피보나치수열과 황금비에 관한 고찰

박봉구 호남대학교 산업기술연구소 2012 녹색산업연구 Vol.18 No.2

황금비(Golden Ratio)는 자연이나 예술작품의 형태미를 규정하고 있는 각 종 비례 중에서 가장 이상적인 비율로 알려지고 있다. 황금비가 기하학의 명제로 처음 제기된 것은 기원전 300년경에 유클리드(Euclid, 330?-275?)의 원론 제Ⅳ권에서이다. 피보나치수열(Fibonacci Sequence)은 이웃하는 항끼리의 비가 황금비에 수렴한다. 본 논문에서는 피보나치수열과 황금비의 관계를 살펴보고, 피보나치수열을 이루는 자연현상과 황금비의 응용을 조사・분석하였다. 주요어: 피보나치수, 피보나치수열, 황금비, 황금분할, 황금직사각형 In this paper we survey the relation between Fibonacci Sequence and Golden Ratio, and show that Fibonacci Sequence and Golden Ratio exist in plants, animals, works of art and human bodies. Especially We investigate that human beings have been applying Fibonacci Sequence and Golden Ratio to architecture, works of art and articles of life from ancient times. Key words : Fibonacci Number, Fibonacci Sequence, Golden Ratio, Golden Section, Golden Rectangle.

靑少年의 攻擊性 診斷과 그 治療方案에 관한 硏究

具奉洙,李重昔 淸州敎育大學校 1978 論文集 Vol.15 No.-

初等敎員 養成制度의 問題

具奉洙 淸州敎育大學校 1977 論文集 Vol.14 No.-

Teacher education is the key to all educational development since, without well qualified teachers, little progress in education can be made. Still more, in primary education, which is the cornerstone of later education, the importance of teacher education cannot be overemphasized. However, unparalled by the acceleration of our national sinew and the outcry for the system amelioration of junior teachers colleges, hosts of contentious issues are yet swept under the rug, so that the persons concerned can concentrate on the solutions likely to find unanimity in the overall context of the aspiration of the primary school teachers and the advances in teacher education and practices in the world at large. Hereby, the details of the controversies concerning the present-day-touted junior teachers colleges are presented for further debate as the followings. 1. SCHOOL SYSTEM 1) The span of 2 year course is too short to implement the existing curricular of junior teachers college. 2) The longer term of teacher education is required of the specialization of education and qualification of teachers. 3) A higher degree of knowledge expansion and multifaceted academic development demand longer period of teacher education than now. 4) A falling-off of primary school teachers' academic career unequal to that of 4 year college demotes the uncompleteness of social strata and deprives him of the opportunity of the movement of social hierarchy. 5) The functions of cognitive education as well as of affective education are alleged to take their firm root in the childhood and to do so, the academic levels of primary school teachers should be elevated. 6) In anticipation of the 9 year compulsory education, bilateral teacher education institutions for training secondary and primary school teachers should be integrated into unilateral ones as the existing teachers colleges, which are sooner to be raised to the status of 4 year-universities and to train both levels of secondary and primary school teachers. 7) In most of foreign countries, the global are that teacher education institutions of 4 years train primary and secondary school teachers simultaneously. 8) In view of the fact that the subject matter assignment system will be expected to come into force even in primary schools, the period of training should be prolonged by 4 years. 2. TEACHERS' INCENTIVE SYSTEM In order to attract more talented students to the teacher education institutions and to prepare adequately qualified teachers, the following points are urged to be taken into account: 1) Primary school teachers' salaries are lower than those of other professions or secondary school teachers, provided they have equal qualifications and responsibility. 2) Lower socio-economic status attributable to not high school background. 3) Scarcity of a prospect and a betterment of social class as a primary school teachers. 4) Closedness of a school climate attributable to the advanced age and anti-innovative leadership of school administrators, in particular, primary school administrators. 5) Strained job condition attributable to the pressure of school jobs on the increase. 6) Stock-piles of personnel promotion attributable to longer age limit than other professions. 7) Easy-going attitude attributable to steady seniority system and perfunctory renewal of teachers' licenses. 8) Heteronomous or antidemocratic management of school organizations. 9) Not enough allowance of scholarship and lack of proper dormitory facilities. 10) Rarity of opportunity for the competent teachers to be advanced to the school of higher grade at national expenditure.

도산(島山) 안창호(安昌浩)의 교육사상

具奉洙 淸州敎育大學校 1983 論文集 Vol.20 No.-

ON THE RADIUS OF UNIVALENT FUNCTIONS

朴奉求 호남대학교 1992 호남대학교 학술논문집 Vol.13 No.-

Pommerenke는 位數 α인 線形不變海解析函數族을 定義하여 이에 관한 여러 가지 성질을 發表하였다. Shah와 Trimble은 해석함수 f(z)의 문제가 도함수 f(z),의 univalencedml 半徑에 의해 영향을 받는다는 것을 발견하였으며, Campbell은 Uβ-半徑에 관한 문제를 보다 일반화할 수 있음을 보였다. 本 論文에서는 univalent 함수의 半徑에 관한 여러 가지 문제를 조사 硏究하였다.

움직임 예측을 위한 비트패턴을 이용한 고속 워핑 예측

강봉구,윤태승,곽내정,안재형 충북대학교 컴퓨터정보통신 연구소 2002 컴퓨터정보통신연구 Vol.10 No.2

본 논문에서는 비트패턴을 이용한 고속 워핑 예측을 제안한다. 워핑 예측은 이웃한 노드들의 움직임 벡터에서 움직임 정보를 가져오는 공간적인 의존성 때문에 최적의 움직임을 찾기 위해서는 반복적인 탐색을 요구한다. 반복적인 탐색에 의해 발생하는 연산량의 증가는 워핑 예측의 사용을 저해하는 큰 이유 중의 하나이다. 본 논문에서 제안한 방법은 비트패턴을 이용해서 움직임 여부를 판단한다. 움직임이 없는 영역에서의 의미 없는 움직임 예측을 제거하고, 움직임이 있는 영역에서만 워핑 예측을 수행함으로써 빠른 움직임 예측이 가능하게 된다. 제안된 방법으로 실험한 결과 기존의 워핑 예측을 수행했을 때보다 성능은 근접하면서도 연산량이 75% 이상 감소하였다. In this paper, we propose a fast warping prediction using bit-pattern. Because of the spatial dependency between motion vectors of neighboring node points carrying motion information, the optimization of motion search requires an iterative process. The computational load stemming from the iterative search is one of the major obstacles for practical usage of warping prediction. The motion estimation in the proposed algorithm measures whether the motion content of the area is or not, using bit-pattern. Warping prediction using the motion content of the area make the procedure of motion estimation efficient by eliminating an unnecessary searching process. Experimental results show that the proposed algorithm can reduce about 75% of iterative search while maintaining performance as close as the conventional warping prediction.

ON EXTREME POINTS OF THE SUBCLASSES OF UNIVALENT FUNCTIONS

박봉구 호남대학교 산업기술연구소 1997 산업기술연구논문집 Vol.5 No.-

단엽함수족 ??의 부분족 ??, ??, ??의 extreme point를 정의하고 이들의 몇가지 성질을 조사 연구했다. In this paper we shall define extreme points of the subclasses, ??, ??, ?? of univalent functions and study their properties.

진행성 치매와 반복되는 뇌졸중을 보인 뇌 아밀로이드 혈관병증 1예

유봉구,곽강호,김태유,김광수,유경무 대한치매학회 2004 Dementia and Neurocognitive Disorders Vol.3 No.1

Cerebral amyloid angiopathy can cause intracerebral hemorrhage, progressive dementia, seizure and transient ischemic attacks. Dementia is a relatively common manifestation and associated with the presence of recurrent strokes and leukoencephalopathy. A 66-year-old right-handed man with hypertension and recurrent strokes presented with rapidly progressive dementia and sudden onset of dysarthria and dizziness. He showed memory impairment, personality and behavioral changes, and executive dysfunction for one and an half years. These symptoms developed insidiously and quite rapidly without fluctuation. Brain CT showed a small hemorrhage in the right cerebellum. Brain MRI, especially gradient-echo images revealed multiple cortical and cortico-subcortical microbleeds. Four weeks later, right hemiparesis suddenly developed and a repeated MRI showed a new left corona radiata infarction. We learn from this case that gradient-echo MR images should be performed in patients with rapidly progressive dementia and recurrent strokes.

幼稚園敎師養成制度에 關한 硏究

李鳳翼,具奉洙 淸州敎育大學校 1981 論文集 Vol.18 No.-

운동신경원성질환을 동반한 산발성 크로이츠펠트-야곱병 1예

유봉구,김광수,유경무 대한치매학회 2003 Dementia and Neurocognitive Disorders Vol.2 No.1

Dementia with motor neuron disease includes frontotemporal dementia with motor neuron disease, amyotrophic Creuzfeldt-Jakob disease, Parkinson-amyotrophic lateral sclerosis-dementia complex, familial amyotrophic lateral sclerosis, and hereditary spastic paraparesis. A 54-years-old man presented with a eight month history of rapidly progressive dementia. Progressively more severe dementia was accompanied by muscle wasting and visible fasciculations. Cerebrospinal fluid showed the 14-3-3 protein. Brain MRI revealed mild diffuse atrophy in both frontal, temporal and parietal lobes. He died 9 months after onset of the disease. We report a patient with sporadic Creuzfeldt-Jakob disease with motor neuron disease.