• 제목/요약/키워드: special functions

검색결과 851건 처리시간 0.026초

제7차 초등학교 수학에 새롭게 등장한 용어 '약속'의 재음미 -기하 영역을 중심으로- (Investigation a Newly Introduced Word 'Stipulation' In Recent Elementary School Mathematics - In the Area of Geometry)

  • 조영미
    • 대한수학교육학회지:학교수학
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    • 제4권2호
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    • pp.247-260
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    • 2002
  • In recent elementary school mathematics a word 'stipulation' newly appears. The word is used instead of definition. However, there seems to be some differences between definition and stipulation. So, in this paper we investigate those differences through the concept 'function of definition'. In school mathematics textbooks there are definitions which carry out special functions In mathematical contexts or situations. We can say that we understand those definitions, only if we also understand the functions of definitions in those contexts or situations. Functions of definition are classified as, stipulation-function, discrimination-function, analysis-function, demonstration-function, improvement-function. With these analyses we made a frame for investigating the characteristics of the definitions in recent elementary school mathematics textbooks. As a result of analysing functions of definition we found that generally speaking, stipulation-function is excessively emphasized and the other functions of definition are not explained adequately in school mathematics textbooks. So it is required that the textbook authors should be careful not to miss an opportunity for the functional understanding and the mathematics teachers should be aware of the functions of definitions. Finally, we comment that textbook author, teacher, and researcher should be careful in using the word 'stipulation' instead of definition, because, although there are various functions of definitions, students might ream only stipulation-function.

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EXTENDED HERMITE-HADAMARD(H-H) AND FEJER'S INEQUALITIES BASED ON GEOMETRICALLY-s-CONVEX FUNCTIONS IN THIRD AND FOURTH SENSE

  • SABIR YASIN;MASNITA MISIRAN;ZURNI OMAR;RABIA LUQMAN
    • Journal of applied mathematics & informatics
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    • 제41권5호
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    • pp.963-972
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    • 2023
  • In this paper, geometrically convex and s-convex functions in third and fourth sense are merged to form (g, s)-convex function. Characterizations of (g, s)-convex function, algebraic and functional properties are presented. In addition, novel functions based on the integral of (g, s)-convex functions in the third sense are created, and inequality relations for these functions are explored and examined under particular conditions. Further, there are also some relationships between (g, s)-convex function and previously defined functions. The (g, s)-convex function and its derivatives will then be used to extend the well-known H-H and Fejer's type inequalities. In order to obtain the previously mentioned conclusions, several special cases from previous literature for extended H-H and Fejer's inequalities are also investigated. The relation between the average (mean) values and newly created H-H and Fejer's inequalities are also examined.

THE INTEGRATION OF COMPONENTS OF FIRE TECHNOLOGY

  • Marchant, Eric W.
    • 한국화재소방학회:학술대회논문집
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    • 한국화재소방학회 1997년도 International Symposium on Fire Science and Technology
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    • pp.11-18
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    • 1997
  • Fire safety systems in large buildings are likely to be complex and may be designed independently of other systems. This means that the interactions and interfaces between the fire safety systems and between the environmental control systems and the fire safety systems may not be carried out properly. Many large, recent buildings have many technological component systems that are used for the control of the environment within the building. Because of the "special" nature of the fire safety systems there is little consideration is given to the possibility systems with a dual function. However, many of the functions of fire safety systems are extensions of systems that provide the day to day control over the internal environment. The present world-wide trend towards the establishment of performance codes, and regulations, will enable the functional design of all systems and thereby allow closer integration of the "ordinary" and "special" systems. Some aspects of the functional and performance characteristics of systems in buildings are introduced and discussed. Special reference is made to the contributions of the systems to the minimisation of fire damage.e minimisation of fire damage.

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한반도의 기후적 요인에 따른 한국 전통 특수의상연구 - 조선시대 기층민 복식을 중심으로 - (A Study on the Traditional Korean Special Costumes in Accordance with Climatic Factors of the Korean Peninsula - Focusing on Costumes of the Commoners in the Joseon Dynasty Period -)

  • 홍보라;간호섭
    • 복식
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    • 제66권3호
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    • pp.107-120
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    • 2016
  • This study examines functions in traditional Korean special costumes in accordance with the climatic factors of the Korean peninsula. The study focused on clothes worn by commoners during the Joseon dynasty. Climate change has been a major global issue in recent times, and it has been a hot topic in social, cultural, scientific, economic, and industrial communities. Studies have been conducted regarding the rapidly changing climate, and finding ways to cope with unusual temperatures. This thesis studies the development of special costumes in preparation for unusual climates, and requirements of the costume in accordance with the climatic factors, as well as the direction of its development. Its biggest significance lies in collecting and organizing the research data on special costume studies, and on costumes of the commoners, which have been fairly insufficient up to this point. After the Little Ice Age, the Joseon Dynasty period faced poor external environment due to unusual temperatures. The results of studying the costumes of the commoners are as follows: The climate of the Korean peninsula displayed different characteristics depending on the season, so the form, material, and appearance of the seasonal clothing items showed clear differences, and the difference in the crops cultivated according to the climate led to difference in material and material preference shown in the costumes. This meant that costumes differed based on region. In addition, difference in social hierarchy, regulations on costume according to class, and farming oriented social background during the period of Joseon dynasty slowed the development of costumes of commoners, but appears to have had a positive effect on the development of special costumes. We anticipate more succeeding studies on costumes of the commoners and special costumes in the future. We hope more costumes that can wisely respond to the approaching changes in temperature in the Korean peninsula can be designed via modernization of traditional Korean special costumes.

Transcript Profiling of Toll-Like Receptor mRNAs in Selected Tissues of Mink (Neovison vison)

  • Tong, Mingwei;Yi, Li;Cheng, Yuening;Zhang, Miao;Cao, Zhigang;Wang, Jianke;Zhao, Hang;Lin, Peng;Yang, Yong;Cheng, Shipeng
    • Journal of Microbiology and Biotechnology
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    • 제26권12호
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    • pp.2214-2223
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    • 2016
  • Toll-like receptors (TLRs) can recognize conserved molecular patterns and initiate a wide range of innate and adaptive immune responses against invading infectious agents. The aim of this study was to assess the transcript profile of mink TLRs (mTLRs) in mink peripheral blood mononuclear cells (PBMCs) and a range of tissues, and to explore the potential role of mTLRs in the antiviral immune response process. The results indicated that the mTLR partial nucleotide sequences had a high degree of nucleotide identity with ferret sequences (95-98%). Phylogenetic analysis showed that mammalian TLRs grouped into five TLR families, with a closer relationship of the mTLRs with those of ferret than the other mammalian sequences. Moreover, all the mTLRs were ubiquitously expressed in lymphoid organs (spleen and lymph nodes) and PBMCs. Interestingly, the mTLR expression patterns in lung, uterus, and heart showed quite a lot of similarity. Another remarkable observation was the wide expression of mTLR1-3 mRNAs in all tissues. Among the analyzed tissues, skeletal muscle was revealed to being the lowest repertoire of mTLR expression. Additionally, mink PBMCs exposed to the canine distemper virus revealed significant upregulation of mTLR2, mTLR4, mTLR7, and mTLR8 mRNAs, indicating that mTLRs have a role in innate immunity in the mink. Collectively, our results are the first to establish the basic expression patterns of mTLRs and the relationship between mTLRs and a virus, which will contribute to better understanding of the evolution and the functions of mTLRs in the innate immune system in minks.

ON CERTAIN INTEGRALS OF ANALYTIC FUNCTION

  • Kwon, Oh-Sang;Cho, Na-Keun;Owa, Shigeyoshi
    • East Asian mathematical journal
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    • 제4권
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    • pp.33-39
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    • 1988
  • The object of the present paper is to derive some inequalities for certain integrals of functions belonging to the classes A(n), S*(n,$\alpha$) and K(n,$\alpha$). As the special class of our theorems, we have the corresponding result shown by M. $Obradovi\'{c}$ [2].

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REMARKS ON KERNEL FOR WAVELET EXPANSIONS IN MULTIDIMENSIONS

  • Shim, Hong-Tae;Kwon, Joong-Sung
    • Journal of applied mathematics & informatics
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    • 제27권1_2호
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    • pp.419-426
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    • 2009
  • In expansion of function by special basis functions, properties of expansion kernel are very important. In the Fourier series, the series are expressed by the convolution with Dirichlet kernel. We investigate some of properties of kernel in wavelet expansions both in one and higher dimensions.

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Distribution of Votaw's $\lambda_1$(mvc) Criterion

  • Nagar, D.K.;Gupta, A.K.
    • Journal of the Korean Statistical Society
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    • 제23권2호
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    • pp.303-323
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    • 1994
  • In this paper, distribution of Votaw's $\lambda_1$(mvc) criterion has been obtained using inverse Mellin transform, residue theorem and properties of special functions.

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