{"title":"Automated vector space proofs using mathematica","authors":"Aaron E. Naiman","doi":"10.1145/3572865.3572866","DOIUrl":null,"url":null,"abstract":"We present Mathematica tools for proving or disproving whether a set of objects constitutes a vector space. When necessary axioms are upheld, the relationships between the variables are presented. When the axioms fail, intuitive counterexamples are shown. A number of different kinds of vectors are demonstrated, with varying types of vector addition and scalar multiplication as well. All of the calculations are performed in an automated fashion.","PeriodicalId":41965,"journal":{"name":"ACM Communications in Computer Algebra","volume":"56 1","pages":"1 - 13"},"PeriodicalIF":0.4000,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACM Communications in Computer Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3572865.3572866","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We present Mathematica tools for proving or disproving whether a set of objects constitutes a vector space. When necessary axioms are upheld, the relationships between the variables are presented. When the axioms fail, intuitive counterexamples are shown. A number of different kinds of vectors are demonstrated, with varying types of vector addition and scalar multiplication as well. All of the calculations are performed in an automated fashion.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
