• Communications of the Korean Mathematical Society
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• v.34 no.3
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• pp.967-979
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• 2019

Chaotic dynamical systems, preferably on a Cantor-like space with some arithmetic operations are considered as good pseudo-random number generators. There are many definitions of chaos, of which Devaney-chaos and pos itive topological entropy seem to be the strongest. Let $A=\{0,1,{\dots},p-1\}$. We define a continuous map on $A^{\mathbb{Z}}$ using addition with a carry, in combination with the shift map. We show that this map gives rise to a dynamical system with positive entropy, which is also Devaney-chaotic: i.e., it is transitive, sensitive and has a dense set of periodic points.

• Bulletin of the Korean Chemical Society
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• v.12 no.2
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• pp.170-177
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• 1991

A lattice mean field theory is developed to investigate the conformational properties of monolayer amphiphiles at the air-water interface. By generalizing Dill and Cantor's method and by extending Whittington's recurrence equation, we derive the supermatrix recurrence equation which is applied to calculation of various segment density profiles and order parameter, etc. In deriving the equation, we incorporated the chain stiffness effect and the chain connectivity which are distinguished features of linear chain molecule. Our result shows that, as the surface coverage $\sigma$ increases the chain ordering process with respect to vertical axis of the lattice system becomes dominant.

• The Korean Journal of Zoology
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• v.12 no.2
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• pp.35-38
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• 1969

1. The sensibility of Fluta alba Zuiew to acetylcholine is more than ten times as strong as that of Ophicephalus argus Cantor which has been ever known as the most sensitive material. Fluta alba Zuiew is, therefore, considered as the best material for the bioassay of acetylcholine. 2. 5-hydorxytryptamine accelerates very much the heart activity of Misgurnus mizolepis Gunther but inhibits that of Fluta alba. 3. The sensibility of Fluta alba to norepinephrine is more than a hundred times as strong as that to epinephrine.

• Journal for History of Mathematics
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• v.22 no.3
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• pp.1-30
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• 2009

Frege's logicism has been frequently regarded as a development in number theory which succeeded to the so called arithmetization of analysis in the late 19th century. But it is not easy for us to accept this opinion if we carefully examine his actual works on real analysis. So it has been often argued that his logicism was just a philosophical program which had not contact with any contemporary mathematical practices. In this paper I will show that these two opinions are all ill-founded ones which are due to the misunderstanding of the theoretical place of Frege's logicism in the context of contemporary mathematical practices. Firstly, I will carefully examine Cantorian definition of real numbers and Frege's critiques of it. On the basis of this, I will show that Frege's aim was to produce the purely logical definition of ratios of quantities. Secondly, I will consider the mathematical background of Frege's logicism. On the basis of this, I will show that his standpoint in real analysis was much subtler than what we used to expect. On the one hand, unlike Weierstrass and Cantor, Frege wanted to get such real analysis that could be universally applicable. On the other hand, unlike most mathematicians who insisted on the traditional conceptions, he would not depend upon any geometrical considerations in establishing real analysis. Thirdly, I will argue that Frege regarded these two aspects - the independence from geometry and the universal applicability - as those which characterized logic itself and, by logicism, arithmetic itself. And I will show that his conception of real numbers as ratios of quantities stemmed from his methodological maxim according to which the nature of numbers should be explained by the common roles they played in various contexts to which they applied, and that he thought that the universal applicability of numbers could not be adequately explicated without such an explanation.

• The Korean Journal of Zoology
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• v.7 no.2
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• pp.6-12
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• 1964

The present paper deals with the changes in serum protein fraction, total serum protein, hematocrit, red blood cell, haemoglobin, and weight of liver or kidney : body weight ratio of irradiated and non-irradiated snake head, Ophicephalus argus(CANTOR) . Irrardiation doses are 2537$\AA$-7 minutes (7M) and 2537$\AA$-15 minutes (15M). Serum electrophoretic patterns showed a marked decrease in albumin fraction at 1, 3, 9, 12 and 15 days on 7M group and 15 M group. On both experimental groups percentage increases in $\alpha$1 and $\beta$ fractions occurred at different time periods in general but are interpreted as only apparent changes accompanying the greater albumin fall. ${\gamma}$-Globulin decreased at 1, 6 and 15 days on 7M group. and at 1, 3, 6 and 9 days on 15M group. Also, A/G ratio was significantly low in groups subjected to above conditions as compared to the controls. A/G ratio decreased at 3 and 15 days remarkably on both groups. On the average, the reductions in the A/G ratio were not proportional to themagnitude of ultraviolet-light. Total protein of serum changed according to suggestive changes in electrophoretic patterns of serum . Total protein of serum declined at 1, 3, 6, 9 and 12 day periods on 7M groups and at 1, 3, 9, 12 and 15 day-periods on 15 M group, and increased approaching control values at 15 and 18 day-periods on both groups. Hematocrit increased remarkably at 1, 3, 6 and 12 days and decreased at 9 and 15 days on 7M group, and increased throughout the sampling period on 15M . Red blood cell decreased throughout the sampling period and increased slightly at 6 days on 7 M group and decreased at 1, 6, 9, 15 and 18 days and increased remarkably at 3 and 12 days on 15M group. Hemoglobin decreased remarkably at 1 day-period and increased at other days on both groups. The liver weight was not remarkably changed after whole body irradiation on both groups. and kidney was increased from 1st day on 7M group and 3 rd day on 15M group respectively. It appears that changes in electropphoretic patterns of serum, A/G ratio, total protein of serum, hematocrit, red blood cell, hemoglobin, and liver or kidney weight act to the detriment of the animal following non-ionizing irradiation.

• The Journal of Engineering Geology
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• v.9 no.2
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• pp.119-134
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• 1999

Joints developed around the Moryang fault were investigated by traverse and inventory methods in order to characterize their orientation, spacing and density. The results of the traverse method show that the orientation of the dominant joint sets of the study area is NNE and EW, and that joint spacing distribution is a negative exponential distribution to the center of the fault and a log-normal distribution to the margin of the fault. The results of the inventory method show that the orientation of the dominant joint sets on joint map is NW and NE, and that joint density tends to increase toward the center of the fault. Fractal dimension was determined by using Box-counting method and Cantor's dust method to quantify the distribution of joint network and to evaluate the dimension around the fault. The dimension determined by Box-counting method ranges from 1.31 to 1.70 and shows the tendency of increasing value toward the center of the fault. Comparing fractal dimension by Box-counting method with joint density, fractal dimension is directly proportional to joint density. Nevertheless, fractal dimension could be varied due to the different distribution patterns of the joints with same density. The dimensions determined by Cantor's dust method show different values with respect to the orientation of scan lines. This results form the anisotropy of joint distribution.

• Steel and Composite Structures
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• v.1 no.3
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• pp.329-340
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• 2001

Cyclic response of "shear" connections between steel outrigger beams and reinforced concrete core walls is presented in this paper. The connections investigated in this paper consisted of a shear tab welded onto a plate that was connected to the core walls through multiple headed studs. The experimental data from six specimens point to a capacity larger than the design value. However, the mode of failure was through pullout of the embedded plate, or fracture of the weld between the studs and plate. Such brittle modes of failure need to be avoided through proper design. A capacity design method based on dissipating the input energy through yielding and fracture of the shear tab was developed. This approach requires a good understanding of the expected capacity of headed studs under combined gravity shear and cyclic axial load (tension and compression). A model was developed and verified against test results from six specimens. A specimen designed based on the proposed design methodology performed very well, and the connection did not fail until shear tab fractured after extensive yielding. The proposed design method is recommended for design of outrigger beam-wall connections.

• Smart Structures and Systems
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• v.3 no.4
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• pp.455-474
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• 2007

A flexibility-based distributed computing strategy (DCS) for structural health monitoring (SHM) has recently been proposed which is suitable for implementation on a network of densely distributed smart sensors. This approach uses a hierarchical strategy in which adjacent smart sensors are grouped together to form sensor communities. A flexibility-based damage detection method is employed to evaluate the condition of the local elements within the communities by utilizing only locally measured information. The damage detection results in these communities are then communicated with the surrounding communities and sent back to a central station. Structural health monitoring can be done without relying on central data acquisition and processing. The main purpose of this paper is to experimentally verify this flexibility-based DCS approach using wired sensors; such verification is essential prior to implementation on a smart sensor platform. The damage locating vector method that forms foundation of the DCS approach is briefly reviewed, followed by an overview of the DCS approach. This flexibility-based approach is then experimentally verified employing a 5.6 m long three-dimensional truss structure. To simulate damage in the structure, the original truss members are replaced by ones with a reduced cross section. Both single and multiple damage scenarios are studied. Experimental results show that the DCS approach can successfully detect the damage at local elements using only locally measured information.

• The Korean Journal of Zoology
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• v.8 no.2
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• pp.28-32
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• 1965

It is well known that many kinds of chemical or metalic agent which were ionized or undissociated at toxified external medium and remarkable effect occurred to the fresh water fish. The effects of hydrogen ion concentration on serum protein of fresh water fish, (phycephalus argus CANTOR) had not been reported yet. In this point, authors attempted to study the changes of A/G ratio, total protein, hemoglobin, hematocrit, RBC , liver and kidney weight of snake head in the above environment. 95 snake heads were subjected to external medium with PH-4.5 and A/G ratio, hematocrit, hemoglobin, total protein, RBC, and liver & kidney weight were measured at 32.80, 15202000 and 272 hours respectively. In whole experimental period, L 1 and L2 globulin increased, on the other, albumin decreased as compare with control . Hence, the A/G ratio decreased remarkably . Though, total protein increased prominently through the whole experimental period, hematocrit, hemoglobin, RBC, increased only at 80 hours, and then decreased as compared to the control. Liver weight revealed distinctive increase at 80 hours, but no remarkable change could be seen there after. Hence, kidney weight revealed continuous rise. By these results, it may be said that as snake head were subjected to external medium with PH-4.5, this environmental factor influenced protein metabolism , blood component and organs.

• The Korean Journal of Zoology
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• v.8 no.2
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• pp.42-46
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• 1965

가물치 (Ophicephalus argus CANTOR) ♂♀를 재료로 하여 두 실험군으로 나누어서 대조군에 부치사량인 25-${\gamma}$의 137Cs-${\gamma}$ 선을 조사하고 실험군에는 250${\gamma}$의 137Cs-${\gamma}$선을 조사 즉후 adrenaline (0.5cc/80g$\pm$18%)을 매일 투여하여 약 23$^{\circ}C$에서 사육하면서 혈청단백질의 전기영동상과 총혈청단백질의 변화를 1, 4, 7, 10 , 13 및 1일구간으로 분리 즉 시일적 경과로 조사하였다. 한편 가물치에서의 ${\gamma}$선 치사량은 310${\gamma}$이다. 1) 양군에서 일반적으로 1, 4, 7, 10 및 13 일구에 현저한 albumin 분설의 감소가 나타났다. 즉 대조군인 adrenaline 비투여 대조군에서 a1 및 a2 globulin 분설의 증가와 실험군이 adrenaline 투여 대조군에서 a1 및 $\beta$-globulin 분설의 증가에 다른 albumin 분설의 감소가 나타났다. 따라서 A/G 비고 역시 시일적 경과에 따라 감소된 치를 나타내었다. 그러나 특히 adrenabine 투여 대조군의 1 일간에서 A/G비가 현저하게 감소의 지체성을 나타내었다. 2) 총혈청단백질량은 양군에서 일반적으로 1, 4 및 7일구에서 현저하게 감소되나 13 미치 16 이구에서 가물치의 정상치로 근접된 치를 나타내었다. 그러나 특히 adrenaline 투여 조사군에서 4 및 7일구에서 현저하게 감소의 지체성을 나타내었다. 3) 상기의 결과로 미루어보다 명백하게 혈청단백질에 미치는 adrenaline 처리의 방어효과가 ${\gamma}$선 조사후 특히 초기상태에서 현저하게 초래된다고 생각도니다.