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The research of u-disaster prevention City service and technology (u-방재 City 서비스 및 기술에 관한 연구)

  • Lee, Bum-Gyo;Kim, Hyun-Joo;Han, Jin-Woo
    • 한국정보통신설비학회:학술대회논문집
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    • 2008.08a
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    • pp.277-280
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    • 2008
  • Starting from 2005, as the new city paradigm, the term 'u-City' was created in Korea. U-City service, as defined in "u-City law", is a service that connects and intermediates among government, traffic, welfare, environment, disaster mitigation, etc., and their data based on ubiquitous city technology and infrastructure. According to the survey executed by local governments, the improvements in the standard of living of citizens have in turn increased the needs for anti-mitigation services. Such trend is bolstered with the recent disasters such as the conflagration of Korean Soong-rae Gate and the devastating earthquake of Sichuan province. This article describes a concept of the u-City disaster prevention service and looks into the activities and planning of u-City disaster prevention service of local governments. This paper also briefly looks into the law and policies to derive the needs of u-City disaster prevention service as well as the current technologies and u-City disaster prevention services of local governments. Ultimately, this paper offers the strategic direction of developing u-Disaster Prevention City.

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AN INTERPOLATING HARNACK INEQUALITY FOR NONLINEAR HEAT EQUATION ON A SURFACE

  • Guo, Hongxin;Zhu, Chengzhe
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.4
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    • pp.909-914
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    • 2021
  • In this short note we prove new differential Harnack inequalities interpolating those for the static surface and for the Ricci flow. In particular, for 0 ≤ 𝜀 ≤ 1, α ≥ 0, 𝛽 ≥ 0, 𝛾 ≤ 1 and u being a positive solution to $${\frac{{\partial}u}{{\partial}t}}={\Delta}u-{\alpha}u\;{\log}\;u+{\varepsilon}Ru+{\beta}u^{\gamma}$$ on closed surfaces under the flow ${\frac{\partial}{{\partial}t}}g_{ij}=-{\varepsilon}Rg_{ij}$ with R > 0, we prove that $${\frac{\partial}{{\partial}t}}{\log}\;u-{\mid}{\nabla}\;{\log}\;u{\mid}^2+{\alpha}\;{\log}\;u-{\beta}u^{{\gamma}-1}+\frac{1}{t}={\Delta}\;{\log}\;u+{\varepsilon}R+{\frac{1}{t}{}\geq}0$$.

Distance Eccentric Connectivity Index of Graphs

  • Alqesmah, Akram;Saleh, Anwar;Rangarajan, R.;Gunes, Aysun Yurttas;Cangul, Ismail Naci
    • Kyungpook Mathematical Journal
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    • v.61 no.1
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    • pp.61-74
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    • 2021
  • Let G = (V, E) be a connected graph. The eccentric connectivity index of G is defined by ��C (G) = ∑u∈V (G) deg(u)e(u), where deg(u) and e(u) denote the degree and eccentricity of the vertex u in G, respectively. In this paper, we introduce a new formulation of ��C that will be called the distance eccentric connectivity index of G and defined by $${\xi}^{De}(G)\;=\;{\sum\limits_{u{\in}V(G)}}\;deg^{De}(u)e(u)$$ where degDe(u) denotes the distance eccentricity degree of the vertex u in G. The aim of this paper is to introduce and study this new topological index. The values of the eccentric connectivity index is calculated for some fundamental graph classes and also for some graph operations. Some inequalities giving upper and lower bounds for this index are obtained.

Die Herausbildung der grammatischen Kategorie vom deutschen Passiv und ihre historische Entwicklung (독일어 수동형 형태의 생성과정과 그 통시적 변화과정)

  • Kim Jai-Myoung
    • Koreanishche Zeitschrift fur Deutsche Sprachwissenschaft
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    • v.6
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    • pp.123-154
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    • 2002
  • Im Mittelpunkt der vorliegenden Arbeit steht die Untersuchung der Dynamik im System des deutschen Passivs mit dem $R\"{u}ckblick$ auf das Genuanische. Dabei steht es vorrangig im Zusammenhang mit der Grammatikalisierung der $Verbalf\"{u}gungen$ 'werden + PP' und 'sein + PP'. Und im heutigen deutschen Passivsystem ist zwar die $F\"{u}gung$ 'werden + PP' unmarkiert, aber im Genuanischen $\"{u}berwiegt\;die\;F\"{u}gung$ 'sein + PP'. Das Partizip der Kombination 'werden/sein + PP' wird im Gotischen $ausschlie{\ss}lich$ und im Althochdeutschen noch stellenweise flektiert. Hieraus darf geschlossen werden, dass im $Fr\"{u}hdeutschen$ das Verb finita und das Partizip als relativ $unabh\"{a}ngige$ Glieder einander $gegen\"{u}ber$ stehen und in einer Konstruktion verkettet werden, die einfach den Status der neuhochdeutschen periphrastischen Konstruktion aufweist. Die aspektuelle Bedeutung der $Passivf\"{u}gungen\;l\"{a}sst$ sich da als $bin\"{a}re$ Opposition von kategoriellen Merkmalen 'mutativ' (= Zustandswechel) und 'statal' (= Zustand), verteilt auf die F\"{u}gungen$ 'werden + PP' und 'sein + pp', beschreiben. Diese Merkmale kommt jeweils aus dem inchoativen bzw. durativen Verbalaspekt der Verba 'werden' bzw. 'sein' heraus. Diese Opposition unterscheidet sich von der neuhochdeutschen $Gegen\"{u}berstellung$ vom Vorgangspassiv und Zustandspassiv. Die Eigenbedeutung der Verben 'werden' und 'sein' $l\"{o}st$ sich nun, insbesondere im $Sp\"{a}talthochdeutschen$ in der Semantik der ganzen $F\"{u}gungen$ weitgehend auf, was seinerseits den Verlust der aspektualen Markiertheit der Passiv-Periphrasen mit den Verben finiten verursacht und ihre Entwicklung in Richtung auf die Paradigmatisierung der beiden $F\"{u}gungen\;erm\"{o}glicht$. Die weiter Entwicklung von $Passivf\"{u}gungen$ zeichnet sich durch eine zunehmende Expansion der $F\"{u}gung$ 'werden+PP' in die ursprungliche aspektuale $Sph\"{a}re$ der sein-Konstruktion aus. Dieser Prozess, der zur Auxilialisierung des Verbums finitum $f\"{u}hrt$, setzt schon im $Sp\"{a}talthochdeutschen$ ein und gelangt im Mittelhochdeutschen zur vollen $Auspr\"{a}gung$. Die Konkurrenz der beiden Passivkonstruktionen $f\"{u}hrt$ nun zur $allm\"{a}hlichen$ Verengung des aspektualen Bereichs der $F\"{u}gung$ '.sein+PP', $f\"{u}r$ die nun nur das Resultivum $\"{u}brig$ bleibt.

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Development of a Performance Reference Model (PRM) for Ubiquitous City Operations (U-City 전략 성과 참조모델로서의 운영성과 측정 지표체계 개발에 대한 연구)

  • Park, Dong-Wan;Lee, Jung-Hoon;Kim, Jae-Min
    • The Journal of Society for e-Business Studies
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    • v.15 no.3
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    • pp.25-44
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    • 2010
  • In recent years, Ubiquitous City (u-City), the integrated and convergence of ubiquitous services, infrastructure, technologies and city management of the new future development city, is being initiated by the Korean government and local authorities as their new national growth engine. However, a performance measurement system for evaluating and monitoring the impacts of U-City implementation is yet to be established. This paper aims to develop an integrated performance management system (PMS) and extensively used as a tool for managing performance activities to support the visions and goals of the u-City operations. Based on current reviews on the literature and interviews with experts drew Critical Success Factors (CSF) and Key Performance Indicators (KPI) by four different measurement domains including U-City services, infrastructure, technologies, management and developed into an integrated performance measurement system based on the Balanced Scored Card (BSC) perspective. The system also provides number of examples of 'u-City Strategy Map' which illustrates a causal relationship between CSFs to execute u-City visions and goals.

A FUNCTIONAL CENTRAL LIMIT THEOREM FOR MULTIVARIATE LINEAR PROCESS WITH POSITIVELY DEPENDENT RANDOM VECTORS

  • KO, MI-HWA;KIM, TAE-SUNG;KIM, HYUN-CHULL
    • Honam Mathematical Journal
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    • v.27 no.2
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    • pp.301-315
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    • 2005
  • Let $\{A_u,\;u=0,\;1,\;2,\;{\cdots}\}$ be a sequence of coefficient matrices such that ${\sum}_{u=0}^{\infty}{\parallel}A_u{\parallel}<{\infty}$ and ${\sum}_{u=0}^{\infty}\;A_u{\neq}O_{m{\times}m}$, where for any $m{\times}m(m{\geq}1)$, matrix $A=(a_{ij})$, ${\parallel}A{\parallel}={\sum}_{i=1}^m{\sum}_{j=1}^m{\mid}a_{ij}{\mid}$ and $O_{m{\times}m}$ denotes the $m{\times}m$ zero matrix. In this paper, a functional central limit theorem is derived for a stationary m-dimensional linear process ${\mathbb{X}}_t$ of the form ${\mathbb{X}_t}={\sum}_{u=0}^{\infty}A_u{\mathbb{Z}_{t-u}}$, where $\{\mathbb{Z}_t,\;t=0,\;{\pm}1,\;{\pm}2,\;{\cdots}\}$ is a stationary sequence of linearly positive quadrant dependent m-dimensional random vectors with $E({\mathbb{Z}_t})={{\mathbb{O}}$ and $E{\parallel}{\mathbb{Z}_t}{\parallel}^2<{\infty}$.

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Stationary Bootstrap for U-Statistics under Strong Mixing

  • Hwang, Eunju;Shin, Dong Wan
    • Communications for Statistical Applications and Methods
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    • v.22 no.1
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    • pp.81-93
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    • 2015
  • Validity of the stationary bootstrap of Politis and Romano (1994) is proved for U-statistics under strong mixing. Weak and strong consistencies are established for the stationary bootstrap of U-statistics. The theory is applied to a symmetry test which is a U-statistic regarding a kernel density estimator. The theory enables the bootstrap confidence intervals of the means of the U-statistics. A Monte-Carlo experiment for bootstrap confidence intervals confirms the asymptotic theory.

THE GEODETIC NUMBER OF A GRAPH

  • Kim, Byung-Kee
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.525-532
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    • 2004
  • For two vertices u and v of an oriented graph D, the set I(u, v) consists of all vertices lying on a u-v geodesic or v-u geodesic in D. If S is a set of vertices of D, then I(S) is the union of all sets 1(u, v) for vertices u and v in S. The geodetic number g(D) is the minimum cardinality among the subsets S of V(D) with I(S) = V(D). In this paper, we give a partial answer for the conjecture by G. Chartrand and P. Zhang and present some results on orient able geodetic number.

Signed degree sequences in signed 3-partite graphs

  • Pirzada, S.;Dar, F.A.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.11 no.2
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    • pp.9-14
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    • 2007
  • A signed 3-partite graph is a 3-partite graph in which each edge is assigned a positive or a negative sign. Let G(U, V, W) be a signed 3-partite graph with $U\;=\;\{u_1,\;u_2,\;{\cdots},\;u_p\},\;V\;=\;\{v_1,\;v_2,\;{\cdots},\;v_q\}\;and\;W\;=\;\{w_1,\;w_2,\;{\cdots},\;w_r\}$. Then, signed degree of $u_i(v_j\;and\;w_k)$ is $sdeg(u_i)\;=\;d_i\;=\;d^+_i\;-\;d^-_i,\;1\;{\leq}\;i\;{\leq}\;p\;(sdeg(v_j)\;=\;e_j\;=\;e^+_j\;-\;e^-_j,\;1\;{\leq}\;j\;{\leq}q$ and $sdeg(w_k)\;=\;f_k\;=\;f^+_k\;-\;f^-_k,\;1\;{\leq}\;k\;{\leq}\;r)$ where $d^+_i(e^+_j\;and\;f^+_k)$ is the number of positive edges incident with $u_i(v_j\;and\;w_k)$ and $d^-_i(e^-_j\;and\;f^-_k)$ is the number of negative edges incident with $u_i(v_j\;and\;w_k)$. The sequences ${\alpha}\;=\;[d_1,\;d_2,\;{\cdots},\;d_p],\;{\beta}\;=\;[e_1,\;e_2,\;{\cdots},\;e_q]$ and ${\gamma}\;=\;[f_1,\;f_2,\;{\cdots},\;f_r]$ are called the signed degree sequences of G(U, V, W). In this paper, we characterize the signed degree sequences of signed 3-partite graphs.

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