• Title/Summary/Keyword: (k, s)-generalization

Search Result 408, Processing Time 0.029 seconds

A Study of Mathematically Gifted Middle School Students' of Mathematical Thinking and the Teacher's Role in Teaching and Learning about the Central Projection and Perspective Drawing (중심사영과 투시도의 작도 학습에서 나타나는 중학교 수학영재들의 수학적 사고특성과 교사의 역할)

  • Lew, Hee Chan;Kang, Kyung Min
    • School Mathematics
    • /
    • v.15 no.4
    • /
    • pp.921-940
    • /
    • 2013
  • This study is to analyze mathematically gifted middle school students' characteristics of mathematical thinking and the teacher's role in teaching and learning about the central projection and perspective drawing. And it will help to develop teaching and learning materials for the mathematically gifted. The result of this study is as followings : mathematically gifted middle school students show the various characteristics of mathematical thinking like as intuitive insight, generalization, logical thinking & mathematical abstraction and so on, and the teacher plays roles as instructional designer, facilitator, technical assistant and counselor.

  • PDF

Perceptron-like LVQ : Generalization of LVQ (퍼셉트론 형태의 LVQ : LVQ의 일반화)

  • Song, Geun-Bae;Lee, Haing-Sei
    • Journal of the Institute of Electronics Engineers of Korea CI
    • /
    • v.38 no.1
    • /
    • pp.1-6
    • /
    • 2001
  • In this paper we reanalyze Kohonen‘s learning vector quantizing (LVQ) Learning rule which is based on Hcbb’s learning rule with a view to a gradient descent method. Kohonen's LVQ can be classified into two algorithms according to 6learning mode: unsupervised LVQ(ULVQ) and supervised LVQ(SLVQ). These two algorithms can be represented as gradient descent methods, if target values of output neurons are generated properly. As a result, we see that the LVQ learning method is a special case of a gradient descent method and also that LVQ is represented by a generalized percetron-like LVQ(PLVQ).

  • PDF

Bio-marker Detector and Parkinson's disease diagnosis Approach based on Samples Balanced Genetic Algorithm and Extreme Learning Machine (균형 표본 유전 알고리즘과 극한 기계학습에 기반한 바이오표지자 검출기와 파킨슨 병 진단 접근법)

  • Sachnev, Vasily;Suresh, Sundaram;Choi, YongSoo
    • Journal of Digital Contents Society
    • /
    • v.17 no.6
    • /
    • pp.509-521
    • /
    • 2016
  • A novel Samples Balanced Genetic Algorithm combined with Extreme Learning Machine (SBGA-ELM) for Parkinson's Disease diagnosis and detecting bio-markers is presented in this paper. Proposed approach uses genes' expression data of 22,283 genes from open source ParkDB data base for accurate PD diagnosis and detecting bio-markers. Proposed SBGA-ELM includes two major steps: feature (genes) selection and classification. Feature selection procedure is based on proposed Samples Balanced Genetic Algorithm designed specifically for genes expression data from ParkDB. Proposed SBGA searches a robust subset of genes among 22,283 genes available in ParkDB for further analysis. In the "classification" step chosen set of genes is used to train an Extreme Learning Machine (ELM) classifier for an accurate PD diagnosis. Discovered robust subset of genes creates ELM classifier with stable generalization performance for PD diagnosis. In this research the robust subset of genes is also used to discover 24 bio-markers probably responsible for Parkinson's Disease. Discovered robust subset of genes was verified by using existing PD diagnosis approaches such as SVM and PBL-McRBFN. Both tested methods caused maximum generalization performance.

The Perceptions of Parents, Family, Self, and Peers in School-Age Children: Links with Problem-Solving Behaviors and Social Preference (아동의 대인지각과 문제해결 행동 및 사회적 선호도와의 관계)

  • Hwang, Ock-Kyeung;Lee, Jea-Yeon
    • Journal of the Korean Home Economics Association
    • /
    • v.37 no.1
    • /
    • pp.91-108
    • /
    • 1999
  • The purpose of this study was to investigate the correlation between children's perceptions of interpersonal relations (parents, family, and peers) and those of self, and to examine how the perceptions are related ot problem-solving and social preference. The subjects of this study were 625 children of 5th and 6th grade in 4 primary schools in Taejon City. Results showed positive correlations among four measures of social perceptions (to parents, to family, to peer, and to self). Therefore we have found generalization among children's representations across four interpersonal domains-that is, parents, family, self, and peer. Children's problem solving-behaviors were most significantly related with parents/family domains among interpersonal relationships. In the case of boys, direct path between the perceptions of parents/family and problem solving-behavior was significant, whereas girls' perception of parent/family was associated with problem solving-behavior both directly and indirectly, through girls' perceptions of self and peer. Social preference was highly correlated with perceptions of peer and of father. This study has found that both boys' and girls' peer representations were established for the role as mediators between parents/family representations and peer ratings of social preference. These findings revealed that the impact of family representations on peer rejection was mediated by children's beliefs about their peers.

  • PDF

Improvement of learning performance and control of a robot manipulator using neural network with adaptive learning rate (적응 학습률을 이용한 신경회로망의 학습성능개선 및 로봇 제어)

  • Lee, Bo-Hee;Lee, Taek-Seung;Kim, Jin-Geol
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.3 no.4
    • /
    • pp.363-372
    • /
    • 1997
  • In this paper, the design and the implementation of the adaptive learning rate neural network controller for an articulate robot, which is being developed (or) has been developed in our Automatic Control Laboratory, are mainly discussed. The controller reduces software computational load via distributed processing method using multiple CPU's, and simplifies hardware structures by the time-division control with TMS32OC31 DSP chip. Proposed neural network controller with adaptive learning rate structure using expert's heuristics can improve learning speed. The proposed controller verifies its superiority by comparing response characteristics of conventional controller with those of the proposed controller that are obtained from the experiments for the 5 axis vertical articulated robot. We, also, present the generalization property of proposed controller for unlearned trajectory and the change of load through experimental data.

  • PDF

A Study on the Relation Characteristics between Bubble Size Distribution and Floating Time (버블의 크기별 입도분포와 부상시간과의 상관특성에 관한 연구)

  • Jeon, Gun;Park, Chul-Hwi
    • Journal of Korean Society of Environmental Engineers
    • /
    • v.39 no.5
    • /
    • pp.277-281
    • /
    • 2017
  • Lately rainfall characteristics that it rains a lot in a short space of time often occurs. Because of this meteorological phenomena, the flow rate and concentration of initial rainfall for runoff and combined sewer overflows are changed. In the case of this inlet fluctuation, the flotation method at high surface loading rate is suitable for water quality management. the flotation method is able to meet the removal rate requirements of water public zone in 5 to 10 min which is irelatively short period. For assessment and diagonision of flotation method, A/S ratio is applied until now. But unfortunately, this has some limits for evaluation standard for certification and assessment of technical diagnosis and operation. This is why there is different efficiency in the bubble distribution at the same A/S ratio. The velocity and time of floating is changed by the different bubble distributions. The floating time affects the plant volume because the time factor make size dicision. Therefore the charateristics of bubble distribution and floating time at the same A/S ratio is necessary to apply to evaluation standard for certification and assessment of technical diagnosis and operation. For generalization of the method in certification and assessment, the characteristics of bubble distribution was studied. Until recently, using the optical device and shooting live video, there are some analysis technology of the floating factors. But this kind of technology is influenced by the equipment. with this level of confidence about the results, it is difficult to apply to generalize. According this reasons, this study should be applied on experiment generalization of method about measurement of relation between bubble distribution and floating time.

G-REGULAR SEMIGROUPS

  • Sohn, Mun-Gu;Kim, Ju-Pil
    • Bulletin of the Korean Mathematical Society
    • /
    • v.25 no.2
    • /
    • pp.203-209
    • /
    • 1988
  • In this paper, we define a g-regular semigroup which is a generalization of a regular semigroup. And we want to find some properties of g-regular semigroup. G-regular semigroups contains the variety of all regular semigroup and the variety of all periodic semigroup. If a is an element of a semigroup S, the smallest left ideal containing a is Sa.cup.{a}, which we may conveniently write as $S^{I}$a, and which we shall call the principal left ideal generated by a. An equivalence relation l on S is then defined by the rule alb if and only if a and b generate the same principal left ideal, i.e. if and only if $S^{I}$a= $S^{I}$b. Similarly, we can define the relation R. The equivalence relation D is R.L and the principal two sided ideal generated by an element a of S is $S^{1}$a $S^{1}$. We write aqb if $S^{1}$a $S^{1}$= $S^{1}$b $S^{1}$, i.e. if there exist x,y,u,v in $S^{1}$ for which xay=b, ubv=a. It is immediate that D.contnd.q. A semigroup S is called periodic if all its elements are of finite order. A finite semigroup is necessarily periodic semigroup. It is well known that in a periodic semigroup, D=q. An element a of a semigroup S is called regular if there exists x in S such that axa=a. The semigroup S is called regular if all its elements are regular. The following is the property of D-classes of regular semigroup.group.

  • PDF

A Study on the Effects to 12 Kyungmaks of Body after Taichi Practice (태극권 수련이 인체 12경맥에 미치는 영향에 관한 연구)

  • Kim, Byoung-Hwa
    • Proceedings of the IEEK Conference
    • /
    • 2005.11a
    • /
    • pp.1305-1308
    • /
    • 2005
  • Recently, the basic research which is supported by engineering has been studied in order to develop oriental medicine scientifically. However, the research only has been limited to quantization, visualization and generalization of biological signal. In this paper, we studied about the effects to 12 Kyungmaks of Body based on meridian theory in oriental medicine after Taichi practice. we measured the heating time on the key measuring point of the meridian of the human body's left and right by using heating machine. After taichi practice than other stimulation, experimental results showed that disharmony state of meridian had changed to harmony state more quickly.

  • PDF

On Information Theoretic Index for Measuring the Stochastic Dependence Among Sets of Variates

  • Kim, Hea-Jung
    • Journal of the Korean Statistical Society
    • /
    • v.26 no.1
    • /
    • pp.131-146
    • /
    • 1997
  • In this paper the problem of measuring the stochastic dependence among sets fo random variates is considered, and attention is specifically directed to forming a single well-defined measure of the dependence among sets of normal variates. A new information theoretic measure of the dependence called dependence index (DI) is introduced and its several properties are studied. The development of DI is based on the generalization and normalization of the mutual information introduced by Kullback(1968). For data analysis, minimum cross entropy estimator of DI is suggested, and its asymptotic distribution is obtained for testing the existence of the dependence. Monte Carlo simulations demonstrate the performance of the estimator, and show that is is useful not only for evaluation of the dependence, but also for independent model testing.

  • PDF

ON WEAKLY-BERWALD SPACES OF SPECIAL (α, β)-METRICS

  • Lee, Il-Yong;Lee, Myung-Han
    • Bulletin of the Korean Mathematical Society
    • /
    • v.43 no.2
    • /
    • pp.425-441
    • /
    • 2006
  • We have two concepts of Douglas spaces and Lands-berg spaces as generalizations of Berwald spaces. S. Bacso gave the definition of a weakly-Berwald space [2] as another generalization of Berwald spaces. In the present paper, we find the conditions that the Finsler space with an (${\alpha},{\beta}$)-metric be a weakly-Berwald space and the Finsler spaces with some special (${\alpha},{\beta}$)-metrics be weakly-Berwald spaces, respectively.