• Title/Summary/Keyword: weakly continuous

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Halpern Subgradient Method for Pseudomonotone Equilibrium Problems in Hilbert Space

  • Thang, Tran Van;Khoa, Nguyen Minh
    • Kyungpook Mathematical Journal
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    • v.62 no.3
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    • pp.533-555
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    • 2022
  • In this paper, we introduce a new algorithm for finding a solution of an equilibrium problem in a real Hilbert space. Our paper extends the single projection method to pseudomonotone variational inequalities, from a 2018 paper of Shehu et. al., to pseudomonotone equilibrium problems in a real Hilbert space. On the basis of the given algorithm for the equilibrium problem, we develop a new algorithm for finding a common solution of a equilibrium problem and fixed point problem. The strong convergence of the algorithm is established under mild assumptions. Several of fundamental experiments in finite (infinite) spaces are provided to illustrate the numerical behavior of the algorithm for the equilibrium problem and to compare it with other algorithms.

A Study on the Effects of Technology Acceptance and Economic Factors on the Loyalty of Power Bloggers (파워 블로거들의 충성도를 결정하는 기술수용 및 경제적 요인에 관한 연구)

  • Hong, Jin-Young;Park, Sun-Ju;Chung, Seung-Wha
    • Korean Management Science Review
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    • v.26 no.3
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    • pp.185-204
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    • 2009
  • Power bloggers have become one of the most important resources of blog service companies, and only those who attract and secure power bloggers will be able to have competitive edge and profitability in blog related businesses. This study examines the effects of technology acceptance factors and economical factors on the loyalty of power bloggers. The analysis results show that the usefulness, power of social influence and enjoyment positively affect the attitude and intention to continuous use. The relationship between the attitude and intention to continuous use is demonstrated as significant. The economical benefit exhibits weakly positive influence on the attitude to blogging, but not on the intention. This indicates that although many power bloggers receive economic benefits through their blogging activities, such economical benefits do not have big impact on their activities and the intention to use. The blog service providers may use the analysis results when developing new blog services. In particular, the usefulness, which is often considered as one of the most important factors in the success of the blogosphere, is found to have less impact than the enjoyment among power bioggers. This is because blog users, especially power bloggers, use the blog not for a specific purpose or for generating a special product; most of them use the blog to satisfy their own personal desires. When developing blog services, therefore, it is important to cater to the users' enjoyment and their psychological compensation. What is surprising is that the effect of the economical factor is not ad significant as one might have expected. This implies that the new blog services that provide profit sharing or advertising revenue sharing may not be as successful as one would have hoped for in maintaining the loyalty of power bloggers.

A Case Study on the Wedding Culture of the Main Family in the Gyeongbuk Area (경북지역 종가의 혼례문화 사례연구)

  • Lee, Hyang Sook;Ju, Young Ae
    • Journal of the Korean Home Economics Association
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    • v.50 no.6
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    • pp.13-32
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    • 2012
  • This study surveyed features of weddings in the main family by selecting 10 families in which the grandnephew and grandnephew's wife dwell in the head house, have a shrine, and hold a memorial service for Bulcheonwi (不遷位). A case survey through in-depth interview was carried out from April 9, to October 8, 2011. It surveyed the contents and the wedding artifacts in Uihon (議婚), Napchae (納采), Nappye (納幣), Daerye (大禮), Hyeongugorye (見舅姑禮), which are the procedures of traditional wedding that have been kept in the wedding ceremony of the main family. As a result, in deciding on marriage, the marriage was formed on the basis of similar Gagyeok (家格) and on ancestor's common scholastic mantle or origin. As for wedding furnishings, wedding presents, and wedding gifts, 9 out of 10 families were indicated to give and take weakly. Also, 6 out of 10 families held a traditional wedding ceremony in the yard of the bride's house. Hyeongugorye (見舅姑禮) was indicated to be held by all of the 10 families. A continuous effort in academic circles and industries is demanded for preserving the living culture of the main family, which proceeds with following the traditional elements even amid a rapidly-changing historical flow as today.

Frequency Window Method for the Vibration of Secondary Structural Systems (Frequency Window Method에 의한 Secondary 구조 시스템의 진동특성)

  • ;Igusa, Takeru;Achenbach, Jan D.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1991.04a
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    • pp.153-158
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    • 1991
  • Recently, demands on light weight, high strength, and low noise or vibration have led to the design of complicated structural systems. Although finite elements [1], mode synthesis [2], and statistical energy analysis [3] can be used to compute the dynamic response of such systems, the structural complexity has made the interpretation of the results of such analysis difficult. Many researchers in dynamic analysis have sought to further develop existing theories or develop alternate methods to obtain greater insight in the behavior of large massive primary systems (P systems) with connected light secondary systems (S systems). Some recent research includes work by Sackman and Kelly [4], Sackman et al.[5], Der Kiureghian et al.[6], and Igusa and Der Kiureghian [7-9] who have combined mode synthesis concepts, matrix algebraic theory, and perturbation methods for characterizing weakly-coupled structural systems. A major limitation of these works are that they are limited to lumped mass S systems. In this paper, the general ideas in the Refs.[4-9] are used to study continuous S systems and the method to reduce the complexity, studied in the works by Igusa, Achenbach, and Min [10,11], is developed into the frequency window method.

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CONTINUOUS HAMILTONIAN DYNAMICS AND AREA-PRESERVING HOMEOMORPHISM GROUP OF D2

  • Oh, Yong-Geun
    • Journal of the Korean Mathematical Society
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    • v.53 no.4
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    • pp.795-834
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    • 2016
  • The main purpose of this paper is to propose a scheme of a proof of the nonsimpleness of the group $Homeo^{\Omega}$ ($D^2$, ${\partial}D^2$) of area preserving homeomorphisms of the 2-disc $D^2$. We first establish the existence of Alexander isotopy in the category of Hamiltonian homeomorphisms. This reduces the question of extendability of the well-known Calabi homomorphism Cal : $Diff^{\Omega}$ ($D^1$, ${\partial}D^2$)${\rightarrow}{\mathbb{R}}$ to a homomorphism ${\bar{Cal}}$ : Hameo($D^2$, ${\partial}D^2$)${\rightarrow}{\mathbb{R}}$ to that of the vanishing of the basic phase function $f_{\underline{F}}$, a Floer theoretic graph selector constructed in [9], that is associated to the graph of the topological Hamiltonian loop and its normalized Hamiltonian ${\underline{F}}$ on $S^2$ that is obtained via the natural embedding $D^2{\hookrightarrow}S^2$. Here Hameo($D^2$, ${\partial}D^2$) is the group of Hamiltonian homeomorphisms introduced by $M{\ddot{u}}ller$ and the author [18]. We then provide an evidence of this vanishing conjecture by proving the conjecture for the special class of weakly graphical topological Hamiltonian loops on $D^2$ via a study of the associated Hamiton-Jacobi equation.

A New Convergence Acceleration Technique for Scramjet Flowfields

  • Bernard Parent;Jeung, In-Seuck
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2004.03a
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    • pp.15-25
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    • 2004
  • This paper outlines a new convergence acceleration de-signed to solve scramjet flowfields with zones of re-circulation. Named the “marching-window”, the algorithm consists of performing pseudo-time iterations on a minimal width subdomain composed of a sequence of cross-stream planes of nodes. The upstream boundary of the subdomain is positioned such that all nodes upstream exhibit a residual smaller than the user-specified convergence threshold. The advancement of the downstream boundary follows the advancement of the upstream boundary, except in zones of significant streamwise ellipticity where a streamwise ellipticity sensor ensures its continuous progress. Compared to the standard pseudo-time marching approach, the march-ing-window is here seen to decrease the work required for convergence by up to 24 times for supersonic flows with little streamwise ellipticity and by up to 8 times for supersonic flows with large streamwise separated regions. The memory requirements are observed to be reduced sixfold by not allocating memory to the nodes not included in the computational subdomain. The marching-window satisfies the same convergence criterion as the standard pseudo-time stepping methods, hence resulting in the same converged solution within the tolerance of the user-specified convergence threshold. The extension of the marching-window to the weakly-ionized Navier-Stokes equations is also discussed.

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SOME ABELIAN MCCOY RINGS

  • Rasul Mohammadi;Ahmad Moussavi;Masoome Zahiri
    • Journal of the Korean Mathematical Society
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    • v.60 no.6
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    • pp.1233-1254
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    • 2023
  • We introduce two subclasses of abelian McCoy rings, so-called π-CN-rings and π-duo rings, and systematically study their fundamental characteristic properties accomplished with relationships among certain classical sorts of rings such as 2-primal rings, bounded rings etc. It is shown that a ring R is π-CN whenever every nilpotent element of index 2 in R is central. These rings naturally generalize the long-known class of CN-rings, introduced by Drazin [9]. It is proved that π-CN-rings are abelian, McCoy and 2-primal. We also show that, π-duo rings are strongly McCoy and abelian and also they are strongly right AB. If R is π-duo, then R[x] has property (A). If R is π-duo and it is either right weakly continuous or every prime ideal of R is maximal, then R has property (A). A π-duo ring R is left perfect if and only if R contains no infinite set of orthogonal idempotents and every left R-module has a maximal submodule. Our achieved results substantially improve many existing results.

Efficacy of biological inhibitors in three-dimensional culture models of oral squamous cell carcinoma

  • Eun Kyoung Kim;Sook Moon;Myung-Jin Lee;Dokyeong Kim
    • International Journal of Oral Biology
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    • v.49 no.1
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    • pp.18-25
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    • 2024
  • Despite advancements in therapeutic approaches, radiotherapy and cisplatin-based chemotherapy remain primary noninvasive treatments for patients with oral squamous cell carcinoma (OSCC). Moreover, the 5-year survival rate for patients with OSCC has remained almost unchanged for several decades, and many side effects of chemotherapy still exist. In this study, three-dimensional (3D) models of OSCC were established using fibroblasts, and the efficacy of various biological inhibitors was evaluated. A culture of epithelial cells with two types of fibroblasts (hTERT-hNOFs and cancer-associated fibroblasts) within a type I collagen matrix resulted in the formation of a continuous layer of tightly packed cells compared to models without fibroblasts. Furthermore, the effects of biological chemicals, including Y27632, latrunculin A, and verteporfin, on these models were investigated. The stratified formation of the epithelial layer and invasion in OSCC 3D-culture models were effectively inhibited by verteporfin, whereas invasion was weakly inhibited by Y27632 and latrunculin. Collectively, the developed OSCC 3D-culture models established with fibroblasts demonstrated the potential for drug screening, with verteporfin showing promising efficacy.

SOME REMARKS ON CATEGORIES OF MODULES MODULO MORPHISMS WITH ESSENTIAL KERNEL OR SUPERFLUOUS IMAGE

  • Alahmadi, Adel;Facchini, Alberto
    • Journal of the Korean Mathematical Society
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    • v.50 no.3
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    • pp.557-578
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    • 2013
  • For an ideal $\mathcal{I}$ of a preadditive category $\mathcal{A}$, we study when the canonical functor $\mathcal{C}:\mathcal{A}{\rightarrow}\mathcal{A}/\mathcal{I}$ is local. We prove that there exists a largest full subcategory $\mathcal{C}$ of $\mathcal{A}$, for which the canonical functor $\mathcal{C}:\mathcal{C}{\rightarrow}\mathcal{C}/\mathcal{I}$ is local. Under this condition, the functor $\mathcal{C}$, turns out to be a weak equivalence between $\mathcal{C}$, and $\mathcal{C}/\mathcal{I}$. If $\mathcal{A}$ is additive (with splitting idempotents), then $\mathcal{C}$ is additive (with splitting idempotents). The category $\mathcal{C}$ is ample in several cases, such as the case when $\mathcal{A}$=Mod-R and $\mathcal{I}$ is the ideal ${\Delta}$ of all morphisms with essential kernel. In this case, the category $\mathcal{C}$ contains, for instance, the full subcategory $\mathcal{F}$ of Mod-R whose objects are all the continuous modules. The advantage in passing from the category $\mathcal{F}$ to the category $\mathcal{F}/\mathcal{I}$ lies in the fact that, although the two categories $\mathcal{F}$ and $\mathcal{F}/\mathcal{I}$ are weakly equivalent, every endomorphism has a kernel and a cokernel in $\mathcal{F}/{\Delta}$, which is not true in $\mathcal{F}$. In the final section, we extend our theory from the case of one ideal$\mathcal{I}$ to the case of $n$ ideals $\mathcal{I}_$, ${\ldots}$, $\mathca{l}_n$.

Negative Pressure Wound Therapy of Chronically Infected Wounds Using 1% Acetic Acid Irrigation

  • Jeong, Hii Sun;Lee, Byeong Ho;Lee, Hye Kyung;Kim, Hyoung Suk;Moon, Min Seon;Suh, In Suck
    • Archives of Plastic Surgery
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    • v.42 no.1
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    • pp.59-67
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    • 2015
  • Background Negative-pressure wound therapy (NPWT) induces angiogenesis and collagen synthesis to promote tissue healing. Although acetic acid soaks normalize alkali wound conditions to raise tissue oxygen saturation and deconstruct the biofilms of chronic wounds, frequent dressing changes are required. Methods Combined use of NPWT and acetic acid irrigation was assessed in the treatment of chronic wounds, instilling acetic acid solution (1%) beneath polyurethane membranes twice daily for three weeks under continuous pressure (125 mm Hg). Clinical photographs, pH levels, cultures, and debrided fragments of wounds were obtained pre- and posttreatment. Tissue immunostaining (CD31, Ki-67, and CD45) and reverse transcription-polymerase chain reaction (vascular endothelial growth factor [VEGF], vascular endothelial growth factor receptor [VEGFR]; procollagen; hypoxia-inducible factor 1 alpha [HIF-1-alpha]; matrix metalloproteinase [MMP]-1,-3,-9; and tissue inhibitor of metalloproteinase [TIMP]) were also performed. Results Wound sizes tended to diminish with the combined therapy, accompanied by drops in wound pH (weakly acidic or neutral) and less evidence of infection. CD31 and Ki-67 immunostaining increased (P<0.05) post-treatment, as did the levels of VEGFR, procollagen, and MMP-1 (P<0.05), whereas the VEGF, HIF-1-alpha, and MMP-9/TIMP levels declined (P<0.05). Conclusions By combining acetic acid irrigation with negative-pressure dressings, both the pH and the size of chronic wounds can be reduced and infections be controlled. This approach may enhance angiogenesis and collagen synthesis in wounds, restoring the extracellular matrix.