• Title/Summary/Keyword: difference sequence space

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TORSION IN THE COHOMOLOGY OF FINITE H-SPACES

  • Choi, Young-Gi
    • Journal of the Korean Mathematical Society
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    • v.39 no.6
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    • pp.963-973
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    • 2002
  • We study torsion phenomena in the integral cohomology of finite if-spaces X through the Eilenberg-Moore spectral sequence converging to H*($\Omega$X; Z$_{p}$). We also investigate how the difference between the Z$_{p}$-filtration length f$_{p}$(X) and the Z$_{p}$-cup length c$_{p}$(X) on a simply connected finite H-space X is reflected in the Eilenberg-Moore spectral sequence converging to H*($\Omega$X;Z$_{p}$). Finally we get the following result: Let p be an odd prime and X an n-connected finite H-space with dim QH* (X;Z$_{p}$) $\leq$ m. Then H*(X;Z) is p-torsion free if (equation omitted).tion omitted).

On Some Spaces Isomorphic to the Space of Absolutely q-summable Double Sequences

  • Capan, Husamettin;Basar, Feyzi
    • Kyungpook Mathematical Journal
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    • v.58 no.2
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    • pp.271-289
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    • 2018
  • Let 0 < q < ${\infty}$. In this study, we introduce the spaces ${\mathcal{BV}}_q$ and ${\mathcal{LS}}_q$ of q-bounded variation double sequences and q-summable double series as the domain of four-dimensional backward difference matrix ${\Delta}$ and summation matrix S in the space ${\mathcal{L}}_q$ of absolutely q-summable double sequences, respectively. Also, we determine their ${\alpha}$- and ${\beta}-duals$ and give the characterizations of some classes of four-dimensional matrix transformations in the case 0 < q ${\leq}$ 1.

Some Difference Paranormed Sequence Spaces over n-normed Spaces Defined by a Musielak-Orlicz Function

  • Raj, Kuldip;Sharma, Sunil K.;Gupta, Amit
    • Kyungpook Mathematical Journal
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    • v.54 no.1
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    • pp.73-86
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    • 2014
  • In the present paper we introduce difference paranormed sequence spaces $c_0(\mathcal{M},{\Delta}^n_m,p,u,{\parallel}{\cdot},{\cdots},{\cdot}{\parallel})$, $c(\mathcal{M},{\Delta}^n_m,p,u,{\parallel}{\cdot},{\cdots},{\cdot}{\parallel})$ and $l_{\infty}(\mathcal{M},{\Delta}^n_m,p,u,{\parallel}{\cdot},{\cdots},{\cdot}{\parallel})$ defined by a Musielak-Orlicz function $\mathcal{M}$ = $(M_k)$ over n-normed spaces. We also study some topological properties and some inclusion relations between these spaces.

On Some Binomial Difference Sequence Spaces

  • Meng, Jian;Song, Meimei
    • Kyungpook Mathematical Journal
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    • v.57 no.4
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    • pp.631-640
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    • 2017
  • The aim of this paper is to introduce the binomial sequence spaces $b_0^{r,s}(\nabla)$, $b_c^{r,s}(\nabla)$ and $b_{\infty}^{r,s}(\nabla)$ by combining the binomial transformation and difference operator. We prove that these spaces are linearly isomorphic to the spaces $c_0$, c and ${\ell}_{\infty}$, respectively. Furthermore, we compute the Schauder bases and the ${\alpha}-$, ${\beta}-$ and ${\gamma}-duals$ of these sequence spaces.

Discovery of Behavior Sequence Pattern using Mining in Smart Home (스마트 홈에서 마이닝을 이용한 행동 순차 패턴 발견)

  • Chung, Kyung-Yong;Kim, Jong-Hun;Kang, Un-Gu;Rim, Kee-Wook;Lee, Jung-Hyun
    • The Journal of the Korea Contents Association
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    • v.8 no.9
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    • pp.19-26
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    • 2008
  • With the development of ubiquitous computing and the construction of infrastructure for one-to-one personalized services, the importance of context-aware services based on user's situation and environment is being spotlighted. The smart home technology connects real space and virtual space, and converts situations in reality into information in a virtual space, and provides user-oriented intelligent services using this information. In this paper, we proposed the discovery of the behavior sequence pattern using the mining in the smart home. We discovered the behavior sequence pattern by using mining to add time variation to the association rule between locations that occur in location transactions. We can predict the path or behavior of user according to the recognized time sequence and provide services accordingly. To evaluate the performance of behavior consequence pattern using mining, we conducted sample t-tests so as to verify usefulness. This evaluation found that the difference of satisfaction by service was statistically meaningful, and showed high satisfaction.

Analysis of Delta-V Losses During Lunar Capture Sequence Using Finite Thrust

  • Song, Young-Joo;Park, Sang-Young;Kim, Hae-Dong;Lee, Joo-Hee;Sim, Eun-Sup
    • Journal of Astronomy and Space Sciences
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    • v.28 no.3
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    • pp.203-216
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    • 2011
  • To prepare for a future Korean lunar orbiter mission, semi-optimal lunar capture orbits using finite thrust are designed and analyzed. Finite burn delta-V losses during lunar capture sequence are also analyzed by comparing those with values derived with impulsive thrusts in previous research. To design a hypothetical lunar capture sequence, two different intermediate capture orbits having orbital periods of about 12 hours and 3.5 hours are assumed, and final mission operation orbit around the Moon is assumed to be 100 km altitude with 90 degree of inclination. For the performance of the on-board thruster, three different performances (150 N with $I_{sp}$ of 200 seconds, 300 N with $I_{sp}$ of 250 seconds, 450 N with $I_{sp}$ of 300 seconds) are assumed, to provide a broad range of estimates of delta-V losses. As expected, it is found that the finite burn-arc sweeps almost symmetric orbital portions with respect to the perilune vector to minimize the delta-Vs required to achieve the final orbit. In addition, a difference of up to about 2% delta-V can occur during the lunar capture sequences with the use of assumed engine configurations, compared to scenarios with impulsive thrust. However, these delta-V losses will differ for every assumed lunar explorer's on-board thrust capability. Therefore, at the early stage of mission planning, careful consideration must be made while estimating mission budgets, particularly if the preliminary mission studies were assumed using impulsive thrust. The results provided in this paper are expected to lead to further progress in the design field of Korea's lunar orbiter mission, particularly the lunar capture sequences using finite thrust.

EXPANDING THE APPLICABILITY OF SECANT METHOD WITH APPLICATIONS

  • Magrenan, A. Alberto;Argyros, Ioannis K.
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.3
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    • pp.865-880
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    • 2015
  • We present new sufficient convergence criteria for the convergence of the secant-method to a locally unique solution of a nonlinear equation in a Banach space. Our idea uses Lipschitz and center-Lipschitz instead of just Lipschitz conditions in the convergence analysis. The new convergence criteria can always be weaker than the corresponding ones in earlier studies. Numerical examples are also provided in this study to solve equations in cases not possible before.

A Study on the Space Determinants of the Medieval Plaza (중세광장의 공간결정요소에 관한 연구)

  • Nam, Ho-Hyeon;Min, Sang-Choong
    • Journal of architectural history
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    • v.17 no.4
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    • pp.83-95
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    • 2008
  • This study was firstly to reflect upon the background of the generation and the urban spatial value and significance of the medieval plaza. The main aim of this study was to extract the spatial determinants which give the great influence on the formation of the medieval plaza and in addition the endogenous rules and aesthetical grounds regarding the respective elements. Especially they could be applied to the design guideline. They are dimension(volume and scale), shape, elevation as the morphological elements and enclosure, proportion, grade difference, spatial sequence and plaza group as the spatial determinants and visual sequence, visual or spatial boundary, approaching axis and perspective effect as the aesthetic and visual elements and function(use), human behaviour as the social-behavioral elements and otherwise, for instance, plaza furniture, ground decoration and vegetation. This study was intended to analyze each elements based on the classical historical literatures and to suggest the planning conditions for composing the ideal plaza referring to the cases and literature review on the medieval plaza and finally is expected to contribute to the plaza design methodology.

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Diagnosis of Rotator Cuff Tears with Non-Arthrographic MR Imaging: 3D Fat-Suppressed Isotropic Intermediate-Weighted Turbo Spin-Echo Sequence versus Conventional 2D Sequences at 3T

  • Hong, Won Sun;Jee, Won-Hee;Lee, So-Yeon;Chun, Chang-Woo;Jung, Joon-Yong;Kim, Yang-Soo
    • Investigative Magnetic Resonance Imaging
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    • v.22 no.4
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    • pp.229-239
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    • 2018
  • Purpose: To assess the diagnostic performance in detecting rotator cuff tears at 3T of non-arthrographic shoulder magnetic resonance imaging (MRI) using 3D isotropic turbo spin-echo (TSE-SPACE) sequence as compared with 2D sequences. Materials and Methods: Seventy-four patients who were arthroscopically confirmed to have underwent non-arthrographic shoulder MRI with 2D sequences and TSE-SPACE were included. Three independent readers retrospectively scored supraspinatus and infraspinatus tendon (SST-IST) and subscapularis tendon (SCT) tears on 2D sequences and TSE-SPACE. Results: The mean sensitivity, specificity, and accuracy of the three readers were 95%, 100%, and 95% on TSE-SPACE and 99%, 93%, and 98% on 2D sequences for detecting SST-IST tears, respectively, whereas those were 87%, 49%, and 68% on TSESPACE and 88%, 66%, and 77% on 2D sequences for detecting SCT tears, respectively. There was no statistical difference between the two sequences, except for in the specificity of one reader for detecting SCT tears. The mean AUCs of the three readers on TSE-SPACE and 2D sequences were 0.96 and 0.98 for detecting SST-IST tears, respectively, which were not significantly different, while those were 0.71 and 0.82 for detecting SCT tears, respectively, which were significantly different (P < 0.05). Conclusion: TSE-SPACE may have accuracy and reliability comparable to conventional 2D sequences for SST-IST tears at non-arthrographic 3T shoulder MRI, whereas TSE-SPACE was less reliable than conventional 2D sequences for detecting SCT tears.

A Case Study of Display Design of Space 'O'sulloc Teahouse' from the Point of Sequence Narrative (시퀀스 내러티브 관점에 따른 '오설록 티하우스' 공간의 제품 전시 디자인 사례 연구)

  • Yang, Hyeon-Jeong;Lee, Hyunsoo
    • Korean Institute of Interior Design Journal
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    • v.23 no.1
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    • pp.61-68
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    • 2014
  • Recently, there have been increasing attempts to pursue and express feelings such as sensibilities, emotions, and impressiveness in commercial spaces. One of such methods is to apply 'storytelling' to space designs. Applicability of storytelling to a space suggests that the contents of a space can be expressed through various mediums. Portraying events and situations through a single time continuity of a story is referred to as 'narrative'. The movement of users and sequence of contents are determined by a narrative. It provides different storytelling and a sense of place to each space through various roles, such as wide association, engraving, and image formation. A narrative can lead users to engage in different perceptions and behaviors even in spaces with the same content. Thus, this study is intended to examine the impact of space marketing in line with design narratives, assuming that narratives of commercial space designs will influence the formation of brand identity. The research methods are as follows. First, the definition of narratives in space design was established by examining narrative architectures. Second, design analysis tools for commercial spaces were established from the perspective of narratives through preceding studies. Third, the design narratives of different shops under the same brand were comparatively analyzed through a case study. To carry out a case study, a commercial space of 'O'sulloc' was selected, and its brand identity was studied from the narrative standpoint. The case study involved interior designs of 7 road shops of 'O'sulloc.' Among the 7 road shops, two of them with the biggest difference in design narratives were selected, and an observation survey was done on the users as a second analysis. Through the observation survey, actual design narrative experience was analyzed in 4 steps of introduction, development, turn, and conclusion. The findings are as follows. The design method of each shop varied, and different design elements were emphasized. Among various elements, the ones that reflect the brand identity of 'O'sulloc' the best were logo, product, and shape. During the process of narratives, the characteristics of each shop and user recognition and behavior varied depending on the degree of emphasis on a particular element. It suggests that space design narratives can influence the formation of brand identity. This study provides ideal directions of developing space designs necessary for forming brand identity from the standpoint of Korean traditional culture modernization. Future studies could discuss the economic feasibility of such designs.