http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Terwilliger algebras of direct and wreath products of association schemes
Hanaki, Akihide,Kim, Kijung,Maekawa, Yu Elsevier 2011 Journal of algebra Vol.343 No.1
<P><B>Abstract</B></P><P>We will consider structures of Terwilliger algebras of direct and wreath products of association schemes. In general, it is difficult to determine the structure of the Terwilliger algebras though they are known to be semisimple C-algebras. But, we get the structure of Terwilliger algebras of these cases under some assumptions.</P>
COMMUTATIVITY OF ASSOCIATION SCHEMES OF ORDER pq
Hanaki, Akihide,Hirasaka, Mitsugu The Youngnam Mathematical Society 2013 East Asian mathematical journal Vol.29 No.1
Let (X, S) be an association scheme where X is a finite set and S is a partition of $X{\times}X$. The size of X is called the order of (X, S). We define $\mathcal{C}$ to be the set of positive integers m such that each association scheme of order $m$ is commutative. It is known that each prime is belonged to $\mathcal{C}$ and it is conjectured that each prime square is belonged to $\mathcal{C}$. In this article we give a sufficient condition for a scheme of order pq to be commutative where $p$ and $q$ are primes, and obtain a partial answer for the conjecture in case where $p=q$.
CLASSIFICATION OF ASSOCIATION SCHEMES WITH 18 AND 19 VERTICES
Hanaki, A.,Miyamoto, I. 한국전산응용수학회 1998 Journal of applied mathematics & informatics Vol.5 No.3
The isomorphism classes of association schemes with 18 and 19 vertices are classified. We obtain 95 isomorphism classes of association schemes with 18 vertices and denote the representatives of the isomorphism classes as subschemes of 7 association schemes. We obtain 7 isomorphism classes of association schemes with 19 vertices and six of them are cyclotomic schemes.
COMMUTATIVITY OF ASSOCIATION SCHEMES OF ORDER pq
Akihide Hanaki,히라사카 영남수학회 2013 East Asian mathematical journal Vol.29 No.1
Let (X; S) be an association scheme where X is a nite set and S is a partition of X X. The size of X is called the order of (X; S). We de ne C to be the set of positive integers m such that each association scheme of order m is commutative. It is known that each prime is belonged to C and it is conjectured that each prime square is belonged to C. In this article we give a su cient condition for a scheme of order pq to be commutative where p and q are primes, and obtain a partial answer for the conjecture in case where p = q.
황선진,화목계우 대한상하수도학회 1998 상하수도학회지 Vol.12 No.1
Nitrification and denitrification are important processes in the landfill site as they are deeply related with degradation and stabilization of refuse. Also nitrous oxide (N_2O) which is released from both nitrification and denitrification is known as greenhouse gas (GHG). The purpose of this study was to clarify the process by which N_2O produced using ^15N isotope. Nitrate which was labeled to 10.08% with ^15KNO_3 was used and N_2O was analyzed with GC mass. Results was that even also when O_2 of bulk was 15%, N_2O was released from denitrification. And as concentration of O_2 increase, sum of N_2O was released from denitrification. And as concentration of O_2 increase, sum of N_2O and N_2 was decreased and ratios of N_2O in the reduced gases were increased. FISH technics also adaped to confirm whether which of nitrifiers existed in the substrates. When NEU was used of which the target was ammonia oxidizing bacteria, nitrifier was not detected at all. So it was confirmed that during the reaction denitrification was dominant process. Total bacteria distributions which were detected by EUB probe explained that as O_2 increase the number of bacteria also increase, but between the 10-15% of O_2 there was no any differences.