• Title/Summary/Keyword: Complex Number

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On generic submanifolds of a complex projective space

  • Seong Baek Lee;Seung Gook Han;Nam Gil Kim;Seong Soo Ahn
    • Communications of the Korean Mathematical Society
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    • v.11 no.3
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    • pp.743-756
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    • 1996
  • The purpose of this paper is to compute the covariant derivative of a shape operator of a generic submanifold of a complex space form without using the Green-Stoke's theorem. In particular, we classify complete generic submanifolds of a complex number space $C^m$ with parallel mean curvature vector satisfying a certain condition.

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A Study on the Dissatisfaction Evaluation of Rental Apartment Residents and Recognition of Neighborhoods (영구임대아파트 거주민의 불만도와 인근주민의 인식에 대한 연구)

  • Kim, Min-Hee;Choi, Jung-Min
    • Proceeding of Spring/Autumn Annual Conference of KHA
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    • 2005.11a
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    • pp.355-358
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    • 2005
  • This study investigates both the dissatisfaction evaluation of residents in Kangseo Permanant Rental Housing(PRH) complex managed by SH corporation and their neighborhood's recognition on the PRH complex in terms of questionnaires divided by two groups. The result shows that the residents in PRH complex are especially dissatisfied with lining space and number of rooms, parking capacity, outmoded building, and incidence of crime.

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Adaptive SDF filter design using the Widrow-Hoff learning rule (신경회로망의 학습규칙을 이용한 SDF 적응 필터 설계)

  • 김홍만
    • Proceedings of the Optical Society of Korea Conference
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    • 1989.02a
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    • pp.103-106
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    • 1989
  • A method of adaptive formation of the synthetic discriminant function(SDF) both in image plane and spatial frequency plane by using the Widrow-Hoff learning rule is proposed. The proposed method uses minimum number of interconnections between neurons so it can reduce the time for learning the neural net. Also complex valued interconnection weights are introduced for the purposes of handling the phase objects or Fourier transformed spatial frequency objects which usually have complex values for the representation of not only amplitude but also phase information. Also methods of optical implementation for the complex valued interconnection weights are discussed.

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Effect of Root Media Formulation and Fertilizer Application on Potato Plug Seedling Growth and Field Performance

  • Kang, Bong-Kyoon;Kang, Young-Kil;Kang, Si-Yong;Park, Yang-Mun
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.46 no.2
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    • pp.125-129
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    • 2001
  • Eight vermiculite-based root media prepared with addition of complete fertilizer (2 g/L; N-$P_2$$O_5$-$K_2$O, 10-10-14) for potatoes (Solanum tuberosum L.) and a commercial root medium were evaluated in 2000 to develop the root media suitable for potato plug seedling production. The eight media consisted of various ratios of vermiculite, perlite, peatmoss, and compost. In addition, four rates (0, 1, 2, or 4 g/L) of the complex fertilizer for potato were added to a root medium (70% vermiculite, 10% perlite, 10% peat moss, and 10% compost by volume) to determine the optimum addition rate of the complex fertilizer for plug seedlings. Compost addition to the media increased plant height, the number of leaves per plant, and top and root fresh weight of 15-day old plug seedlings. The seedlings raised in root media containing compost produced significantly higher total tuber yield. Addition of the complex fertilizer to root media enhanced seedling growth and increased the number of tubers per plant and tuber yields. The results suggest that root media containing 50% vermiculite, 0 to 20% peat moss, 10% perlite, 20 to 40% compost, and 2 g/L complex fertilizer for potato appear suitable for potato plug seedling production.

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FT-Raman Studies on Ionic Interactions in ${\pi}$-Complexes of Poly(hexamethylenevinylene) with Silver Salts

  • Kim Jong-Hak;Min Byoung-Ryul;Won Jong-Ok;Kang Yong-Soo
    • Macromolecular Research
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    • v.14 no.2
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    • pp.199-204
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    • 2006
  • Remarkably high and stable separation performance for olefin/paraffin mixtures was previously reported by facilitated olefin transport through ${\pi}$-complex membranes consisting of silver ions dissolved in poly(hexamethylenevinylene) (PHMV). In this study, the ${\pi}$-complex formation of $AgBF_4,\;AgClO_4\;and\;AgCF_{3}SO_3$ with PHMV and their ionic interactions were investigated. FT-Raman spectroscopy showed that the C=C stretching bands of PHMV shifted to a lower frequency upon incorporation of silver salt, but the degree of peak shift depended on the counter-anions of salt due to different complexation strengths. The symmetric stretching modes of anions indicated the presence of only free ions up to [C=C]:[Ag]=1:1, demonstrating the unusually high solubility of silver salt in PHMV. Above the solubility limit, the ion pairs and higher-order ionic aggregates started to form. The coordination number of silver ion for C=C of PHMV was in the order $AgBF_4$ > $AgClO_4$ > $AgCF_{3}SO_3$, but became similar at [C=C]:[Ag]=1:1. The different coordination number was interpreted in terms of the different transient crosslinks of silver cations in the complex, which may be related to both the interaction strength of the polymer/silver ion and the bulkiness of the counteranion.

Prediction of Water Quality and Water Treatment in Saemankeum Lake 3. Effects of Environmental Pollutants on Propagation of Freshwater Microalgae, Cryptomonas ovata and Feeding Rate of Corbicula leana (새만금호의 수질예측과 그에 따른 대책 3. 환경오염이 담수산 미세조류, Cryptomonas ovata의 증식과 참재첩(Corbicula leana) 섭이율에 미치는 영향)

  • 최문술;정의영;신윤경
    • The Korean Journal of Malacology
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    • v.14 no.2
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    • pp.167-172
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    • 1998
  • As a preliminary study, effects of environmetal pollutants on propagation of freshwater microalgae, Cryptomonas ovata and feeding rate of Corbicula leana were investigated at 20${\pm}$1$^{\circ}C$, over 20 days after treatment of pollutants, glucose, complex fertilizer and NH4Cl. Number of C. ovata in control group was increased from 38${\times}$104 cell/ml to 1.910${\times}$104 cell/ml after 20 days cultivation in Sorokin-Krauss medium. Increments of cell number in experimental groups treated with glucose, complex fertilizer and NH4Cl were higher than that of control group. The higher propagation rate of C.ovata was observed when 30 mg/l of glucose treated, 120 mg/l of complex fertilizer treated, and 4 mg/l of NH4Cl treated, compared with other concentrations in each pollutant treated group. The feeding rates of large size group of C. leana which fed with a living organism, C. ovata in each experimental group were higher than small size group, and slightly reduced with the increase of pollutant concentrations. The feeding rates were not significantly different between any concentrations of the pollutant, and among experimental groups treated with glucose, complex fertilizer and NH4Cl.

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QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN BANACH SPACES: A FIXED POINT APPROACH

  • PARK, CHOONKIL;SEO, JEONG PIL
    • Korean Journal of Mathematics
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    • v.23 no.2
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    • pp.231-248
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    • 2015
  • In this paper, we solve the following quadratic $\rho$-functional inequalities ${\parallel}f(\frac{x+y+z}{2})+f(\frac{x-y-z}{2})+f(\frac{y-x-z}{2})+f(\frac{z-x-y}{2})-f(x)-x(y)-f(z){\parallel}\;(0.1)\\{\leq}{\parallel}{\rho}(f(x+y+z+)+f(x-y-z)+f(y-x-z)+f(z-x-y)-4f(x)-4f(y)-f(z)){\parallel}$ where $\rho$ is a fixed complex number with ${\left|\rho\right|}<\frac{1}{8}$, and ${\parallel}f(x+y+z)+f(x-y-z)+f(y-x-z)+f(z-x-y)-4f(x)-4f(y)-4f(z){\parallel}\;(0.2)\\{\leq}{\parallel}{\rho}(f(\frac{x+y+z}{2})+f(\frac{x-y-z}{2})+f(\frac{y-x-z}{2})+f(\frac{z-x-y}{2})-f(x)-f(y)-f(z)){\parallel}$ where $\rho$ is a fixed complex number with ${\left|\rho\right|}$ < 4. Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic $\rho$-functional inequalities (0.1) and (0.2) in complex Banach spaces.

A Simulation Method of Causal Maps: NUMBER (인과지도의 시뮬레이션 방법론: NUMBER)

  • 김동환
    • Korean System Dynamics Review
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    • v.1 no.2
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    • pp.91-111
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    • 2000
  • Causal maps or cognitive maps have been widely used to get insights for complex systems or decision makers. When insights come from the system behavior rather than its structure, we need simulation of causal maps and cognitive maps. In this paper, a method for directly converting causal maps and cognitive maps into stock-flow diagrams that can be simulated in computers in proposed. This method is called as NUMBER. NUMBER is an abbreviation for 'Normal Unit Modeling By Elementary Relationship'. In this paper, NUMBER is applied to a cognitive map of policy maker to show its usefulness.

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NUMBER SYSTEMS PERTAINING TO EUCLIDEAN RINGS OF IMAGINARY QUADRATIC INTEGERS

  • Sim, Hyo-Seob;Song, Hyun-Jong
    • East Asian mathematical journal
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    • v.31 no.3
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    • pp.357-362
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    • 2015
  • For a ring R of imaginary quadratic integers, using a concept of a unitary number system in place of the Motzkin's universal side divisor, we show that the following statements are equivalent: (1) R is Euclidean. (2) R has a unitary number system. (3) R is norm-Euclidean. Through an application of the above theorem we see that R admits binary or ternary number systems if and only if R is Euclidean.

Comparison of Distribution of Soil Microarthropoda in the Forests of Industrial and Non-industrial Complex Areas (공단지역과 비공단지역내의 삼림에 서식하는 토양미소절지동물 분포의 비교)

  • 조삼래
    • The Korean Journal of Ecology
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    • v.22 no.1
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    • pp.1-6
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    • 1999
  • The author studied the soil microarthropoda's fauna, vertical distribution, seasonal fluctuation, and the relationship between the number of soil microarthropoda and environmental factor(pH) in survey area. 3949 soil microarthropoda were collected in survey area. They included Arachnida(48.6%), Collembola(23.5%), Hymenoptera(l9.9%), and Isoptera, etc. Fresh length was the longest(1l3.6 mm) in broad-leaf forest on Mt. Chilgap which is non-industrial complex area, and the shortest(46.8 mm) in pine forest at Yochon industrial complex. The population density of soil microarthropoda was the highest in summer and the lowest in winter. The number of soil microarthropoda was higher in Mt. Keryong and Chilgap, non-industrial complex area, than Yochon and Daesan, industrial complex area. The number of soil microarthropoda increased from spring to summer and decreased from autumn to winter. Vertically, soil microarthropoda were more abundant in the second layer subsoil(0∼5 cm) in spring, in the first layer(5∼10 cm) in summer and autumn, and in the third layer(0∼15 cm) in winter. Diversity index was higher in non-industrial area(1.02) than industrial complex area(0.73). Biodiversity index was the highest in the second soil layer, in pine forest on Mt. Keryong(l.60) and the lowest in the third soil layer, in broad leaf-forest, at Daesan industrial complex(0.24).

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