• Korean Journal of Mathematics
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• v.21 no.4
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• pp.455-462
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• 2013

Let D be an integral domain, S be a saturated multi-plicative subset of D such that $D_S$ is a factorial domain, $\{X_{\alpha}\}$ be a nonempty set of indeterminates, and $D[\{X_{\alpha}\}]$ be the polynomial ring over D. We show that S is a splitting (resp., almost splitting, t-splitting) set in D if and only if every nonzero prime t-ideal of D disjoint from S is principal (resp., contains a primary element, is t-invertible). We use this result to show that $D{\backslash}\{0\}$ is a splitting (resp., almost splitting, t-splitting) set in $D[\{X_{\alpha}\}]$ if and only if D is a GCD-domain (resp., UMT-domain with $Cl(D[\{X_{\alpha}\}]$ torsion UMT-domain).

• The Korean Journal of Zoology
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• v.32 no.4
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• pp.441-449
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• 1989

Azadirachtin은 Leucophaeq muderae (Fabricius연 하루 활동주기길이를 0.16 $\pm$ 0.03 h 단축시켰으며, 실험동물의 40 %에서 리듬의 Splitting현상이 관찰되었다. 하루에 두개의 활동주기를 보이는 Splitting현상은 서로 180$^{\circ}$를 유지하여 나타났고, 이는 동물의 실험 전의 본래 주기길이가 평균보다 더 긴 주기를 지닌 동물에게 주로 나타났다. 또한 활동주기의 Splitting현상을 보이는 동물의 안구와 뇌신경(optic lobe) 절단수술 후 Splitting이 사라짐으로써 Azadirachtin이 뇌신경에 자극을 주어 Splitting을 야기시켰으며, 한쌍의 optic lobe 중 어느 한쪽만으로도 동물의 활동주기 조절가능성이 있다는 것이 본 실험을 통하여 밝혀졌다. Azadirachtin shortens the period length of the locomotor activity rhythm in the circadian rhythm of Leucophoeo maderae and induces splitting of this rhythm in ho components in about 40% of the animals. The phase relationship between the ho components is 180$^{\circ}$Both shortening of period and splitting are more pronounced in animals processing longer periods before the injection of azadirachtin. Splitting disappears after the surgical transection of optic lobe.

• Proceedings of the Korean Geotechical Society Conference
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• 1998.10a
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• pp.209-216
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• 1998

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.10 no.10
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• pp.5074-5094
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• 2016

Screen splitting is one of the fundamental tasks in different methods including video and image compression, screen classification, screen content coding and the like. These methods in turn support various applications in data communications, remote screen sharing, remote desktop delivery to assist teaching-learning, telemedicine, Desktop as a Service etc. In the literature we find systems requiring splitting assumes a fixed size split that do not change dynamically, also there is no analysis why that split is chosen in terms of performance. By doing mathematical analysis this paper first finds the efficient splitting schemes that can be easily automated to make a system adaptive. Thereafter, taking the screen motion detection as a case study, it demonstrates the effects of various splitting methods on motion detection performance. The simulation results clearly shows how classification performances varies with different splitting which will facilitate to choose the best splitting for a specific application scenario as well as making the system adaptive by providing dynamic splitting.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.23 no.1
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• pp.1-18
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• 2019

In contrast to the well-developed convex splitting schemes for gradient flows of two-component system, there were few efforts on applying the convex splitting idea to gradient flows of multi-component system, such as the vector-valued Cahn-Hilliard (vCH) equation. In the case of the vCH equation, one need to consider not only the convex splitting idea but also a specific method to manage the partition of unity constraint to design an unconditionally energy stable scheme. In this paper, we propose a constrained Convex Splitting (cCS) scheme for the vCH equation, which is based on a convex splitting of the energy functional for the vCH equation under the constraint. We show analytically that the cCS scheme is mass conserving and unconditionally uniquely solvable. And it satisfies the constraint at the next time level for any time step thus is unconditionally energy stable. Numerical experiments are presented demonstrating the accuracy, energy stability, and efficiency of the proposed cCS scheme.

• Journal of the Korean Statistical Society
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• v.30 no.3
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• pp.387-406
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• 2001

Adaptive estimators for a class of nonlinear time series models has been proposed by several authors. Koul and Schick(1997) proposed the adaptive estimators without sample splitting for location-type time series models. They also showed by simulation that the adaptive estimators without sample splitting have smaller mean squared errors than those of the adaptive estimators with sample splitting. the present paper generalized the result in a case of location-scale type nonlinear time series models by simulation.

• Journal of Pharmaceutical Investigation
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• v.37 no.2
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• pp.119-126
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• 2007

Tablet splitting is used in pharmacy practice to adjust the dose to be administered. However, it also causes several problems such as undesirable effect for sustained release or enteric-coated dosage form, inaccuracy of dose, and pharmacist's safety by splitting hazardous drugs. This study investigated the current status of oral dosage form splitting for patients older than 19 years by analyzing Korea National Health Insurance Claims Database. Out of oral solid drugs prescribed (N=1,486,584) 9.8% of them included tablets (or capsules) split. There were some splitting cases even in sustained release (4.9%), enteric-coated forms (1.3%) and hazardous drugs (2.7%) that were selected by NIOSH (The National Institute for Occupational Safety and Health). The most frequently split drugs were antihistamines, neuropsychotics and steroids. In case of digoxin and warfarin, unit doses in a domestic market were not diverse compared to foreign markets. Guidelines for splitting oral solid dosage forms, approval of diverse doses and conducting dose-response studies for the commonly splitting ingredients on Korean people are needed for the saff and effective use of oral solid drugs.

• Journal of the Korea Concrete Institute
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• v.16 no.5 s.83
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• pp.719-724
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• 2004

The ribs of deformed bars can split the cover concrete by wedging action or shear off the concrete in front of the ribs. As slip of deformed bars increases, the rib face angle is flattened by the crushed concrete wedge, which reduces the rib face angle to a smaller bearing angle. The roles of bearing angle are explored to simulate this observation. Analytical expressions to determine bond strength for splitting and pullout failure are derived, where the bearing angle is a key variable. As the bearing angle is reduced, splitting strength decreases and shearing strength increases. When splitting strength becomes larger than shearing strength, the concrete key is supposed to be sheared off and the bearing angle is reduced with decreasing the splitting strength. As bars slip, bearing angle decreases continually so that splitting bond strength is maintained to be less than shearing bond strength. The bearing angle is found to play a key role in controlling the bond failure and determination of bond strength of ribbed reinforcing steel in concrete structures.

• Journal of Electrochemical Science and Technology
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• v.7 no.1
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• pp.1-12
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• 2016

The production of oxygen and hydrogen from solar water splitting has been considered to be an ultimate solution for energy and environmental issues, and over the past few years, nano-sized semiconducting metal oxides alone and with graphene have been shown to have great promise for use in photocatalytic water splitting. It is challenging to find ideal materials for photoelectrochemical water splitting, and these have limited commercial applicability due to critical factors, including their physico-chemical properties, the rate of charge-carrier recombination and limited light absorption. This review article discusses these main features, and recent research progress and major factors affect the performance of the water splitting reaction. The mechanism behind these interactions in transition metal oxides and graphene based nano-structured semiconductors upon illumination has been discussed in detail, and such characteristics are relevant to the design of materials with a superior photocatalytic response towards UV and visible light.

• Korean Journal of Optics and Photonics
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• v.13 no.6
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• pp.479-485
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• 2002

We propose a vector analysis for designing multimode-interference power splitters, which can show an arbitrary splitting ratio. Power splitting is a fundamental characteristic in integrated optical circuits and its value would be multiplied for many applications if the splitting ratio could be selected freely. Since the vector analysis utilizes a graphical method based on the previously-reported mathematical results of multimode interference, it shows an excellent advantage especially for designing power splitters with an arbitrary splitting ratio.