{"title":"互补对称的结果","authors":"Qingyun Gui , Yi C. Huang","doi":"10.1016/j.jmp.2022.102714","DOIUrl":null,"url":null,"abstract":"<div><p>In this note the property of complementary symmetry is shown to imply the following consequence: If <span><math><mrow><msub><mrow><mi>x</mi></mrow><mrow><mi>p</mi></mrow></msub><mi>y</mi></mrow></math></span> is a binary prospect to win <span><math><mi>x</mi></math></span><span> with probability </span><span><math><mi>p</mi></math></span> and otherwise receive <span><math><mi>y</mi></math></span>, then the difference between the selling and buying prices of <span><math><mrow><msub><mrow><mi>x</mi></mrow><mrow><mi>p</mi></mrow></msub><mi>y</mi></mrow></math></span> will be equal to the difference between the selling and buying prices of the complement of this prospect, <span><math><mrow><msub><mrow><mi>y</mi></mrow><mrow><mi>p</mi></mrow></msub><mi>x</mi></mrow></math></span>.</p></div>","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A consequence of complementary symmetry\",\"authors\":\"Qingyun Gui , Yi C. Huang\",\"doi\":\"10.1016/j.jmp.2022.102714\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this note the property of complementary symmetry is shown to imply the following consequence: If <span><math><mrow><msub><mrow><mi>x</mi></mrow><mrow><mi>p</mi></mrow></msub><mi>y</mi></mrow></math></span> is a binary prospect to win <span><math><mi>x</mi></math></span><span> with probability </span><span><math><mi>p</mi></math></span> and otherwise receive <span><math><mi>y</mi></math></span>, then the difference between the selling and buying prices of <span><math><mrow><msub><mrow><mi>x</mi></mrow><mrow><mi>p</mi></mrow></msub><mi>y</mi></mrow></math></span> will be equal to the difference between the selling and buying prices of the complement of this prospect, <span><math><mrow><msub><mrow><mi>y</mi></mrow><mrow><mi>p</mi></mrow></msub><mi>x</mi></mrow></math></span>.</p></div>\",\"PeriodicalId\":2,\"journal\":{\"name\":\"ACS Applied Bio Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2022-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACS Applied Bio Materials\",\"FirstCategoryId\":\"102\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022249622000529\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, BIOMATERIALS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Bio Materials","FirstCategoryId":"102","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022249622000529","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, BIOMATERIALS","Score":null,"Total":0}
In this note the property of complementary symmetry is shown to imply the following consequence: If is a binary prospect to win with probability and otherwise receive , then the difference between the selling and buying prices of will be equal to the difference between the selling and buying prices of the complement of this prospect, .
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