{"title":"仿射表示下的Wallach比值原理","authors":"Eszter Gselmann","doi":"10.1016/j.rinam.2025.100554","DOIUrl":null,"url":null,"abstract":"<div><div>Motivated by Heller (2014) and supplementing the results found there, the main objective of this paper is to study the near-miss to Wallach’s ratio principle and the near-miss to illumination invariance, assuming more general psychophysical representations than in the previous works. We employ a model-creation technique founded on functional equations to study the affine and gain-control type representations of these phenomena, respectively.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"26 ","pages":"Article 100554"},"PeriodicalIF":1.4000,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Wallach’s ratio principle under affine representation\",\"authors\":\"Eszter Gselmann\",\"doi\":\"10.1016/j.rinam.2025.100554\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Motivated by Heller (2014) and supplementing the results found there, the main objective of this paper is to study the near-miss to Wallach’s ratio principle and the near-miss to illumination invariance, assuming more general psychophysical representations than in the previous works. We employ a model-creation technique founded on functional equations to study the affine and gain-control type representations of these phenomena, respectively.</div></div>\",\"PeriodicalId\":36918,\"journal\":{\"name\":\"Results in Applied Mathematics\",\"volume\":\"26 \",\"pages\":\"Article 100554\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2025-03-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Results in Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2590037425000184\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2590037425000184","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Wallach’s ratio principle under affine representation
Motivated by Heller (2014) and supplementing the results found there, the main objective of this paper is to study the near-miss to Wallach’s ratio principle and the near-miss to illumination invariance, assuming more general psychophysical representations than in the previous works. We employ a model-creation technique founded on functional equations to study the affine and gain-control type representations of these phenomena, respectively.