{"title":"论四则运算广义判别式的非负性","authors":"Yusuf Z. Gürtaş","doi":"10.1080/00029890.2024.2309110","DOIUrl":null,"url":null,"abstract":"Discriminants of quadratics have been recently generalized as Δk=k(n−k)cn−k2−(k+1)(n−k+1)cn−k−1cn−k+1 for a polynomial f(x)=cnxn+⋯+c1x+c0 of degree n≥2 for 1≤k≤n−1 and it has been shown that Δ1≥0 i...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"59 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Nonnegativity of the Generalized Discriminants of Quadratics\",\"authors\":\"Yusuf Z. Gürtaş\",\"doi\":\"10.1080/00029890.2024.2309110\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Discriminants of quadratics have been recently generalized as Δk=k(n−k)cn−k2−(k+1)(n−k+1)cn−k−1cn−k+1 for a polynomial f(x)=cnxn+⋯+c1x+c0 of degree n≥2 for 1≤k≤n−1 and it has been shown that Δ1≥0 i...\",\"PeriodicalId\":501497,\"journal\":{\"name\":\"The American Mathematical Monthly\",\"volume\":\"59 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-02-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The American Mathematical Monthly\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/00029890.2024.2309110\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The American Mathematical Monthly","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00029890.2024.2309110","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Nonnegativity of the Generalized Discriminants of Quadratics
Discriminants of quadratics have been recently generalized as Δk=k(n−k)cn−k2−(k+1)(n−k+1)cn−k−1cn−k+1 for a polynomial f(x)=cnxn+⋯+c1x+c0 of degree n≥2 for 1≤k≤n−1 and it has been shown that Δ1≥0 i...
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
