• Title/Summary/Keyword: regular functions

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The Effect of Using Graphing Calculators on Students' Understanding Functions and Attitudes Towards Mathematics and Graphing Calculators

  • Kwon, Oh-Nam;Kim, Min-Kyeong
    • Research in Mathematical Education
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    • v.4 no.1
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    • pp.1-22
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    • 2000
  • The purpose of this study was to investigate the effects of using graphing calculators on students' understanding of the linear and quadratic function concepts. The populators of this study are tenth graders at high school in Seoul, one class for the treatment group and another class for the comparison group, and experiment period is 14 weeks including two weeks for school regular exams.Function tests used in the study was proposed which described a conceptual knowledge of functions in terms of the following components: a) Conceptual understanding, b) Interpreting a function in terms of a verbal experission, c) Translating between different representations of functions, and d) Mathematical modeling a real-world situation using functions. Even though the group test means of the individual components of conceptual understanding, interpreting, translating, mathematical modeling did not differ significantly, there is evidence that the two groups differed in their performance on conceptual understanding. It was shown that students learned algebra using graphing calculators view graphs more globally. The attitude survey assessed students' attitudes and perceptions about the value of mathematics, the usefulness of graphs in mathematics, mathematical confidence, mathematics anxiety, and their feelings about calculators. The overall t-test was not statistically significant, but the students in the treatment group showed significantly different levels of anxiety toward mathematics.

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Finding Pseudo Periods over Data Streams based on Multiple Hash Functions (다중 해시함수 기반 데이터 스트림에서의 아이템 의사 주기 탐사 기법)

  • Lee, Hak-Joo;Kim, Jae-Wan;Lee, Won-Suk
    • Journal of Information Technology Services
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    • v.16 no.1
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    • pp.73-82
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    • 2017
  • Recently in-memory data stream processing has been actively applied to various subjects such as query processing, OLAP, data mining, i.e., frequent item sets, association rules, clustering. However, finding regular periodic patterns of events in an infinite data stream gets less attention. Most researches about finding periods use autocorrelation functions to find certain changes in periodic patterns, not period itself. And they usually find periodic patterns in time-series databases, not in data streams. Literally a period means the length or era of time that some phenomenon recur in a certain time interval. However in real applications a data set indeed evolves with tiny differences as time elapses. This kind of a period is called as a pseudo-period. This paper proposes a new scheme called FPMH (Finding Periods using Multiple Hash functions) algorithm to find such a set of pseudo-periods over a data stream based on multiple hash functions. According to the type of pseudo period, this paper categorizes FPMH into three, FPMH-E, FPMH-PC, FPMH-PP. To maximize the performance of the algorithm in the data stream environment and to keep most recent periodic patterns in memory, we applied decay mechanism to FPMH algorithms. FPMH algorithm minimizes the usage of memory as well as processing time with acceptable accuracy.

Statistical interpolation of meteorological data (기상자료의 통계내삽)

  • 이동규
    • The Korean Journal of Applied Statistics
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    • v.5 no.2
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    • pp.113-121
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    • 1992
  • Statistical interpolation which uses past experience about the behaviour of the atmosphere(correlation function) to interpolate the observations irregularly distributed in space and time to regular grids is discussed. Correlation functions are computed in the Far East Asian region during the winter periods of December 1977 to February 1980. Results show from the computation of correlation functions that there exists a large difference in the autocorrelation functions by slowly decreasing geopotential height and temperature, and rapidly decreasing wind and mixing ratio with increasing data-correlation functions between geopotential height and wind are well corresponed to persistence of wintertime synoptic features.

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Health Conditions, Activities of Daily Living, Depression, Sleep, and Cognitive Functions of the Elderly at Care Facilities and Their Related Factors (요양시설 노인들의 건강상태, 일상생활수행능력, 우울, 수면과 인지기능정도와 관련요인)

  • Kim, Jong-Im
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.11
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    • pp.463-473
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    • 2016
  • The purpose of this study was to investigate the relations between the cognitive functions, health conditions, activities of daily living, depression and sleep states among the elderly at care facilities. The subjects include 204 elderly people aged 65. The data collected were analyzed using descriptive statistics, the t-test, ANOVA, Pearson correlation, and hierarchical multiple regression. The findings show that the cognitive functions of the elderly at care facilities are related to their engagement in regular exercise, duration of residency, grade of care, lack of physical freedom, listening ability, state of teeth, urinary incontinence, activities of daily living, and state of sleep. Their cognitive functions had positive correlations with activities of daily living and negative correlations with state of sleep. Their cognitive impairment was significantly influenced by their engagement in regular exercise, duration of residency, grade of care, listening ability, ADL, IAD dependency, and sleep disorder. In short, the cognitive functions of the elderly at care facilities are highly related to their health conditions as perceived and felt by them. It is thus required to develop, apply, and consistently assess and manage cognitive rehabilitation training programs to provide interventions for the factors that influence their cognitive impairment.

Test Case Generation of Communication Protocol with Regular Expressions (정규표현식을 이용한 통신 프로토콜의 최소 시험 경로 생성)

  • 김한경
    • Journal of Internet Computing and Services
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    • v.2 no.1
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    • pp.1-11
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    • 2001
  • Though it is proposed to use Petri net or dynamic FSM methods for the generation of test sequences on some specific protocols, those methods ere unavailable on the cases where the protocol allows faults processing or includes paths in looping which cause errors or endless looping by the explosion of states. The determination of test coverage on the protocol software that has been designed and implemented is difficult by the reason of development periods, technical solutions to support and also economical limitations. It is suggested to generate timely protocol software test sequences on the basis of regular expressions covering the functions of protocol. With this regular expression method, the 38 test sequences of Q.2971 protocol has been generated and also minimized the endless looping problem when dynamic test suites are used by simplifying the test path expressions that denotes loops, According to the works, the suggested method is confirmed as simple and easy compare to the other dynamic test sequence generation techniques. Moreover. the method to search an optional test path whether it Is included or not in the regular path expression is reviewed.

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ON THE SEPARATING IDEALS OF SOME VECTOR-VALUED GROUP ALGEBRAS

  • Garimella, Ramesh V.
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.737-746
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    • 1999
  • For a locally compact Abelian group G, and a commutative Banach algebra B, let $L^1$(G, B) be the Banach algebra of all Bochner integrable functions. We show that if G is noncompact and B is a semiprime Banach algebras in which every minimal prime ideal is cnotained in a regular maximal ideal, then $L^1$(G, B) contains no nontrivial separating idal. As a consequence we deduce some automatic continuity results for $L^1$(G, B).

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Camparision and Analysis about the Weighted-Ordinate Colorimetric Method and the Direct Colorimetric Method of Halftone Dot Printing Colors (망점색인쇄물의 분광측색법과 자극치직독측색법에 대한 비교분석)

  • SangNamLee
    • Journal of the Korean Graphic Arts Communication Society
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    • v.6 no.1
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    • pp.13-39
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    • 1988
  • Test colors are halftone dot printed at the rate of 10% halftone dot area by process inksblack, cyan, magenta and yellow ink. Reproduced colors are measured by the weighted-ordinate colorimetric method and the direct colorimetric method. The weighted-ordinate colorimetric method compare favorably with the direct colorimetric method, because the former has good regular changes of tristimuIus values, chromacity coordinates, excitation purities, value functions and has smaller errors of dominant and complementary wavelengths than the latter. All test colors classify with the Munsell renotation.tation.

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POLYNOMIAL GROWTH HARMONIC MAPS ON COMPLETE RIEMANNIAN MANIFOLDS

  • Lee, Yong-Hah
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.3
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    • pp.521-540
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    • 2004
  • In this paper, we give a sharp estimate on the cardinality of the set generating the convex hull containing the image of harmonic maps with polynomial growth rate on a certain class of manifolds into a Cartan-Hadamard manifold with sectional curvature bounded by two negative constants. We also describe the asymptotic behavior of harmonic maps on a complete Riemannian manifold into a regular ball in terms of massive subsets, in the case when the space of bounded harmonic functions on the manifold is finite dimensional.

VARIATIONAL PRINCIPLE FOR QUANTUM UNBOUNDED SPIN SYSTEMS

  • Choi, S.D.;Jo, S.G.;Kim, H.I.;Lee, H.H.;Yoo, H.J.
    • Journal of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.579-592
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    • 2000
  • We study the variational principle for quantum unbounded spin systems interacting via superstable and regular interactions. We show that the (weak) KMS state constructed via the thermodynamic limit of finite volume Green's functions satisfies the Gibbs variational equality.

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A Robust Learning Algorithm for System Identification (외란을 포함한 학습 데이터에 강인한 시스템 모델링)

  • 한상현;윤중선
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.200-200
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    • 2000
  • Highly nonlinear dynamical systems are easily identified using neural networks. When disturbances are included in the learning data set Int system modeling, modeling process will be poorly performed. Since the radial basis functions in the radial basis function network(RBFN) are centered at the points specified by the weights, RBF networks are robust for approximating the process including the narrow-band disturbances deviating significantly from the regular signals. To exclude(filter) these disturbances, a robust algorithm for system identification, based on the RBFN, is proposed. The performance of system identification excluding disturbances is investigated and compared with the one including disturbances.

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