{"title":"圆","authors":"Mohammad Alkahtani","doi":"10.36757/math-1-1-001","DOIUrl":null,"url":null,"abstract":"This article explain the basic property of the circle. It introduce an algorithm to draw the circle on digital devices using matrices which can be multiplied, added, and substrate very fast on GPU in parallel, algorithm added a precision for the real numbers calculation to be used for optimization and accuracy. The aim of this article is to explain that the use of drawing any circle is relative to the plane that it reside on and the plane might use any arbitrary measuring unit like meter, mile, inches,...etc. In addition, the plane location can be to other objects. TX-8-797-987 The Article can be found by this reference number in The United State Copyright Office.","PeriodicalId":55105,"journal":{"name":"Geometry & Topology","volume":"54 1","pages":""},"PeriodicalIF":2.0000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Circle\",\"authors\":\"Mohammad Alkahtani\",\"doi\":\"10.36757/math-1-1-001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article explain the basic property of the circle. It introduce an algorithm to draw the circle on digital devices using matrices which can be multiplied, added, and substrate very fast on GPU in parallel, algorithm added a precision for the real numbers calculation to be used for optimization and accuracy. The aim of this article is to explain that the use of drawing any circle is relative to the plane that it reside on and the plane might use any arbitrary measuring unit like meter, mile, inches,...etc. In addition, the plane location can be to other objects. TX-8-797-987 The Article can be found by this reference number in The United State Copyright Office.\",\"PeriodicalId\":55105,\"journal\":{\"name\":\"Geometry & Topology\",\"volume\":\"54 1\",\"pages\":\"\"},\"PeriodicalIF\":2.0000,\"publicationDate\":\"2019-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Geometry & Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.36757/math-1-1-001\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Geometry & Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36757/math-1-1-001","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This article explain the basic property of the circle. It introduce an algorithm to draw the circle on digital devices using matrices which can be multiplied, added, and substrate very fast on GPU in parallel, algorithm added a precision for the real numbers calculation to be used for optimization and accuracy. The aim of this article is to explain that the use of drawing any circle is relative to the plane that it reside on and the plane might use any arbitrary measuring unit like meter, mile, inches,...etc. In addition, the plane location can be to other objects. TX-8-797-987 The Article can be found by this reference number in The United State Copyright Office.
期刊介绍:
Geometry and Topology is a fully refereed journal covering all of geometry and topology, broadly understood. G&T is published in electronic and print formats by Mathematical Sciences Publishers.
The purpose of Geometry & Topology is the advancement of mathematics. Editors evaluate submitted papers strictly on the basis of scientific merit, without regard to authors" nationality, country of residence, institutional affiliation, sex, ethnic origin, or political views.