• Title/Summary/Keyword: convergence theory

Search Result 1,265, Processing Time 0.023 seconds

Convergence Learning Program based on Childhood's Sociopsychological Development and Design Thinking

  • Kim, Sunyoung
    • International Journal of Advanced Culture Technology
    • /
    • v.8 no.2
    • /
    • pp.176-183
    • /
    • 2020
  • This study inquired about the convergence learning program for childhood based on Erikson's play theory and design education for children's behavior development. I analyzed the convergence learning programs of Summer Camps in the Pacific Science Center, Galileo Learning. The contents of the programs show the most used imaginary and symbolic contents that represent the real-world problems which are related design thinking process. The curriculums and structure of the programs are based on the design thinking method and K-12 theory. The visual thinking method and the applications are used for expressing their creativity and approaching the technical skills easily. The play concept theory is an affirmative way to strengthen the children's psychological and social development. Therefore, the convergence learning program should integrate the design thinking process and apply the play concept theory for supporting and developing the children's behavior.

HYPO-CONVERGENCE OF SEQUENCES OF FUZZY SETS AND MAXIMIZATION

  • Tortop, Sukru;Dundar, ErdInC
    • Honam Mathematical Journal
    • /
    • v.44 no.3
    • /
    • pp.461-472
    • /
    • 2022
  • In optimization theory, hypo-convergence is considered as an effective tool by providing the convergence of supremum values under some conditions. This feature makes it different from other types of convergence. Therefore, we have defined the hypo-convergence of a sequence of fuzzy sets due to the increasing interest in fuzzy set theory in recent years. After giving a theoretical framework, we deal with the optimization process by using a sequential characterization of hypo-convergence of sequence of fuzzy sets. Since the maximization process in optimization theory is beyond the presence of hypo-convergence, we give some conditions to satisfy the convergence of supremum values. Furthermore, we show how sequence of fuzzy sets and fuzzy numbers differ in the convergence of the supremum values.

NEW CONVERGENCE CONDITIONS OF SECANT METHODS VIA ALPHA THEORY

  • KIM, S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • v.5 no.2
    • /
    • pp.101-115
    • /
    • 2001
  • Recent theoretical analysis of numerical methods for solving nonlinear systems of equations is represented by alpha theory of Newton method developed Smale et al. The theory was extended to Secant method by providing convergence conditions by Yakoubsohn which the Secant method is treated as an operator defined for analytical functions. We use Secant methods as an iterative scheme with approximations, which results in new convergence conditions. We compare the two conditions and show that the new conditions represent the features of Secant method in a more precise way.

  • PDF

CONVERGENCE RATE OF CONVOLUTION TYPE DELTA SEQUENCE IN HIGHER DIMENSION

  • SHIM HONG TAE;PARK CHIN HONG
    • Journal of applied mathematics & informatics
    • /
    • v.17 no.1_2_3
    • /
    • pp.701-707
    • /
    • 2005
  • Delta sequences play an important role in convergence and approximation theory. Much of classical approximation theory is based on delta sequence. The rate of convergence of certain types of these sequences in Sobolev spaces has recently been studied. Here we estimate convergence rate of convolution type delta sequence in higher dimension.

STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES OF COMPLEX UNCERTAIN VARIABLES

  • DATTA, DEBASISH;TRIPATHY, BINOD CHANDRA
    • Journal of applied mathematics & informatics
    • /
    • v.40 no.1_2
    • /
    • pp.191-204
    • /
    • 2022
  • This paper introduces the statistical convergence concepts of double sequences of complex uncertain variables: statistical convergence almost surely(a.s.), statistical convergence in measure, statistical convergence in mean, statistical convergence in distribution and statistical convergence uniformly almost surely(u.a.s.).

Do We Have to Teach Intelligent Design along with Evolution in Public Schools? (학교에서 진화론과 함께 지적설계론도 가르쳐야 하는가)

  • Song, Kwang-Han
    • Journal of the Korea Convergence Society
    • /
    • v.9 no.8
    • /
    • pp.185-198
    • /
    • 2018
  • This paper was written for the purpose of using as the theoretical basic data of judgment in the situation that there is a growing demand for intelligent design theory to be taught in public schools along with evolution theory. In order to verify the possibility that intelligent design theory, which has little empirical evidence unlike evolutionary theory, could be a scientific theory, what intelligence is and whether the trace of intelligence is actually found in nature was confirmed through literature. If intelligent elements, which are traces of intelligence in nature, are discovered empirically in nature, then intelligent design theory can be recognized as a scientific theory and can also be taught in public schools. The identity and traces of intelligence were found in relevant literature and the traces are found not only in various artificial products derived from human beings such as thinking, knowledge, and civilization, but also in all phenomena of nature. Based on these results, this paper provides a discussion on how the evolutionary theory and intelligent design theory should be handled in the field of school education, as well as how to resolve the conflicts between evolutionary theory and intelligent design theory.

확률의 상관 빈도이론과 포퍼

  • Song, Ha-Seok
    • Korean Journal of Logic
    • /
    • v.8 no.1
    • /
    • pp.23-46
    • /
    • 2005
  • The purpose of the paper Is to discuss and estimate early Popper's theory of probability, which is presented in his book, The Logic of of Scientific Discovery. For this, Von Mises' frequency theory shall be discussed in detail, which is regarded as the most systematic and sophisticated frequency theory among others. Von Mises developed his theory to response to various critical questions such as how finite and empirical collectives can be represented in terms of infinite and mathematical collectives, and how the axiom of randomness can be mathematically formulated. But his theory still has another difficulty, which is concerned with the inconsistency between the axiom of convergence and the axiom of randomness. Defending the objective theory of probability, Popper tries to present his own frequency theory, solving the difficulty. He suggests that the axiom of convergence be given up and that the axiom of randomness be modified to solve Von Mises' problem. That is, Popper introduces the notion of ordinal selection and neighborhood selection to modify the axiom of randomness. He then shows that Bernoulli's theorem is derived from the modified axiom. Consequently, it can be said that Popper solves the problem of inconsistency which is regarded as crucial to Von Mises' theory. However, Popper's suggestion has not drawn much attention. I think it is because his theory seems anti-intuitive in the sense that it gives up the axiom of convergence which is the basis of the frequency theory So for more persuasive frequency theory, it is necessary to formulate the axiom of randomness to be consistent with the axiom of convergence.

  • PDF

Asymptotic Theory for Multi-Dimensional Mode Estimator

  • Kim, Jean-Kyung
    • Journal of the Korean Statistical Society
    • /
    • v.23 no.2
    • /
    • pp.251-269
    • /
    • 1994
  • In this paper we extend Kim and Pollard's cube root asymptotics to other rates of convergence, to establish an asymptotic theory for a multidimensional mode estimator based on uniform kernel with shrinking bandwidths. We obtain rates of convergence depending on shrinking rates of bandwidth and non-normal limit distributions. Optimal decreasing rates of bandwidth are discussed.

  • PDF

A Study on the Convergence Policy of Broadcasting and Telecommunication in IPTV Convergence Service with Reference to Rent Seeking Theory (방송과 통신정책, IPTV 융합정책의 지대추구론적 분석 : 지대추구의 효율성 분석을 중심으로)

  • Lee, Sang-Ho;Kim, Jai-Beom
    • Journal of Information Technology Applications and Management
    • /
    • v.14 no.3
    • /
    • pp.199-225
    • /
    • 2007
  • This study deals with the regulatory policy of government on the convergence of broadcasting and telecommunication by applying rent seeking theory to Internet Protocal TV (IPTV). Existing literature has mainly focused on the negative implications of rent seeking since Tullock [1967], Krueger [1974] and Buchanan [1980]. We have investigated the regulatory policy along with the progress of the convergence of broadcasting and telecommunication. Regulatory policy on broadcasting, despite its impartial intent. has created the entry barrier in the industry, resulting in high rents. Meanwhile, regulatory policy in telecommunication is more geared by the encouragement of more competitive environments, resulting in reasonably low rents in the market. Regulatory policy in the age of convergence needs to improve the efficacy of the industry and welfare, while maintaining the rent at a reasonably low level. This research has contributed to emphasizing the positive aspect of rent seeking in policy concerned with the convergence of broadcasting and telecommunication, notably IPTV.

  • PDF

Challenges and Growth in Convergence Research: A Grounded Theory Qualitative Analysis of Researchers' Experience and Perception (융합연구에서의 도전과 성장: 연구자의 경험과 인식에 대한 근거이론 질적 분석)

  • Song, In Han;You, Jung Won;Lee, Eun Jung;Kim, Ji Eun
    • Journal of the Korea Convergence Society
    • /
    • v.8 no.8
    • /
    • pp.267-281
    • /
    • 2017
  • Despite the recent importance of interdisciplinary convergence research, little has been studied on the detailed experience while conducting convergence research in Korea. To deeper understand challenges and overcoming in convergence research and to suggest an administrative system for it, by analyzing researchers experience and cognition while conducting their actual convergence research, in-depth interviews with 16 full-time faculty members with expertise in convergence research and research administration in a university and analyzed the interviews by using the paradigm model of grounded theory. The results show that the core phenomenon researchers experienced is that "convergence research is not being effectively conducted," and they experience growth in research through pursuing efforts and improving research atmosphere in various aspects. Based on these findings, we made several suggestions for promoting convergence research.