• 대한수학회논문집
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• 제8권1호
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• pp.111-119
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• 1993

• 대한수학회지
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• 제47권3호
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• pp.601-631
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• 2010

In [6] and [7], we introduced graph von Neumann algebras which are the (groupoid) crossed product algebras of von Neumann algebras and graph groupoids via groupoid actions. We showed that such crossed product algebras have the graph-depending amalgamated reduced free probabilistic properties. In this paper, we will consider a scalar-valued $W^*$-probability on a given graph von Neumann algebra. We show that a diagonal graph $W^*$-probability space (as a scalar-valued $W^*$-probability space) and a graph W¤-probability space (as an amalgamated $W^*$-probability space) are compatible. By this compatibility, we can find the relation between amalgamated free distributions and scalar-valued free distributions on a graph von Neumann algebra. Under this compatibility, we observe the scalar-valued freeness on a graph von Neumann algebra.

• Kyungpook Mathematical Journal
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• 제45권4호
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• pp.561-570
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• 2005

Weak Crossed Product Algebras correspond to certain graphs called lower subtractive graphs. The properties of such algebras can be obtained by studying this kind of graphs ([4], [5]). In [1], the author showed that a weak crossed product is Frobenius and its restricted subalgebra is symmetric if and only if its associated graph has a unique maximal vertex. A special construction of these graphs came naturally and was known as standard lower subtractive graph. It was a deep question that when such a special graph possesses unique maximal vertex? This work is to answer the question partially and to give a particular characterization for such graphs at which the corresponding algebras are isomorphic. A graph that follows the mentioned characterization is called flexible. Flexibility is to some extend a generalization of the so-called Coxeter groups and its weak Bruhat ordering.

• 농업생명과학연구
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• 제46권3호
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• pp.59-68
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• 2012

본 연구는 인근에서 쉽게 구할 수 있는 낙과사과, 감껍질, 팽이버섯 부산물, 새송이버섯 부산물 및 맥주박을 이용하여 발효사료를 제조하였고, 이러한 농수부산물 발효사료가 양돈에 미치는 경제적인 효과를 분석하였다. 흑돼지 한 마리당 1일 사료비는 낙과사과 발효사료가 2.16~3.44%, 감껍질 발효사료가 3.83~13.35%, 팽이버섯 부산물 발효사료가 7.47~41.61% 감소하였다. 3원교잡종 한 마리당 1일 사료비는 새송이버섯 부산물 발효사료가 1.59~4.05%, 맥주박 발효사료가 59.09~66.90% 감소하였다. 흑돼지 한 마리당 도체가격은 2% 낙과사과 발효사료가 3.09% 증가하였고, 감껍질 발효사료가 1.20~3.40% 증가하였으며, 10% 팽이버섯 부산물 발효사료가 1.13% 증가하였다. 3원교잡종 한 마리당 도체가격은 새송이버섯 부산물 발효사료가 2.87~4.19% 증가하였고, 맥주박 발효사료가 41.31~49.14% 증가하였다. 따라서 본 연구에서는 사료비 및 도체가격의 분석을 통하여 농수부산물 발효사료는 사료비는 감소하고, 도체가격이 증가하게 되어 양돈 농가의 소득에 기여할 것으로 사료된다.

• 대한수학회지
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• 제35권2호
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• pp.331-340
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• 1998

We define the spherical non-commutative torus $L_{\omega}$/ as the crossed product obtained by an iteration of l crossed products by actions of, the first action on C( $S^{2n＋l}$). Assume the fibres are isomorphic to the tensor product of a completely irrational non-commutative torus $A_{p}$ with a matrix algebra $M_{m}$ ( ) (m > 1). We prove that $L_{\omega}$/ $M_{p}$ (C) is not isomorphic to C(Prim( $L_{\omega}$/)) $A_{p}$ $M_{mp}$ (C), and that the tensor product of $L_{\omega}$/ with a UHF-algebra $M_{p{\infty}}$ of type $p^{\infty}$ is isomorphic to C(Prim( $L_{\omega}$/)) $A_{p}$ $M_{m}$ (C) $M_{p{\infty}}$ if and only if the set of prime factors of m is a subset of the set of prime factors of p. Furthermore, it is shown that the tensor product of $L_{\omega}$/, with the C＊-algebra K(H) of compact operators on a separable Hilbert space H is not isomorphic to C(Prim( $L_{\omega}$/)) $A_{p}$ $M_{m}$ (C) K(H) if Prim( $L_{\omega}$/) is homeomorphic to $L^{k}$ (n)$\times$ $T^{l'}$ for k and l' non-negative integers (k > 1), where $L^{k}$ (n) is the lens space.$T^{l'}$ for k and l' non-negative integers (k > 1), where $L^{k}$ (n) is the lens space.e.

• 대한기계학회논문집A
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• 제29권9호
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• pp.1270-1275
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• 2005

Rolling process to fabricate a strip with even thickness is significant to enhance the quality of the strip. The thickness of a strip can be effectively controlled by pair-cross mills. However, pair-cross mill generates thrust in the axial direction of roller and causes skewness, deflection, twist and even accidental roll chock failure. Therefore, accurate estimation of the thrust of the pair-cross mill during rolling process is necessary to monitor the failure of roll and the quality of products. An empirical equation given by Mitsubishi Heavy Industry (MHI) is hitherto employed, where the thrust is expressed in terms of rolling force, reduction ratio and crossed angle. However it turns out that the MHI empirical equation provides somehow inaccurate and unsuitable thrust in practical rolling processes. Moreover, we learn that three parameters involved in MHI equation are coupled each other. In this paper, axiomatic design principle is employed to select appropriate parameters involved in approximate equation in order to make parameters uncoupled. A quadratic equation using response surface method with new parameters is suggested. The accuracy of the approximate model is examined by comparing with real experimental data.

• Bulletin of the Korean Chemical Society
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• 제35권3호
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• pp.839-844
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• 2014

The gas-phase radical-radical reaction $O(^3P)$ + $C_2H_5$ (ethyl) ${\rightarrow}$ $H(^2S)$ + $CH_3CHO$(acetaldehyde) was investigated by applying a combination of vacuum-ultraviolet laser-induced fluorescence spectroscopy in a crossed beam configuration and ab initio calculations. The two radical reactants $O(^3P)$ and $C_2H_5$ were respectively produced by photolysis of $NO_2$ and supersonic flash pyrolysis of the synthesized precursor azoethane. Doppler profile analysis of the nascent H-atom products in the Lyman-${\alpha}$ region revealed that the average translational energy of the products and the average fraction of the total available energy released as translational energy were $5.01{\pm}0.72kcalmol^{-1}$ and 6.1%, respectively. The empirical data combined with CBS-QB3 level ab initio theory and statistical calculations demonstrated that the title exchange reaction is a major channel and proceeds via an addition-elimination mechanism through the formation of a short-lived, dynamical addition complex on the doublet potential energy surface. On the basis of systematic comparison with several exchange reactions of hydrocarbon radicals, the observed small kinetic energy release can be explained in terms of the loose transition state with a product-like geometry and a small reverse activation barrier along the reaction coordinate.

• 농업과학연구
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• 제38권4호
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• pp.689-693
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• 2011

The purpose of this study was to investigate the Cytochrome P450 (CYP2A6) gene as a candidate gene for the traits related with meat fatty acid composition traits in pigs. Porcine CYP2A6 polymorphisms were detected and PCR-RFLP was performed for genotyping of Korean native pig (n=14), Landrace (n=3), Duroc (n=3), Berkshire (n=3), Yorkshire (n=8) and F2 population composed of 202 individuals from an intercross between Korean Native pig and Yorkshire. PCR primer set amplified a 612 bp fragment of CYP2A6 and digestion of the PCR products was performed with the restriction enzymes SchI. The CYP2A6 SchI polymorphism was only found in the KNP breed. The genotype frequencies of TT, TC and CC genotypes were 0.36, 0.56 and 0.08 in the KNP respectively and the other pig breeds were fixed with CC genotype (Duroc, Landrace, Berkshire and Yorkshire). Statistical association between genotypes and fatty acid composition traits were tested in the Korean native pig and Yorkshire crossed F2 pigs. The CYP2A6 SchI polymorphism was associated with only fatty acid composition C20:3n3 level (cis11,14,17-Eicosatrienoic acid, p=0.0252). The 'T' allele was associated with lower C20:3n3 level. Further study is required to validate the genotypic association and biological consequence of the CYP2A6 gene polymorphism in pigs.

• 대한수학회보
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• 제30권2호
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• pp.193-199
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• 1993

A hereditary $C^{*}$-subalgebra B of a $C^{*}$-algebra A is said to be full if B is not contained in any proper closed two-sided ideal in A, so each hereditary $C^{*}$-subalgebra of a simple $C^{*}$-algebra is always full. It is well known that every $C^{*}$-algebra is strong Morita equivalent to its full hereditary $C^{*}$-subalgebra, but the strong Morita equivalence of a $C^{*}$-algebra A and its hereditary $C^{*}$-subalgebra B does not imply the fullness of B, ingeneral. We present the following lemma for our computational convenience in the course of the proof of the main theorem. Note that $L_{B}$, $L_{B}$$^{*}$ and $L_{B}$ $L_{B}$$^{*}$ are all .alpha.-invariant whenever B is .alpha.-invariant under the action .alpha. of G.a. of G.a. of G.a. of G.f G.

• 충청수학회지
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• 제10권1호
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• pp.127-139
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• 1997

The spherical non-commutative $\mathbb{S}_{\omega}$ were defined in [2,3]. Assume that no non-trivial matrix algebra can be factored out of the $\mathbb{S}_{\omega}$, and that the fibres are isomorphic to the tensor product of a completely irrational non-commutative torus with a matrix algebra $M_k(\mathbb{C})$. It is shown that the tensor product of the spherical non-commutative torus $\mathbb{S}_{\omega}$ with the even Cuntz algebra $\mathcal{O}_{2d}$ has a trivial bundle structure if and only if k and 2d - 1 are relatively prime, and that the tensor product of the spherical non-commutative torus $S_{\omega}$ with the generalized Cuntz algebra $\mathcal{O}_{\infty}$ has a non-trivial bundle structure when k > 1.