{"title":"On Some Properties of X2+y2+z2+v2=dxyzv; and X2+y2+z2+v2+u2=dxyzvu, and Xi+yi+zi + vi =dxyzv.","authors":"Michael C. I. Nwogugu","doi":"10.2139/ssrn.3545005","DOIUrl":null,"url":null,"abstract":"This article develops “existence” properties for the equations x2+y2+z2+v2=dXYZV; And x2+y2+z2+v2+u2=dXYZVU, and xi+yi+zi + vi =dXYZV (where i is a positive integer); and the results are applicable where all variables are Integers (ie. proofs within the context of Sub-Rings). Collectively and individually, these equations have wide applications in Computer Science, Physics, Applied Math and Finance/Economics.","PeriodicalId":23650,"journal":{"name":"viXra","volume":"19 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"viXra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.3545005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This article develops “existence” properties for the equations x2+y2+z2+v2=dXYZV; And x2+y2+z2+v2+u2=dXYZVU, and xi+yi+zi + vi =dXYZV (where i is a positive integer); and the results are applicable where all variables are Integers (ie. proofs within the context of Sub-Rings). Collectively and individually, these equations have wide applications in Computer Science, Physics, Applied Math and Finance/Economics.
本文给出了方程x2+y2+z2+v2=dXYZV的“存在性”性质;x2+y2+z2+v2+u2=dXYZVU, xi+yi+zi + vi =dXYZV(其中i为正整数);并且结果适用于所有变量都是整数(即。子环范围内的证明)。总的来说，这些方程在计算机科学、物理、应用数学和金融/经济学中有着广泛的应用。
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