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pro vyhledávání: '"Haotian Ying"'
Autor:
Takao Komatsu, Haotian Ying
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 2, Pp 3455-3481 (2023)
In this paper we study a certain kind of generalized linear Diophantine problem of Frobenius. Let a1,a2,…,al be positive integers such that their greatest common divisor is one. For a nonnegative integer p, denote the p-Frobenius number by gp(a1,a2
Externí odkaz:
https://doaj.org/article/1ca5e9ba937243c592b5a3ac8fd00526
Autor:
Takao Komatsu, Haotian Ying
Publikováno v:
Symmetry, Vol 15, Iss 7, p 1328 (2023)
For given positive integers a1,a2,⋯,ak with gcd(a1,a2,⋯,ak)=1, the denumerant d(n)=d(n;a1,a2,⋯,ak) is the number of nonnegative solutions (x1,x2,⋯,xk) of the linear equation a1x1+a2x2+⋯+akxk=n for a positive integer n. For a given nonnegati
Externí odkaz:
https://doaj.org/article/6bbde30ec0724e4f939d580517a766db
Autor:
Takao Komatsu, Haotian Ying
Publikováno v:
Mathematical Biosciences and Engineering. 20:3455-3481
In this paper we study a certain kind of generalized linear Diophantine problem of Frobenius. Let $ a_1, a_2, \dots, a_l $ be positive integers such that their greatest common divisor is one. For a nonnegative integer $ p $, denote the $ p $-Frobeniu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d13c823053689371de347d024d588ac
https://doi.org/10.3934/mbe.2023162
https://doi.org/10.3934/mbe.2023162
Publikováno v:
Kinetics and Catalysis. 62:545-550
A highly stable acid ionic liquid polymer was prepared via the polymerization of 1-vinyl-3-(propyl-3-sulfony) imidazolium 4-styrenesulfonate. Both the cations and anions were polymerized to form the acidic ionic cross-linked polymer and the formation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::df04b1e448ab2fd1c604fbdd291f840f
https://doi.org/10.1134/s0023158421040121
https://doi.org/10.1134/s0023158421040121
Autor:
Takao Komatsu, Haotian Ying
The so-called Frobenius number in the famous linear Diophantine problem of Frobenius is the largest integer such that the linear equation $a_1 x_1+\cdots+a_k x_k=n$ ($a_1,\dots,a_k$ are given positive integers with $\gcd(a_1,\dots,a_k)=1$) does not h
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::644caff5633d670a2977c1e0ac5cc91a
http://arxiv.org/abs/2207.08962
http://arxiv.org/abs/2207.08962
Publikováno v:
Кинетика и катализ. 62:494-500
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::812b17ef1c502f0837611d0804425252
https://doi.org/10.31857/s0453881121040146
https://doi.org/10.31857/s0453881121040146