• Title/Summary/Keyword: M-G Set

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Entire Functions and Their Derivatives Share Two Finite Sets

  • Meng, Chao;Hu, Pei-Chu
    • Kyungpook Mathematical Journal
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    • v.49 no.3
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    • pp.473-481
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    • 2009
  • In this paper, we study the uniqueness of entire functions and prove the following theorem. Let n(${\geq}$ 5), k be positive integers, and let $S_1$ = {z : $z^n$ = 1}, $S_2$ = {$a_1$, $a_2$, ${\cdots}$, $a_m$}, where $a_1$, $a_2$, ${\cdots}$, $a_m$ are distinct nonzero constants. If two non-constant entire functions f and g satisfy $E_f(S_1,2)$ = $E_g(S_1,2)$ and $E_{f^{(k)}}(S_2,{\infty})$ = $E_{g^{(k)}}(S_2,{\infty})$, then one of the following cases must occur: (1) f = tg, {$a_1$, $a_2$, ${\cdots}$, $a_m$} = t{$a_1$, $a_2$, ${\cdots}$, $a_m$}, where t is a constant satisfying $t^n$ = 1; (2) f(z) = $de^{cz}$, g(z) = $\frac{t}{d}e^{-cz}$, {$a_1$, $a_2$, ${\cdots}$, $a_m$} = $(-1)^kc^{2k}t\{\frac{1}{a_1},{\cdots},\frac{1}{a_m}\}$, where t, c, d are nonzero constants and $t^n$ = 1. The results in this paper improve the result given by Fang (M.L. Fang, Entire functions and their derivatives share two finite sets, Bull. Malaysian Math. Sc. Soc. 24(2001), 7-16).

Industry Activation Scheme through mVoIP Technology Trends and Market Analysis (mVoIP 기술동향 및 시장분석을 통한 산업 활성화 방안)

  • Park, Se-Hwan;Park, Jong-Kyu;Kim, Cheong-Ghil
    • Journal of Digital Contents Society
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    • v.13 no.4
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    • pp.477-482
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    • 2012
  • The mVoIP service is the technology which focuses on the wireless data service as the IP network having the transmission rate of 100 Mbps classes on the high-speed middle of movement through the WiFi, WiBro and 3G mobile radio communication network, and etc. and is developed. Since 2010, the mVoIP (mobile VoIP) service shows the rapid growth due to 4G-LTE service seriously disclosed from July with the Smart phone and 2,011 it begins to be rapidly popularized. In this research, additionally the mVoIP service industry activation plan is presented with the trends of technology development including the chip-set/module/terminal, etc. based upon local and foreign market trend searchlight through the market demand analysis. The mVoIP service downloads App to the mobile apparatus and or can provide the service as the software through the WiFi network. Therefore, the change which is large in the products development aspect is to be have no. Expected to is being provided as the added service in the case of 4G-LTE as a matter of course, the service deployment where it is based on the market principle and demand needs is needed.

Synthesis and Physico-Chemical Properties of Dicalcium Phosphate Dihydrate for Dental Abrasive (치아 연마용 인산일수소칼슘의 합성 및 물리화학적 성질)

  • 서성수;황성주;이기명;이계주
    • YAKHAK HOEJI
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    • v.37 no.1
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    • pp.66-75
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    • 1993
  • Dental abrasive, dicalcium phosphate dehydrate (DCPD) was prepared and the several important factors affecting on the quality of toothpaste were investigated by means of set test, glycerine absorption, Coulter counter test, color difference, BET adsorption, mercury porosimetery, and rheogram comparing with two foreign DCPDs, MFO4 and Dentphos K. Sample DCPD was prepared by reaction between 85% H$_{3}$PO$_{4}$ and 15% milk of lime at $39^{\circ}C$ (pH6.5), and stabilized with TSPP and TMP. The physicochemical properties of Sample DCPD were obtained as follows: whiteness (98.99), average particle size (15.5 $\mu\textrm{m}$), pH (7.9), remainder particle weight (0.49w/w%), glycerine absorption value (64 ml), and set test (passed). N$_{2}$ adsorption curves (BET) of three kinds of DCPD showed non-porous type III isotherm. BET adsorption parameters of sample DCPD showed that surface area was 24.9 m$^{2}$/g, total pore volume 0.09 cm$^{3}$/g and average pore radius 72.0 $\AA$. The rheogram of the toothpaste containing each DCPD showed bulged plastic flow with yield vlaue and thixotropic behavior. These results meet standard requirements as abrasive standard, and suggested that synthesized sample DCPD could be used a dental abrasive such as a high quality grade in practice as foreign DCPDs.

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A study of Train Running Simulation for Electronic Performance Analysis of Propulsion (추진 장치의 전기적 성능 시험을 위한 열차 운행 모의 성능 분석 연구)

  • Kim, Young-Chan;Seo, Young-Ger;Lee, Byung-Song;Hong, Soon-Chan;Ko, Jung-Sun
    • The Transactions of the Korean Institute of Power Electronics
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    • v.12 no.6
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    • pp.483-490
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    • 2007
  • The aim of the paper is to analysis on train propulsion system and to study for energy saving. For this study, we make the program that simulate actual operation of the train route. The train running simulation is performed from starting station to 4th station by using the route datas of Deajeon Metro Subway. The study for control method of electrical motor and energy recovery to save energy is selected. The train propulsion system is constituted as a M-G Set, which is realized via Space Vector Modulation(SVM) - Direct Torque Control(DTC), the energy consumption during train operation and energy recovery during breaking is simulated by Simplorer program, from this result, the energy consumption and recovery of train with SVM-DTC is studied.

Measurement set-up for CMOS-based integrated circuits and systems at cryogenic temperature (CMOS 기반의 집적 회로 및 시스템을 위한 극저온 측정 환경 구축)

  • Hyeon-Sik Ahn;Yoonseuk Choi;Junghwan Han;Jae-Won Nam;Kunhee Cho;Jusung Kim
    • Journal of IKEEE
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    • v.28 no.2
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    • pp.174-179
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    • 2024
  • In this work, we introduce a complementary metal-oxide semiconductor(CMOS)-based integrated circuit(IC) measurement set-up for quantum computer control and read-out using a cryogenic refrigerator. CMOS circuits have to operate at extremely low temperatures of 3 to 5 K for qubit stability and noise reduction. The existing cryogenic measurement system is liquid helium quenching, which is expensive due to the long-term use of expendable resources. Therefore, we describe a cryogenic measurement system based on a closed cycle refrigerator (CCR) that is cost-free even when using helium gas for long periods of time. The refrigerator capable of reaching 4.7 K was built using a Gifford-Mcmahon(G-M) type cryocooler. This is expected to be a cryogenic refrigerator set-up with excellent price competitiveness.

ANALOGUE OF WIENER INTEGRAL IN THE SPACE OF SEQUENCES OF REAL NUMBERS

  • Ryu, Kun Sik
    • Journal of the Chungcheong Mathematical Society
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    • v.25 no.1
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    • pp.65-72
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    • 2012
  • Let T > 0 be given. Let $(C[0,T],m_{\varphi})$ be the analogue of Wiener measure space, associated with the Borel proba-bility measure ${\varphi}$ on ${\mathbb{R}}$, let $(L_{2}[0,T],\tilde{\omega})$ be the centered Gaussian measure space with the correlation operator $(-\frac{d^{2}}{dx^{2}})^{-1}$ and ${\el}_2,\;\tilde{m}$ be the abstract Wiener measure space. Let U be the space of all sequence $<c_{n}>$ in ${\el}_{2}$ such that the limit $lim_{{m}{\rightarrow}\infty}\;\frac{1}{m+1}\;\sum{^{m}}{_{n=0}}\;\sum_{k=0}^{n}\;c_{k}\;cos\;\frac{k{\pi}t}{T}$ converges uniformly on [0,T] and give a set function m such that for any Borel subset G of $\el_2$, $m(\mathcal{U}\cap\;P_{0}^{-1}\;o\;P_{0}(G))\;=\tilde{m}(P_{0}^{-1}\;o\;P_{0}(G))$. The goal of this note is to study the relationship among the measures $m_{\varphi},\;\tilde{\omega},\;\tilde{m}$ and $m$.

Industry Activation Scheme through mVoIP Technology Trends and Market Analysis

  • Park, Se-Hwan;Park, Jong-Kyu;Kim, Cheong-Ghil
    • International journal of advanced smart convergence
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    • v.1 no.2
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    • pp.59-63
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    • 2012
  • The mVoIP service is the technology which focuses on the wireless data service as the IP network having the transmission rate of 100 Mbps classes on the high-speed middle of movement through the WiFi, WiBro and 3G mobile radio communication network, and etc. and is developed. Since 2010, the mVoIP (mobile VoIP) service shows the rapid growth due to 4G-LTE service seriously disclosed from July with the Smart phone and 2,011 it begins to be rapidly popularized. In this research, additionally the mVoIP service industry activation plan is presented with the trends of technology development including the chip-set/module/terminal, etc. based upon local and foreign market trend searchlight through the market demand analysis. The mVoIP service downloads App to the mobile apparatus and or can provide the service as the software through the WiFi network. Therefore, the change which is large in the products development aspect is to be have no. Expected to is being provided as the added service in the case of 4G-LTE as a matter of course, the service deployment where it is based on the market principle and demand needs is needed.

Effect of Extracts of Codonopsis lanceolata on Macrophage Activity and on the Growth of Lactic Starter Culture during Fermentation (더덕 추출물이 마크로파지 활성과 발효 중 젖산균 성장에 미치는 영향)

  • Lim Sang-Dong;Kim Kee-Sung;Do Jung-Ryong
    • Food Science of Animal Resources
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    • v.26 no.1
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    • pp.136-143
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    • 2006
  • We examined the macrophage activity of Codonopsis lanceolata and its effect on the growth of lactic starter culture when it was added to fermented milk. Nitric oxide(NO) and interleukin-1${\alpha}(IL-1{\alpha})$ were increased significantly(p<0.05) by addition of Codonopsis lanceolata water extract at $1,000\;{\mu}g/mL$. Tumer necrosis factor-${\alpha}(TNF-{\alpha})$ was increased significantly (p<0.05) by addition of Codonopsis lanceolata water extract or 70% ethanol extract at $1,000\;{\mu}g/mL$. Water extract of Codonopsis lanceolata showed higher macrophage activity than 70% ethanol extract. Growth of lactic starter culture was inhibited by the increased addition of Codonopsis lanceolata water extract, resulting in less decrease in pH. A stirred type or drink type fermentation process seemed mote suitable than a set type in proper production of Codonopsis lanceolata extract added fermented milk.

An analysis of the $M^{X}/G/1$ system with various vacations and set-up time (준비기간을 포함한 다양한 휴가형태에서의 $M^{X}/G/1$ 시스템 분석)

  • Hur, Sun;Yoon, Young-Ho;Ahn, Sun-Eung
    • Journal of the Korean Operations Research and Management Science Society
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    • v.27 no.2
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    • pp.111-121
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    • 2002
  • In this paper, we analyze an M$^{x}$ /G/1 with three types of vacation periods including setup time. Three types of vacations are : N-policy, single vacation, and multiple vacation. We consider compound poisson arrival process and general service time, where the server starts his service when a setup is completed. We find the PGF of the number of customers in system and LST of waiting time, with welch we obtain their means. A decomposition property for the system sloe and waiting time is described also.

RADIO LABELING AND RADIO NUMBER FOR GENERALIZED CATERPILLAR GRAPHS

  • NAZEER, SAIMA;KHAN, M. SAQIB;KOUSAR, IMRANA;NAZEER, WAQAS
    • Journal of applied mathematics & informatics
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    • v.34 no.5_6
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    • pp.451-465
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    • 2016
  • A Radio labeling of the graph G is a function g from the vertex set V (G) of G to ℤ+ such that |g(u) - g(v)| ≥ diam(G) + 1 - dG(u, v), where diam(G) and d(u, v) are diameter and distance between u and v in graph G respectively. The radio number rn(G) of G is the smallest number k such that G has radio labeling with max{g(v) : v ∈ V(G)} = k. We investigate radio number for some families of generalized caterpillar graphs.