• Title/Summary/Keyword: Q&As

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CRITICAL BLOW-UP AND EXTINCTION EXPONENTS FOR NON-NEWTON POLYTROPIC FILTRATION EQUATION WITH SOURCE

  • Zhou, Jun;Mu, Chunlai
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.6
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    • pp.1159-1173
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    • 2009
  • This paper deals with the critical blow-up and extinction exponents for the non-Newton polytropic filtration equation. We reveals a fact that the equation admits two critical exponents $q_1,\;q_2\;{\in}\;(0,+{\infty})$) with $q_1\;{<}\;q_2$. In other words, when q belongs to different intervals (0, $q_1),\;(q_1,\;q_2),\;(q_2,+{\infty}$), the solution possesses complete different properties. More precisely speaking, as far as the blow-up exponent is concerned, the global existence case consists of the interval (0, $q_2$]. However, when q ${\in}\;(q_2,+{\infty}$), there exist both global solutions and blow-up solutions. As for the extinction exponent, the extinction case happens to the interval ($q_1,+{\infty}$), while for q ${\in}\;(0,\;q_1$), there exists a non-extinction bounded solution for any nonnegative initial datum. Moreover, when the critical case q = $q_1$ is concerned, the other parameter ${\lambda}$ will play an important role. In other words, when $\lambda$ belongs to different interval (0, ${\lambda}_1$) or (${\lambda}_1$,+${\infty}$), where ${\lambda}_1$ is the first eigenvalue of p-Laplacian equation with zero boundary value condition, the solution has completely different properties.

Development of Quality Assessment Tool and Application to Customer-Oriented Hospital Foodservice Management (고객지향적 병원 급식서비스 운영을 위한 질 평가 도구 개발 및 적용)

  • 이해영;장승희;양일선
    • Journal of Nutrition and Health
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    • v.37 no.4
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    • pp.329-338
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    • 2004
  • The purposes of this study were to : a) develop the quality assessment tool of hospital foodservice management, b) evaluate the S hospital's foodservice quality by this tool, and c) do the feasibility study about this tool in hospital food-service field by establishing quality management strategies. The developed quality assessment tool of hospital food-service management was consisted of 20 items for quality evaluation by Likert 5 point scale and two additional questions with the most satisfactory item and the most unsatisfactory item. As a result of evaluation, S hospital's foodservice quality was somewhat high, on the factor 'personnel attitude', especially. The IPA technique proved nine items including Q5, Q7, Q8, Q11, Q12, Q13, Q15, Q16, Q17 were in 'Doing Great, Keep It Up' and seven items such as Q1, Q2, Q3, Q6, Q9, Q18, Q19 that got high expectation and low perception needed to be focused in quality management strategy.

A consideration on the one dimensional q-wavelet

  • Watanabe, Takashi;Tanaka, Masaru;Mishima, Taketoshi
    • Proceedings of the IEEK Conference
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    • 2002.07a
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    • pp.393-396
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    • 2002
  • In this paper, we give the definitions of the q-Haar and q-Gabor wavelet. Instead of using the conventional Gaussian distribution as a kernel of the Gabor wavelet, if the q-normal distribution is used, we can get the q-Gabor wavelet as a possible generalization of the Gabor wavelet. The q-normal distribution, which is given by the author, is one of the generalized Gaussian distribution. On the other hand, if two sets of the q-normal distribution are connected anti-symmetrically, we can get the q-Haar wavelet as a possible generalization of the Haiw wavelet. We give experiments on the q-eabor and q-Haar wavelet and discuss about the q-Gabor and q-Haar wavelet.

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Topologies of Active-Switched Quasi-Z-source Inverters with High-Boost Capability

  • Ho, Anh-Vu;Chun, Tae-Won
    • Journal of Power Electronics
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    • v.16 no.5
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    • pp.1716-1724
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    • 2016
  • This paper proposes both an active-switched quasi-Z-source inverter (AS-qZSI) and an extended active-switched qZSI (EAS-qZSI), which are based on the classic qZSI. The proposed AS-qZSI adds only one active switch and one diode to the classic qZSI for increasing the voltage boost capability. Compared with other topologies based on the switched-inductor/capacitor qZSI, the proposed AS-qZSI requires fewer passive components in the impedance network under the same boost capability. Additionally, the proposed EAS-qZSI is designed by adding one inductor and three diodes to the AS-qZSI, which offers enhanced boost capability and lower voltage stress across the switches. The performances of the two proposed topologies are verified by simulation and experimental results obtained from a prototype with a 32-bit DSP built in a laboratory.

Effect of consecutive shoot-cutting for 3 years on saplings' sprouting regeneration ability of six deciduous oak species in Korea

  • Lee, Seung-Yeon;Cho, Kyu-Tae;Jang, Rae-Ha;You, Young-Han
    • Journal of Ecology and Environment
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    • v.41 no.3
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    • pp.66-71
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    • 2017
  • Background: The sprouts of oak species play an important role in maintaining the oak community in a disturbed environment. In this study, we cut 1-year-old oak in three times during the 3 years and measured the sprout responses to know sprouting ability of six deciduous oaks in Korea. Results: Oak sprouts have appeared in spring and fall, and some of the sprouts had lifespan as short as a month. As the number of cutting increases, sprout number of Quercus acutissima increased whereas the other oak species decreased or died. The average number of sprouts over the 3 years was from 1.4 (Quercus mongolica) to 2.2 (Q. acutissima) per individual. Quercus serrata died after the second cutting, and Quercus dentata died after the third cutting. So, the two species have the lowest sprouting ability among six oak species. The sprouts grew actively during fall and slowly in summer. The sprout length during the 3 years was in the following descending order: Q. acutissima, Quercus aliena, Q. dentata, and Q. mongolica. Sprout of Q. acutissima and Q. aliena generated steadily over the 3 years, and sprout of Quercus variabilis and Q. mongolica was changed by year. After the 3 years, the number of sprouts increased only in Q. acutissima but sprout number of the other five oak species decreased. The sprout length of Q. acutissima, Q. aliena, and Q. variabilis increased, but sprout length of the other three oak species decreased. The average survival rate of saplings over the 3 years was in the following descending order: Q. acutissima, Q. aliena, Q. variabilis, and Q. mongolica. Conclusions: As a result, the sprouting ability of Q. acutissima was the highest. Such level of sprouting ability may be the evidence of how Q. acutissima community exists as a dominant species in a disturbed environment in lowlands of Korea peninsula.

A Preliminary Study to the Validity of 'Attachment Q-set' as a Measuring Tool for 5 Years' Attachment (만 5세 애착측정도구로서의 '애착 Q-set' 예비 타당도 연구)

  • Seo, Seon Ok;Shim, Mi Kyung
    • Korean Journal of Child Studies
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    • v.36 no.3
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    • pp.175-194
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    • 2015
  • The purpose of this preliminary study was to investigate the validity of the 'Attachment Q-set' as a measuring tool for 5 years attachment stability. The subjects comprised 18 boys and 15 girls aged 5 in a daycare center in G city, in Kyongnam. The instruments used in this study were 'Attachment Q-set', ASCT, and IPPA-R. Based on experts' rating, the Q-set was modified, reducing it from 90 to 75 items, and used a Likert 5-points scale. ASCT scores as well as types were compared with the scores of the Q-set and IPPA-R. The attachment type was classified into either secure or insecure. The IPPA-R score of the secure infants was significantly higher than the insecure, and correlated with the ASCT score. However, there was no significant correlation between the Q-set score with the attachment types or the ASCT scores. The Q-set scores were partially correlated with the IPPA-R. This results were discussed in terms of the Q-set's invalidity for rating attachment levels of 5 years as well as the limitations imposed by the subjects' restrictive numbers.

ON A q-FOCK SPACE AND ITS UNITARY DECOMPOSITION

  • Ji, Un-Cig;Kim, Young-Yi
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.1
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    • pp.53-62
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    • 2006
  • A Fock representation of q-commutation relation is studied by constructing a q-Fock space as the space of the representation, the q-creation and q-annihilation operators (-1 < q < 1). In the case of 0 < q < 1, the q-Fock space is interpolated between the Boson Fock space and the full Fock space. Also, a unitary decomposition of the q-Fock space $(q\;{\neq}\;0)$ is studied.

A NEW MODELLING OF TIMELIKE Q-HELICES

  • Yasin Unluturk ;Cumali Ekici;Dogan Unal
    • Honam Mathematical Journal
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    • v.45 no.2
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    • pp.231-247
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    • 2023
  • In this study, we mean that timelike q-helices are curves whose q-frame fields make a constant angle with a non-zero fixed axis. We present the necessary and sufficient conditions for timelike curves via the q-frame to be q-helices in Lorentz-Minkowski 3-space. Then we find some results of the relations between q-helices and Darboux q-helices. Furthermore, we portray Darboux q-helices as special curves whose Darboux vector makes a constant angle with a non-zero fixed axis by choosing the curve as one of the types of q-helices, and also the general case.

Structure-Property Relationship of PVA-SbQ Water Soluble Photosensitive Polymer and its Application to Screening Process of Color Monitor (PVA-SbQ 수용성 감광성 고분자의 구조와 감도관계 및 칼라 수상관 스크린 공정에의 응용)

  • Park, Lee Soon;Han, Yoon Soo;Kim, Bong Chul
    • Applied Chemistry for Engineering
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    • v.7 no.2
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    • pp.379-386
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    • 1996
  • Photosensitive compound, 1-methyl-4-[2-(4-diethylacetylphenyl)ethenyl] pridinium methosulfate(SbQ-A salt), was synthesized from dimethyl sulfate, terephthalaldehyde mono-(diethylacetal) and 4-picoline. SbQ-A salts were reacted with poly(vinyl alcohol)s, (PVA) in aqueous solution with phosphoric acid as catalyst to give photosensitive PVA-SbQ with different SbQ content and molecular weight. Relative photosensitivity of PVA-SbQ was determined by gray scale(GS) method. The rotative sensitivity of PVA-SbQ increased with increasing amount of bound SbQ in the case of high molecular weight(MW=77,000-79,000g/mol) as substrate and decreased with decreasing molecular weight of PVA with about constant(1.3mol%) amount of bound SbQ. The most sensitive polymer was obtained when SbQ group content in PVA-SbQ reached about 2.63mol% in the case of high molecular weight(77,000-79,000g/mol) PVA. This sample showed 90 times greater sensitivity than dichromated PVA as reference photosensitive system. PVA-SbQ photosensitive polymer synthesized was applied to the photolithographic screening process of phosphor on the panel of cathode ray tube(CRT). Phosphor slurry was made with PVA-SbQ, phosphor, a small amount of surfactant and other additives using water as medium. The slurry was coated onto panel, dried by heater, exposed to UV light and then developed by distilled water. When a small amount of cationic surfactant such as cetyltrimethylammonium chloride was used in the slurry formulation, the sharpness of phosphor pattern was equal to or better than that of dichromated PVA photosensitive polymer system used currently.

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A p-DEFORMED q-INVERSE PAIR AND ASSOCIATED POLYNOMIALS INCLUDING ASKEY SCHEME

  • Savalia, Rajesh V.
    • Communications of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.1175-1199
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    • 2019
  • We construct a general bi-basic inverse series relation which provides extension to several q-polynomials including the Askey-Wilson polynomials and the q-Racah polynomials. We introduce a general class of polynomials suggested by this general inverse pair which would unify certain polynomials such as the q-extended Jacobi polynomials and q-Konhauser polynomials. We then emphasize on applications of the general inverse pair and obtain the generating function relations, summation formulas involving the associated polynomials and derive the p-deformation of some of the q-analogues of Riordan's classes of inverse series relations. We also illustrate the companion matrix corresponding to the general class of polynomials; this is followed by a chart showing the reducibility of the extended p-deformed Askey-Wilson polynomials as well as the extended p-deformed q-Racah polynomials.