• 제목/요약/키워드: Complex Number

검색결과 2,994건 처리시간 0.026초

On generic submanifolds of a complex projective space

  • Seong Baek Lee;Seung Gook Han;Nam Gil Kim;Seong Soo Ahn
    • 대한수학회논문집
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    • 제11권3호
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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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영구임대아파트 거주민의 불만도와 인근주민의 인식에 대한 연구 (A Study on the Dissatisfaction Evaluation of Rental Apartment Residents and Recognition of Neighborhoods)

  • 김민희;최정민
    • 한국주거학회:학술대회논문집
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    • 한국주거학회 2005년도 추계학술대회 논문집
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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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신경회로망의 학습규칙을 이용한 SDF 적응 필터 설계 (Adaptive SDF filter design using the Widrow-Hoff learning rule)

  • 김홍만
    • 한국광학회:학술대회논문집
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    • 한국광학회 1989년도 제4회 파동 및 레이저 학술발표회 4th Conference on Waves and lasers 논문집 - 한국광학회
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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
    • 한국작물학회지
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    • 제46권2호
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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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    • 제14권2호
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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.

새만금호의 수질예측과 그에 따른 대책 3. 환경오염이 담수산 미세조류, Cryptomonas ovata의 증식과 참재첩(Corbicula leana) 섭이율에 미치는 영향 (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)

  • 최문술;정의영;신윤경
    • 한국패류학회지
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    • 제14권2호
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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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    • 제23권2호
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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.

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

  • 김동환
    • 한국시스템다이내믹스연구
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    • 제1권2호
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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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    • 제31권3호
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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.

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

  • 조삼래
    • The Korean Journal of Ecology
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    • 제22권1호
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    • pp.1-6
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    • 1999
  • 공단지역과 비공단지역의 삼림에서 토양미소절지동물의 개체군 밀도, 수직 및 계절적 분포 그리고 토양산도와의 관계를 비교 조사하였다. 조사지역 토양에서 관찰·분리된 토양미소절지동물은 총 3950개체 이었으며, 그 중 제일 많은 개체수는 거미강으로 총 1,918개체로 전체 의 약 48.5%를 차지하였다. 체장이 가장 길은 곳은 칠갑산의 낙엽수림이며(113.6 mm), 가장 짧은 곳은 대산지역의 낙엽활엽수림지역이었다(46.8 mm). 토양소동물의 개체수는 봄에서 여름에 걸쳐 증가하였고, 가을과 겨울로 갈수록 감소하는 추세를 보였다. 계절에 따른 수직분포상황은 전체적으로 봄에는 중층부에서 많이 나타났고 여름과 가을은 상층부에서 그리고 겨울은 하층부에 많이 분포하는 것으로 나타났다. 종다양도지수는 비공단지역(1.02)이 공단지역(0.73)보다 높았고 가장 높은 곳은 계룡산 침엽수림의 중층(5∼10 cm)에서 1.60이었고, 가장 낮은 곳은 대산 낙엽수림의 심층(10∼15 cm)에서 0.24로 나타났다.

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