• Journal of the Korean Mathematical Society
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• v.37 no.3
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• pp.463-471
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• 2000

A central limit theorem is obtained for stationary linear process Xt = aj$\varepsilon$t-j, where {$\varepsilon$t} a strictly stationary associated sequence with Et < and {aj} is a sequence of real numbers with <. A functional central limit theorem is also derived.

• 제어로봇시스템학회:학술대회논문집
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• 2000.10a
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• pp.507-507
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• 2000

In this paper, a kind of limit cycle of an inverted pendulum system is discussed. We propose a stabilization control law for such a limit cycle of an inverted pendulum system that the pendulum rotates periodically. Besides, the stabilization control law is extended so as to ensure not only stability of the limit cycle but also an L$_2$-gain disturbance attenuation in the presence of modeling error and viscosity friction.

• Korea-Australia Rheology Journal
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• v.14 no.2
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• pp.77-86
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• 2002

A microscopic theoretical study is performed to predict the rheological properties of human blood in the low concentration limit. The shear thinning behavior of blood in the low shear limit is studied by considering the aggregate formation of red blood cells, which is called the rouleaux formation. Then the constitutive equations of blood in the high shear limit are derived for various flow situations by considering the unique features of deformation of blood cells. Specifically, the effects of the surface-area-preserving constraint and the lank-treading motion of blood cells on the rheological properties are studied.

• The Transactions of the Korean Institute of Electrical Engineers
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• v.43 no.6
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• pp.927-935
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• 1994

Detailed analysis of the commutation circuit of the proposed wide-frequency current source inverter is given. In this inverter a spike-limit circuit and a precommutation circuit are used. The spike-limit circuit is intended to limit spike voltage which is arising during commutation time in a current source inverter, and the precommutation circuit to reuse the energy which flows from main inverter to spike-limit circuit during commutation time to aid commutation. Thus voltage stress of main thyristor is minimized. Since this inverter can be made up of thyristors for phase control, it has some advantage in high voltage and high power application.

• Journal of the Chungcheong Mathematical Society
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• v.27 no.3
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• pp.523-530
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• 2014

In this article, we deal with the notion of ­${\Omega}$-limit sets in dynamical systems. We show that the ${\Omega}$­-limit set of a compact subset of a phase space is quasi-attracting.

• The Pure and Applied Mathematics
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• v.2 no.2
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• pp.149-156
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• 1995

In stability theory of polysystems two concepts that playa very important role are the limit set and the prolongational limit set. For the above two concepts, A.Bacciotti and N.Kalouptsidis studied their properties in a locally compact metric space [2]. In this paper we investigate their results in c-first countable space which is more a general space than a metric space.(omitted)

• Journal of applied mathematics & informatics
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• v.37 no.3_4
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• pp.235-244
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• 2019

In this paper, we introduce the notion of the (L,${\ast}$,${\odot}$)-limit spaces and investigate the relations (L,${\ast}$,${\odot}$)-limit spaces and (L,${\ast}$)-filters on ecl-premonoid. We give their examples.

• Journal of the Korean Mathematical Society
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• v.56 no.4
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• pp.935-946
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• 2019

Hawkes process is a self-exciting simple point process with clustering effect whose jump rate depends on its entire past history. We consider Hawkes processes with uniform immigrants which is a special case of the Hawkes processes with renewal immigrants. We study the limit theorems for Hawkes processes with uniform immigrants. In particular, we obtain a law of large number, a central limit theorem, and a large deviation principle.

• Communications of the Korean Mathematical Society
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• v.37 no.4
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• pp.1249-1258
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• 2022

In this study, we show that the strong exponential limit shadowing property (SELmSP, for short), which has been recently introduced, exists on a neighborhood of a hyperbolic set of a diffeomorphism. We also prove that Ω-stable diffeomorphisms and 𝓛-hyperbolic homeomorphisms have this type of shadowing property. By giving examples, it is shown that this type of shadowing is different from the other shadowings, and the chain transitivity and chain mixing are not necessary for it. Furthermore, we extend this type of shadowing property to positively expansive maps with the shadowing property.

• Journal of Korean Academy of Fundamentals of Nursing
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• v.3 no.1
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• pp.68-80
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• 1996

Long-term hemodialysis(HD) patients manifest various signs of protein and caloric malutrition due to poor intake of nutrients and other causes. Poor nutritional status increases the mortality and morbidity rates in HD patients. Thus, mataintnance of adequate nutritional status has been a major task in taking care of patients receiving HD. This study was to evaluate the nutritional status of HD patients and to clarify the degree of nutritional deficit based on usual dietary intake, anthropometric and biochemical indicators. Sixty HD patients comprised a HD group, while the control group consisted of 60 healthy adults whose age and sex matched those of the HD group. Nutritional status was evaluated by dietrary intake using instant nutritional scale, anthropometric measures, serum protein concentrations and the number of lymphocytes. The data were analyzed by using Chi-square test and unpaired t-test. The results are as follows. 1. Regarding usual dietary intake of HD group. 1) Estimated caloric intake was significantly lower than the recommended daily allowance(RDA) and among them, 35% were taking calories less than 85% of the RDA. 2) Estimated protein intake was significantly higher than the RDA and among them 40% were taking protein more than 115% of the RDA. 3) Estimated fat intake was lower than the RDA. 4) Vitamin A, B, $B_1,\;B_2$, C and niacin in take was lower than the RDA respectively. 5) Estimated ferrous intake was within the normal limit the RDA while estimated calcium intake was higher than the RDA. 6) Both calorie and protein intake were higher for the 10 patients who had been under continuous ambulatory peritoneal dialysis than for the patients under HD from the beginning. 2. Regarding anthropometric measures : 1) Body mass index(BMI), midarm circumference(MAC), and triceps skinfold thickness(TSF) were lower in the HD group than in the control group. 2) Among HD group, 47.1% were within the normal limit of BMI, while 86.7% were within the same limit in the control group. 3) Among HD group, 35.0% were within the normal limit of MAC, while 83.3% were within the same limit in the control group. 4) Among HD group, only 8.3% were normal, 30.3% were mild deficit status of TSF, while 50% were normal and 48.3% were mild deficit status in the control group. 3. Regarding biochemical laboratory tests 1) Albumin, transferrin concentrations and the number of lymphocytes were lower in HD group than in the control group. 2) Among HD group, 98.3% were within the normal limit of albumin concentration and all were within the same limit in the control group. 3) Among HD group, only 11.7% were within the normal limit of transferrin concentration, while 81.7% were within the same limit in the control group. 4) Among HD group, 25% were within the normal limit, while 93.3% were within the same limit in the control group. The above findings suggest that HD patients were in nutritional deficit status. Adequate diet therapy and periodical evaluation of the nutritional status in HD patients are needed. Accordingly, it turned out that anthropometric measures were very reliable parameters and easy to use to evaluate nutritional status. So nurses are encouraged to adopt anthropometric measures to examine nutritional deficit status of HD patients.