An introduction to uniform distributions and Weyl's Criterion
| dc.contributor.author | Andriunas, Rachel M. | |
| dc.date.accessioned | 2020-08-14T20:36:37Z | |
| dc.date.available | 2020-08-14T20:36:37Z | |
| dc.date.graduationmonth | August | |
| dc.date.issued | 2020-08-01 | |
| dc.description.abstract | This report is an exploration into the basics of the uniform distribution of sequences and a proof of Weyl's Criterion. After describing what it means for a sequence to be uniformly distributed, we develop the tools to prove Weyl's Criterion. In order to do this, we split Weyl's Criterion into two theorems and prove each of them. Finally, we will show an example which applies Weyl's Criterion to prove that a certain sequence of irrational numbers is uniformly distributed. | |
| dc.description.advisor | Craig Spencer | |
| dc.description.degree | Master of Science | |
| dc.description.department | Department of Mathematics | |
| dc.description.level | Masters | |
| dc.identifier.uri | https://hdl.handle.net/2097/40841 | |
| dc.language.iso | en_US | |
| dc.publisher | Kansas State University | |
| dc.rights | © the author. This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.subject | uniform distribution | |
| dc.subject | Weyl's Criterion | |
| dc.title | An introduction to uniform distributions and Weyl's Criterion | |
| dc.type | Report |
