{"title":"求解二阶多项式丢番图方程的仿射变换方法","authors":"B. Sagindykov, Zhanar Bimurat","doi":"10.1109/SIST50301.2021.9465999","DOIUrl":null,"url":null,"abstract":"The main objective of this work is to find the rational points of a plane curve given by the second-degree equation. We illustrate that our method based on affine transformation simplifies the way of finding solutions to complicated second-degree equations.","PeriodicalId":318915,"journal":{"name":"2021 IEEE International Conference on Smart Information Systems and Technologies (SIST)","volume":"229 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Affine Transformation Method for Solving Diophantine Equations With Respect to Polynomials of the Second Degree\",\"authors\":\"B. Sagindykov, Zhanar Bimurat\",\"doi\":\"10.1109/SIST50301.2021.9465999\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The main objective of this work is to find the rational points of a plane curve given by the second-degree equation. We illustrate that our method based on affine transformation simplifies the way of finding solutions to complicated second-degree equations.\",\"PeriodicalId\":318915,\"journal\":{\"name\":\"2021 IEEE International Conference on Smart Information Systems and Technologies (SIST)\",\"volume\":\"229 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-04-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 IEEE International Conference on Smart Information Systems and Technologies (SIST)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SIST50301.2021.9465999\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 IEEE International Conference on Smart Information Systems and Technologies (SIST)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SIST50301.2021.9465999","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Affine Transformation Method for Solving Diophantine Equations With Respect to Polynomials of the Second Degree
The main objective of this work is to find the rational points of a plane curve given by the second-degree equation. We illustrate that our method based on affine transformation simplifies the way of finding solutions to complicated second-degree equations.