• 제목/요약/키워드: Complex Number

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복소수 개념의 발달과 교육적 함의 (Development of the concept of complex number and it's educational implications)

  • 이동환
    • 한국수학사학회지
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    • 제25권3호
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    • pp.53-75
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    • 2012
  • 본 논문은 복소수 개념이 정당화되는 과정에서 실수와 허수 사이의 관계가 어떻게 변화했는지를 살펴보았다. 허수가 처음 등장한 16세기에 수학자들은 현재와 동일하게 허수를 계산할 수 있었지만 허수를 수학적 대상으로 인정하기까지는 200여년의 시간이 필요했다. 수학이 발달하면서 나타나는 새로운 문제 상황이 실수와 허수의 조화를 요구하였고, 그 결과 복소수의 개념이 점차 명확해졌다. 복소수 개념 발달의 역사는 실수와 허수의 대립이 해소되어 실수와 허수를 복소수로 포괄할 수 있는 관점을 찾아가는 과정이었다. 실수와 허수가 어떤 점에서 대립을 하였고, 수학자들은 이러한 대립에 어떻게 대처하였는가에 분석의 초점을 두고, 실수와 허수의 관계를 정립하는 과정에서 나타난 새로운 사고방식이나 관점을 확인하고 그 영향을 살펴본다. 그리고 이러한 분석결과가 보여주는 교육적 함의를 기술하였다.

溫山工團 周邊의 森林植生에 관한 調査 (Study on forest vegetation in the vicinity of onsan industrial complex)

  • Kim, Jong-Gab
    • The Korean Journal of Ecology
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    • 제15권3호
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    • pp.231-246
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    • 1992
  • In order to estimate effects of air pollution for pinus thunbergii forests arounding onsan industrial complex, structure of forest vegrtation was surveyed. In the survey of forest vegetation, pinus densiflora have been died or being withered, and importance value(I.V) of rhododendron mucromulatum and lespedeza spp. were low at the vicinity of industrial complex. Especially lespedeza maximowiczii and l. maritima were not entirely appeared at the vicinity of industrial complex. I.V. of quercus serrata, robinia pseudoacacia and alnus firma were preferably high at the vicinity of industrial complex, and those of smilax china, rubus crataegifolius and rhus trichocarpa were similar at every site and it could be guessed that those had a tolerance. Number of species had a difference over 10 species at the vicinity of industrial complex as compared with those of remote sites, and species diversity showed highly at the farther sites of industrial complex, and also at the low layer, number of species, species diversity and evennes were low at the vicinity of industrialcomplex and species weakened to air pollution were disappearing. It was possible that forest vegetation would be changed from pinus spp. to community of a. firma and r. pseudoacacia.

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Radix-4 Booth Recoding과 RB 연산을 이용한 새로운 복소수 승산 알고리듬 및 10-bit CMAC코어 설계 (A New Complex-Number Multiplication Algorithm using Radix-4 Booth Recoding and RB Arithmetic, and a 10-bit CMAC Core Design)

  • 김호하;신경욱
    • 전자공학회논문지C
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    • 제35C권9호
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    • pp.11-20
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    • 1998
  • 고속 복소수 연산장치는 채널등화, 동기신호 복원, 변조 및 복조 등 디지탈 통신 시스템의 기저대역 신호처리에 필수적인 기능블록이다. 본 논문에서는 redundant binary (RB) 연산과 radix-4 Booth recoding을 결합한 새로운 복소수 승산 알고리듬을 제안한다. 제안되는 복소수 승산 방법은 실수 승산기를 사용하는 기존의 방법과 비교하여 부분곱의 수를 반으로 감소시키며, 단순화된 병렬구조로 구현되므로 고속 동작 및 저전력 소모를 가능하게 한다. 제안된 알고리듬을 적용하여 10-bit operand를 갖는 prototype 복소수 승산-누적기(complex-number multiplier-accumulator ; CMAC) 코어를 0.8-㎛ N-Well CMOS 공정으로 설계, 제작하였다. 제작된 CMAC 칩은 18,000여개의 트랜지스터로 구성되며, 코어부분의 면적은 약 1.60 × 1.93 ㎟이다. 제작된 칩을 테스트 보드에 실장하여 특성을 평가한 결과, 전원전압 V/sub DD/=3.3-V에서 120-MHz의 속도로 동작함을 확인하였으며, 이때의 전력소모는 약 63-mW로 측정되었다.

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Thiocyanato ammine계 chromium complex salts에 있어 thiocyanato기의 수가 Rf치에 미치는 영향 (The effect on the Rf value by the number of thiocyanate radical in various thiocyanate ammine chromium complex salts)

  • 최종인
    • 약학회지
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    • 제10권4호
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    • pp.1-6
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    • 1966
  • Various thiocyanatoammine chromium complex salts are prepared by the known methods and the Rf. value of these complex salts are determined by four developers. These four developers were used in the paper chromatographical work of cobalt complex salts by Yamamoto in 1954. It was also found that the developer A (Ch$_{3}$OH, acetone, NH$_{4}$OH) gave best results of these four developers and the decending development gave better results than ascending development in this experiment. In the case of decending development using developer A, it is found that the Rf. value is increased with the number of thiocyanate radical. The reason of this curious results can be explained that the thiocyanate radical in the complex ion is more active for the organic solvent than ammine radical. Shifting of electrons to the central metal and the charge of the complex ion can also effect ot the Rf. value but much questions are remained for the explanation of the above curious phenomenon. Separation of mixed sample is also studied for various mixture of the above complex salts. In the case of the mixture of hexammine and diammine complex salt, the clear separation is possible but in almost all other mixed sample, the results are not clear. Therefore it can be said that the results of this work can be used in the qualitative analysis of the individual complex salts, except the mixed sample of hexammine and diammine complex salts.

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노이즈맵핑을 활용한 도로변 아파트단지의 세대외부소음 및 옥외지면소음 특성 분석 (Analysis of Building Facade Noise and Ground Noise in a Roadside Apartment Complex through Noise Mapping)

  • 신혜경;김명준
    • 한국소음진동공학회논문집
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    • 제25권4호
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    • pp.275-283
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    • 2015
  • The aim of this study is to estimate the noise exposure of roadside apartment complex according to the characteristics of apartment complex. The facade noise level of residential buildings and the ground noise level inside apartment complexes were predicted and analyzed using noise mapping based on a computerized noise model. In addition, the correlation analysis between these noise levels and the characteristics of apartment complex such as traffic volume, building coverage, the number of adjacent roads, etc. was done in a total of 21 apartment complexes. The results showed that building facade noise level and ground noise level were positively correlated with traffic volume (correlation coefficient, r=0.616~0.623) and the number of adjacent roads (r=0.340~0.496). On the other hand, they were negatively correlated with building coverage (r=-0.413~-0.477) and complex area per the number of roads (r=-0.478~-0.615).

위계적 모형을 이용한 주거단지특성이 주택가격에 미치는 영향 (The Influences of Apartment Complex Characteristics on Housing Price by Hierarchical Linear Model)

  • 홍경구
    • 한국주거학회논문집
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    • 제25권6호
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    • pp.39-47
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    • 2014
  • The background of this study is to examine the structure of housing price of which characteristics are not equal but hierarchical in the apartment complexes. So, the purpose of this study is to analyze the influences of apartment complex characteristics on the housing price within the same regional boundary by HLM. The data used as dependent variables were the market prices of 938 units from 29 apartment complexes by stratified sampling. The 2nd level independent variables is the Housing complex characteristics which are composed of the housing complex & locational variables and the 1st level independent variables are the unit characteristics. The results are as follows. First, the first model shows that the 2nd level variables explains 68% of the housing prices. Second, the influential variables of the 1st level unit variable are 'dwelling exclusive area', 'floor of dwelling' and 'direction of dwelling'. Third, the influential variables of the housing complex variables in the 2nd level are 'lot area', 'the building-to-land ratio', 'the number of unit', 'the number of parking lots per unit', 'Green space area' and 'open space area per unit'. The last, the influential variables of the housing locational variables in the 2nd level are 'distance to subway and park' and the number of school and park within a radius of 1km.

서울시 1,000세대 이상 대규모 아파트단지의 아파트가격 결정요인에 관한 연구 (Determinant Factors for the Apartment Unit Prices of Large Scale Apartment Complexes over 1,000 Households in Seoul Metropolitan Area)

  • 김광영;안정근
    • 한국주거학회논문집
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    • 제21권6호
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    • pp.81-90
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    • 2010
  • The existing most studies on the apartment sales prices have been limited to relatively small size apartment complexes and have not categorized the apartment complexes based on the number of households. Some of them uses the apartment-related indices such as regional value estimates, sales unit price, and view right values. In the case of Seoul Metropolitan Area, the size of apartment complex has been growing to the level of large complex over more than 1,000 households through new town development, redevelopment and reconstruction. People prefers to choose a large scale complex instead of small complex based on their perception that a large scale apartment complex provides more conveniences in living. The result of this analysis revealed that the variables chosen as important determinants of the hedonic price model for large scale apartment complexes were square meters of apartment unit, rent/price ratio, number of bays, distance to the nearest subway station, and heating system method. This means that the sales price of apartment unit will be higher as the square meters of apartment unit increase, as the rent/price ratio decreases, as the distance to the nearest subway station increases, and as the number of bays increase.

Quantification of the ichthyotoxic raphidophyte Chattonella marina complex by applying a droplet digital PCR

  • Juhee, Min;Kwang Young, Kim
    • ALGAE
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    • 제37권4호
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    • pp.281-291
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    • 2022
  • Quantifying the abundance of Chattonella species is necessary to effectively manage the threats from ichthyotoxic raphidophytes, which can cause large-scale mortality of aquacultured fish in temperate waters. The identification and cell counting of Chattonella species have been conducted primarily on living cells without fixation by light microscopy because routine fixatives do not retain their morphological features. Species belonging to the Chattonella marina complex, including C. marina and C. marina var. ovata, had high genetic similarities and the lack of clear morphological delimitations between the species. To estimate the abundance of C. marina complex in marine plankton samples, we developed a protocol based on the droplet digital polymerase chain reaction (ddPCR) assay, with C. marina complex-specific primers targeting the internal transcribed spacer (ITS) region of the rDNA. Cell abundance of the C. marina complex can be determined using the ITS copy number per cell, ranging from 25 ± 1 for C. marina to 112 ± 7 for C. marina var. ovata. There were no significant differences in ITS copies estimated by the ddPCR assay between environmental DNA samples from various localities spiked with the same number of cells of culture strains. This approach can be employed to improve the monitoring efficiency of various marine protists and to support the implementation of management for harmful algal blooms, which are difficult to analyze using microscopy alone.

복소극점을 갖는 선형시불변 단일입출력 시스템의 영점과 계단응답 특성 (Zeros and Step Response Characteristics in LTI SISO Systems with Complex Poles)

  • 이상용
    • 제어로봇시스템학회논문지
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    • 제16권4호
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    • pp.313-318
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    • 2010
  • This paper deals with the relationship between zeros and step response of the second and third order LTI (Linear Time Invariant) SISO (Single-Input and Single-Output) systems with complex poles. Although it has been known that the maximum number of local extrema is less than the number of zeros in the system with only real poles[8], some cases with complex poles are shown in this paper to have many local extrema. This paper proposes monotone nondecreasing conditions and describes the relationship between the transient response and the number of local extrema in step response with each region of zeros.

Effect of Complex Fertilizer on Yield and Yield Components of Rapeseed

  • Shin, Dong-Young;Kwon, Byung-Sun;Lim, June-Taeg;Jung, Dong-Soo;Hyun, Kyu-Hwan;Lim, Jung-Mook;Seo, Young-Nam
    • 한국자원식물학회지
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    • 제19권6호
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    • pp.697-699
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    • 2006
  • To find out the best complex fertilizer for high yielding of rapeseed crop, experiment was conducted on complex fertilizers at the experiment field in upland of rapeseed in Mokpo Experiment Station, Nat'l Institute of Corp Science, RDA, Korea. Experiment was laid out in randomized complete block (RCBD) design. The effects of complex fertilizer (22-22-11) on the number of branches, pod length, percentage of seed set and seed yield were highest but on the plant height, ear length, and number of pods per ear were negligible. On th basis of the results reported above, for getting higher yield of rapeseed crop, among the tested fertilizers complex fertilizer (22-22-11) gave the superior performance and is recommended for application.