検索結果 - 岡山大学学術成果リポジトリ

JaLCDOI	10.18926/14079
フルテキストURL	Mem_Fac_Eng_OU_41_1_1.pdf
著者	Nogami, Yasuyuki\| Morikawa, Yoshitaka\|
抄録	In this paper, we first show the number of x's such that x(2) +u, u ∈ F(*)(p) , becomes a quadratic residue in F(p), and then this number is proven to be equal to (p+1)/2 if −u is a quadratic residue in Fp, which is a necessary fact for the following. With respect to the irreducible cubic polynomials over Fp in the form of x(3)+ax+b, we give a classification based on the trace of an element in F(p3) and based on whether or not the coefficient of x, i.e. the parameter a, is a quadratic residue in Fp. According to this classification, we can know the minimal set of the irreducible cubic polynomials, from which all the irreducible cubic polynomials can be generated by using the following two variable transformations: x=x + i, x=j−1x, i, j ∈ Fp, j ≠ 0. Based on the classification and that necessary fact, we show the number of the irreducible cubic polynomials in the form of x(3)+ax+b, b ∈ F(p), where a is a certain fixed element in F(p).
キーワード	Irreducible cubic polynomial trace quadratic residue
出版物タイトル	Memoirs of the Faculty of Engineering, Okayama University
発行日	2007-01
巻	41巻
号	1号
開始ページ	1
終了ページ	10
ISSN	0475-0071
言語	英語
論文のバージョン	publisher
NAID	120002308562

JaLCDOI	10.18926/14063
フルテキストURL	Mem_Fac_Eng_OU_42_71.pdf
著者	Kawase, Koichi\| 小西正躬\| 今井純\|
抄録	In this research, Fuzzy control theory is applied to the inventory control of the supply chain between multiple companies. The proposed control method deals with the amount of inventories expressing supply chain between multiple companies. Referring past demand and tardiness, inventory amounts of raw materials are determined by Fuzzy inference. The method that an appropriate inventory control becomes possible optimizing fuzzy control gain by using SA method for Fuzzy control. The variation of uncertain demand is given to the proposal method. Furthermore, the method of forecasting demand and the effectiveness of fuzzy control method are confirmed by numerical experiments. As the results, the proposal method suppressed increase in an unnecessary cost when demand varies.
出版物タイトル	Memoirs of the Faculty of Engineering, Okayama University
発行日	2008-01
巻	42巻
号	1号
開始ページ	71
終了ページ	78
ISSN	0475-0071
言語	英語
論文のバージョン	publisher
NAID	120002308296

JaLCDOI	10.18926/14055
フルテキストURL	Mem_Fac_Eng_OU_42_10.pdf
著者	金谷健一\|
抄録	The author introduced the "geometric AIC" and the "geometric MDL" as model selection criteria for geometric fitting problems. These correspond to Akaike’s "AIC" and Rissanen's "BIC", respectively, well known in the statistical estimation framework. Another criterion well known is Schwarz’ "BIC", but its counterpart for geometric fitting has been unknown. This paper introduces the corresponding criterion, which we call the "geometric BIC", and shows that it is of the same form as the geometric MDL. We present the underlying logical reasoning of Bayesian estimation.
出版物タイトル	Memoirs of the Faculty of Engineering, Okayama University
発行日	2008-01
巻	42巻
号	1号
開始ページ	10
終了ページ	17
ISSN	0475-0071
言語	英語
論文のバージョン	publisher
NAID	120002308447