• Title/Summary/Keyword: Identity Stability

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FOUNDATIONS OF THE COLORED JONES POLYNOMIAL OF SINGULAR KNOTS

  • Elhamdadi, Mohamed;Hajij, Mustafa
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.3
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    • pp.937-956
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    • 2018
  • This article gives the foundations of the colored Jones polynomial for singular knots. We extend Masbum and Vogel's algorithm [26] to compute the colored Jones polynomial for any singular knot. We also introduce the tail of the colored Jones polynomial of singular knots and use its stability properties to prove a false theta function identity that goes back to Ramanujan.

ALMOST QUADRATIC LIE *-DERIVATIONS ON CONVEX MODULAR *-ALGEBRAS

  • Ick-Soon Chang;Hark-Mahn Kim
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.4
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    • pp.887-902
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    • 2023
  • In this article, we investigate an approximate quadratic Lie *-derivation of a quadratic functional equation f(ax + by) + abf(x - y) = (a + b)(af(x) + bf(y)), where ab ≠ 0, a, b ∈ ℕ, associated with the identity f([x, y]) = [f(x), y2] + [x2, f(y)] on a 𝜌-complete convex modular *-algebra χ𝜌 by using ∆2-condition via convex modular 𝜌.

ON STABILITY OF EINSTEIN WARPED PRODUCT MANIFOLDS

  • Pyo, Yong-Soo;Kim, Hyun-Woong;Park, Joon-Sik
    • Honam Mathematical Journal
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    • v.32 no.1
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    • pp.167-176
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    • 2010
  • Let (B, $\check{g}$) and (N, $\hat{g}$) be Einstein manifolds. Then, we get a complete (necessary and sufficient) condition for the warped product manifold $B\;{\times}_f\;N\;:=\;(B\;{\times}\;N,\;\check{g}\;+\;f{\hat{g}}$) to be Einstein, and obtain a complete condition for the Einstein warped product manifold $B\;{\times}_f\;N$ to be weakly stable. Moreover, we get a complete condition for the map i : ($B,\;\check{g})\;{\times}\;(N,\;\hat{g})\;{\rightarrow}\;B\;{\times}_f\;N$, which is the identity map as a map, to be harmonic. Under the assumption that i is harmonic, we obtain a complete condition for $B\;{\times}_f\;N$ to be Einstein.

The Aesthetics of the Resurrection of Ecological Imagination: Marilynne Robinson's Housekeeping (생태학적 상상력의 소생의 미학 -메릴린 로빈슨의 『하우스키핑』)

  • Lee, Chung-Hee
    • Journal of English Language & Literature
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    • v.57 no.1
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    • pp.73-105
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    • 2011
  • The purpose of this paper is to contend the importance of resurrection of fluid identity and ecological imagination for making the habitable biosphere in Marilynne Robinson's Housekeeping. Ruth as a narrator suggests the future-oriented vision that the environment and nature(mother) can be resurrected, crossing Fingerbone bridge of the boundary line of society/nature as a faithful follower of her aunt Sylvie and becoming the existence with a transparent voice despite of her absence. This novel is to rewrite the American pastoral. Based on the patriarchical way despite of the absence of Edmund Foster, Sylvia's conventional housekeeping is to divide between inside and outside of the house. Nevertheless, Sylvia's relentless efforts to keep her house intact turns out to be fragile. Contrasting with Sylvia, Sylvie's housekeeping is to recognize the continuity of inside and outside. She willingly accepts the reconciliation of the self, the nature and the society. After Ruth and Lucille's staying at night in the lake, they are diverged into going their own way. Ruth accepts Sylvie as a substitute mother. Lucille leaves the house voluntarily and go to her Home Economics teacher, Miss Royce, pursuing the ideal mother of symbolic society. Sylvie and Ruth has the more intimate bond, with their trip to the deserted house in the valley. Ruth meditates on the non-solidity of house and the resurrection of her family. Leaving their house to escape from the town people's legal enforcement, Sylvie and Ruth become transients. Although their history is completed by the drown-death publicly, they always want to visit Lucille's well kept house in Fingerbone. Therefore the method for making Ruth and Sylvie as the existences of ecological imagination return to the real world is to accept the reconciliation of nature and society. This novel is not limited as the binary opposition of vagrance/stability and transience/durability. The significant element of fluid identity can be composed of the interactions with transience and stability.

Human Iris Recognition System using Wavelet Transform and LVQ (웨이브렛 변환과 LVQ를 이용한 홍채인식 시스템)

  • Lee, Gwan-Yong;Im, Sin-Yeong;Jo, Seong-Won
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.7
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    • pp.389-398
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    • 2000
  • The popular methods to check the identity of individuals include passwords and ID cards. These conventional method for user identification and authentication are not altogether reliable because they can be stolen and forgotten. As an alternative of the existing methods, biometric technology has been paid much attention for the last few decades. In this paper, we propose an efficient system for recognizing the identity of a living person by analyzing iris patterns which have a high level of stability and distinctiveness than other biometric measurements. The proposed system is based on wavelet transform and a competitive neural network with the improved mechanisms. After preprocessing the iris data acquired through a CCD camera, feature vectors are extracted by using Haar wavelet transform. LVQ(Learning Vector Quantization) is exploited to classify these feature vectors. We improve the overall performance of the proposed system by optimizing the size of feature vectors and by introducing an efficient initialization of the weight vectors and a new method for determining the winner in order to increase the recognition accuracy of LVQ. From the experiments, we confirmed that the proposed system has a great potential of being applied to real applications in an efficient and effective way.

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Study on Exterior Color of Apartments in Seoul for the Color Environment (색채 환경을 고려한 서울시 아파트 외관 색채 계획에 관한 연구)

  • Yi, Young-Ran;Chu, Beom
    • Korean Institute of Interior Design Journal
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    • v.25 no.2
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    • pp.143-150
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    • 2016
  • Color plan that contains corporate color of Seoul apartment has a great influence on city environment, considering high-rise vertical dispersion and extent. Therefore, it is necessary to view color plan from an integrative viewpoint. Here, this research aimed at deriving guideline factors of esthetic color plan based on city identity, by recognizing the importance of apartment color and color plan characteristic of recently built brand apartments. Exterior color plan characteristic of Seoul brand apartments seen in this research, first, most of dominance colors were in same color similar tone with warm color in bright and warm image, as the psychological function, accessory colors appeared in similar tone of similar color harmonious with the dominance color. Also, accent color was highlighted with its identity through cooperative color. Second, emotional effect diminished size and weight of high-rise apartment. The upper levels showed clear and clean image, middle to lower level showed stability and comfortable image, on the whole, refined and urbane image that aim for natural and modern image. Therefore, apartment color plan requires, first, in respect of dominance color, unity is required proper for urban image by preparing color permission limitation standard. Second, dominance color and accessory color require historicity and differentiation in sociality that urban identity gets. Third, high-rise upper level cooperative color accent color requires compatibility with urban landscape. Lastly, guideline along with rate is required for color, tone, and pattern, etc. by extent contrast. Here, apartment color plan requires consistent research as urban environment color, also, base study should be accelerated as a part of competitive city branding.

Biological Characterization of the Omp1-like Protein from Actinobacillus actinomycetemcomitans

  • Ha, Jung-Hye;Jeong, Mi-Suk;Jo, Wol-Soon;Jeong, Min-Ho;Jang, Se-Bok
    • Bulletin of the Korean Chemical Society
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    • v.31 no.2
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    • pp.275-280
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    • 2010
  • Actinobacillus actinomycetemcomitans is a gram-negative, nonmotile coccobacillus bacterium that is associated with several human diseases, including endocarditis, meningitis, osteomyelitis, subcutaneous abscesses and periodontal diseases. A full-length Omp1-like protein gene from A. actinomycetemcomitans was cloned into a pQE30 vector and overexpressed in Escherichia coli BL21(DE3) cells. The protein revealed sequence homologies to Seventeen kilodalton proteins (Skp) from Pasteurella multocida and E. coli that have been characterized as periplasmic chaperones. This soluble Omp1-like protein was successfully purified to homogeneity for further folding and functional studies. The purity, identity, and conformation of the protein were determined using sodium dodecyl sulfate polyacrylamide gel electrophoresis, matrix-assisted laser desorption ionization mass spectrometry, circular dichroism, fluorescence spectroscopic, and differential scanning calorimetric studies. We showed that the protein formed an oligomer larger than a tetramer. We found, further, that it is comprised of mostly $\alpha$-helices and boasts high thermal stability.

Effects of Virtual Reality Program on Standing Balance in Chronic Stroke Patients (가상현실 프로그램이 만성 뇌졸중 환자의 선자세 균형에 미치는 영향)

  • Kim, Joong-Hwi;Kim, Chung-Sun
    • The Journal of Korean Physical Therapy
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    • v.17 no.3
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    • pp.351-367
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    • 2005
  • The purpose of this study was to identity effects of virtual reality(VR) program related to standing postural control on balance, gait and brain activation patterns in chronic hemiplegic stroke patients. Subjects were assigned randomly to either VR group (n=12) or the control group (n=12) when the study began. Both groups received conventional physical therapy for 2 to 3 times per week. In addition to conventional physical therapies, VR group trained 3 types of virtual reality programs using IREX for standing postural control during 4 weeks (4 times/week, 30 minutes/time). Subjects were assessed for static and dynamic balance parameters using BPM, functional balance using Berg Balance Scale related to movement of paretic lower limb before and after 4 weeks of virtual reality training. The results of this study were as follows. 1. Following VR training, VR group demonstrated the marked improvement on dynamic mean balance, anteroposterior limits of stability (AP angle) and mediolateral limits of stability (ML angle). 2. Following VR training, both groups scored higher on Berg Balance Scale. However, a comparison of mean change revealed differences between groups. In conclusion, these data suggest that the postural control training using VR programs improve dynamic and functional balance performance in chronic hemiplegic stroke patients.

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Evaluation of Cytotoxicity to Rat Platelets by Menadione-Glutathione Conjugate and its Stability in Biological Assay System (Menadione의 대사체인 Menadione-Glutathione Conjugate(MEN-SG)가 흰쥐 혈소판에 미치는 세포독성의 평가 및 MEN-SG의 안정성에 관한 연구)

  • Seo, Dong-Chul;Chung, Sun-Hwa;Lee, Joo-Young;Kim, Mee-Jeong;Chung, Jin-Ho
    • Toxicological Research
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    • v.11 no.2
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    • pp.295-302
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    • 1995
  • Menadione-ghitathione conjugate (MEN-SG), a metabolite of menadione, is known to be a redoxcycler in rat hepatocyte subcellular fraction. Therefore, it was assumed that MEN-SG could exert cytotoxlclty to ral platelets, another target tissue of menadione. We first synthesized MEN-SG, the identity of which was verified by mass, $^1{H}$-NMR and UV-visible spectra. In addition, the stability of MEN-SG was investigated in biological assay system. MEN-SG was degraded in a time-dependent manner in DMSO which had been used as a vehicle and thus, tris-HCl buffer was used as a vehicle of MEN-SG despite the low solubility in it. Perchloric acid as well as platelets itself did not affect the stability of MEN-SG. Our next attempt was the evaluation of cytotoxicity of MEN-SG in rat platelets. MEN-SG did not induce cytotoxicity to rat platelets measured by two different methods, LDH release and turbidity changes. The extents of oxygen consumption by MEN-SG in intact platelets were significantly lower than those by menadione, though it had been observed that oxygen consumptions by menadione and MENSG were similar in subcellular fractioas of platelets. These results suggest that MEN-SG is not toxic to rat platelets despite its redox cycling capacity and glutathione conjugation reaction of menadione could be regarded as a detoxification process.

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Development of the Character Constancy Concept: Self and Others (아동의 항상성개념 발달에 관한 연구 - 자신 및 타인의 개인특성을 중심으로 -)

  • Kim, Chang Ha
    • Korean Journal of Child Studies
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    • v.8 no.1
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    • pp.15-29
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    • 1987
  • The purpose of the present research was to investigate (I) the acquisition of character constancy of self and others as a function of age; (2) the pattern of acquisition of character constancy, and (3) the relationships between character constancy and conservation of number and mass. The subjects of this study were 160 children, 20 boys and 20 girls at each grade level, kindergarter through grade 3. The Character Constancy Tasks devised bi Rotenberg (1982) and conservation task of number and mass were administered to each child. Chi square, Guttman Scale analysis and Pearson's Correlation were used for the statistical analysis of data. The findings showed that there was increase with age in character constancy of others and of sell in that there was increase with age in children's belief that the characteristics of another person are stable across time and consistent despite changes in a person's appearance. Character constancy of others and of self were acquired in the developmental stages of identity, stability, and consistency. Character constancy of others and self correlated with the conservation of number and mass.

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