• 제목/요약/키워드: ($g$, $g^{\prime}$)-continuous

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R(g, g')-CONTINUITY ON GENERALIZED TOPOLOGICAL SPACES

  • Kim, Young-Key;Min, Won-Keun
    • 대한수학회논문집
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    • 제27권4호
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    • pp.809-813
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    • 2012
  • We introduce the notion of R($g$, $g^{\prime}$)-continuity on generalized topological spaces, which is a strong form of ($g$, $g^{\prime}$)-continuity. We investigate some properties and relationships among R($g$, $g^{\prime}$)-continuity, ($g$, $g^{\prime}$)-continuity and some strong forms of ($g$, $g^{\prime}$)-continuity.

DERIVATIONS ON PRIME RINGS AND BANACH ALGEBRAS

  • Jun, Kil-Woung;Kim, Hark-Mahn
    • 대한수학회보
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    • 제38권4호
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    • pp.709-718
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    • 2001
  • In this paper we show that if D and G are continuous linear Jordan derivations on a Banach algebra A satisfying [D(x), x]x - x[G(x),x] $\epsilon$ rad(A)for all $\epsilon$ A, then both D and G map A into rad(A).

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EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A CLASS OF p-LAPLACIAN EQUATIONS

  • Kim, Yong-In
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제19권2호
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    • pp.103-109
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    • 2012
  • The existence and uniqueness of T-periodic solutions for the following p-Laplacian equations: $$({\phi}_p(x^{\prime}))^{\prime}+{\alpha}(t)x^{\prime}+g(t,x)=e(t),\;x(0)=x(T),x^{\prime}(0)=x^{\prime}(T)$$ are investigated, where ${\phi}_p(u)={\mid}u{\mid}^{p-2}u$ with $p$ > 1 and ${\alpha}{\in}C^1$, $e{\in}C$ are T-periodic and $g$ is continuous and T-periodic in $t$. By using coincidence degree theory, some existence and uniqueness results are obtained.

암모늄 이온 및 질산화균의 초기 농도가 질산화에 미치는 영향 (Effects of Initial Concentration of Ammonium Ion and Active Nitrifiers on Nitrification)

  • 김정훈;김영주;박흥석
    • 대한토목학회논문집
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    • 제26권4B호
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    • pp.421-426
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    • 2006
  • 본 연구는 생물학적 질산화 공정에서 암모늄 이온과 활성을 가진 질산화균의 초기 농도가 질산화에 미치는 영향을 확인하고, 이에 따른 동역학식을 제시하고자 하였다. 먼저 실험에 이용된 슬러지의 질산화균 농도는 미생물 호흡률 실험으로 측정하였는데, 배양된 슬러지 중 42.8%가 활성을 가진 질산화균으로 나타났다. 암모늄 이온과 질산화균의 초기 농도를 달리하여 $N_0/X_0$비가 0.025~0.493의 조건에서 잘산화 실험을 실시하였으며, 이를 통해 암모늄 이온과 질산화균의 농도가 상이하더라도 $N_0/X_0$ 비가 동일할 경우 암모늄 산화율이 동일함을 확인하였다. 또한 $N_0/X_0$ 비와 비기질이용율의 관계는 Contois 형태의 관계식으로 표현되었으며, 최대 비암모늄산화율($q_{Nmax}$)은 4.32 gN/gVSS/day, 반 포화속도 상수($K_N{^{\prime}}$)는 0,013 gN/gVSS인 것으로 확인되었다.

COMPOSITION OPERATORS ON 𝓠K-TYPE SPACES AND A NEW COMPACTNESS CRITERION FOR COMPOSITION OPERATORS ON 𝓠s SPACES

  • Rezaei, Shayesteh
    • 대한수학회논문집
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    • 제32권1호
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    • pp.55-64
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    • 2017
  • For -2 < ${\alpha}$ < ${\infty}$ and 0 < p < ${\infty}$, the $\mathcal{Q}_K$-type space is the space of all analytic functions on the open unit disk ${\mathbb{D}}$ satisfying $$_{{\sup} \atop a{\in}{\mathbb{D}}}{\large \int_{\mathbb{D}}}{{\mid}f^{\prime}(z){\mid}}^p(1-{{\mid}z{\mid}^2})^{\alpha}K(g(z,a))dA(z)<{\infty}$$, where $g(z,a)=log\frac{1}{{\mid}{\sigma}_a(z){\mid}}$ is the Green's function on ${\mathbb{D}}$ and K : [0, ${\infty}$) [0, ${\infty}$), is a right-continuous and non-decreasing function. For 0 < s < ${\infty}$, the space $\mathcal{Q}_s$ consists of all analytic functions on ${\mathbb{D}}$ for which $$_{sup \atop a{\in}{\mathbb{D}}}{\large \int_{\mathbb{D}}}{{\mid}f^{\prime}(z){\mid}}^2(g(z,a))^sdA(z)<{\infty}$$. Boundedness and compactness of composition operators $C_{\varphi}$ acting on $\mathcal{Q}_K$-type spaces and $\mathcal{Q}_s$ spaces is characterized in terms of the norms of ${\varphi}^n$. Thus the author announces a solution to the problem raised by Wulan, Zheng and Zhou.

저전력 멀티미디어 재생 기법 (PoMP : Power conscious Multimedia Player)

  • Park, Jung-Wan;Won, You-Jip
    • 한국정보과학회:학술대회논문집
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    • 한국정보과학회 2003년도 봄 학술발표논문집 Vol.30 No.1 (C)
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    • pp.253-255
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    • 2003
  • Electricity is the prime commodity in mobile device, e.g. smart phone, PDA, MP3 player and etc. This strict restriction on power consumption requirement of the mobile device puts unique demand in designing hardware and software components of the device. In this paper, we address the issue of minimizing the power consumption in retrieving the continuous media data from the disk drive for real-time playback purpose. Different from the legacy text based data, real-time multimedia playback requires that the storage supplies the data block continuous fashion. This may put immense burden on the power scarce environment since the disk Is required to be active for the entire playback duration. We develop elaborate algorithm which carefully analyzes the power consumption profile of the disk drive and which establishes the data retrieval schedule for the given playback. It computes the amount of data blocks to read, the length of active and standby period. According to our simulation result, the ARM algorithm exhibits superior performance in continuous media retrieval from the aspect of power consumption to legacy playback scheme.

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Earthquake time-frequency analysis using a new compatible wavelet function family

  • Moghaddam, Amir Bazrafshan;Bagheripour, Mohammad H.
    • Earthquakes and Structures
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    • 제3권6호
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    • pp.839-852
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    • 2012
  • Earthquake records are often analyzed in various earthquake engineering problems, making time-frequency analysis for such records of primary concern. The best tool for such analysis appears to be based on wavelet functions; selection of which is not an easy task and is commonly carried through trial and error process. Furthermore, often a particular wavelet is adopted for analysis of various earthquakes irrespective of record's prime characteristics, e.g. wave's magnitude. A wavelet constructed based on records' characteristics may yield a more accurate solution and more efficient solution procedure in time-frequency analysis. In this study, a low-pass reconstruction filter is obtained for each earthquake record based on multi-resolution decomposition technique; the filter is then assigned to be the normalized version of the last approximation component with respect to its magnitude. The scaling and wavelet functions are computed using two-scale relations. The calculated wavelets are highly efficient in decomposing the original records as compared to other commonly used wavelets such as Daubechies2 wavelet. The method is further advantageous since it enables one to decompose the original record in such a way that a clear time-frequency resolution is obtained.