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ガロア第一論文と乗数イデアル他関連資料スレ17 (1002ﾚｽ)
ガロア第一論文と乗数イデアル他関連資料スレ17 http://rio2016.5ch.net/test/read.cgi/math/1746597368/
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425: 現代数学の系譜 雑談 ◆yH25M02vWFhP [] 2025/05/17(土) 15:35:34.73 ID:y2zepp9J これ 面白い 貼っておきます https://www.researchgate.net/publication/233525067_Modifications_of_Thomae's_Function_and_Differentiability Modifications of Thomae's Function and Differentiability June 2009 The American Mathematical Monthly 116(6):531-535 Kevin Beanland James W. Roberts Craig Stevenson Download full^text Abstract In 1875, K. J. Thomae discovered the now-famous example of a real-valued function that is continuo
us on the irrationals and not continuous on the rationals. This function is presented in many undergraduate real analysis courses and is known, to some, as the 'popcorn' function. It is not difficult to see that Thomae's function is not differentiable anywhere. The question we examine here is whether it can be modified to be differentiable on some subset of the irrationals. The answer may surprise you—it certainly surprised us. http://rio2016.5ch.net/test/read.cgi/math/1746597368/425
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