• Title/Summary/Keyword: Complex Number

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Identification of a Copy Number Variation on Chromosome 20q13.12 Associated with Osteoporotic Fractures in the Korean Population

  • Park, Tae-Joon;Hwang, Mi Yeong;Moon, Sanghoon;Hwang, Joo-Yeon;Go, Min Jin;Kim, Bong-Jo
    • Genomics & Informatics
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    • v.14 no.4
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    • pp.216-221
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    • 2016
  • Osteoporotic fractures (OFs) are critical hard outcomes of osteoporosis and are characterized by decreased bone strength induced by low bone density and microarchitectural deterioration in bone tissue. Most OFs cause acute pain, hospitalization, immobilization, and slow recovery in patients and are associated with increased mortality. A variety of genetic studies have suggested associations of genetic variants with the risk of OF. Genome-wide association studies have reported various single-nucleotide polymorphisms and copy number variations (CNVs) in European and Asian populations. To identify CNV regions associated with OF risk, we conducted a genome-wide CNV study in a Korean population. We performed logistic regression analyses in 1,537 Korean subjects (299 OF cases and 1,238 healthy controls) and identified a total of 8 CNV regions significantly associated with OF (p < 0.05). Then, one CNV region located on chromosome 20q13.12 was selected for experimental validation. The selected CNV region was experimentally validated by quantitative polymerase chain reaction. The CNV region of chromosome 20q13.12 is positioned upstream of a family of long non-coding RNAs, LINC01260. Our findings could provide new information on the genetic factors associated with the risk of OF.

On the Origin of Oscillatory Instabilities in Diffusion Flames (확산화염의 진동불안성의 기원에 대해서)

  • Kim, Jong-Soo
    • Journal of the Korean Society of Combustion
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    • v.10 no.3
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    • pp.25-33
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    • 2005
  • Fast-time instability is investigated for diffusion flames with Lewis numbers greater than unity by employing the numerical technique called the Evans function method. Since the time and length scales are those of the inner reactive-diffusive layer, the problem is equivalent to the instability problem for the $Li\tilde{n}\acute{a}n#s$ diffusion flame regime. The instability is primarily oscillatory, as seen from complex solution branches and can emerge prior to reaching the upper turning point of the S-curve, known as the $Li\tilde{n}\acute{a}n#s$ extinction condition. Depending on the Lewis number, the instability characteristics is found to be somewhat different. Below the critical Lewis number, $L_C$, the instability possesses primarily a pulsating nature in that the two real solution branches, existing for small wave numbers, merges at a finite wave number, at which a pair of complex conjugate solution branches bifurcate. For Lewis numbers greater than $L_C$, the solution branch for small reactant leakage is found to be purely complex with the maximum growth rate found at a finite wave number, thereby exhibiting a traveling nature. As the reactant leakage parameter is further increased, the instability characteristics turns into a pulsating type, similar to that for L < $L_C$.

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A Study on the Behaviors of Complex System Revealed in the Sizes of Public Libraries in Korea (우리나라 공공도서관의 규모에 나타나는 복잡계 현상에 관한 연구)

  • Lee, Soo-Sang
    • Journal of Korean Library and Information Science Society
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    • v.44 no.4
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    • pp.399-419
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    • 2013
  • This paper conducted the empirical analysis of the behaviors revealed in the eight size distributions of the public libraries in Korea. As a result, the behaviors of complex system appeared in all eight size factors. This means that the sizes of public libraries in Korea were highly polarized. Especially, the zipf's law were found in the size factors such as gross area, number of staffs, volume of books, total budget. And the highly uneven distributions were occurred in the size factors such as membership, number of users, number of borrowers, number of borrowed books. This research outcomes show that a new policy of public libraries is needed to resolve the polarization revealed in the sizes of public libraries in Korea.

LEVEL-m SCALED CIRCULANT FACTOR MATRICES OVER THE COMPLEX NUMBER FIELD AND THE QUATERNION DIVISION ALGEBRA

  • Jiang, Zhao-Lin;Liu, San-Yang
    • Journal of applied mathematics & informatics
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    • v.14 no.1_2
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    • pp.81-96
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    • 2004
  • The level-m scaled circulant factor matrix over the complex number field is introduced. Its diagonalization and spectral decomposition and representation are discussed. An explicit formula for the entries of the inverse of a level-m scaled circulant factor matrix is presented. Finally, an algorithm for finding the inverse of such matrices over the quaternion division algebra is given.

A Study on State Residents' Use at Three Rest Areas and Three Playgrounds in an Apartment Complex (아파트 단지내 휴게시설 및 어린이 놀이터 이용실태에 관한 연구)

  • 최재순;이지숙
    • Journal of the Korean housing association
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    • v.10 no.2
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    • pp.155-163
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    • 1999
  • The purpose of this study was to investigate the residents' actual usage at three rest areas and three playgrounds in an apartment complex. This study was conducted with field study in J apartment complex in Incheon from August 14 to August 30, 1998. According to the results of the study, there were more users in playgrounds than in the rest areas. The rest area near the place for the elderly in the complex was used mainly by the elderly females. The playground located near the main entrance of the complex was frequently used because it is the biggest one in size and has an enough space for playing. Furthermore, the condition of shading areas by trees and buildings influenced the rate of use of the residents. Therefore, to increase the usage rate of rest areas and playgrounds, they should be located near to the places which have community amenities and should have accessible entrance for residents. Landscape design of the apartment complex should be done with the plot plan of the complex simultaneously. Moreover, the number and the kinds of trees to be planted in the apartment complex should be considered carefully.

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On Curvature-Adapted and Proper Complex Equifocal Sub-manifolds

  • Koike, Naoyuki
    • Kyungpook Mathematical Journal
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    • v.50 no.4
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    • pp.509-536
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    • 2010
  • In this paper, we investigate curvature-adapted and proper complex equifocal submanifolds in a symmetric space of non-compact type. The class of these submanifolds contains principal orbits of Hermann type actions as homogeneous examples and is included by that of curvature-adapted and isoparametric submanifolds with flat section. First we introduce the notion of a focal point of non-Euclidean type on the ideal boundary for a submanifold in a Hadamard manifold and give the equivalent condition for a curvature-adapted and complex equifocal submanifold to be proper complex equifocal in terms of this notion. Next we show that the complex Coxeter group associated with a curvature-adapted and proper complex equifocal submanifold is the same type group as one associated with a principal orbit of a Hermann type action and evaluate from above the number of distinct principal curvatures of the submanifold.

Analysis of interior features of indoor community facilities in Apartment Complex (공동주택 단지 내 실내 커뮤니티시설의 인테리어 특징 분석)

  • Choi, Hye-Jin;Shin, Kyung-Joo
    • Korean Institute of Interior Design Journal
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    • v.17 no.5
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    • pp.80-90
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    • 2008
  • This study analyzes interior features of indoor community facilities, focused on apartment complexes in capital area selected by 'Award of best living apartment' during $2000{\sim}2007$. First we analyze community facilities' concept, present standards of installment, present condition, then the size of each complex compared with legal standards. Also, we analyze interior features(spacial layout, furniture and furnishings, interior finishing materials, interior color), too. Research methods included both data survey and site visiting inquiry. Data survey method analyzes size of each complex using community facilities' floor plans, and site visiting inquiry analyzes type and feature of community facilities. Survey target was total 11 complexes, 7 in Seoul, 4 in Gyeonggi-do. The result is as follows. 1) It is needed to improve legal standards of installment, and to provide space with flexibility and changeability in order to allow alternation of usage purpose by resident's claim. 2) To determine size of community facilities, we must planned not only by the number of households, but by legal standards of supply according to the number of households, the rate of net area, and the recommended size per person. 3) The area of community facilities in apartment complex that residents use doesn't considered user's convenience. So it us needed to add each facility's recommendation in response to user's needs.

대수체계의 발견에 관한 수학사적 고제

  • 한재영
    • Journal for History of Mathematics
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    • v.15 no.3
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    • pp.17-24
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    • 2002
  • It will be described the discovery of fundamental algebras such as complex numbers and the quaternions. Cardano(1539) was the first to introduce special types of complex numbers such as 5$\pm$$\sqrt{-15}$. Girald called the number a$\pm$$\sqrt{-b}$ solutions impossible. The term imaginary numbers was introduced by Descartes(1629) in “Discours la methode, La geometrie.” Euler knew the geometrical representation of complex numbers by points in a plane. Geometrical definitions of the addition and multiplication of complex numbers conceiving as directed line segments in a plane were given by Gauss in 1831. The expression “complex numbers” seems to be Gauss. Hamilton(1843) defined the complex numbers as paire of real numbers subject to conventional rules of addition and multiplication. Cauchy(1874) interpreted the complex numbers as residue classes of polynomials in R[x] modulo $x^2$+1. Sophus Lie(1880) introduced commutators [a, b] by the way expressing infinitesimal transformation as differential operations. In this paper, it will be studied general quaternion algebras to finding of algebraic structure in Algebras.

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A SPECTRALLY ARBITRARY COMPLEX SIGN PATTERN

  • Liu, Sujuan;Lei, Yingjie;Gao, Yubin
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.209-216
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    • 2010
  • A spectrally arbitrary complex sign pattern A is a complex sign pattern of order n such that for every monic nth degree polynomial f(x) with coefficients from $\mathbb{C}$, there is a matrix in the qualitative class of A having the characteristic polynomial f(x). In this paper, we show a necessary condition for a spectrally arbitrary complex sign pattern and introduce a minimal spectrally arbitrary complex sign pattern $A_n$ all of whose superpatterns are also spectrally arbitrary for $n\;{\geq}\;2$. Furthermore, we study the minimum number of nonzero parts in a spectrally arbitrary complex sign pattern.

An Analysis of Complex for a Parking Lot Expansion (주차장 확대를 위한 공동주택 단지특성 분석)

  • Ha, Na;Song, Nak-Hyun;Yoon, Ho-Bin;Lee, Chan-Sik
    • Proceedings of the Korean Institute Of Construction Engineering and Management
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    • 2007.11a
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    • pp.1039-1042
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    • 2007
  • The number of vehicle has been increased due to growth of economy. Consequently, the needs for parking area has been increasing. there is a serious problem in aged-apartments. It result from observing a parking lot law at that times. That is the reason why residents demand parking lot expansion. Parking lot addition is being studied on a lots different standpoint to solve the present parking lot condition. Parking lot expansion is limited by housing complex characteristics. This study analyzed the housing complex characteristics of aged-apartment. It is analyzed that the number of house holders, distance between buildings, and level of site for finding housing complex characteristics. The result are as follows. the complex lower than 300 households is about 35% in the Number of households. The buildings which has a moving distance from 41m to 50 is nearly 23%. Them the 멕스둣 house located on the flat is 82%. This study will become a reference data for the parking lot expansion.

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