalId":50139,"journal":{"name":"Journal of Mathematical Sociology","volume":"45 1","pages":"192 - 193"},"PeriodicalIF":1.3000,"publicationDate":"2021-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/0022250X.2021.1917928","citationCount":"0","resultStr":"{\"title\":\"Correction\",\"authors\":\"B. Cornwell, Jake Burchard\",\"doi\":\"10.1080/0022250X.2021.1917928\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Theorem 3.1 and Corollary 3.1.1 in the article are false. While Theorem 3.1 correctly states that κ N ð Þ � k, the reverse inequality is not necessarily true (a family of counterexamples can be produced to show this). It should be noted that these statements, while false, are nevertheless tangential to the main emphasis of the paper, which is that cohesion in two-mode networks should be studied without one-mode projections, and that this can be done using both what we call “two-sided” and “onesided” approaches. We have replaced Theorem 3.1 and Corollary 3.1.1 with the following new, correct theorems and accompanying text.\",\"PeriodicalId\":50139,\"journal\":{\"name\":\"Journal of Mathematical Sociology\",\"volume\":\"45 1\",\"pages\":\"192 - 193\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2021-07-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/0022250X.2021.1917928\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Sociology\",\"FirstCategoryId\":\"90\",\"ListUrlMain\":\"https://doi.org/10.1080/0022250X.2021.1917928\",\"RegionNum\":4,\"RegionCategory\":\"社会学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Sociology","FirstCategoryId":"90","ListUrlMain":"https://doi.org/10.1080/0022250X.2021.1917928","RegionNum":4,"RegionCategory":"社会学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
摘要
本文中的定理3.1和推论3.1.1为假。虽然定理3.1正确地陈述了κ N ð Þ ø k,但反向不等式不一定是正确的(可以产生一系列反例来证明这一点)。应该指出的是,这些陈述虽然是错误的,但与本文的主要重点无关,即双模网络中的内聚应该在没有单模预测的情况下进行研究,并且这可以使用我们称之为“双面”和“片面”的方法来完成。我们将定理3.1和推论3.1.1替换为以下新的、正确的定理和相应的文本。
Theorem 3.1 and Corollary 3.1.1 in the article are false. While Theorem 3.1 correctly states that κ N ð Þ � k, the reverse inequality is not necessarily true (a family of counterexamples can be produced to show this). It should be noted that these statements, while false, are nevertheless tangential to the main emphasis of the paper, which is that cohesion in two-mode networks should be studied without one-mode projections, and that this can be done using both what we call “two-sided” and “onesided” approaches. We have replaced Theorem 3.1 and Corollary 3.1.1 with the following new, correct theorems and accompanying text.
期刊介绍:
The goal of the Journal of Mathematical Sociology is to publish models and mathematical techniques that would likely be useful to professional sociologists. The Journal also welcomes papers of mutual interest to social scientists and other social and behavioral scientists, as well as papers by non-social scientists that may encourage fruitful connections between sociology and other disciplines. Reviews of new or developing areas of mathematics and mathematical modeling that may have significant applications in sociology will also be considered.
The Journal of Mathematical Sociology is published in association with the International Network for Social Network Analysis, the Japanese Association for Mathematical Sociology, the Mathematical Sociology Section of the American Sociological Association, and the Methodology Section of the American Sociological Association.