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LIPSCHITZ TYPE CHARACTERIZATION OF FOCK TYPE SPACES

  • Hong Rae, Cho;Jeong Min, Ha
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.6
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    • pp.1371-1385
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    • 2022
  • For setting a general weight function on n dimensional complex space ℂn, we expand the classical Fock space. We define Fock type space $F^{p,q}_{{\phi},t}({\mathbb{C}}^n)$ of entire functions with a mixed norm, where 0 < p, q < ∞ and t ∈ ℝ and prove that the mixed norm of an entire function is equivalent to the mixed norm of its radial derivative on $F^{p,q}_{{\phi},t}({\mathbb{C}}^n)$. As a result of this application, the space $F^{p,q}_{{\phi},t}({\mathbb{C}}^n)$ is especially characterized by a Lipschitz type condition.

Budget and distribution of organic carbon in Quercus serrata Thunb. ex Murray forest in Mt. Worak

  • Lee, Seung-Hyuk;Jang, Rae-Ha;Cho, Kyu-Tae;You, Young-Han
    • Journal of Ecology and Environment
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    • v.38 no.4
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    • pp.425-436
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    • 2015
  • The carbon cycle came into the spotlight due to the climate change and forests are well-known for their capacity to store carbon amongst other terrestrial ecosystems. The annual organic carbon of litter production, forest floor litter layer, soil, aboveground and belowground part of plant, standing biomass, net primary production, uptake of organic carbon, soil respiration, etc. were measured in Mt. Worak in order to understand the production and carbon budget of Quercus serrata forest that are widely spread in the central and southern part of the Korean Peninsula. The total amount of organic carbon of Q. serrata forest during the study period (2010-2013) was 130.745 ton C ha-1. The aboveground part of plant, belowground part of plant, forest floor litter layer, and organic carbon in soil was 50.041, 12.510, 4.075, and 64.119 ton C ha-1, respectively. The total average of carbon fixation in plants from photosynthesis was 4.935 ton C ha-1 yr-1 and organic carbon released from soil respiration to microbial respiration was 3.972 ton C ha-1 yr-1. As a result, the net ecosystem production of Q. serrata forest estimated from carbon fixation and soil respiration was 0.963 ton C ha-1 yr-1. Therefore, it seems that Q. serrata forest can act as a sink that absorbs carbon from the atmosphere. The carbon uptake of Q. serrata forest was highest in stem of the plant and the research site had young forest which had many trees with small diameter at breast height (DBH). Consequentially, it seems that active matter production and vigorous carbon dioxide assimilation occurred in Q. serrata forest and these results have proven to be effective for Q. serrata forest to play a role as carbon storage and NEP.

Anti-obesity Effect of Yogurt Fermented by Lactobacillus plantarum Q180 in Diet-induced Obese Rats

  • Park, Sun-Young;Seong, Ki-Seung;Lim, Sang-Dong
    • Food Science of Animal Resources
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    • v.36 no.1
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    • pp.77-83
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    • 2016
  • This study aimed to investigate the anti-obesity effects of yogurt fermented by Lactobacillus plantarum Q180 in diet-induced obese rats. To examine the effects, male Sprague-Dawley rats were fed on six different diets, as follows: Group A was fed an ND and orally administrated saline solution; Group B, an HFD and orally administrated saline solution; Group C, an HFD and orally administrated yogurt fermented by ABT-3 and L. plantarum Q180; Group D, an HFD and orally administrated yogurt with added Garcinia cambogia extract, fermented by ABT-3 and L. plantarum Q180; Group E, an HFD and orally administrated yogurt fermented by L. plantarum Q180; and Group F, an HFD and orally administrated yogurt with added Garcinia cambogia extract, fermented by L. plantarum Q180 for eight weeks. After eight weeks, the rate of increase in bodyweight was 5.14%, 6.5%, 3.35% and 10.81% lower in groups C, D, E and F, respectively, compared with group B; the epididymal fat weight of groups E and F was significantly lower than that of group B; and the level of triglyceride and leptin was significantly reduced in groups C, D, E and F compared to group B. In addition, the level of AST was reduced in group C compared to the other groups. To examine the effects of yogurt on the reduction of adipocyte size, the adipocyte sizes were measured. The number of large-size adipose tissue was less distributed in groups A, C, D, E and F than in group B.

EPCglobal Class-1 Gen-2 Anti-collision Algorithm with Tag Number Estimation Scheme (태그 수 추정 기법을 적용한 EPCglobal Class-1 Gen-2 충돌방지 알고리즘)

  • Lim, In-Taek
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.14 no.5
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    • pp.1133-1138
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    • 2010
  • In the anti-collision scheme proposed by EPCglobal Class-1 Gen-2 standard, the frame size for a query round is determined by Q-algorithm. In the Q-algorithm, the reader calculates a frame size without estimating the number of tags in it's identification range. It uses only the slot status. Therefore, Q-algorithm has advantage that the reader's algorithm is simpler than other algorithms. However, it cannot allocate an optimized frame size because it does not consider the number of tags. Also, the conventional Q-algorithm does not define an optimized parameter value C for adjusting the frame size. In this paper, we propose a modified Q-algorithm and evaluate the performance with computer simulations. The proposed Q-algorithm estimates the number of tags at every query round, and determines the parameter value C based on the estimated number of tags.

Impact of Insulin Resistance on Acetylcholine-Induced Coronary Artery Spasm in Non-Diabetic Patients

  • Kang, Kwan Woo;Choi, Byoung Geol;Rha, Seung-Woon
    • Yonsei Medical Journal
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    • v.59 no.9
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    • pp.1057-1063
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    • 2018
  • Purpose: Coronary artery spasm (CAS) and diabetes mellitus (DM) are implicated in endothelial dysfunction, and insulin resistance (IR) is a major etiological cause of type 2 DM. However, the association between CAS and IR in non-diabetic individuals has not been elucidated. The aim of the present study was to evaluate the impact of IR on CAS in patients without DM. Materials and Methods: A total of 330 eligible patients without DM and coronary artery disease who underwent acetylcholine (Ach) provocation test were enrolled in this study. Inclusion criteria included both hemoglobin A1c <6.0% and fasting glucose level <110 mg/dL without type 2 DM. Patients were divided into quartile groups according the level of homeostasis model assessment of insulin resistance (HOMA-IR): 1Q (n=82; HOMA-IR<1.35), 2Q (n=82; $1.35{\leq}HOMA-IR<1.93$), 3Q (n=83; $1.93{\leq}HOMA-IR<2.73$), and 4Q (n=83; $HOMA-IR{\geq}2.73$). Results: In the present study, the higher HOMA-IR group (3Q and 4Q) was older and had higher body mass index, fasting blood glucose, serum insulin, hemoglobin A1c, total cholesterol, and triglyceride levels than the lower HOMA-IR group (1Q). Also, poor IR (3Q and 4Q) was considerably associated with frequent CAS. Compared with Q1, the hazard ratios for Q3 and Q4 were 3.55 (95% CI: 1.79-7.03, p<0.001) and 2.12 (95% CI: 1.07-4.21, p=0.031), respectively, after adjustment of baseline risk confounders. Also, diffuse spasm and accompanying chest pain during Ach test were more strongly associated with IR patients with CAS. Conclusion: HOMA-IR was significantly negatively correlated with reference diameter measured after nitroglycerin and significantly positively correlated with diffuse spasm and chest pain.

Synthesis of Uniform CA and 90/150 Hybrid CA (Uniform CA와 90/150 Hybrid CA의 합성)

  • Kim, Han-Doo;Cho, Sung-Jin;Choi, Un-Sook;Kwon, Min-Jeong;Kong, Gil-Tak
    • The Journal of the Korea institute of electronic communication sciences
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    • v.11 no.3
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    • pp.293-302
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    • 2016
  • In this paper we analyze the CA formed by combining the uniform 102 CA $\mathbb{C}_u$ and the m-cell 90/150 hybrid CA $\mathbb{C}_h$ whose characteristic polynomial is $(x+1)^m$. We analyze cycle structures of complemented group CA derived from $\mathbb{C}_u$ and propose a condition of complemented CA dividing the entire state space into smaller cycles of equal lengths. And we analyze the cycle structure of complemented group CA $\mathbb{C}^{\prime}$ derived from the CA $\mathbb{C}$ formed by combining $\mathbb{C}_u$ and $\mathbb{C}_h$ with complement vector F such that $(T+I)^{q-1}F{\neq}0$ where $(x+1)^q$ is the minimal polynomial of $\mathbb{C}$.

A NOTE ON CYCLOTOMIC UNITS IN FUNCTION FIELDS

  • Jung, Hwanyup
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.4
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    • pp.433-438
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    • 2007
  • Let $\mathbb{A}=\mathbb{F}_q[T]$ and $k=\mathbb{F}_q(T)$. Assume q is odd, and fix a prime divisor ${\ell}$ of q - 1. Let P be a monic irreducible polynomial in A whose degree d is divisible by ${\ell}$. In this paper we define a subgroup $\tilde{C}_F$ of $\mathcal{O}^*_F$ which is generated by $\mathbb{F}^*_q$ and $\{{\eta}^{{\tau}^i}:0{\leq}i{\leq}{\ell}-1\}$ in $F=k(\sqrt[{\ell}]{P})$ and calculate the unit-index $[\mathcal{O}^*_F:\tilde{C}_F]={\ell}^{\ell-2}h(\mathcal{O}_F)$. This is a generalization of [3, Theorem 16.15].

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HYPERCYCLICITY ON INVARIANT SUBSPACES

  • Petersson, Henrik
    • Journal of the Korean Mathematical Society
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    • v.45 no.4
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    • pp.903-921
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    • 2008
  • A continuous linear operator $T\;:\;X{\rightarrow}X$ is called hypercyclic if there exists an $x\;{\in}\;X$ such that the orbit ${T^nx}_{n{\geq}0}$ is dense. We consider the problem: given an operator $T\;:\;X{\rightarrow}X$, hypercyclic or not, is the restriction $T|y$ to some closed invariant subspace $y{\subset}X$ hypercyclic? In particular, it is well-known that any non-constant partial differential operator p(D) on $H({\mathbb{C}}^d)$ (entire functions) is hypercyclic. Now, if q(D) is another such operator, p(D) maps ker q(D) invariantly (by commutativity), and we obtain a necessary and sufficient condition on p and q in order that the restriction p(D) : ker q(D) $\rightarrow$ ker q(D) is hypercyclic. We also study hypercyclicity for other types of operators on subspaces of $H({\mathbb{C}}^d)$.

Optimal Parameter Selection of Q-Algorithm in EPC global Gen-2 RFID System

  • Lim, In-Taek
    • Journal of information and communication convergence engineering
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    • v.7 no.4
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    • pp.469-474
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    • 2009
  • Q-algorithm is proposed at EPC global Class-1 Generation-2 RFID systems to determine the frame size of next query round. In Q-algorithm, the reader calculates the frame size without estimating the number of tags. But, it uses only the slot conditions: empty, success, or collision. Therefore, it wastes less computational cost and is simpler than other algorithms. However, the constant parameter C value, which is used for calculating the next frame size, is not optimized. In this paper, we propose the optimized C values of Q-algorithm according to the number of tags within the identification range of reader through a lot of computer simulations.

Analysis on the Structure of Plant Community in Mt. Yongmun by Classification and Ordination Techniques (Classification 및 Ordination 방법에 의한 융문산 삼림의 식물군집 구조분석)

  • 이경재
    • Journal of Plant Biology
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    • v.33 no.3
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    • pp.173-182
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    • 1990
  • To investigate the structure of the plant community structure of Mt. Yongmun in Kyonggi-do, fifty-four plots were set up by the clumped sampling method. The classification by TWINSPAN and DCA ordination were applied to the study area in order to classify them into several groups based on woody plant and environmental variables. By both techniques, the plant community were divided into two groups by the aspect. the dominant species of south aspect were Pinus densiflora, Quercus aliena, Q. mongolica, Carpinus laxiflora and of north aspect were Q. ongolica, Fraxinus rhynchophylla. The successional trends of tree species in south aspect seem to be from P. densiflora through Q. serrata, Q. aliena, A. mongolica to C. laxiflora. As a result of the analysis for the relationship between the stand scores of DCA and environmental variables, they had a tendency to increase significantly from the P. densiflora and Q. mongolica community to C. laxiflora and F. rhynchophylla community that was the soil moisture, the amount of soil humus and soil pH.

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