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Yet More Number Systems 更多的数字系统
Number Systems Pub Date : 2021-06-24 DOI: 10.1201/9780429059353-10
A. Kay
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引用次数: 0
Rational Numbers, ℚ 有理数，π
Number Systems Pub Date : 2021-06-24 DOI: 10.1201/9780429059353-6
A. Kay
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引用次数: 0
Quadratic Extensions II: Complex Numbers, ℂ 二次扩展II:复数，多项式
Number Systems Pub Date : 2021-06-24 DOI: 10.1201/9780429059353-9
A. Kay
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引用次数: 0
Foundations of Number Theory 数论基础
Number Systems Pub Date : 2021-06-24 DOI: 10.1007/978-0-8176-4561-8_1
A. Kay
{"title":"Foundations of Number Theory","authors":"A. Kay","doi":"10.1007/978-0-8176-4561-8_1","DOIUrl":"https://doi.org/10.1007/978-0-8176-4561-8_1","url":null,"abstract":"","PeriodicalId":200452,"journal":{"name":"Number Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130636367","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Where Do We Go from Here? 我们将何去何从?
Number Systems Pub Date : 2021-06-24 DOI: 10.1201/9780429059353-11
A. Kay
{"title":"Where Do We Go from Here?","authors":"A. Kay","doi":"10.1201/9780429059353-11","DOIUrl":"https://doi.org/10.1201/9780429059353-11","url":null,"abstract":"","PeriodicalId":200452,"journal":{"name":"Number Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130095493","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Integers, ℤ
Number Systems Pub Date : 2021-06-24 DOI: 10.1201/9780429059353-4
A. Kay
{"title":"Integers, ℤ","authors":"A. Kay","doi":"10.1201/9780429059353-4","DOIUrl":"https://doi.org/10.1201/9780429059353-4","url":null,"abstract":"In the article the following concepts were introduced: the set of integers ( ) and its elements (integers), congruences (i1 ≡ i2(mod i3)), the ceiling and floor functors (⌈x⌉ and ⌊x⌋), also the fraction part of a real number (frac), the integer division (÷) and remainder of integer division (mod). The following schemes were also included: the separation scheme (SepInt), the schemes of integer induction (Int Ind Down, Int Ind Up, Int Ind Full), the minimum (Int Min) and maximum (Int Max) schemes (the existence of minimum and maximum integers enjoying a given property).","PeriodicalId":200452,"journal":{"name":"Number Systems","volume":"113 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133113287","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
Real Numbers, ℝ 实数，h
Number Systems Pub Date : 2021-06-24 DOI: 10.1201/9780429059353-7
A. Kay
{"title":"Real Numbers, ℝ","authors":"A. Kay","doi":"10.1201/9780429059353-7","DOIUrl":"https://doi.org/10.1201/9780429059353-7","url":null,"abstract":"","PeriodicalId":200452,"journal":{"name":"Number Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131318191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Sets and Relations 集合和关系
Number Systems Pub Date : 2021-06-24 DOI: 10.1201/9780429059353-2
A. Kay
{"title":"Sets and Relations","authors":"A. Kay","doi":"10.1201/9780429059353-2","DOIUrl":"https://doi.org/10.1201/9780429059353-2","url":null,"abstract":"","PeriodicalId":200452,"journal":{"name":"Number Systems","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117161614","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quadratic Extensions I: General Concepts and Extensions of ℤ and ℚ 二次推广I:一般概念及推广的n和n
Number Systems Pub Date : 2021-06-24 DOI: 10.1201/9780429059353-8
A. Kay
{"title":"Quadratic Extensions I: General Concepts and Extensions of ℤ and ℚ","authors":"A. Kay","doi":"10.1201/9780429059353-8","DOIUrl":"https://doi.org/10.1201/9780429059353-8","url":null,"abstract":"","PeriodicalId":200452,"journal":{"name":"Number Systems","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124949700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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