Special Function Inverse Series Pairs

Alsardary, Salar Yaseen,Gould, Henry Wadsworth Department of Mathematics 2010 Kyungpook mathematical journal Vol.50 No.2

Working with the various special functions of mathematical physics and applied mathematics we often encounter inverse relations of the type $F_n(x)=\sum\limits_{k=0}^{n}A^n_kG_k(x)$ and $ G_n(x)=\sum\limits_{k=0}^{n}B_k^nF_k(x)$, where 0, 1, 2,$\cdots$. Here $F_n(x)$, $G_n(x)$ denote special polynomial functions, and $A_k^n$, $B_k^n$ denote coefficients found by use of the orthogonal properties of $F_n(x)$ and $G_n(x)$, or by skillful series manipulations. Typically $G_n(x)=x^n$ and $F_n(x)=P_n(x)$, the n-th Legendre polynomial. We give a collection of inverse series pairs of the type $f(n)=\sum\limits_{k=0}^{n}A_k^ng(k)$ if and only if $g(n)=\sum\limits_{k=0}^{n}B_k^nf(k)$, each pair being based on some reasonably well-known special function. We also state and prove an interesting generalization of a theorem of Rainville in this form.

OPERATIONAL CALCULUS ASSOCIATED WITH CERTAIN FAMILIES OF GENERATING FUNCTIONS

KHAN, REHANA,KHAN, SUBUHI Korean Mathematical Society 2015 대한수학회논문집 Vol.30 No.4

In this paper, we discuss how the operational calculus can be exploited to the theory of mixed generating functions. We use operational methods associated with multi-variable Hermite polynomials, Laguerre polynomials and Bessels functions to drive identities useful in electromagnetism, fluid mechanics etc. Certain special cases giving bilateral generating relations related to these special functions are also discussed.

외상성 척수손상장애인과 뇌성마비장애인의 맞춤형 전동휠체어 적용 시 착석시스템의 차이에 대한 연구

유성문(S. M. Yoo),조금란(K. R. Cho),임명준(M. J. Lim),김종배(J. B. Kim) 한국재활복지공학회 2009 재활복지공학회논문지 Vol.3 No.1

본 논문은 외상성 척수손상 장애인(SCI)과 뇌성마비장애인(CP)의 맞춤형 전동휠체어 적용 시 착석시스템에 대해 비교해 보는 연구이다. 이를 통하여 장애 영역에 따른 맞춤형 전동휠체어 착석시스템의 다른 점을 파악하고,이러한 결과들을 기초로 하여 휠체어 공적급여 및 처방 시 관련된 문제들을 개선하는데 도움이 되고자 한다. 휠체어 앉기 및 자세는 크게, 자세유지장치, 착석쿠션, 휠체어 자세변환장치 등 세 가지로 구분되어 있다. 국립재활원의 장애인 보조기구 사례관리 시범사업의 2009년 대상자 중 맞춤형 전동휠체어를 처방하고 구축해준 SCI 장애인 5명, CP 장애인 5명을 대상으로 수행한 일련의 과정을 통하여 대상자군에 따라 각 장치의 사용빈도가 차이가 있다는 것을 발견하였다. 자세유지장치는 머리받침대 등 총 10개의 소분류로 구분하였고,착석쿠션은 공기형 등 총 4개의 소분류로 구분하였다. 휠체어 자세변환장치는 틸팅 등 총 5개의 소분류로 구분하였다. 자세유지장치에서는 대상군에 따라서 각 소분류의 필요 빈도가 달랐으며, 착석쿠션 또한 SCI 장애인은 공기형을 주로 쓰며,CP 장애인은 폼형을 주로 쓰는 것으로 나타났다. 휠체어 자세변형장 치로는 SCI 장애인군에서는 다양한 장치를 사용하였으나,CP 장애인군에서는 기본형 전동휠체어 장치를 사용하였다. In this paper, we compared wheelchair seating system between wheelchair users with cerebral palsy and spinal cord injuries. Wheelchair seating system is divided into three parts, seating components, seating cushion, and special functions. Seating components are composed of 10 sections, such as headrest, footrest, etc. There are 4 seating cushions including gel, form, hybrid, and air. Also leg elevation, seat elevation, tilt-in-space, reclining, and standing are special function of the wheelchair. There are 10 wheelchair users, 5 with celebral palsy, and 5 with spinal cord injuries who have participated in this study. 10 wheelchair users have been customers of rehabilitation technology center in national rehabilitation center. On the result, SCI group mostly uses headrest, and Humeral blocks (seating components), air cushion (seating cushion), and tilt in space, reclining (special functions). On the other hand, CP group uses adductor, abductor, and pommel (seating components), form cushion (seating cushion), and some of CP group uses reclining (special functions)

생태학적 교육과정의 생활기술과 특수교육 기본교육과정의 학년군별 교과 성취기준과의 연계성 분석

백수진(Baek Su-Jin),김진호(Kim, Jin-Ho) 학습자중심교과교육학회 2020 학습자중심교과교육연구 Vol.20 No.14

지적 및 발달장애학생을 위한 생활기술 지도는 현재 환경뿐만 아니라 미래의 가정, 학교, 지역사회, 직장 등 다양한 생활환경에서 독립생활을 할 수 있게 함으로써 궁극적으로 장애학생의 삶의 질과 특수교육의 효과를 높이기 위해 특수교육에서 중요하게 다루어져야 하는 교육영역이다. 본 연구는 생태학적 교육과정의 생활영역별 생활기술과 특수교육 기본교육과정의 학년군별 교과 성취기준과의 연계성을 분석하는 데 목적을 두었다. 이를 위해 특수교육 기본교육과정모든 학년군의 교과 성취기준 1,130개 중 생태학적 생활기술과 관련 있는 성취기준 350개를 선정하였고, 생태학적 교육과정의 생활기술 67개와 연계성을 분석한 결과 가정생활은 117개, 학교생활은 114개, 지역사회생활은 75개, 직업생활은 44개로 나타났다. 또한 생태학적 교육과정의 생활기술은 특수교육 기본교육과정의 2개 학년군 이상에서 교과 성취기준과 연계하여 계속적으로 가르칠 수 있었고, 동일 학년군에서 2개 이상의 교과 성취기준과 연계·통합할 수 있는 것으로 나타났다. 이러한 연구 결과는 교과별 성취기준 중심의 특수교육 기본교육과정 운영 체제 안에서 생태학적 생활환경 중심의 생활기술과 연계·통합하여 체계적으로 가르칠 수 있는 교육과정 재구성 근거를 마련하였다는 데 의의가 있으며, 향후 특수교육 기본교육과정 개정 시 참고자료로 활용될 수 있을 것이다. Teaching functional life skills to students with intellectual and developmental disabilities increases the independent living abilities of the students in various living environments so that it can improve their quality of life and ultimately lead to the positive results of special education. The purpose of this study was to analyze the functional life skills of the ecological curriculum by living environments and their connection to the subject achievement standards of the Special Education Basic Curriculum by school grades as a way that can teach functional life skills to students with disabilities systematically and effectively. For this purpose, 350 out of 1,130 subject achievement standards for each school grade were selected for the Special Education Basic Curriculum, and the association of subject achievement standards with each school grade s was analyzed based on 67 living skills functions. And the analysis found that 117 were for home life, 114 for school life, 75 for community life, and 44 for vocational life. It was also found that the functional life skills of the ecological curriculum could be continuously connected in two or more school year groups of the Special Education Basic Curriculum, and that it could be connected and integrated with two or more subjects in the same school year group. These results are meaningful because they can provide a basis for the reorganization of the National curriculum so that life skills of ecological living environments can be systematically taught within the education system of the Special Education Basic Curriculum.

특전사 장병의 천리행군(400 ㎞) 시 훈련일정 변형이 하지기능과 정신력에 미치는 영향

성봉주(Bong-Ju Sung),이대택(Dae-Taek Lee),김병조(Byeong-Jo Kim) 한국생활환경학회 2017 한국생활환경학회지 Vol.24 No.3

Introduction : This study examined the effects of three schedules of annual training of 400 ㎞ military march(400 ㎞) of Korean Special Force soldiers on knee function and mental states. Methods : Ninety six Korean Special Force soldiers(25.5±3.7 yrs; 176.8±5.0 cm; 72.5±5.9 kg; 43.0±33.2 month of military career) participated in 400 ㎞. They were randomly assigned into one of 3 march types differing schedules; traditional march(TM; n=15; 6 day×50 ㎞-1 day rest-100 ㎞), late stage 100 march(L100 ㎞: n=49; 3 day×50 ㎞-1 day rest–3 day×50 ㎞-1 day rest-100 ㎞), early stage 100 march(E100 ㎞; n=32; 100-1 day rest-3 day×50 ㎞-1 day rest-3×50 ㎞). Before and after the march, knee function was assessed by questioning 8 lower body functions; limping, supporting, stair climbing, sitting down, instability, pain, swelling, and thigh tightness. Mental Toughness was evaluated with subscale of competitiveness, hard fighting, patience, and fighting spirit. Knee function and Mental Toughness were calculated and scored. Perception toward 400K was assessed by 3 open questions in 5 point Likert scale. Results : Total score of knee function was 93.7±14.8 and 97.7±2.6 in TM, 84.7±19.6 and 85.0±20.1 in L100 ㎞, and 80.7±14.6 and 81.4±15.9 in E100 ㎞, before and after 400 ㎞(p>0.05). Mental Toughness increased from 3.8±0.6 to 4.2±0.7 by 400 ㎞ in L100 ㎞, but decreased from 4.2±0.5 to 3.8±0.7 in E100 ㎞. Mental Toughness after 400 ㎞ was significantly different between L100 ㎞ and E100 ㎞(p<0.05). Mental Toughness of TM was not different after 400 ㎞. Positive perception toward 400K was 3.8±0.7 and 3.9±0.7 in TM, 3.2±1.1 and 4.0±1.0 in L100 ㎞, and 4.2±0.7 and 3.1±0.9 in E100㎞, before and after the 400㎞, respectively. The perception after the 400K was higher in TM and L100K than E100 ㎞ (p<0.05). Conclusion : Any three types of marching schedule did not change knee function. However, the number of days of resting and the march distance indeed affected the mental status of the soldiers. The findings of this study are valuable for developing and implementing long duration military march. Practical application and strategy development should be considered.

춘천 애니메이션박물관의 기획전시 및 연구조사 기능 활성화를 위한 전략연구

한창완(Han Changwan) 한국예술경영학회 2004 예술경영연구 Vol.5 No.-

The Animation Museum is responsible for serving domestic animation culture and industries through the effective management and maximization of its specialized functions. Moreover, it should play a role of central engines to be an advanced model for the future. This study, by analysing the conditions of current situations of the Animation Museum, examines the key functions and strategies of the Animation Museum. The research questions are as follows: 1. How should the specialized functions of the Animation Museum be developed and realized to revitalize the domestic animation industry? 2. What are the effective strategies to realize the proposed functions considering the characteristics of Chunchon city? To solve these questions, established research results and the related data are analyzied in the first place. Then, some alternatives to cope with new industrial environments of animation are proposed. Based on the understanding the specific concepts and industrial trends of animation, new strategies to realize the specialized functions are suggested. In conclusion, five principal functions were proposed including the areas of ‘exhibition’, ‘curatorial research’, ‘policy research’, ‘publication’ and ‘forum’. Exhibition is the most essential one since it can lead the social discourse by setting the agenda. ‘Curatorial research’ function should have an important role to promote arts culture and arts industry, making the best use of ‘policy research’. The academic performance of curatorial function could serve as the foundation to accomplish policy research. The outcomes of ‘curatorial research’ and ‘policy research’ should be published. Also the function as a ‘forum’ should be expanded to keep ‘publication’ up. This study presented the goals and necessities of Animation Museum based on the characteristics of animation and industry. Then, it proposed historical forms and specialized major functions of animation museum. Finally the concrete alternatives to operate and reinforce those functions are suggested.

전문가 패널들이 인식하는 공업계고등학교의 전문교육 역할

오승균 대한공업교육학회 2008 대한공업교육학회지 Vol.33 No.1

The purpose of this research is to clarify the elements of the function of the role of industrial high schools that its experts perceived. The content of this research is verify the function element required for the performance of the role of specialized education through content validity ratio(CVR). This research adopted the method of literature research and Delphi method, which is to collect and come to an agreement of the opinions of the 26 research panels. The first round is constructed by the semi-constructed questionnaire for the analysis of the opinions of the panels by inductive method. The second round is to categorize the result of the first one into 7 domains, and asked each category by Likert's 5 scale checklists, and statistically analyzed mean, medium, standard deviation, and quartile. The third round is to statistically analyze Mean, standard deviation, medium, and validity ratio(CVR) to reassure the opinions of the panels on the basis of the result of the first one. The categorized contents of the function required for the performance of the specialized education in this research is 'in-service visit and in-service training', 'licence acquiring education', 'employment counseling and job employment information', 'custom-made education connected with industry', 'career education' and 'enhancement of basic career competency'. The panels are divided into professors, teachers, professionals, and policy administrators, and they verified the validity rate of the function role and priority of emphasis. The result showed that the tendency of the education is converting from physical function-centered education to education of emotional attitude and competence of thought. 이 연구 목적은 전문가 공업교육 전문가 패널들이 인식하는 공업계열 고등학교의 전문교육 역할에 대한 기능 요인이 무엇인가를 구명하는 데 있다. 연구의 내용은 공업계열 고등학교의 전문교육 역할을 수행하는 데 필요한 기능 요인에 대하여 내용 타당도(CVR)를 통하여 검증하는 것이다. 이 연구의 방법은 문헌 고찰과 대학교수, 공업계열 교사, 정책 행정가 등으로 구성한 26명이 패널들의 의견을 수렴하고 합의하는 델파이 방법을 활용하였다. 제1라운드는 반구조화한 질문지로 패널들의 의견을 귀납적으로 내용분석하였다. 제2라운드는 제1라운드의 결과에 기초하여 7개의 영역으로 범주화하고 5단계 Likert 평정 질문으로 평균, 중앙값, 표준편차, 사분범위 등의 값을 통계처리하였다. 제3라운드는 제2라운드의 결과에 기초하여 패널들의 의견을 재확인하기 위해 평균, 표준편차, 중앙값, 내용 타당도, 합의도 및 수렴도 등의 값을 통계처리하였다. 이 연구에서 전문교육을 수행하는 데 필요한 기능을 범주화한 내용은 ‘현장체험 및 현장실습 교육’, ‘자격증 취득 교육’, ‘취업상담 및 직업․고용 정보 제공’, ‘산업체와 연계한 맞춤형 교육’, 직업진로 교육‘, 직업기초능력 함양’ 등의 기능요인을 강조하고 있다. 그리고 교수 패널, 교사 패널, 전문가 패널, 정책 행정가 등의 패널로 구분하여 공업계열 고등학교의 전문교육 역할을 수행하는 데 필요한 기능 요인의 타당도 및 강조 우선 순위를 검증한 결과는 신체적 기능 중심 교육보다는 정의적인 태도 및 사고 기능 교육을 중심으로 하는 교육방향으로 전환하는 것으로 나타났다. 이와 같이 공업계열 고등학교의 전문교육을 수행하는 데 필요한 기능 요인의 구명으로 향후 국가수준, 지역수준, 학교수준의 구체적인 교육과정을 개발해야 한다.

가정방문 인지자극 활동이 치매특별등급(5등급) 노인의 인지기능 및 기억 자기효능감에 미치는 효과 : 개별대상연구

손보영(Bo-Young Son),방요순(Yo-Soon Bang) 한국엔터테인먼트산업학회 2019 한국엔터테인먼트산업학회논문지 Vol.13 No.5

본 연구는 가정방문 인지자극 활동이 치매특별등급(5등급) 노인의 인지기능 및 기억 자기효능감에 미치는 효과를 알아보고자 하였다. 연구기간 및 대상은 2019년 2월 11일부터 4월 26일까지 G광역시에 거주 하는 65세 여성 1명으로, 개별대상연구의 A-B-A´설계를 사용하였다. 초기 진단을 받은 치매특별등급(5등급)의 경증치매 노인에게 비교적 접근성이 쉽고, 스스로 생각하고 풀어갈 수 있는 수준의 신체·인지자극 활동을 병행함으로써 지적능력을 반복적으로 자극하여 저하된 인지기능을 완화시켰고, 일상생활에서 친숙한 글자, 숫자, 신체 움직임 등을 이용한 단기기억 및 회상 활동을 지속적으로 훈련함으로써 저하된 기억력과 집중력의 인지기능에 긍정적 영향을 미쳤다. 이는 인지자극 활동이 초기 경증치매 노인들에게 센터, 복지관 등의 특정장소를 벗어나 가정에서 손쉽게 접근 가능한 치매예방프로그램임을 확인하였다. 따라서 본 연구의 인지자극 활동은 치매특별등급(5등급) 노인의 인지기능 및 두드러지는 기억저하에 긍정적 영향을 미칠 수 있는 효과적 중재로의 가능성을 확인하였기에, 적극적인 실용 방안을 제안하는 바이다. This study involved the effects of home-visit program with cognitive-stimulating activities on cognitive function and memory self-efficacy of an elderly with dementia special rating(5rates). The study was conducted from February 11 to April 26, 2019 using a 65-year old woman residing in G Metropolitan City. The individual subject study used an A-B-A design. The subject performed activities that required thinking and resolving in order to stimulate both her body and cognition. The activities chosen were easily accessible to those having a form of mild dementia, rates 5 dementia special rating, and repetitively stimulated the subject’s intellectual capacity in an attempt to increase her degraded cognitive functioning. Specifically, the activities exercised both short-term memory and recollection using familiar letters, numbers, and bodily movements frequently encountered in daily life. The program positively affected the subject’s memory and concentration. In addition, the program was found to be feasible for home use by those with mild dementia, obviating the need to travel to a location like a welfare center. The author presents specific activities for stimulating cognition that can effectively intervene to positively influence the cognitive functioning and memory of those with rates 5 dementia special rating.

Evaluation of a double integral

S. Gaboury,A. K. Rathie 장전수학회 2015 Proceedings of the Jangjeon mathematical society Vol.18 No.3

Recently, Brychkov [Yu. A. Brychkov, Evaluation of some classes of definite and indefinite integrals, Integral Transforms Spec. Funct. 13 (2002), 163{167] evaluated some new classes of denite and inde nite single and double integrals involving various elementary special functions and the logarithmic function. The aim of this short note is to obtain an interesting double integral in terms of Psi and Hurwitz zeta functions suitable for numerical computations. A few special cases, including the one obtained by Brychkov, are also given.

산림기능유형별 잠재력 평가를 위한 주요 산림입지환경인자의 상대적 중요도 분석

김형호 ( Kim Hyeong Ho ),정주상 ( Jeong Ju Sang ),김종호 ( Kim Jong Ho ) 한국산림과학회 2003 한국산림과학회지 Vol.92 No.4

This study was conducted to determine the relative importance of forest environmental factors in evaluating the potential of forest lands for forest functions. The forest function types and the environmental factors were determined through forest-specialists questionnaire survey. According to the results of the survey, forest functional types were classified into such six functions as timber production, stable supply of water resources, forest hazards prevention, recreation, promotion of living-environment and conservation of natural environment. Friedman test was used to evaluate the differences among groups for priority orders and the weights of evaluation factors, and then Tukey test was used for grouping among them.