• Title/Summary/Keyword: General number theory

Search Result 179, Processing Time 0.029 seconds

ON ζ-FACTORS AND COMPUTING STRUCTURES IN CYCLIC n-ROOTS

  • Sabeti, Rostam
    • Korean Journal of Mathematics
    • /
    • v.30 no.2
    • /
    • pp.187-198
    • /
    • 2022
  • In this paper, we introduce a new concept in number theory called ζ-factors associated with a positive integer n. Applications of ζ-factors are in the arrangement of the defining polynomials in cyclic n-roots algebraic system and are thoroughly investigated. More precisely, ζ-factors arise in the proofs of vanishing theorems in regard to associated prime factors of the system. Exact computations through concrete examples of positive dimensions for n = 16, 18 support the results.

A Study on the Manufacture of Vinegar as Described in 'Jeungbosallimgyeongjae' ("증보산림경제"의 식초(食醴) 조리 가공에 관한 연구)

  • Kwon, Soon-Hyung
    • Journal of the East Asian Society of Dietary Life
    • /
    • v.16 no.6
    • /
    • pp.731-739
    • /
    • 2006
  • The text of 'Jeungbosallimgyeongjae' was reviewed to study the manufacture of vinegar and to investigate the changes made to the manufacturing process over time, other works such as 'Eumsigdimibang(1670s)', 'Sallimgyeongjae(1715)', 'Gyuhapchongseo(1815)', 'Juchan(1800년대경)' and 'Chosun-mussangsinsikyorijaebeop(1930)', 'Chosun-eumsikmandeneubeop(1946)' were compared. In both 'Eumsigdimibang', and 'Sallimgyeongjae' there are only three statements on vinegar manufacturing theory. For 'Sallimgyeongjae' these statesments are recorded specifically in the 'Chison' section. This book contains the following topics: the proper number of days for vinegar fermentation vinegar storage theory, how to maintain the vinegar in the pot, and nine vinegar manufacturing theories. 'Gyuhapchongseo' discusses the proper or improper number of days to ferment vinegar, and offers four general theories on vinegar manufacture. 'Ju-Chan' is a book of recipes from the latter era of the Chosun Dynasty. There are three statesments on 'yangchobang' recorded in this book. 'Chosun-mussangsinsikyorijaebeop' contains a general summary on vinegar that includes the theory of vinegar production, the right number of days for fermenting vinegar, clues for maintaining the vinegar in the pot, the method for making vinegar from spoiled alcohol, and finally, how to keep vinegar from molding The book also includes 11 statesments on the theory of vinegar manufacture. In 'Chosun-eumsikmandeneubeop', there are two statesments on vinegar manufacturing theory recorded. To study the use of vinegar in cooking as well as the change in manufacturing theories over time, we selected 'Eumsigdimibang', 'Sallimgyeongjae', 'Gyuhapchongseo', 'Chosun-mussangsinsikyorijaebeop' for a comparative analysis with the book 'Jeungbosallimgyeongje'. From this comparison of the texts we were able to learn the scientific nature of traditional foods. In addition, current vinegar manufacturing practices are changing the originally enjoyed flavors ghat are found with traditional vinegars. By the investigation of historic recipe book 'Ju-Chan,' and given the regular use of vinegar on cooking, we have found the means to reproduce the relished tastes of the past.

  • PDF

- Theoretical Perspectives and Applications in Family Studies - (가족학의 이론적 관점과 적용)

  • 김경신
    • Journal of the Korean Home Economics Association
    • /
    • v.31 no.1
    • /
    • pp.137-151
    • /
    • 1993
  • This study presents an appraisal of current theorizing process through the review of family studies. Also it shows the outlines of five sociological general theories and how to apply them to family studies. The field of family studies entered a new stage in the middle of the twentieth century. Especially the decade of the 1970s was a period of rapid development in family theories because middle-range theories were developed. Currently identified major conceptual frameworks of family studies are five sociological general theories. Exchange theory was utilized in several studies and the problems could have been conceptualized in a way that would have tested the general theory of rewards, costs, and profits, but in most instances the theory was developed at a limited substantive level. Symbolic interactionism is the most useful in understanding precarious human relationships, such as courtship processes, intergenerational relationships family roles, and powers. General systems theory have been provided generalizaitons useful for understanding the characteristics of the family systems and also useful in describing the interactions with the environment, and the functioning of a family along a continuum of open to closed. Conflict theorists point that the basic units of society comprise all persons who share a sense of status equality and there are continual struggles in society for various goods. This theory attemps to account for the development within the family of norms of equity, or fairness. Phenomenology becomes available when we cease to treat an object as real, and begin to treat the object as meant, as intended, as it appears. Therefore the formulation of an adequate and complete description of family is important. Family theorists must be urged to do a number of things including continuing to improve existing theory and continuing to develop metatheory and methodologies of building theory.

  • PDF

Micro and macro in the dynamics of dilute polymer solutions: Convergence of theory with experiment

  • Prakash, J. Ravi
    • Korea-Australia Rheology Journal
    • /
    • v.21 no.4
    • /
    • pp.245-268
    • /
    • 2009
  • Recent developments in dilute polymer solution rheology are reviewed, and placed within the context of the general goals of predicting the complex flow of complex fluids. In particular, the interplay between the use of polymer kinetic theory and continuum mechanics to advance the microscopic and the macroscopic description, respectively, of dilute polymer solution rheology is delineated. The insight that can be gained into the origins of the high Weissenberg number problem through an analysis of the configurational changes undergone by a single molecule at various locations in the flow domain is discussed in the context of flow around a cylinder confined between flat plates. The significant role played by hydrodynamic interactions as the source of much of the richness of the observed rheological behaviour of dilute polymer solutions is highlighted, and the methods by which this phenomenon can be incorporated into a macroscopic description through the use of closure approximations and multi scale simulations is discussed.

REVISION OF THE THEORY OF SYMMETRIC ONE-STEP METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS

  • Kulikov, G.Yo.
    • Journal of applied mathematics & informatics
    • /
    • v.5 no.3
    • /
    • pp.669-690
    • /
    • 1998
  • In this paper we develop a new theory of adjoint and symmetric method in the class of general implicit one-step fixed-stepsize methods. These methods arise from simple and natral def-initions of the concepts of symmetry and adjointness that provide a fruitful basis for analysis. We prove a number of theorems for meth-ods having these properties and show in particular that only the symmetric methods possess a quadratic asymptotic expansion of the global error. In addition we give a very simple test to identify the symmetric methods in practice.

GLOBAL ANALYSIS FOR A DELAY-DISTRIBUTED VIRAL INFECTION MODEL WITH ANTIBODIES AND GENERAL NONLINEAR INCIDENCE RATE

  • Elaiw, A.M.;Alshamrani, N.H.
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • v.18 no.4
    • /
    • pp.317-335
    • /
    • 2014
  • In this work, we investigate the global stability analysis of a viral infection model with antibody immune response. The incidence rate is given by a general function of the populations of the uninfected target cells, infected cells and free viruses. The model has been incorporated with two types of intracellular distributed time delays to describe the time required for viral contacting an uninfected cell and releasing new infectious viruses. We have established a set of conditions on the general incidence rate function and determined two threshold parameters $R_0$ (the basic infection reproduction number) and $R_1$ (the antibody immune response activation number) which are sufficient to determine the global dynamics of the model. The global asymptotic stability of the equilibria of the model has been proven by using Lyapunov theory and applying LaSalle's invariance principle.

Optimality Theory in Semantics and the Anaphora Resolution in Korean: An Adumbration

  • Hong, Min-Pyo
    • Language and Information
    • /
    • v.6 no.2
    • /
    • pp.129-152
    • /
    • 2002
  • This paper argues for a need to adopt a conceptually radical approach to zero anaphora resolution in Korean. It is shown that a number of apparently conflicting constraints, mostly motivated by lexical, syntactic, semantic, and pragmatic factors, are involved in determining the referential identity of zero pronouns in Korean. It is also argued that some of the major concepts of Optimality Theory can provide a good theoretical framework to predict the antecedents to zero pronouns in general. A partial formalization of 07-based constraints at the morpho-syntactic and lexico-semantical level is provided. It is argued that the lexico-semantic restrictions on adjacent expressions play the most important role in the anaphora resolution process along with a variant of the binding principle, formulated in semantic terms. Other pragmatically motivated constraints that incorporate some important intuitions of Centering Theory are proposed too.

  • PDF

The Relative Influence of Juvenile Delinquency Theories Using Korean Children and Youth Panel Data (청소년 비행이론의 상대적인 영향력 검증: 아동·청소년 패널자료를 중심으로)

  • Hwang, Sung-Hyun
    • Korean Security Journal
    • /
    • no.44
    • /
    • pp.225-250
    • /
    • 2015
  • The purpose of this study is to explore the relative influences of juvenile delinquency using variables from Hirschi's social bonding theory, Agnew's general strain theory, Gottfredson and Hirschi's self-control theory, and Akers' social learning theory. The data derived from a sample of 2,018 high school students taken from National Youth Policy Institute in 2013. Multiple OLS regression analysis indicated that social learning theory has the greatest impact on dependent variables than other theories. The results of regression analyses also explore the notion that without the social bond, general strain, and self-control variables, there is very little loss of explained variance when these variables are removed from the full equation. However, when the social learning factors are eliminated from the full equation, the change in $R^2$ is dramatic. This result supported the idea that social learning variables had the strongest effect on the juvenile delinquency of Korean adolescents. The most important implication of this study is that it is the first study to test four major theoretical models for juvenile delinquency in Korea. It also makes a number of important contributions toward the further utilization of social learning in investigating juvenile delinquency for Korean high school students.

  • PDF

A study on the relationship between the concentration status of inpatient services and medical charges per case between 2009 and 2011 (입원서비스의 집중화 수준과 진료비 간의 관계 분석: 2009년~2011년)

  • Kwak, Jin-Mi;Lee, Kwang-Soo;Kwon, Hyuk-Jun
    • Knowledge Management Research
    • /
    • v.16 no.1
    • /
    • pp.209-224
    • /
    • 2015
  • Previous studies provided that limiting the number of services provided in hospital had influences in decreasing cost in delivering medical services. Hospitals could have positive effects on their profit by concentrating small number of services which they have comparative advantages. This study purposed to analyze the relationship between the concentration status of hospitals and medical charge for inpatients. National Inpatient sample data provided by the Health Insurance Review and Assessment Service (HIRA) for three years, 2009 to 2011 was used to compute the three concentration indices (Information Theory Index (ITI), Internal Herfindahl Index (IHI), and number of distinct Diagnosis-Related Groups (DRGs) treated) and total medical charge per inpatient case in each year. It was also used to select the control variables such as bed size, number of doctors per 100 beds, and locations. The ordinary least square regression models were developed and tested for hospital and general hospitals separately. The results showed that the total medical charge per inpatient case was significantly differed depending on the concentration indices, and there were positive relationships in ITI and IHI. The number of distinct DRGs had different directions in regression coefficients depending on the locations and hospital types. Hospitals had larger absolute standardized regression coefficients compare to those of general hospitals. However, their effects could be varied by the hospital types, number of doctors, and locations. It seems that hospitals have more influences on medical charges by concentrating their services than general hospitals. Study results provide knowledges to hospital administrators that concentration strategy can positive influences on the performance of small size hospitals.

A Study on the Guidance Signage System of Outpatient in General Hospital using Spatial Configuration Theory - View from G.D.Weisman's Way-finding Influence Factors (공간구조론을 적용한 종합병원 외래부 유도사인 배치 및 평가에 관한 연구 - G.D.Weisman의 길찾기 요소를 중심으로)

  • Kim, Suktae;Paik, Jinkyung
    • Journal of The Korea Institute of Healthcare Architecture
    • /
    • v.21 no.3
    • /
    • pp.25-35
    • /
    • 2015
  • Purpose: Signs that are installed at unnoticeable places or that disconnect before the destination can bring errors of location information delivery. Therefore, this study aims to find out the spatial relation between structure of space and signs in the perspective of visual exposure possibility, operating arrangement and assesment by applying spatial structure theory. Methods: Effectiveness of organization of guidance signs was evaluated after the four way-finding factors(Plan Configuration, Sign System, Perceptual Access, Architectural Difference) that G.D.Weisman suggested were interpreted by spatial structure theory(J-Graph analysis, Space Syntax, Visual Graph Analysis) under the premise that it is closely related to the structure of space. Results: 1) Because the south corridor that connects each department of outpatient division is located in the hierarchy center of the space, and walking density is expected to be high, guidance signs need to be organized at the place with high integration value. 2) The depth to the destination space can be estimated through J-Graph analysis. The depth means a switch of direction, and the guidance signs are needed according to the number. 3) According to visibility graph analysis, visual exposure can be different in the same hierarchy unit space according to the shape of the flat surface. Based on these data, location adjustment of signs is possible, and the improvement effect can be estimated quantitatively. Implications: Spatial structure theory can be utilized to design and evaluate sign systems, and it helps to clearly understand the improvement effect. It is desirable to specify design and estimation of sign systems in the order of J-Graph analysis${\rightarrow}$Space Syntax Theory${\rightarrow}$visibility graph analysis.