• Bulletin of the Korean Mathematical Society
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• v.57 no.6
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• pp.1427-1449
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• 2020

In this paper, we establish the boundedness of the m-linear Calderón-Zygmund operators on product of central Morrey spaces with variable exponent. The corresponding boundedness properties of their commutators with λ-central BMO symbols are also considered. Finally, we prove that the multilinear commutators of Calderón-Zygmund singular integrals introduced by Pérez and Trujillo-Gonález are bounded on central Morrey spaces with variable exponent. Our results improve and generalize some previous classical results to the variable exponent setting.

• Bulletin of the Korean Mathematical Society
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• v.43 no.2
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• pp.343-352
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• 2006

A real matrix A is called a sign-central matrix if for, every matrix $\tilde{A}$ with the same sign pattern as A, the convex hull of columns of $\tilde{A}$ contains the zero vector. A sign-central matrix A is called a tight sign-central matrix if the Hadamard (entrywise) product of any two columns of A contains a negative component. A real vector x = $(x_1,{\ldots},x_n)^T$ is called stable if $\|x_1\|{\leq}\|x_2\|{\leq}{\cdots}{\leq}\|x_n\|$. A tight sign-central matrix is called a $tight^*$ sign-central matrix if each of its columns is stable. In this paper, for a matrix B, we characterize those matrices C such that [B, C] is tight ($tight^*$) sign-central. We also construct the matrix C with smallest number of columns among all matrices C such that [B, C] is $tight^*$ sign-central.

• Journal of the Korean Statistical Society
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• v.25 no.3
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• pp.393-406
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• 1996

We obtain the general moment of non-central Wishart distribu-tion, using the J-th moment of a matrix quadratic form and the 2J-th moment of the matrix normal distribution. As an example, the second moment and kurtosis of non-central Wishart distribution are also investigated.

• Bulletin of the Korean Chemical Society
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• v.31 no.11
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• pp.3418-3420
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• 2010

• Journal of the Korean Society of Tobacco Science
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• v.31 no.1
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• pp.58-67
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• 2009

Biomarkers could be critical and useful tools for assessing the biological effects of smoking and detecting differences between potentially reduced exposure product (PREP) and conventional cigarettes. Smoking-related biomarkers can be classified into three categories as biomarkers of exposure, biomarkers of effects, and biomarkers of potential harm. When compared with the biomarkers of effects or harm, the biomarkers of exposure for chemical constituents of cigarette smoke are well established and characterized. In addition, they could offer the important information in understanding how cigarette smoke interacts with biological molecules and causes the disease to human. Therefore, we provide an overview of 6 biomarkers of exposure (Nicotine and nicotine metabolites, Carboxyhaemoglobin, NNAL (4-(methylnitrosoamino)-1-(3-pyridyl)-1-butanol) and NNAL - glucuronide, 3-Hydroxypropyl-mercapturic acid, and Monohydroxy-butenyl-mercapturic acids, and Urine mutagenicity) which were validated through extensive research and clinical experience. These reliable biomarkers could help identify the efficacy of PREP by predicting early toxicological effects and lead to improve it.

• East Asian mathematical journal
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• v.5 no.2
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• pp.191-198
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• 1989

It is shown that a near-ring N which has no nonzero nilpotent elements is a partially ordered set where $x{\leq}y$ if and only if $yx=x^2$. Also it is shown that $(N,{\leq})$ is infinitely distributive for central elements that is $r(supx_i)=sup(rx_i)$ for every central element r of N and any subset $\{x_i\}$ of N. By using some lemmas we showed that a near-ring without nilpotent elements is isomorphic to a direct product of near-fields if and only if N is hyperatomic and orthogonally complete under the condition that every idempotent of N is central.

• Asian-Australasian Journal of Animal Sciences
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• v.16 no.7
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• pp.1025-1029
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• 2003

The effect studied was that of the feeding of shrimp by-product meal, as a source of eicosapentaenoic and docosahexaenoic acid, on growth performance and fatty acid composition of adipose tissue in growing pigs kept on small holdings in Central Vietnam. Shrimp by-product meal was exchanged with ruminant meal so that the diets contained either 0, 10 or 20% shrimp byproduct meal in the dry matter. The diets were fed on 6 different small-holder farms. The farmers fed a base diet according to their personal choice, but were instructed as to the use of shrimp by-product and ruminant meal. The diets were fed to the pigs from 70 to 126 days of age. There were three animals per treatment group per farm. The diets without and with 20% shrimp by-product meal on average contained 0.01 and 0.14 g docosahexaenoic acid/MJ of metabolisable energy (ME). Due to the higher contents of ash and crude fiber, the shrimp by-product meal containing diets had lower energy densities than the control diets. Eicosapentaenoic acid was not detectable in adipose tissue; the content of docosahexaenoic acid was generally increased after consumption of shrimp by-product meal. In spite of the concurrent high intakes of ash and crude fiber, the feeding of shrimp by-product meal had a general stimulatory effect on growth performance of the growing pigs. The intake of docosahexaenoic acid or its content in adipose tissue was not related with average daily gain. It is suggested that shrimp by-product meal may contain an unknown growth enhancing factor.

• Korean Journal of Mathematics
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• v.6 no.2
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• pp.231-242
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• 1998

On the basis of Heyer and Zeuner's results we will treat the central limit theorem for probability measures on hypergroup.

• Communications for Statistical Applications and Methods
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• v.17 no.5
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• pp.647-652
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• 2010

By using a Malliavin calculus, we prove the central limit theorem on the power variation of the product of the unordered rectangles associated with a standard Brownian sheet.

• Natural Product Sciences
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• v.9 no.4
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• pp.304-306
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• 2003

Two new protolimonoids, piscidenone (1) and piscidinol G (2) were isolated from the leaves of the plant Walsura piscidia together with piscidinol A and C. The structurers were assigned based on spectral evidences (IR, $^1HNMR$, $^{13}CNMR$ and MS).