• Title/Summary/Keyword: Li-Hak

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Analysis of Three Dimensional Crack Growth by Using the Symmetric Galerkin Boundary Element Method

  • Kim, Tae-Soon;Park, Jai-Hak
    • International Journal of Safety
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    • v.2 no.1
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    • pp.17-22
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    • 2003
  • In order to analyze general three dimensional cracks in an infinite body, the symmetric Galerkin boundary element method formulated by Li and Mear is used. A crack is modelled as distribution of displacement discontinuities, and the governing equation is formulated as singularity-reduced integral equations. With the proposed method several example problems for three dimensional cracks in an infinite solid, as well as their growth under fatigue, are solved and the accuracy and efficiency of the method are demonstrated.

Almost sure convergence for weighted sums of I.I.D. random variables (II)

  • Sung, Soo-Hak
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.419-425
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    • 1996
  • Let ${X, X_n, n \geq 1}$ be a sequence of independent and identically distributed(i.i.d) random variables with EX = 0 and $E$\mid$X$\mid$^p < \infty$ for some $p \geq 1$. Let ${a_{ni}, 1 \leq i \leq n, n \geq 1}$ be a triangular arrary of constants. The almost sure(a.s) convergence of weighted sums $\sum_{i=1}^{n} a_{ni}X_i$ can be founded in Choi and Sung[1], Chow[2], Chow and Lai[3], Li et al. [4], Stout[6], Sung[8], Teicher[9], and Thrum[10].

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CONVERGENCE THEOREMS OF THREE-STEP ITERATION METHODS FOR QUASI-CONTRACTIVE MAPPINGS

  • Hao, Jinbiao;Wang, Li;Kang, Shin-Min;Shim, Soo-Hak
    • East Asian mathematical journal
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    • v.18 no.2
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    • pp.261-270
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    • 2002
  • We obtain the convergence of three-step iteration methods and generalized three-step iteration methods for quasi-contractive and generalized quasi-contractive mappings, respectively, in Banach spaces. Our results extend the corresponding results in [1], [4]-[6].

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Provenance and Concept of 10 Symptoms of Para-cold Damage(類傷寒) from Yixuerumen(醫學入門) (『의학입문(醫學入門)·상한편(傷寒篇)』 유상한(類傷寒) 병증(病症) 10종의 유래와 개념에 대한 연구)

  • Jo, Hak-jun
    • Journal of Korean Medical classics
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    • v.29 no.4
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    • pp.17-36
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    • 2016
  • Objectives : This paper seeks to study the provenances of 10 Symptoms of Para-cold damage from Yixuerumen, and discovers the rationality and originality of para-cold damages recognized by Li Chan. Methods : The paper looks through the books referenced by Yixuerumen to investigate the source text for Yixuerumen's Para-cold Damage chapter, and the contents of the referenced books will be compared to that of Yixuerumen. Results : The sources of the 10 symptoms of para-cold damage from Yixuerumen Chapter of Cold Damage can be traced to Leizhenghuorenshu (expectoration, indigestion, rising temperature due to lack of energy, and beriberi), Wang Zhen's Shanghanzhengzhimingtiao Xinzengxuleishanghansizheng(the infection in a boil, blood sattis, caused overexertion, and pox), and Liu Chun's Yujiweiyi's chapter on Common Cold. Here, Li Chan made his own addition of internal damage and damage of overworking. Li Chan seems to have considered para-cold damage not as a type of cold damage but as a "concept relative to the broader range of cold damage." In reflection of this understanding, Li Chan limited the number of categories to ten in accordance with the developmental trace leading from Leizhenghuorenshu to Shanghanzhengzhimingtiao. When we understand para-cold damage as a "concept relative to the narrower range of cold damage," it could be used as a mean as for "Wenbin diagnosis," but Yixuerumen's para-cold damage is only utilized for the "diagnosis of a broader concept of cold damage." Conclusions : Li Chan deserves credits for his academic rationality and originality displayed by the method he used to form para-cold damages where he used real cold damage and para-cold damage as principles, by the division of para-cold damage symptoms into ten provenances, by the creation of the concept of para-cold damage, and by his broad collection of prescription and treatment corresponding to each type.

Preparation and Characterization of Plasticized Poly(vinyl chloride)-g-Poly(oxyethylene methacrylate) Graft Copolymer Electrolyte Membranes (가소화된 Poly(vinyl chloride)-g-Poly(oxyethylene methacrylate) 가지형 고분자 전해질막 제조 및 분석)

  • Seo, Jin-Ah;Koh, Jong-Kwan;Koh, Joo-Hwan;Kim, Jong-Hak
    • Membrane Journal
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    • v.21 no.3
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    • pp.222-228
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    • 2011
  • Poly(vinyl chloride)-g-poly(oxyethylene methacrylate) (PVC-g-POEM) graft copolymer was synthesized via atom transfer radical polymerization (ATRP) and used as an electrolyte for electrochromic device. Plasticized polymer electrolytes were prepared by the introduction of propylene carbonate (PC)/ethylene carbonate (EC) mixture as a plasticizer. The effect of salt was systematically investigated using lithium tetrafluoroborate ($LiBF_4$), lithium perchlorate ($LiClO_4$), lithium iodide (LiI) and lithium bistrifluoromethanesulfonimide (LiTFSI). Wide angle X-ray scattering (WAXS) and differential scanning calorimetry (DSC) measurements showed that the structure and glass transition temperature ($T_g$) of polymer electrolytes were changed due to the coordinative interactions between the ether oxygens of POEM and the lithium salts, as supported by FT-IR spectroscopy. Transmission electron microscopy (TEM) showed that the microphase-separated structure of PVC-g-POEM was not greatly disrupted by the introduction of PC/EC and lithium salt. The plasticized polymer electrolyte was applied to the electrochromic device employing poly(3-hexylthiophene) (P3HT) conducting polymer.

Electrochemical Noise Analysis on the General Corrosion of Mild steel in Hydrochloric Acid Solution

  • Seo, Do-Soo;Lee, Kwang-Hak;Kim, Heung-Sik
    • Corrosion Science and Technology
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    • v.7 no.6
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    • pp.319-323
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    • 2008
  • The polarization resistance of mild steel in 0.5M hydrochloric acid has been evaluated by using impedance (Z) and linear polarization (LPR) techniques and compared to the noise resistance obtained from electrochemical noise data. The degree of localization of this general corrosion has also been discussed by evaluating localization index and power spectral density. Polarization resistance obtained by LPR technique ($28\Omega$) was higher than that obtained by impedance technique ($15\Omega$). Noise resistance ($11\Omega$) was much lower than polarization resistance measured by both of above techniques. Higher polarization resistance obtained by LPR technique is generally caused by passivation effect in the presence of scales or deposits which can introduce an increased resistance as can low conductivity electrolytes. The reason why noise resistance is lower than polarization resistance is the effect of background noise detected by using three platinum electrodes cell in 0.5M hydrochloric acid. Slope($-\beta$) of power spectral density (PSD) obtained from analysis of noise data ($-\beta$ = 3.3) was much higher than 2 which indicates mild steel corroded uniformly. Localization index (LI) calculated from statistical analysis (LI=0.08) is much lower than 1 which indicates that mild steel did not corroded locally. However, LI value is still higher than $1x10^{-3}$ and this indicates that mild steel corroded locally in microscopic point of view.

Comparison of Treatment Effect of Domestically Distributed Major Silage Inoculant

  • Young Sang Yu;Yan Fen Li;Xaysana Panyavong;Li Zhunang Wu;Jeong Ung Hwang;Li Li Wang;Hak Jin Kim;Won Jin Lee;Jong Geun Kim
    • Journal of The Korean Society of Grassland and Forage Science
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    • v.44 no.1
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    • pp.50-57
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    • 2024
  • Silage inoculants, crucial in modern silage production, comprise beneficial microorganisms, primarily lactic acid bacteria (LAB), strategically applied to forage material during ensiling. This study aimed to compare the effectiveness of various inoculants produced by different companies. Five treatments were evaluated, including a control group: T1 (Lactobacillus plantarum), T2 (Lactobacillus plantarum + Pediococcus pentosaceus), T3 (Lactobacillus plantarum + Pediococcus pentosaceus + Lactobacillus buchneri), T4 (Lactobacillus plantarum + Lactobacillus acidophilus + Lactobacillus bulgaricus), and T5 (Lactobacillus plantarum + Pediococcus pentosaceus + Enterococcus faecium). Italian ryegrass was harvested at the heading stage and treated with these silage inoculants. Samples were collected over a 60-day ensiling period. Co-inoculation with L. plantarum and P. pentosaceus (T2) resulted in significantly higher CP compared to the control group co-inoculation exhibited with resulted in Lactobacillus plantarum and Pediococcus pentosaceus in the T2 treatment exhibited higher CP content of 106.35 g/kg dry matter (DM). The T3 treatment, which included heterofermentative bacterial strains such as Lactobacillus buchneri, exhibited an increase in acetic acid concentration (11.15 g/kg DM). In the T4 treatment group, which utilized a mixed culture of Lactobacillus acidophilus and Lactobacillus bulgaricus, the NH3-N/TN content was observed to be the lowest (20.52 g/kg DM). The T5 containing Enterococcus faecium had the highest RFV (123) after 60 days. Expanding upon these findings, the study underscores not only the beneficial effects of particular inoculant treatments on silage quality but also underscores the potential of customized inoculation strategies in maximizing nutrient retention and overall silage preservation.