• 대한수학회보
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• 제56권3호
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• pp.757-777
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• 2019

In this paper, we study the convergence analysis of the sequences generated by the proximal point method for an infinite family of pseudo-monotone equilibrium problems in Banach spaces. We first prove the weak convergence of the generated sequence to a common solution of the infinite family of equilibrium problems with summable errors. Then, we show the strong convergence of the generated sequence to a common equilibrium point by some various additional assumptions. We also consider two variants for which we establish the strong convergence without any additional assumption. For both of them, each iteration consists of a proximal step followed by a computationally inexpensive step which ensures the strong convergence of the generated sequence. Also, for this two variants we are able to characterize the strong limit of the sequence: for the first variant it is the solution lying closest to an arbitrarily selected point, and for the second one it is the solution of the problem which lies closest to the initial iterate. Finally, we give a concrete example where the main results can be applied.

• Kyungpook Mathematical Journal
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• 제62권4호
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• pp.699-713
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• 2022

This paper proposes a hybrid successive over-relaxation iterative method for the numerical solution of a nonlinear diffusion in a one-dimensional porous medium. The considered mathematical model is discretized using a computational complexity reduction scheme called half-sweep finite differences. The local truncation error and the analysis of the stability of the scheme are discussed. The proposed iterative method, which uses explicit group technique and modified successive over-relaxation, is formulated systematically. This method improves the efficiency of obtaining the solution in terms of total iterations and program elapsed time. The accuracy of the proposed method, which is measured using the magnitude of absolute errors, is promising. Numerical convergence tests of the proposed method are also provided. Some numerical experiments are delivered using initial-boundary value problems to show the superiority of the proposed method against some existing numerical methods.

• Steel and Composite Structures
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• 제46권6호
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• pp.719-729
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• 2023

This paper studies electro-magneto-mechanical bending studying of the cylindrical panels based on shear deformation theory. The cylindrical panel is constrained with two simply-supported edges at longitudinal direction and two clamped boundary conditions at circumferential direction. The governing equations are derived based on the principle of virtual work in cylindrical coordinate system. Levy-type solution of the governing equations is derived to reduce two dimensional PDEs to a 2D ODEs. The reduced ordinary differential equation is solved using the Eigen-value Eigen-vector method for the clamped-clamped boundary condition. The electro-magneto-mechanical bending results are obtained to show that every displacement, rotation and electromagnetic potentials how change with changes of initial electromagnetic potentials and mechanical loads along longitudinal and circumferential directions.

• Structural Engineering and Mechanics
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• 제89권4호
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• pp.335-347
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• 2024

This study pioneers the exploration of creep and shrinkage behavior in ambient-cured geopolymer concrete (GPC), a vital yet under-researched area in concrete technology. Focusing on the influence of sodium hydroxide (NaOH) solution concentration, the research utilizes low calcium fly ash (Class-F) and alkaline solutions to prepare two sets of GPC. The results show distinct patterns in compressive strength development and dry shrinkage reduction, with a 14 M NaOH solution demonstrating a 26.5% lower dry shrinkage than the 16 M solution. The creep behavior indicated a high initial strain within the first 7 days, significantly influenced by curing conditions and NaOH concentration. This study contributes to the existing knowledge by providing a deeper understanding of the time-dependent properties of GPC, which is crucial for optimizing its performance in structural applications.

• 한국잠사곤충학회지
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• 제31권2호
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• pp.121-126
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• 1989

1. 제사용수의 pH가 총탄산이 낮은 용수에서는 견층 Sericin 용해에 미치는 영향이 적었지만, 총탄산이 높은 용수에서는 견층 Sericin 용해에 미치는 영향이 컸다. 2. 총탄산이 낮은 용수에서는 견층처리전후의 pH변화가 컸지만 총탄산이 높은 용수에서는 그 변화가 적었다. 3. 무탄산 증류수로 표준경도용액을 만들어 견층을 처리한 결과 경도가 높고 낮은데 대한 Sericin 용액관계는 없었다.

• Journal of Pharmaceutical Investigation
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• 제23권4호
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• pp.225-229
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• 1993

The stability of omeprazole in the aqueous solutions containing arginine or sodium phosphate dibasic(SPD) was examined at 30, 40 and $50^{\circ}C$. Arginine or anhydrous SPD was added to omeprazoie solution ($200{\mu}g/\;ml$ in distilled water) to yield $100{\mu}g/\;ml$ concentration of each. Then, the solution was kept at 30, 40 or $50^{\circ}C$ for 90 hrs. Aliquots of the solution were withdrawn at specified time intervals and assayed by HPLC for intact omeprazole. The remaining percentage-time curves revealed that omeprazole was degraded rapidly as funtions of time and temperature following pseudo first-order kinetics. The rate constant in the SPD solution was much higher than in the arginine solution. In other words. the degradation half-lives of omeprazole at $30^{\circ}C$, for example, was 148 and 76 hr in arginine and SPD solutions respectively. The initial pH of the solution containing $100{\mu}g/\;ml$ of arginine or SPD was 9.7 or 8.7, respectively. Since omeprazole is more stable as the pH of its solution becomes more alkaline, the longer half-life of omeprazole in arginine solution could be explained by the more alkaline characteristics of arginine than SPD in the solution. The activation energy necessary for the degradation reaction was almost identical in both solutions, indicating similar degradation mechanisms of omeprazole in the solutions. In conclusion, omprazole was more stable in the presence of arginine than of SPD.

• 정보학연구
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• 제3권2호
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• pp.73-85
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• 2000

본 논문에서는 여러가지 상이한 메세지를 전송하는 정보통신 네트워크의 효율적인 해법을 개발하였다. 이 문제는 네트워크 이론에서의 전형적인 다품종 네트워크로의 전환이 가능하다. 이러한 문제는 문제의 크기에 따라 계산의 복잡도가 지수적으로 증가하는 대표적인 NP-완전문제이다. 본 논문에서 개발된 해법은 전통적인 라그랑지 이완법을 보완한 것으로 다음과 같이 구성된다. 우선 우수한 초기 실현가능해(good initial feasible solution)를 얻을 수 있는 휴리스틱 방법을 개발하고 초기 실현가능해가 얻어지면 이를 이용하여 초기 쌍대변수(이완된 제약식에 붙게되는 라그랑지 승수)를 추정한다. 대개의 경우 쌍대 변수를 임의로 0으로 설정하고 해법을 수행하는데, 이 경우 쌍대 최적해와의 차이가 많이 나게되므로 비효율이 발생할 수 있다. 쌍대 최적해를 얻은 후 원문제의 실현가능조건을 위배하는 경우에는 재할당 방법(re-allocation method)를 통해 원문제의 실현가능조건을 충족하도록 한다. 해법의 성능(효율성) 테스트 결과 저자들이 개발한 해법이 수행속도 면에서 상업용 팩키지와 기존의 효율적인 해법들에 비하여 매우 우수하다는 결과를 얻을 수 있었다. 또한 본 해법은 최적해를 보장하지 않지만 최적해와의 차이가 평균 2% 미만의 근사 최적해를 얻을 수 있었다.

• Journal of Pharmaceutical Investigation
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• 제38권1호
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• pp.31-38
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• 2008

The objective of this work is to study transdermal delivery of levodopa using iontophoresis and evaluate various factors which affect the transdermal transport. Levodopa is unstable in aqueous solution, and, in order to establish a stable condition for levodopa for the duration of experiment, we investigated the stability of levodopa in aqueous solutions of different pHs with/without the addition of dextrose or the application of current. Using stable aqueous solution, we have studied the effect of pH, polarity and penetration enhancer (ethanol) on transdermal flux and compared the results. We also investigated the iontophoretic flux from hydroxypropyl cellulose (HPC) hydrogel. In vitro flux study was performed at $33^{\circ}C$, using side-by-side diffusion cell. Full thickness hairless mouse skin and rat skin were used for this work. Current densities applied were 0.4 or $0.6mA/cm^2$ and current was off after 6 hour application. Stability study showed that levodopa solution with a pH 2.5 or 4.5 maintained the initial concentration of levodopa for 24 hours with the addition of 5% dextrose. However, at pH 9.5, levodopa was unstable and 30 to 40% of levodopa degraded within 24 hours, even with the addition of 5% dextrose. Hydrogel swollen with dextrose added levodopa solution maintained about 97% of the initial concentration of levodopa for 13 days, when stored in $4^{\circ}C$. The application of current did not affect the stability of levodopa in hydrogel. Flux study from levodopa solution with pH 2.5 showed that cathodal delivery of levodopa was higher than passive or anodal delivery. When the pH of the donor solution was 4.5, anodal delivery of levodopa was higher than passive or cathodal delivery. These results seem to indicate that electroosmosis plays more dominant role than electrorepulsion in the flux of levodopa at pH 2.5, and the reverse situation applies for pH 4.5. The passive flux was unexpectedly high for the ionized levodopa. Similar to the results from aqueous solution, cumulative amount of levodopa transported trom HPC hydrogel by cathodal delivery was significantly higher than passive or anodal delivery. The treatment of 70% ethanol cotton ball by scrubbing increased passive, anodal and cathodal flux, with the largest increase for anodal flux. These results indicate that iontophoretic delivery of zwitterion such as levodopa is much complicated than that can be expected from small ionic molecules with single charge. The results also indicate that the balance between electroosmosis and electrorepulsion plays a very important role in the transport through skin.

• 멤브레인
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• 제8권1호
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• pp.42-49
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• 1998

한외여과막 반응기에서 gelatin 및 bovine serum albumin(BSA) 용액을 한외여과막(MWCO 5,000)으로 여과시 작동시간, pH, 온도, 농도 및 단백질 가수분해 효소의 첨가가 투과유속에 미치는 영향에 대하여 검토하였다. 한외여과막 반응기의 작동시간에 따른 gelatin 용액의 투과유속은 작동시간 20분까지 약간 감소하다가 그 이후에는 $18.9l/m^2\cdot hr$로 거의 일정하게 유지되었으며, BSA 용액은 작동시간 40분까지 완만하게 감소하다가 그후 $6.4l/m^2\cdot hr$로 초기유속의 66%가 감소하였다. 온도에 따른 gelatin 용액의 투과유속은 온도가 올라감에 따라 비례적으로 증가하였다. BSA 용액은 $60{\circ}C$에서 투과유속이 가장 높았으며, 30~$50{\circ}C$ 범위에서는 온도의 영향을 받지 않았다. pH 변화에 따른 gelatin 및 BSA 용액의 투과유속은 10psi 이상에서 각각의 등전점 영역인 pH 5.0에서 가장 낮았다. 투과압력 30psi에서 1% 및 6%(w/v) gelatin용액의 투과유속은 각각 $43.0l/m^2\cdot hr$ 및 $13.5l/m^2\cdot hr$ 였으며, BSA 용액의 경우는 1% 및 4%에서 $33.0l/m^2\cdot hr$ 및 $14.0l/m^2\cdot hr$로 농도가 증가됨에 따라 각각 68.6% 및 57.6% 감소하였다. Gelatin 및 BSA 용액에 단백질 가수분해효소의 첨가에 의한 투과유속은 gelatin 및 BSA의 저분자화에 의한 점도의 감소로 효소를 첨가하지 않은 것보다 30% 향상되었다.

• Environmental Engineering Research
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• 제23권1호
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• pp.1-9
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• 2018

The degradation of methylene blue (MB) in an aqueous solution by nano-metallic particles (NMPs) was studied to evaluate the possibility of applying NMPs to remove MB from the wastewater. Scanning electron microscopy (SEM), Fourier-transform infrared (FTIR) spectroscopy and X-ray photoelectron spectroscopy (XPS) were used to characterize the synthesized NMPs before and after the reaction. The effects of the NMP dosage, the initial pH, the initial concentration of MB and the amount of $H_2O_2$ on the MB degradation outcomes were studied. The highest removal rate of MB was achieved to be 100% with an initial MB concentration of 5 mg/L, followed by 99.6% with an initial concentration of 10 mg/L under the following treatment conditions: dose of NMP of 0.15 g/L, concentration of $H_2O_2-100mM$ and a temperature of $25^{\circ}C$. The SEM analysis revealed that the nano particles were not spherical in shape. FTIR spectra shows occurrence of metal oxides on the surfaces of the NMPs. The XPS analyses results represent that Fe, Zn, N, Ca, C and O were occurred on the surfaces of the NMPs. The degradation of MB was suitable for the pseudo-first-order kinetics.