P. Kosoboutskyy, Mariana Karkulovska, Yuliia Losynska
{"title":"基于三个平方元素的度数变换构造的fibonachi三角形中数字的规律性","authors":"P. Kosoboutskyy, Mariana Karkulovska, Yuliia Losynska","doi":"10.23939/cds2021.01.037","DOIUrl":null,"url":null,"abstract":"In this paper, it is shown that the Fibonacci triangle is formed from the elements of power transformations of a quadratic trinomial. It is binary structured by domains of rows of equal lengths, in which the sum of numbers forms a sequence of certain numbers. This sequence coincides with the transformed bisection of the classical sequence of Fibonacci numbers. The paper substantiates Pascal's rule for calculating elements in the lines of a Fibonacci triangle. The general relations of two forgings of numbers in lines of a triangle of Fibonacci for arbitrary values are received","PeriodicalId":270498,"journal":{"name":"Computer Design Systems. Theory and Practice","volume":"188 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"REGULARITIES OF NUMBERS IN THE FIBONACHI TRIANGLE CONSTRUCTED ON THE DEGREE TRANSFORMATIONS OF A SQUARE THREE MEMBERS\",\"authors\":\"P. Kosoboutskyy, Mariana Karkulovska, Yuliia Losynska\",\"doi\":\"10.23939/cds2021.01.037\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, it is shown that the Fibonacci triangle is formed from the elements of power transformations of a quadratic trinomial. It is binary structured by domains of rows of equal lengths, in which the sum of numbers forms a sequence of certain numbers. This sequence coincides with the transformed bisection of the classical sequence of Fibonacci numbers. The paper substantiates Pascal's rule for calculating elements in the lines of a Fibonacci triangle. The general relations of two forgings of numbers in lines of a triangle of Fibonacci for arbitrary values are received\",\"PeriodicalId\":270498,\"journal\":{\"name\":\"Computer Design Systems. Theory and Practice\",\"volume\":\"188 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-12-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computer Design Systems. Theory and Practice\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23939/cds2021.01.037\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computer Design Systems. Theory and Practice","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23939/cds2021.01.037","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
REGULARITIES OF NUMBERS IN THE FIBONACHI TRIANGLE CONSTRUCTED ON THE DEGREE TRANSFORMATIONS OF A SQUARE THREE MEMBERS
In this paper, it is shown that the Fibonacci triangle is formed from the elements of power transformations of a quadratic trinomial. It is binary structured by domains of rows of equal lengths, in which the sum of numbers forms a sequence of certain numbers. This sequence coincides with the transformed bisection of the classical sequence of Fibonacci numbers. The paper substantiates Pascal's rule for calculating elements in the lines of a Fibonacci triangle. The general relations of two forgings of numbers in lines of a triangle of Fibonacci for arbitrary values are received