• 제목/요약/키워드: Class Continuity

검색결과 93건 처리시간 0.026초

CONTINUITY OF JORDAN *-HOMOMORPHISMS OF BANACH *-ALGEBRAS

  • Draghia, Dumitru D.
    • 대한수학회보
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    • 제30권2호
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    • pp.187-191
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    • 1993
  • In this note we prove the following result: Let A be a complex Banach *-algebra with continuous involution and let B be an $A^{*}$-algebra./T(A) = B. Then T is continuous (Theorem 2). From above theorem some others results of special interest and some well-known results follow. (Corollaries 3,4,5,6 and 7). We close this note with some generalizations and some remarks (Theorems 8.9.10 and question). Throughout this note we consider only complex algebras. Let A and B be complex algebras. A linear mapping T from A into B is called jordan homomorphism if T( $x^{1}$) = (Tx)$^{2}$ for all x in A. A linear mapping T : A .rarw. B is called spectrally-contractive mapping if .rho.(Tx).leq..rho.(x) for all x in A, where .rho.(x) denotes spectral radius of element x. Any homomorphism algebra is a spectrally-contractive mapping. If A and B are *-algebras, then a homomorphism T : A.rarw.B is called *-homomorphism if (Th)$^{*}$=Th for all self-adjoint element h in A. Recall that a Banach *-algebras is a complex Banach algebra with an involution *. An $A^{*}$-algebra A is a Banach *-algebra having anauxiliary norm vertical bar . vertical bar which satisfies $B^{*}$-condition vertical bar $x^{*}$x vertical bar = vertical bar x vertical ba $r^{2}$(x in A). A Banach *-algebra whose norm is an algebra $B^{*}$-norm is called $B^{*}$-algebra. The *-semi-simple Banach *-algebras and the semi-simple hermitian Banach *-algebras are $A^{*}$-algebras. Also, $A^{*}$-algebras include $B^{*}$-algebras ( $C^{*}$-algebras). Recall that a semi-prime algebra is an algebra without nilpotents two-sided ideals non-zero. The class of semi-prime algebras includes the class of semi-prime algebras and the class of prime algebras. For all concepts and basic facts about Banach algebras we refer to [2] and [8].].er to [2] and [8].].

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서양 역사복식에 나타난 과장적 헤어스타일의 미적 특성 연구 (A Study on the Aesthetic Characteristics of Exaggerated Hairstyle in the Western Costume)

  • 이연희;성광숙
    • 복식
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    • 제65권8호
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    • pp.110-124
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    • 2015
  • This study examined a phenomenon of exaggerated hairstyle in the history of Western custom through publications related with Western costume and research papers. By adopting the criteria of Delong, M. R. to analyze visual forms shown by interaction between human body and costume worn over the body, it analyzed the formative characteristics by the interaction between hairstyle and costume. In addition, it inferred the aesthetic characteristics through content analysis of examined phenomenon focusing on socio-cultural background and costume socio-psychological precedent studies. Formative characteristics of exaggerated hairstyle applied by analysis criteria of Delong, M. R. were in pursuit of the emphasis style. This was clearly and intensively recognized by forming spaces for mostly closure style, part style, three dimensional style, determinate style, and space separation style. Regarding the interaction between hair and ornamentations, 'precedence of ornamentation' was pursued as ornamentations were recognized earlier than the hair itself. It means associative meanings of the surface effect were accompanied by emotions of 'intensiveness' and the pursuit of the attractive style. As for the interaction between hairstyle and costume, there were many cases of pursuing 'continuity' mutually and visually by connecting the hairstyle and the costume. Aesthetic characteristics of exaggerated hairstyle were inferred as 1) the expression of the sprite of the age(i.e. art, culture, politics, society, ideology, religion), 2) symbols of wealth, class, authority, and excellence, 3) pursuit of addicted desire to ornament, and 4) harmony through continuity with costume. This study verified that hairstyle was connected as a part of costume, or formed as a way to express deeper human psychology beyond just a part of a costume. It was also confirmed that hairstyle was an expressive method to express the spirit of the age, such as art, culture, society, religion, ideology.

잉즈의 베이징 노스탤지어 서사에 관한 고찰 - 린하이인(林海音) 소설집과 우이궁(吳貽弓) 동명 영화 『베이징 남쪽의 옛 이야기(城南舊事)』를 중심으로 (A Study on Yingzi's Narration of Nostalgia for Peking - Based on Linhaiyin's Novel ChengnanJiushi and Wuyigong's Film of the Same Title)

  • 김수진
    • 비교문화연구
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    • 제37권
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    • pp.31-49
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    • 2014
  • Peking has peculiar features as capital city, and has gone through various transformations, with its name changed from Peking to Peiping to Peking. Even when it did not serve as a capital city, it still played an unrivaled role in cultural aspects. Laoshe, a great writer of 'Peking flavour' literature, is famous for works full of cultural charms of Peking. In his works, which show the manners, norms, art, culture and optimistic life style of Peking, Peking culture is described as an extension of cultural traditions of Qiren. In addition, his critical view of reality is also expressed in the works. Linhaiyin's literary works show ordinary hutongs she experienced in the 1920s in Chengnan, the southern part of Peking, and the quiet and simple life of warm-hearted people living there. Her vague memories of Peking, along with her nostalgia for the city, let her describe the city with recreated happy memories of it instead of the harsh critical view. Her works express the city in her recreated memory full of hope, with her dark memories of the city being glossed over. As seen above, Laoshe realistically described the tragic and difficult life of low class people in hutongs of Peking as well as lower middle class people of the city. Meanwhile, in ChengnanJiushi, Linhaiyin expresses the daily routine and ordinary life of people in Peking from the perspective of middle class people. In addition, she showed the sympathetic view of middle class citizens towards their low-class neighbors. In Peking Menghualu, Wangdewei mentioned that the 'castle of memory' which old Peking people in Taiwan tried to establish fills an important gap for the continuity of Peking cultural history and cultural imagination. This indicates that the 'Peking castle of memories,' which Linhaiyin, a Taiwanese writer well known for 'Peking flavour,' has established plays a big role in filling part of such gap. ChengnanJiushi, Wuyigong's film based on Linhaiyin's novel of the same title, also describes the daily sceneries and culture of the southern Peking in the 1920s, which both Taiwanese and Chinese people miss, through sophisticated images with 'profound yearning tinted with calm sadness', accomplishing an artistic achievement different from that of the novel.

TWO POINTS DISTORTION ESTIMATES FOR CONVEX UNIVALENT FUNCTIONS

  • Okada, Mari;Yanagihara, Hiroshi
    • 대한수학회보
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    • 제55권3호
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    • pp.957-965
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    • 2018
  • We study the class $C{\mathcal{V}} ({\Omega})$ of analytic functions f in the unit disk ${\mathbb{D}}=\{z{\in}{\mathbb{C}}$ : ${\mid}z{\mid}$ < 1} of the form $f(z)=z+{\sum}_{n=2}^{\infty}a_nz^n$ satisfying $$1+\frac{zf^{{\prime}{\prime}}(z)}{f^{\prime}(z)}{\in}{\Omega},\;z{\in}{\mathbb{D}}$$, where ${\Omega}$ is a convex and proper subdomain of $\mathbb{C}$ with $1{\in}{\Omega}$. Let ${\phi}_{\Omega}$ be the unique conformal mapping of $\mathbb{D}$ onto ${\Omega}$ with ${\phi}_{\Omega}(0)=1$ and ${\phi}^{\prime}_{\Omega}(0)$ > 0 and $$k_{\Omega}(z)={\displaystyle\smashmargin{2}{\int\nolimits_{0}}^z}{\exp}\({\displaystyle\smashmargin{2}{\int\nolimits_{0}}^t}{\zeta}^{-1}({\phi}_{\Omega}({\zeta})-1)d{\zeta}\)dt$$. Let $z_0,z_1{\in}{\mathbb{D}}$ with $z_0{\neq}z_1$. As the first result in this paper we show that the region of variability $\{{\log}\;f^{\prime}(z_1)-{\log}\;f^{\prime}(z_0)\;:\;f{\in}C{\mathcal{V}}({\Omega})\}$ coincides wth the set $\{{\log}\;k^{\prime}_{\Omega}(z_1z)-{\log}\;k^{\prime}_{\Omega}(z_0z)\;:\;{\mid}z{\mid}{\leq}1\}$. The second result deals with the case when ${\Omega}$ is the right half plane ${\mathbb{H}}=\{{\omega}{\in}{\mathbb{C}}$ : Re ${\omega}$ > 0}. In this case $CV({\Omega})$ is identical with the usual normalized class of convex univalent functions on $\mathbb{D}$. And we derive the sharp upper bound for ${\mid}{\log}\;f^{\prime}(z_1)-{\log}\;f^{\prime}(z_0){\mid}$, $f{\in}C{\mathcal{V}}(\mathbb{H})$. The third result concerns how far two functions in $C{\mathcal{V}}({\Omega})$ are from each other. Furthermore we determine all extremal functions explicitly.

포워드형 3선 PWM 정류기를 이용한 새로운 DC 48[V] 통신용 전원시스템의 특성 해석 (The Characteristics Analysis of New Dc 48[V] Telecommunication Power System using Forward Type three Phase Rectifier)

  • 서기영
    • 조명전기설비학회논문지
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    • 제20권1호
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    • pp.34-40
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    • 2006
  • 본 논문에서는 포워드형 3상 PWM 정류기를 이용한 새로운 DC 48[V] 통신용 전원시스템을 제안하여 역률과 효율, 리플 전압의 개선에 관하여 서술하였다. 제안된 DC 48[V] 통신용 전원시스템은 각 선간에 스위치와 인덕터 그리고 콘덴서가 조합된 전력변환장치로 구성되며, 전력변환장치내의 각 스위치의 턴-온시 제어 주기내의 도통시간을 조정하여 역률 1의 정현파 전류를 얻었다. 그리고 일반적인 PWM 정류기를 포워드 형태의 PWM 정류기로 구성함으로써 스위치의 온-오프시 발생되는 피크 전류를 작게 하여 변환 효율 92.1[%]을 얻었다. 또한 고조파 입력전류 규제값(IEC61000-3-2 Class-A)을 만족하는 입력 전류를 가지며, 3상 전원의 왜곡이 중첩되는 상태에서도 출력 전압의 맥동성분을 저감시켰다.

초등과학 영재교실에서 발견 학습 모형 수업에 효과적인 환경 조건의 탐색 (Effective Classroom Environments in Discovery Learning Classes for Gifted Science Pupils)

  • 이인호;전영석
    • 한국초등과학교육학회지:초등과학교육
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    • 제25권3호
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    • pp.307-317
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    • 2006
  • Those students with ability and interest in science should be supported to develop their potential and to reach high levels of achievement in science and technology. In order to ensure that gifted pupils are able to enhance their creativity as well as research abilities, appropriate learning programs and environments are essential. One of the various teaching and learning models for the gifted in science is the discovery learning model based on inductive science activities. There is a clear line of continuity between knowledge discovery at the forefront of research and student's learning activities. If students receive excellent training in organizing scientific concepts for themselves, they will be able to skillfully apply appropriate scientific concepts and solve problems when facing unfamiliar situations. It is very important to offer an appropriate learning environment to maximize the learning effect whilst, at the same time, understanding individual student's characteristics. In this study, the authors took great pains to research effective learning environments for gifted science students. Firstly, appropriate classroom learning environments thought by the teacher to offer the most potential were investigated. 3 different classes in which a revised teaching and learning environment was applied in sequence were examined. Inquiries were conducted into students' activities and achievement through observation, interviews, and examination of students' worksheets. A Science Education expert and 5 elementary school teachers specializing in gifted education also observed the class to examine the specific character of gifted science students. A number of suggestions in discovery learning classes for elementary students gifted in science are possible; 1) Readiness is essential in attitudes related to the inquiry. 2) The interaction between students should be developed. A permissive atmosphere is needed in small group activities. 3) Students require training in listening to others. In a whole class discussion, a permissive atmosphere needs to be restricted somewhat in order to promote full and inclusive discussion. 4) Students should have a chance to practice induction and abduction methods in solving problems.

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한국인혈압(韓國人血壓)의 정상치역(正常値域) (Normal Range of Blood Pressure of Korean)

  • 김인달;안윤옥;조수헌
    • Journal of Preventive Medicine and Public Health
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    • 제7권2호
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    • pp.395-401
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    • 1974
  • In order to figure out the normal range, lower limit of hypertension and upper limit of hypotension of the blood pressure of Korean, authors had measured blood pressure according to Korotkow's method for 31,897 healthy persons as samples who were occupied different levels of the social class except cases who would seem to be the essential hypertension and had the diseases affecting to secondary hypertension. A following conclusion was induced by actual measurement and statistical reasoning. 1. The normal range and limits of hypo- and hypertension by sex and age groups of Korean were demonstrated in Table 1 and Figure 1. 2. The more aging the higher value of blood pressure in both sexes, especially women rather than men and systolic as to diastolic. 3. Generally, blood pressure values of female were lower than male, after 55 years of age, however, the crossing phenomenon was recognizable. 4. To settle the normal and abnormal ranges of the blood pressure of Korean, it was attempted that $M{\pm}1.282{\sigma}$ as normal range, $M+2{\sigma}$ as lower limit of hypertension and $M-2{\sigma}$ as upper limit of hypotension were calculated, and regression lines were drawn to adjust the biological variables and derive continuity from each age class. (Fig. 2 and 3) 5. The blood pressure levels were becoming elevated as to getting increased of the body weight, particularly diastolic value at 40-49 age group in male and systolic value at 30-39 age group in female.

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동의병리학에서의 병리전변이론(病理傳變理論) 고찰 및 교육의 필요성 (Investigation of the Transforming Theories of Diseases and the Need of Teaching Them in the Pathology Class)

  • 지규용
    • 동의생리병리학회지
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    • 제19권5호
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    • pp.1105-1111
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    • 2005
  • In order to investigate the meanings and bases of transforming theories of diseases(病傳論), several relevant theories were collected from medical books since . The outside-to-inside changing process(pyoree jeon) was the fundamental pattern in febrile diseases regardless of slang han and wen bing after Han dynasty. But in case of numb disease the three exogenous pathogenic factors of wind, cold and dampness got into each viscera through five tissues like skin, vessesl, flesh, tendons, bones respectively. It was called corresponding changing process(sanghap jeon) here. The pathogenic changing process(byungsa jeon) had complicated details to explain pathologic processes, but could give useful informations on evaluating relative strength of pathogens and tendency ahead. The changing process of diseases of internal injuries were explained in case of emotional distress which is outbroken abruptly didn't follow regular order of viscera-emotion relations. So it was named random changing process(bulcha jeon) after 's usage. And marasmus and asthenic disease followed top-to-down or down-to-top changing process(sangha jeon) based on . There are many types of changing process of diseases between viscera and viscera or viscera and bowels like generation changing process, restriction changing process, changing process between couple, changing process of mutual transmission based on attributions of each element by the theory of 5 phases(五行論). And changing process to a neighbor doesn't have any special relations within two organs but has anatomical contiguity and physiological continuity between them. The transforming theories of diseases bring forth useful understanding on comings and goings of pathogenic factors and tendency and prognosis of disease, so they are needed to be taught in the course of pathology class.

TWO STEP ALGORITHM FOR SOLVING REGULARIZED GENERALIZED MIXED VARIATIONAL INEQUALITY PROBLEM

  • Kazmi, Kaleem Raza;Khan, Faizan Ahmad;Shahza, Mohammad
    • 대한수학회보
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    • 제47권4호
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    • pp.675-685
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    • 2010
  • In this paper, we consider a new class of regularized (nonconvex) generalized mixed variational inequality problems in real Hilbert space. We give the concepts of partially relaxed strongly mixed monotone and partially relaxed strongly $\theta$-pseudomonotone mappings, which are extension of the concepts given by Xia and Ding [19], Noor [13] and Kazmi et al. [9]. Further we use the auxiliary principle technique to suggest a two-step iterative algorithm for solving regularized (nonconvex) generalized mixed variational inequality problem. We prove that the convergence of the iterative algorithm requires only the continuity, partially relaxed strongly mixed monotonicity and partially relaxed strongly $\theta$-pseudomonotonicity. The theorems presented in this paper represent improvement and generalization of the previously known results for solving equilibrium problems and variational inequality problems involving the nonconvex (convex) sets, see for example Noor [13], Pang et al. [14], and Xia and Ding [19].

Structural Design of an Ultra High-rise Building Using Concrete Filled Tubular Column with 780 N/㎟ Class High-strength Steel and Fc150 N/㎟ High-strength Concrete

  • Matsumoto, Shuichi;Hosozawa, Osamu;Narihara, Hiroyuki;Komuro, Tsutomu;Kawamoto, Shin-ichiro
    • 국제초고층학회논문집
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    • 제3권1호
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    • pp.73-79
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    • 2014
  • In recent years, the performance requested for which an ultra-high rise buildings is diversified. Large spans are designed in order to gain wide workspace. Column positions are shifted in middle stories to provide space different from neighboring floors. Moreover, in the bottom layers of the building, it is becoming more important to expand freedom to plan flexibility such as creating publically opened wide atria that gives attractive free space. Earthquake-proof criteria is also changing not only human life protection deign but also a design that allows functional continuity. In order to achieve thee needs, as one of technology, we have developed ultra-high strength concrete filled tubular (CFT) columns of the box section that combine ultra-high strength concrete with specified strength of $150N/mm^2$ and ultra-high strength steel material with tensile strength of $780N/mm^2$. In this paper, the outline of development of an ultra-high strength CFT column is reported. Also, the structural design of the ultra-high-rise building using the CFT columns is reported.