• Title/Summary/Keyword: Theory U

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SOME REMARKS FOR KÜNNETH FORMULA ON BOUNDED COHOMOLOGY

  • Park, HeeSook
    • Honam Mathematical Journal
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    • v.37 no.1
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    • pp.7-27
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    • 2015
  • Kuneth formula is to compute (co)-homology of $A{\otimes}B$ for known (co)-homology of the complexes A and B. In the ordinary case, this is done by using elementary homological methods in an abelian category. However, when we consider the bounded cochain complex with values in $\mathbb{R}$ and its structure as a real Banach space, the techniques of homological algebra for constructing K$\ddot{u}$nneth type formulas on it are not effective. The most notable facts are the image of a morphism of Banach spaces is not necessarily closed, and also the closed summand of a Banach space need not be a topological direct summand. The main goal of this paper is to construct the theory of K$\ddot{u}$nneth type formula on bounded cohomology with real coefficients in the suitable category of Banach spaces with some restricted conditions.

EXISTENCE OF WEAK SOLUTIONS TO A CLASS OF SCHRÖDINGER TYPE EQUATIONS INVOLVING THE FRACTIONAL p-LAPLACIAN IN ℝN

  • Kim, Jae-Myoung;Kim, Yun-Ho;Lee, Jongrak
    • Journal of the Korean Mathematical Society
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    • v.56 no.6
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    • pp.1529-1560
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    • 2019
  • We are concerned with the following elliptic equations: $$(-{\Delta})^s_pu+V (x){\mid}u{\mid}^{p-2}u={\lambda}g(x,u){\text{ in }}{\mathbb{R}}^N$$, where $(-{\Delta})_p^s$ is the fractional p-Laplacian operator with 0 < s < 1 < p < $+{\infty}$, sp < N, the potential function $V:{\mathbb{R}}^N{\rightarrow}(0,{\infty})$ is a continuous potential function, and $g:{\mathbb{R}}^N{\times}{\mathbb{R}}{\rightarrow}{\mathbb{R}}$ satisfies a $Carath{\acute{e}}odory$ condition. We show the existence of at least one weak solution for the problem above without the Ambrosetti and Rabinowitz condition. Moreover, we give a positive interval of the parameter ${\lambda}$ for which the problem admits at least one nontrivial weak solution when the nonlinearity g has the subcritical growth condition.

Need Analysis for Educational Use of Personal Multimedia Player(PMP) focusing on Roles of Teachers in u-Learning (요구분석을 통한 PMP의 교육적 활용방안: u-Learning 환경에서의 교수자의 역할을 중심으로)

  • kim, Mi-Ryang;Kim, Jae-Hyoun
    • Journal of Internet Computing and Services
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    • v.9 no.5
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    • pp.9-21
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    • 2008
  • In theory, within ubiquitous learning environment, education is happening all around the student but the student may not even be conscious of the learning process. But, in this study, we consider the ubiquitous learning environment where PMP (Personal Multimedia Player) is being used for delivering the learning-contents. And the purpose of this study is to identify the problematic factors recognized by PMP users in u-learning environment. A need analysis was used to identify and evaluate needs of 74 PMP users as well non-users. Based on the interviews of participants, we give a brief summary results on motivation for using PMP, purchasing and operating costs, category of contents being used, dissatisfying and problematic factors with using PMP in u-learning environment. Therefore, we present six categories of factors preventing the u-learning with PMP from being diffused such as lacks of awareness, loss of confidence, side-effects, lacks of education and support, costs, and lacks of contents. In conclusion, we suggest a set of guidelines which might help remove these the resistance factors.

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The Accidental Denial of a Hegemonic Power's Role - The Reluctance of the U.S's Role as a World Leader and China's Target of a Niche Market - (우연한 패권거부 - 미국의 세계리더십 거부와 중국의 틈새공략 -)

  • Ban, Kiljoo
    • Strategy21
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    • s.42
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    • pp.224-257
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    • 2017
  • As the Trump administration withdraws the Paris Climate Agreement and shows its antipathy toward free trade, the U.S.'s soft power is most likely to weaken and its behaviors could be perceived as acts to surrender the U.S. hegemonic leadership in the world stage. Hegemonic stability theory notes that the existence of a hegemonic power contributes to international stability in the sense that it provides international public goods. A lack of the U.S's leadership in international politics, however, could be recognized as its denial of a hegemonic status. Is it intentional or accidental? The U.S's denial of hegemonic roles is the byproduct of the Trump administration's "American First" policy, not the showcase of its intention to transit hegemony to others. What is noteworthy is that China targets a niche market of hegemony as the U.S. denies its roles as the international leader. Put it another way, China attempts to ride hegemony for free when the U.S. denies its hegemonic roles accidentally. Faced with a niche market of hegemony, China has begun to accelerate its national strategy to make "Chinese Dream" come true. To that end, China promised again to keep the Paris Climate Agreement and attempts to play more active its roles in Shanghai Cooperation Organization(SCO), Asia Infra Investment Bank(AIIB), and "One Belt, One Road". Despite all these efforts, the U.S. is most likely to withdraw its denial of hegemony any time soon. The U.S's resumption of Freedom of Navigation Operations(FONOPs) could be a precursor of the return to a hegemonic power's willingness. In this vein, it is noteworthy that the South China Sea serves as a quasi-war zone for hegemonic conflict.

Aircraft carriers : National ships or paper tigers? - Conditions to acquire aircraft carriers analyzed by tracing cases - (국가전력으로서의 항공모함 확보조건 분석)

  • Ban, Kiljoo
    • Strategy21
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    • s.39
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    • pp.198-241
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    • 2016
  • Aircraft carriers: are they national platforms to maximize national interest or just simply paper tigers to be little useful for states' development? To some states such as U.S., U.K, and France, aircraft carriers functioned as national assets which is indispensable to their interest. By contrast, Thailand's aircraft carrier was a dead platform which is useless to its national interest and India's ones were little used on the mission field. What is the mechanism leading to this difference? The key is whether states make aircraft carriers connected to overall national evolution when it comes to establishing military strategy and planning a long-term force structure. Put it another way, conditions to acquire them need to be analyzed regarding two variables-national status(prestige and economic power) and threat(mission)-for the future as well as in the present. The former acquired carriers under the condition of making them becoming national platforms which is balanced with their overall development. However, the latter simply bought them without carefully taking account of economic obstacles, e.g., the poverty rate, when it comes to force planning. At the same time, we should not neglect to identify that states of the former cases might have a hard time in maximizing their key interests if they did not have carriers. Accordingly, conditions on carriers' acquisition need to be carefully examined and a typological theory suggested here could shed light on this process. This theory shows that South Korea's status is eligible to have a necessary and sufficient condition to acquire carriers.

A Study of Continuation and Change on the Modern Housing throughout the Domus Type (도무스 유형을 통한 근대 주거의 지속과 변화에 관한 연구)

  • Lee, Jin-Hi
    • Journal of the Korean housing association
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    • v.24 no.1
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    • pp.79-87
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    • 2013
  • The purpose of the study is to verify the effect of the Domus type on the modern housing-typology. This article specifies conceptual architectural typology through studying housing types and the changes by comparing experimental results over time since the ancient to the modern times. To successfully establish the purpose of this article, I cited Saussure's verbal methodology of system and representation along with Deleuze's philosophical cause of differentiation and repetition. Also adopting Aldo Rossi's architectural theory of typology, I established theory of housing continuation and alteration. I will compare and analyze particularly the Domus type, Adolf Loos's M$\ddot{u}$ller house, Luis Barragan's house, Le Corbusier's Villa Sovoye, and Mies van der Rohe's Three court house. And I research on the difference between architectural representation of hall and courtyard in modern housing. This research looks to emphasize historical comprehension and practical application of architectural history through housing studies.

Flame Length Scaling and Structure in Turbulent Hydrogen Non-Premixed Jet Flames with Coaxial Air (동축공기 수소 확산화염의 구조 및 화염길이 스케일링)

  • Yun, Sang-Wook;Oh, Jeong-Seog;Kim, Mun-Ki;Yoon, Young-Bin
    • 한국연소학회:학술대회논문집
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    • 2006.04a
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    • pp.105-110
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    • 2006
  • Many previous works have been performed to provide correlations of flame length, theoretically and experimentally. Most of these results studied were conducted in vertical turbulent flame with no coaxial air condition. The present study analyzes the flame length scaling with coaxial air. In turbulent hydrogen non-premixed jet flames with coaxial air, flame length scaling theoretically proposed so far has been related with the concept of a far-field equivalent source. At high coaxial air to fuel velocity ratio, $U_A/U_F$, however, this scaling theory has some difference with experimental flame length data. This difference is understood to be due to the fact that the theory is based on far-field notion, while the effect of coaxial air on jet flame occurs in the region near the nozzle exit. Therefore, we define effective jet density $P_{eff}$ involving the concept of near-field so that effective jet diameter can be extended to the near-field region. In this condition, we modify the correlation and compare with experimental data.

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Optical and Acoustic Properties of Binary Mixtures of Butanol Isomers as Oxygenates with Cyclohexane, Benzene and Toluene at 308.15 K

  • Verma, Sweety;Gahlyan, Suman;Rani, Manju;Maken, Sanjeev
    • Korean Chemical Engineering Research
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    • v.56 no.5
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    • pp.663-678
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    • 2018
  • Refractive index and speeds of sound for the binary mixture of isomer of butanol (1) + cyclohexane, benzene and toluene (2) were measured at 308.15 K. The measured data were used to calculate deviation in refractive index ${\Delta}n$, ultrasonic speed ${\Delta}u$, isentropic compressibility $K_s^E$, available volume $V_a$, excess intermolecular free length $L_f$ and molecular association $M_A$. All the derived properties were correlated with polynomial equation. Ultrasonic speed data were predicted using various empirical correlations like Nomoto, van Dael, impedance dependence and theoretically with Schaaff's collision factor theory (CFT). Jacobson free length theory (FLT) was used to calculate $L_f$. The measured refractive index was also correlated with various mixing rules. The deviation in refractive index Δn and ultrasonic speed ${\Delta}u$ was used to determine the intermolecular interactions.

A study on the User's Satisfaction and Intention to Re-use the U-Healthcare Services: Focusing on the User's Response of Personalized Medical Information Applications (유헬스케어 서비스 사용자의 만족도와 재사용의도 영향 요인에 대한 연구: 개인용 의료정보 애플리케이션 사용자의 반응을 중심으로)

  • Park, Ji Min;Jo, Eun Hee;Lee, Jong Tae
    • The Journal of Information Systems
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    • v.29 no.2
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    • pp.243-263
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    • 2020
  • Purpose The purpose of this study is to analyze the causal relationship between user satisfaction, expected satisfaction, quality of service, perceived value, and expertise that should be emphasized in personalized medical information services for the development of personalized medical information services based on big data analysis and the spread of their demand. Design/methodology/approach This study established research models and hypotheses on the basis of the theory of reuse intent, and applied the PLS methodology for analysis, the factors that make it applicable to personalized medical services in the theory of service quality and satisfaction. Findings According to the empirical analysis result, this study confirmed that it can be seen that the expertise, perceived value, and quality of medical services did not directly affect the user's intention to reuse, but formed a direct causal relationship through variables such as whether they met expectations.

A Comparative Study Between Nations on the Factors Affecting Mobile Advertisement Acceptance : Focusing on me Comparison Among Korea, U.S. ana Japan (모바일 광고 수용의도 영향요인에 관한 국가간 비교연구 : 한국, 미국, 일본간 비교를 중심으로)

  • Kim, Hyo-Jung;Yoo, Sang-Jin
    • Journal of Korea Society of Industrial Information Systems
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    • v.14 no.5
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    • pp.209-225
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    • 2009
  • This research has been studied to analyze affecting factors for the consumer's acceptance to mobile advertisement by worldwide survey into mobile users of Korea, U.S. and Japan. Based on TAM & Flow theory, our research adopts some factors for a theoretical model such as entertainment, information, irritation, credibility, flow experience, attitudes and acceptance intention. And our research collects data from common consumers & students of each countries to try comparative study with mobile users who has different scope & environment of markets. This data was analyzed based on using AMOS, the structural equation modeling and a second-generation multi variant technique, and has gained distinct advantages over other technique.