• 제목/요약/키워드: Function Education

검색결과 3,458건 처리시간 0.027초

EVALUATIONS OF THE ROGERS-RAMANUJAN CONTINUED FRACTION BY THETA-FUNCTION IDENTITIES

  • Paek, Dae Hyun
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제28권4호
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    • pp.377-386
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    • 2021
  • In this paper, we use theta-function identities involving parameters 𝑙5,n, 𝑙'5,n, and 𝑙'5,4n to evaluate the Rogers-Ramanujan continued fractions $R(e^{-2{\pi}{\sqrt{n/20}}})$ and $S(e^{-{\pi}{\sqrt{n/5}}})$ for some positive rational numbers n.

EVALUATIONS OF THE ROGERS-RAMANUJAN CONTINUED FRACTION BY THETA-FUNCTION IDENTITIES REVISITED

  • Yi, Jinhee;Paek, Dae Hyun
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제29권3호
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    • pp.245-254
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    • 2022
  • In this paper, we use some theta-function identities involving certain parameters to show how to evaluate Rogers-Ramanujan continued fraction R($e^{-2{\pi}\sqrt{n}}$) and S($e^{-{\pi}\sqrt{n}}$) for $n=\frac{1}{5.4^m}$ and $\frac{1}{4^m}$, where m is any positive integer. We give some explicit evaluations of them.

GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS

  • Lee, Dong-Myung;Rathie, Arjun K.;Parmar, Rakesh K.;Kim, Yong-Sup
    • 호남수학학술지
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    • 제33권2호
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    • pp.187-206
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    • 2011
  • The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas transform formulas, recurrence relations, summation formula for these new generalization.

평생학습 확대에 따른 지역평생교육 추진체제 활성화 방안 (A Study on the Method to Reinforce the Efficient Political Function for Lifelong Learning)

  • 윤명희;이충렬;박종운;임현성
    • 수산해양교육연구
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    • 제22권4호
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    • pp.576-588
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    • 2010
  • The goal of this research was to survey a method to reinforce the efficient political function for lifelong learning when Busan metropolitan city promotes lifelong policy. To achieve this goal, the survey to reinforce the political function for lifelong education was carried out on persons in charge of lifelong education in Busan metropolitan city. The results are as follows: First, they showed high degree of perception on lifelong policy and business. Second, on a question about how much the tasks to promote lifelong education presented by our nation are needed, they answered that concrete agenda for an aging society is needed and a necessary institute to invigorate it is lifelong learning institute. Third, they answered that the policy which is necessary to be implemented as soon as possible is the development education for vocational competency, and the ratio of the perception which requires to hire education experts for life long education was high.

재기교육 프로그램이 정신분열병 환자의 재활동기, 증상 및 기능에 미치는 영향 (The Effects of a Recovery Education Program on Rehabilitation Motivation, Symptoms, and Function for Schizophrenic Patients)

  • 김이영;박현숙;박경민
    • 대한간호학회지
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    • 제36권3호
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    • pp.542-550
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    • 2006
  • Purpose: This study investigated the effects of a recovery education program on rehabilitation motivation, symptoms, and function for schizophrenic patients. Method: The study employed a quasi-experimental design. Participants for the study were 27 patients with schizophrenia, 14 in the experimental group and the other 13 in the control group. Data were analyzed by using the SPSS/WIN 11.5 program with Fisher's exact test, t-test, and Repeated measures ANOVA. Results: After a 7 week intervention, participants in the recovery education program group reported increased rehabilitation motivation and function scores, which was significantly different from those in the control group. Conclusion: A recovery education program was effective improving rehabilitation motivation and function for schizophrenic patients. Therefore, this program is recommended as a rehabilitation strategy for schizophrenic patients.

Gonadotrophin Releasing Hormone Analogues for Ovarian Function Preservation in Young Females Undergoing Chemotherapy

  • Bansal, Anshuma;Patel, Firuza Darius;Rai, Bhavana;Dhanireddy, Bhaswanth;Sharma, Suresh Chand
    • Asian Pacific Journal of Cancer Prevention
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    • 제15권5호
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    • pp.2185-2190
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    • 2014
  • Chemotherapy has significantly improved the prognosis of cancer patients with various malignancies. However, female patients, especially those whoich are premenopausal, suffer from significant chemotherapy induced ovarian function impairment, which decreases their quality of life. Many new techniques for ovarian preservation have been established in recent years. Although the use of gonadotrophin releasing hormone analogues (GnRHa) for this purpose is not a new concept, its effectiveness in protection of ovarian function is still debatable. This article deals with studies and metaanalyses which have been undertaken in the past, demonstrating the impact of GnRHa in ovarian function preservation, and whether their use can be implemented in routine practice.

Mathematical and Pedagogical Discussions of the Function Concept

  • Cha, In-Sook
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제3권1호
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    • pp.35-56
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    • 1999
  • The evolution of the function concept was delineated in terms of the 17th and 18th Centuries' dependent nature of function, and the 19th and 20th Centuries' arbitrary and univalent nature of function. According to mathematics educators' beliefs about the value of the function concept in school mathematics, certain definitions of the concept tend to be emphasized. This study discusses three types - genetical (dependence), logical (settheoretical), analogical (machine/equations) - of definition of function and their values.

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초등교사의 시각적 표상 활용 실태 및 시각적 표상의 기능에 대한 인식 (Elementary School Teachers' Use of Visual Representations and their Perceptions of the Functions of Visual Representations)

  • 윤혜경;박지선
    • 한국초등과학교육학회지:초등과학교육
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    • 제37권2호
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    • pp.219-231
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    • 2018
  • This study surveyed the elementary school teachers' use of visual representations and their perceptions of the functions of visual representations in the teaching of electricity unit. A total of 110 elementary teachers who have experiences in teaching electricity unit responded to online survey. The result showed firstly that most of the teachers use visual representations in their teaching and it is mostly limited to those presented in textbooks or images that they can get easily from internet search. Secondly, elementary teachers thought that they have high ability in using visual representations and low ability in understanding students' visual presentation ability. Thirdly, visual representations are more often preferred to be used as teacher-centered ways than student-centered ways for motivating students and conceptual understanding. However, in case of scientific inquiry, both teacher-centered and student-centered ways were equally preferred. Lastly, the teachers' perceptions of the functions of visual representations were categorized into 'teaching-instrumental function', 'learning-instrumental function', 'communicative-instrumental function' and 8 subcategories were found. The most frequent function was the 'information delivery function' in the 'teaching-instrumental function' category. Implications for teacher education and further studies were discussed.

고등학교 일반각의 삼각 함수값 구하기에 대한 교수법적 분석과 논의 (Pedagogical Analysis and Discussion about Finding Trigonometric Function Values of General Angles in High School Mathematics)

  • 조정수
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제22권3호
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    • pp.289-310
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    • 2008
  • 본 연구는 고등학교 <10-나>의 삼각함수의 성질을 단위원이 아니라 삼각함수 sin(x), cos(x), tan(x)의 그래프 성질을 이용하여 구할 수 있는 방법을 제시하여 삼각함수의 값을 구하는 학습활동과 삼각함수의 그래프에 대한 학습활동과의 연계성을 높이고, 이를 통하여 삼각함수의 성질에 대한 학생들의 이해를 향상시킬 수 있는지를 논의하고자 한다. 본 연구의 결론은 삼각함수 그래프 이용에 의한 삼각 함수값 구하기의 효율성 증대, 일반각에 대한 삼각 함수값 구하기의 정확한 용어 사용, 삼각 함수값 구하기와 삼각함수의 그래프 지도내용 사이의 연계성, 삼각함수의 그래프의 선행 지도 등이며 이에 대한 논의가 제시되어 있다.

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