• Title/Summary/Keyword: reflexive

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Strong Convergence of a Bregman Projection Method for the Solution of Pseudomonotone Equilibrium Problems in Banach Spaces

  • Olawale Kazeem Oyewole;Lateef Olakunle Jolaoso;Kazeem Olalekan Aremu
    • Kyungpook Mathematical Journal
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    • v.64 no.1
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    • pp.69-94
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    • 2024
  • In this paper, we introduce an inertial self-adaptive projection method using Bregman distance techniques for solving pseudomonotone equilibrium problems in reflexive Banach spaces. The algorithm requires only one projection onto the feasible set without any Lipschitz-like condition on the bifunction. Using this method, a strong convergence theorem is proved under some mild conditions. Furthermore, we include numerical experiments to illustrate the behaviour of the new algorithm with respect to the Bregman function and other algorithms in the literature.

Abnormal Eye Movements in Patients with Dementia (치매 환자에서 나타나는 비정상적인 안구운동)

  • Kim, Hyun;Lee, Kang-Joon
    • Korean Journal of Psychosomatic Medicine
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    • v.15 no.2
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    • pp.73-80
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    • 2007
  • Anumber of prior studies have reported eye movement dysfunction in patients with dementia. The eye movement test which is non-invasive can evaluate the local brain function quantitatively. Therefore, it can be a useful method for characterizing regional brain abnormalities of patients with dementia. The aim of this paper is to review the literatures on eye movement abnormalities in dementia patients. Saccade system dysfunctions in Alzheimer disease include increased latency, reduced accuracy, and increased antisaccade error rates. Patients with frontotemporal dementia showed impaired reflexive saccade inhibition and increased latency and errors of antisaccade task. And delayed initiation of voluntary saccades, slow saccades, and increased errors and latency on antisaccade task were found in Huntington's disease. Patients with Parkinson’s disease dementia and dementia with Lewy bodies have characteristics of impaired in both reflexive saccade execution and complex saccade performance. However, there were few reports of abnormal eye movements in Creutzfeldt-Jakob disease; they could be found at the later stages after symptoms of dementia came to be evident, and secondary to cerebellar and vestibular involvement. Slowing of saccades and hypometric saccades might precede the supranuclear limitation of vertical gaze in PSP. Dysfunction of voluntary eyelid movements was a characteristic finding of PSP as well. In conclusion, patients with dementia can show various abnormal eye movements and they are related with cortial and subcortical brain dysfunctions. The research on localization of brain relevant to each symptom can promise more clinical implications of eye movement of dementia.

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A study on Media Characteristics of Stage Space in Middle Age and Renaissance Theater (중세(中世)와 르네상스 극장(劇場) 무대공간(舞臺空間)의 미디어적 특성에 관한 연구)

  • Kim, Sung-Kee;Park, Eun-Kon
    • Journal of architectural history
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    • v.15 no.1 s.45
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    • pp.61-76
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    • 2006
  • The stage is ceremonial and legendary space unlike the ordinary world. Performance is not simply scrip-staged, but spatial art based on tempo that transmits extreme condition. The stage art is a visual art combined with stage settings, lighting, customs and the like. I exemplify the stage of Middle Age and Renaissance in the history of the art of public performance and so I review that what meditative functions each stage perform and that as what pattern of media it can be conceptualized. In this thesis, I divide the places of public performance Into the spaces of proscenium and polygon and also set up the concepts of hot and cool that McLuhan presents for each space. So, the degree of participation could be different according to the distinction of quantity of information, which is communication following the patterns of spaces. The basis of public performance might be the communication between co-actors and audiences. Since the sense of the art of public performance is the art in the process of establishing the meaning based on the communication with co-actors, it is not a confirmed and fixed one, but rather a reflexive one that can be created and changed continuously. Therefore, audiences should be regarded as the subjects, who are making the art of public performance with co-actors.

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Learning Mathematics with CAS Calculators: Integration and Partnership Issues (CAS계산기를 활용한 수학학습)

  • Thomas Michael O. J.;Hong Ye Yoon
    • Journal of Educational Research in Mathematics
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    • v.15 no.2
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    • pp.215-232
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    • 2005
  • Computer algebra system (CAS) calculators are becoming increasingly common in schools and universities. While Hey offer quite sophisticated mathematical capability to teachers and students, it is not clear at present how they may best be employed. In particular their integration into students' learning and problem-solving remains an issue. In this paper we address this issue through the lens of a study that considered the introduction of the TI-89 CAS calculator to students about to enter university. We describe a number of different aspects of the partnership they formed with the calculator as they began the process of instrumentation of the CAS in their learning.

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The Study of the Content-oriented Spatial Design Trends - Based on the characteristic of "matter" in space - (콘텐츠 중심의 공간디자인 경향에 관한 연구 - 공간의 질료적 특성을 중심으로 -)

  • Park, Young-Tae
    • Korean Institute of Interior Design Journal
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    • v.18 no.2
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    • pp.3-15
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    • 2009
  • In the swirl of change in the world, Media, the development of information technology, and the enterprise-oriented capitalism have tied the world as one unit, and have entered the period of adaptation. With the view of introspection of these concepts, this paper is mainly written by the theory of "matter as the content" with exploration of the design of essence and scientific approach. The design process is the condensational process which is developed by the exchange of reason and sensibility. This process, which is characterized by the objective manipulation of a given condition and the intervention of extrapolation, is the new way of thinking and approach rather than the concept of the way and means. The research of this paper is based on paintings and the analysis of essential experiments in design, the definition of the terms of content in the view of philosophy and design, and the analysis of the cases in architecture and spacial design. As a result, this paper shows that these designs are not just "Simulacre" but the essential eidos, and "content" is the core of these designs which can produce prototype as machine. Also, these designs can relatively be the persuasive methodology for the reflexive modernization.

Effects on intraventricular norepinephrine on blood pressure and heart rate of rabbits (측뇌실내(側腦室內) Norepinephrine의 가토심박(家兎深博) 급(及) 혈압(血壓)에 미치는 영향(影響))

  • Shin, Seung-Ho
    • The Korean Journal of Pharmacology
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    • v.1 no.1 s.1
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    • pp.53-61
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    • 1965
  • Effects of intraventricular norepinephrine (NE) on rabbit blood pressure and heart rate were investigated. 1) Blood pressure was little affected by small doses of NE (below $500{\mu}g$) but showed marked rise by 1 mg. 2) Heart rate was decreased by intraventriccular NE $(200{\sim}500{\mu}g)$. One mg of NE caused less pronounced bradycardia than with smaller doses. The bradycardia could not be observed in vagotomized or atropinized animals. 3) Intraventricular NE potentiated reflexive bradycardia produced by 5-hydroxytryptamine. 4) Cord-sectioned rabbit showed different responses; the smaller doses $(100{\sim}200{\mu}g)$ produced transitory bradycardia and depression of blood pressure, which followed by tachycardia and pressure rise. The transitory bradycardia and depressor effects were not observed in cord-sectioned and vagotomized rabbit. 5) Treatment of animals with reserpine, guanethidine and hexamethonium changed the effects of intraventricular NE on blood pressure, i.e., in these cases the smaller doses of NE caused maked elevation of blood pressure. 6) From these observations it was inferred that central NE caused stimulation of cardioinhibitory and vasomotor center. The former seemed to be more sensitive to NE than the latter. Susceptibility of the vasomotor center to NE seemed to be influenced by peripheral sympathetic tone.

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STRONG CONVERGENCE OF COMPOSITE ITERATIVE METHODS FOR NONEXPANSIVE MAPPINGS

  • Jung, Jong-Soo
    • Journal of the Korean Mathematical Society
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    • v.46 no.6
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    • pp.1151-1164
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    • 2009
  • Let E be a reflexive Banach space with a weakly sequentially continuous duality mapping, C be a nonempty closed convex subset of E, f : C $\rightarrow$C a contractive mapping (or a weakly contractive mapping), and T : C $\rightarrow$ C a nonexpansive mapping with the fixed point set F(T) ${\neq}{\emptyset}$. Let {$x_n$} be generated by a new composite iterative scheme: $y_n={\lambda}_nf(x_n)+(1-{\lambda}_n)Tx_n$, $x_{n+1}=(1-{\beta}_n)y_n+{\beta}_nTy_n$, ($n{\geq}0$). It is proved that {$x_n$} converges strongly to a point in F(T), which is a solution of certain variational inequality provided the sequence {$\lambda_n$} $\subset$ (0, 1) satisfies $lim_{n{\rightarrow}{\infty}}{\lambda}_n$ = 0 and $\sum_{n=0}^{\infty}{\lambda}_n={\infty}$, {$\beta_n$} $\subset$ [0, a) for some 0 < a < 1 and the sequence {$x_n$} is asymptotically regular.

CONVERGENCE OF APPROXIMATING FIXED POINTS FOR MULTIVALUED NONSELF-MAPPINGS IN BANACH SPACES

  • Jung, Jong Soo
    • Korean Journal of Mathematics
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    • v.16 no.2
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    • pp.215-231
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    • 2008
  • Let E be a uniformly convex Banach space with a uniformly $G{\hat{a}}teaux$ differentiable norm, C a nonempty closed convex subset of E, and $T:C{\rightarrow}{\mathcal{K}}(E)$ a multivalued nonself-mapping such that $P_T$ is nonexpansive, where $P_T(x)=\{u_x{\in}Tx:{\parallel}x-u_x{\parallel}=d(x,Tx)\}$. For $f:C{\rightarrow}C$ a contraction and $t{\in}(0,1)$, let $x_t$ be a fixed point of a contraction $S_t:C{\rightarrow}{\mathcal{K}}(E)$, defined by $S_tx:=tP_T(x)+(1-t)f(x)$, $x{\in}C$. It is proved that if C is a nonexpansive retract of E and $\{x_t\}$ is bounded, then the strong ${\lim}_{t{\rightarrow}1}x_t$ exists and belongs to the fixed point set of T. Moreover, we study the strong convergence of $\{x_t\}$ with the weak inwardness condition on T in a reflexive Banach space with a uniformly $G{\hat{a}}teaux$ differentiable norm. Our results provide a partial answer to Jung's question.

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A Study on the Educational Meaning of an Undergraduate Student's Environmental Club Experience (대학생 환경동아리 활동의 교육적 의미)

  • Joo, Hyung-Seon;Kim, Jong-Wook
    • Hwankyungkyoyuk
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    • v.18 no.2 s.27
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    • pp.66-75
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    • 2005
  • This study investigates an undergraduate student's environmental club experience by employing a biographical research method. The informant has been member of the environmental club since he is a freshman. The purpose of this study is three points. First, which theoretical framework is suitable to explain the characteristics of environmental club experience ? Second, what is the characteristics of the informant's environmental club experience analysed by means of the theoretical framework ? Finally, what is the educational meaning of environmental club experience ? As a result, I find that environmental identity is very powerful framework to explain the characteristics of environmental club experience. Also, I explain the informant's environmental club experience as the formation of environmental identity by changes in three aspects. In the informant's life, cultural world of environment/environmental movement becomes salient which is closely connected with development of agency in the world and understanding how environmental problems can be solved. It is argued that environmental club experience has educational meaning in the studies and practices of environmental education, as follows. Environmental club experience has implications of redefining the goals of environmental education, and improving environmental problem solving learning. Finally, the informant's environmental identity is considered as reflexive identity which is formed through personal reflection of his experience.

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외식산업의 마케팅 운영방안에 관한 연구 -호텔 식음료를 중심으로-

  • 우성근
    • Journal of Applied Tourism Food and Beverage Management and Research
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    • v.8
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    • pp.179-195
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    • 1997
  • Today's hotel cannot be defined merely as a place of providing food and lodgin. It must be a high level cultural ground serving as a place of rest for the people and as a place of art, culture and communication for the local community. Although each hotel has its own distinctiveness it must share a unified services and product sales strategies with one another in order to raise each other's sales values. The service is evaluated on the basis of the customer's own living standard and social class. There ought to be variety of personal and material services taking the sophistication and complexity of the customer's needs into onsideration. More effective marketing strategy is called for upon knowing such sales strategy and service marketing of the hotel management. Hotel's food marketing must take into consideration the product's simulaneous and vanishing qualities, its dependency upon ordering and its relationship to human services industries. Methods of increasing profit and customer satisfaction management need to be made. Especially the changes in the customer's tourist mind set and eat-out behavior play as important variabls, and the management needs to be reflexive enough to respond quickly to those changes.

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