Pub Date : 2022-01-31DOI: 10.1017/9781108976039.010
{"title":"Bratteli Diagrams and C*-Algebras","authors":"","doi":"10.1017/9781108976039.010","DOIUrl":"https://doi.org/10.1017/9781108976039.010","url":null,"abstract":"","PeriodicalId":164196,"journal":{"name":"Dimension Groups and Dynamical Systems","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128362637","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}
Pub Date : 2022-01-31DOI: 10.1017/9781108976039.013
Historically, Archimedes figured out the area under a parabola in the third century B.C. He used a much more complicated method than is described here, and his method was so brilliant that it may have set back mathematics by 2,000 years. It was so difficult that people couldn’t see this pattern, and couldn’t see that these kinds of calculations can be easy. They couldn’t get to the cubic, and even when they did they were struggling with everything else. It wasn’t until calculus fit everything together that people were able to make serious progress on calculating these areas. We now have easy methods for computing these volumes; we will not have to labor to build pyramids to calculate all of these quantities. We will be able to do it so easily that it will happen as fast as you differentiate.
{"title":"Summary of Examples","authors":"","doi":"10.1017/9781108976039.013","DOIUrl":"https://doi.org/10.1017/9781108976039.013","url":null,"abstract":"Historically, Archimedes figured out the area under a parabola in the third century B.C. He used a much more complicated method than is described here, and his method was so brilliant that it may have set back mathematics by 2,000 years. It was so difficult that people couldn’t see this pattern, and couldn’t see that these kinds of calculations can be easy. They couldn’t get to the cubic, and even when they did they were struggling with everything else. It wasn’t until calculus fit everything together that people were able to make serious progress on calculating these areas. We now have easy methods for computing these volumes; we will not have to labor to build pyramids to calculate all of these quantities. We will be able to do it so easily that it will happen as fast as you differentiate.","PeriodicalId":164196,"journal":{"name":"Dimension Groups and Dynamical Systems","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130220350","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}
Pub Date : 2022-01-31DOI: 10.1017/9781108976039.008
{"title":"Dendric Shifts","authors":"","doi":"10.1017/9781108976039.008","DOIUrl":"https://doi.org/10.1017/9781108976039.008","url":null,"abstract":"","PeriodicalId":164196,"journal":{"name":"Dimension Groups and Dynamical Systems","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130311881","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}
Pub Date : 2022-01-31DOI: 10.1017/9781108976039.005
{"title":"Partitions in Towers","authors":"","doi":"10.1017/9781108976039.005","DOIUrl":"https://doi.org/10.1017/9781108976039.005","url":null,"abstract":"","PeriodicalId":164196,"journal":{"name":"Dimension Groups and Dynamical Systems","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129415596","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}
Pub Date : 2022-01-31DOI: 10.1017/9781108976039.004
{"title":"Ordered Cohomology Groups","authors":"","doi":"10.1017/9781108976039.004","DOIUrl":"https://doi.org/10.1017/9781108976039.004","url":null,"abstract":"","PeriodicalId":164196,"journal":{"name":"Dimension Groups and Dynamical Systems","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115213160","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}
Pub Date : 2022-01-31DOI: 10.1017/9781108976039.014
{"title":"Equivalent Definitions of Sturmian Shifts","authors":"","doi":"10.1017/9781108976039.014","DOIUrl":"https://doi.org/10.1017/9781108976039.014","url":null,"abstract":"","PeriodicalId":164196,"journal":{"name":"Dimension Groups and Dynamical Systems","volume":"09 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127227354","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}
Pub Date : 2022-01-31DOI: 10.1017/9781108976039.009
V. Delecroix
. These are lecture notes for 4 introductory talks about interval exchange transformations and translation surfaces given by the author in Salta (Argentina) in November 2016.
{"title":"Interval Exchange Transformations","authors":"V. Delecroix","doi":"10.1017/9781108976039.009","DOIUrl":"https://doi.org/10.1017/9781108976039.009","url":null,"abstract":". These are lecture notes for 4 introductory talks about interval exchange transformations and translation surfaces given by the author in Salta (Argentina) in November 2016.","PeriodicalId":164196,"journal":{"name":"Dimension Groups and Dynamical Systems","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114970538","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}
Pub Date : 2022-01-31DOI: 10.1017/9781108976039.006
{"title":"Bratteli Diagrams","authors":"","doi":"10.1017/9781108976039.006","DOIUrl":"https://doi.org/10.1017/9781108976039.006","url":null,"abstract":"","PeriodicalId":164196,"journal":{"name":"Dimension Groups and Dynamical Systems","volume":"138 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115092516","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}
Pub Date : 2022-01-31DOI: 10.1017/9781108976039.007
{"title":"Substitution Shifts and Generalizations","authors":"","doi":"10.1017/9781108976039.007","DOIUrl":"https://doi.org/10.1017/9781108976039.007","url":null,"abstract":"","PeriodicalId":164196,"journal":{"name":"Dimension Groups and Dynamical Systems","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130248344","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}
Pub Date : 2022-01-31DOI: 10.1017/9781108976039.017
{"title":"Name Index","authors":"","doi":"10.1017/9781108976039.017","DOIUrl":"https://doi.org/10.1017/9781108976039.017","url":null,"abstract":"","PeriodicalId":164196,"journal":{"name":"Dimension Groups and Dynamical Systems","volume":"137 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124321171","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}
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