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DISTRIBUTIONAL SOLUTIONS OF WILSON'S FUNCTIONAL EQUATIONS WITH INVOLUTION AND THEIR ERDÖS' PROBLEM

  • Chung, Jaeyoung
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.4
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    • pp.1157-1169
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    • 2016
  • We find the distributional solutions of the Wilson's functional equations $$u{\circ}T+u{\circ}T^{\sigma}-2u{\otimes}v=0,\\u{\circ}T+u{\circ}T^{\sigma}-2v{\otimes}u=0,$$ where $u,v{\in}{\mathcal{D}}^{\prime}({\mathbb{R}}^n)$, the space of Schwartz distributions, T(x, y) = x + y, $T^{\sigma}(x,y)=x+{\sigma}y$, $x,y{\in}{\mathbb{R}}^n$, ${\sigma}$ an involution, and ${\circ}$, ${\otimes}$ are pullback and tensor product of distributions, respectively. As a consequence, we solve the $Erd{\ddot{o}}s$' problem for the Wilson's functional equations in the class of locally integrable functions. We also consider the Ulam-Hyers stability of the classical Wilson's functional equations $$f(x+y)+f(x+{\sigma}y)=2f(x)g(y),\\f(x+y)+f(x+{\sigma}y)=2g(x)f(y)$$ in the class of Lebesgue measurable functions.

Zur Anwendbarkeit der Dependenzgrammatik im DaF-Unterricht - In Bezug auf die Valenzkonzepte van Kalevi Tarvainen - (DaF-수업에서 의존문법의 이용가능성 - Kalevi Tarvainen의 이론을 중심으로 -)

  • Rhie Jum-Chool
    • Koreanishche Zeitschrift fur Deutsche Sprachwissenschaft
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    • v.9
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    • pp.237-260
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    • 2004
  • Das Ziel dieses Aufsatzes liegt darin, die Valenzkonzepte und Satzmodelle von Kalevi Tarvainen zusammenzustellen, und auf die dependenzielle kontrastive Beschreibung des Deutschen und der Muttersprache des Deutschlernenden einzugehen, und ihre Prinzipien und Probleme kurz zu betrachten. Prinzipiell eignet sich die Dependenzgrammatik ebenso gut fur den muttersprachlichen Unterricht des Deutschen wie $f\"{u}r$ den Unterricht des Deutschen als Fremdsprache. Die Grundkategorien der Dependenzgrammatik, d.h. die hierarchische Dependenzbeschreibung mit dem Verb als Ausgangspunkt, die Valenz, die $Erg\"{a}nzungs- und$ Angabestruktur des Satzes, sind an sich fur den Fremdspracheunterricht gut verwendbar. $Ausl\"{a}ndische$ Deutschlernende haben als Ausgangssprache ihre eigene Sprache, $f\"{u}r$ deren Beschreibung sich die $f\"{u}r$ die Zielsprache verwendete Grammatiktheorie auch eignen muss. $\"{U}berdies$ muss $f\"{u}r$ alle Fremdsprachen, die ein $Sch\"{u}ler$ lernt, dieselbe Grammatiktheorie verwendbar sein. Die Dependenzgrammatik hat gute Voraussetzungen, zu einer allgemeinen Theorie $f\"{u}r$ den Fremdsprachenunterricht zu werden. Beim Vergleich der Sprachen muss man als Tertium comparationis vom 'Gemeinten' ausgehen. Wenn die deutlich detinierbaren Inhalte nicht vorhanden sind, muss man von den Formen ausgehen. Beim Erlernen der deutschen $S\"{a}tze$ $k\"{o}nnen$ die Grundkategorien der Dependenzgrammatik, die Klassitizierung der $Erg\"{a}nzungen$ und die Satzmodelle des deutschen Verbs und Adjektivs dem Deutschlernenden $gro{\ss}e$ Hilfe leisten.

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On the Decomposition of Cyclic G-Brauer's Centralizer Algebras

  • Vidhya, Annamalai;Tamilselvi, Annamalai
    • Kyungpook Mathematical Journal
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    • v.62 no.1
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    • pp.1-28
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    • 2022
  • In this paper, we define the G-Brauer algebras $D^G_f(x)$, where G is a cyclic group, called cyclic G-Brauer algebras, as the linear span of r-signed 1-factors and the generalized m, k signed partial 1-factors is to analyse the multiplication of basis elements in the quotient $^{\rightarrow}_{I_f}^G(x,2k)$. Also, we define certain symmetric matrices $^{\rightarrow}_T_{m,k}^{[\lambda]}(x)$ whose entries are indexed by generalized m, k signed partial 1-factor. We analyse the irreducible representations of $D^G_f(x)$ by determining the quotient $^{\rightarrow}_{I_f}^G(x,2k)$ of $D^G_f(x)$ by its radical. We also find the eigenvalues and eigenspaces of $^{\rightarrow}_T_{m,k}^{[\lambda]}(x)$ for some values of m and k using the representation theory of the generalised symmetric group. The matrices $T_{m,k}^{[\lambda]}(x)$ whose entries are indexed by generalised m, k signed partial 1-factors, which helps in determining the non semisimplicity of these cyclic G-Brauer algebras $D^G_f(x)$, where G = ℤr.

Characteristics of TiO2 Thin Films Fabricated by R.E, Magnetron Sputtering (R.F Magnetron Sputtering법으로 제조한 TiO2 박막의 특성)

  • Chu Y. H.;Choi D. K.
    • Korean Journal of Materials Research
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    • v.14 no.11
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    • pp.821-827
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    • 2004
  • Titanium oxide thin films were prepared on Si(100) substrates by R.F. magnetron reactive sputtering at $30\sim200watt$ R.F power range, and annealed at $600^{\circ}C\sim800^{\circ}C$ for 1 hour. The properties of $TiO_2$ thin films were analyzed using x-ray, ${\alpha}-step$, ellipsometer, scanning electron microscopy, and FT-IR spectrometer. Upon in-situ depositions, the initial phase of $TiO_2$ thin film showed non-crystalline phase at R.F. power $30\sim100$ watt. The crosssection of $TiO_2$ thin films were sbserved to be the columnar structure. With the increasing R.F power and annealing temperature, the grain size, crystallinity, refractive index, and void size of titanium oxides showed a tended to increase. The FT-IR transmittance spectra of titanium oxide thin films have the obsorption band of Ti-O bond, Si-O bond, Si-O-Ti bond and O-H bond. With the increase of R.F. power and annealing temperature, these films have the stronger bond structures. It is considered that such a phenomena is due to phase transition and good crystallinity

Affect of Organic materials defending on the Electrical Characteristics of Red OLEDs (적색 OLEDs 전기적 특성에 미치는 유기물 (H-D)의 영향)

  • Oh, Dong-Hoon;Lim, Jin-Taek;Lee, Moo-Ah;Moon, Sun-Young;Jang, Kwon-Woo;Choi, Hyun-Min;Kim, Weon-Jong;Hong, Jin-Woong
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2009.06a
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    • pp.310-310
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    • 2009
  • In the two structure of ITO/N,N'-diphenyl-N,N' bis (3-methylphenyl)-1,1'-biphenyl-4,4'-diamine(TPD)/R-H : R-D/Al device, ITO/Amorphous Fluoropolymers/TPD/R-H : R-D/LiF/Al device. we studied the effect of organic materials defending on the electrical characteristics of red OLEDs. The thickness of TPD and R-H : R-D was manufactured 40 nm, 60 nm, respectively under a base pressure of $5\times10^{-6}$Torr using a thermal evaporation. The AF used for an hole-injection is the thickness of 0.5 [nm] and the LiF used for an electron-injection is the thickness of 0.5 [nm]. Compared to the two from the devices made with the hole injection and without hole injection We found that the luminous efficiency and the external quantum efficiency are improved a fact of one- hundred, two, respectively.

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Using Non-Local Features to Improve Named Entity Recognition Recall

  • Mao, Xinnian;Xu, Wei;Dong, Yuan;He, Saike;Wang, Haila
    • Proceedings of the Korean Society for Language and Information Conference
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    • 2007.11a
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    • pp.303-310
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    • 2007
  • Named Entity Recognition (NER) is always limited by its lower recall resulting from the asymmetric data distribution where the NONE class dominates the entity classes. This paper presents an approach that exploits non-local information to improve the NER recall. Several kinds of non-local features encoding entity token occurrence, entity boundary and entity class are explored under Conditional Random Fields (CRFs) framework. Experiments on SIGHAN 2006 MSRA (CityU) corpus indicate that non-local features can effectively enhance the recall of the state-of-the-art NER systems. Incorporating the non-local features into the NER systems using local features alone, our best system achieves a 23.56% (25.26%) relative error reduction on the recall and 17.10% (11.36%) relative error reduction on the F1 score; the improved F1 score 89.38% (90.09%) is significantly superior to the best NER system with F1 of 86.51% (89.03%) participated in the closed track.

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Development of Underwater Rocket Propulsion System for High-speed Cruises (고속 주행을 위한 수중용 로켓추진기관 개발)

  • Kwon, Minchan;Yoo, Youngjoon;Heo, Junyoung;Hwang, Heeseong
    • Journal of the Korean Society of Propulsion Engineers
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    • v.23 no.3
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    • pp.112-118
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    • 2019
  • The development of an underwater rocket propulsion system was described in this paper. Throttle able liquid propellant and hybrid rocket propulsion systems were selected for underwater propulsion. A subscale liquid rocket combustion chamber and it's portable stand were developed and their applicability was examined. 1.5-ton.f and 1.8-ton.f hybrid rockets were developed for underwater applications. The test results indicated that the 18-ton.f hybrid rocket fully complies to the performance and underwater cruise stability requirements; thus, its development was concluded to be successfully complete.

Identification of QTLs controlling somatic embryogenesis using RI population of cultivar ${\times}$ weedy soybean

  • Choi, Pilson;Mano, Yoshiro;Ishikawa, Atsuko;Odashima, Masashi;Umezawa, Taishi;Fujimura, Tatsuhito;Takahata, Yoshihito;Komatsuda, Takao
    • Plant Biotechnology Reports
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    • v.4 no.1
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    • pp.23-27
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    • 2010
  • Quantitative trait loci (QTLs) controlling ability of somatic embryogenesis were identified in soybean. A frame map with 204-point markers was developed using an RI population consisting of 117 $F_{11}$ lines derived from a cross between cultivar 'Keburi' and a weedy soybean 'Masshokutou Kou 502'. The parents differed greatly in their abilities of somatic embryogenesis using immature cotyledons as explants. The ability of somatic embryogenesis was evaluated in five different experiments: the $F_{11}$ (evaluated in 1998) and $F_{15}$ (2002) generations cultured on basal media supplemented with $40\;mg\;l^{-1}$ 2,4-D (2,4-D1998 and 2,4-D2002), $F_{14}$ (2001) generation on medium with $40\;mg\;l^{-1}$ 2,4-D and high sucrose concentration [2,4-D2001 ($30\;g\;l^{-1}$ sucrose)], and the $F_{11}$ (1998) and $F_{12}$ (1999) generations on medium with $10\;mg\;l^{-1}$ NAA (NAA1998 and NAA1999). The RILs showed wide and continuous variations in each of the five experiments. In the composite interval mapping analysis, 2 QTLs were found in group 8 (D1b + W, LOD = 5.42, $r^2$ = 37.5) in the experiment of 2,4-D1998 and in group 6 (C2, LOD = 6.03, $r^2$ = 26.0) in the experiment of 2,4-D2001 (high concentration sucrose). In both QTLs, alleles of 'Masshokutou Kou 502' with high ability of somatic embryogenesis contributed to the QTLs. For the other three experiments, no QTL was detected in the criteria of LOD >3.0, suggesting the presence of minor genes.

DdeI Polymorphism in Coding Region of Goat POU1F1 Gene and Its Association with Production Traits

  • Lan, X.Y.;Pan, C.Y.;Chen, H.;Lei, C.Z.;Hua, L.S.;Yang, X.B.;Qiu, G.Y.;Zhang, R.F.;Lun, Y.Z.
    • Asian-Australasian Journal of Animal Sciences
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    • v.20 no.9
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    • pp.1342-1348
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    • 2007
  • POU1F1 is a positive regulator for GH, PRL and TSH${\beta}$ and its mutations associate with production traits in ruminant animals. We described a DdeI PCR-RFLP method for detecting a silent allele in the goat POU1F1 gene: TCT (241Ser)>TCG (241Ser). Frequencies of $D_1$ allele varied from 0.600 to 1.000 in Chinese 801 goats. Significant associations of DdeI polymorphism with production traits were found in milk yield (*p<0.05), litter size (*p<0.05) and one-year-old weight (*p<0.05) between different genotypes. Individuals with genotype $D_1D_1$ had a superior performances when compared to those with genotype $D_1D_2$ (*p<0.05). Hence, the POU1F1 gene was suggested to the potential candidate gene for superior milk performance, reproduction trait and weight trait. Genotype $D_1D_1$, characterized by a DdeI PCR-RFLP detection, was recommended to geneticists and breeders as a molecular marker for better performance in the goat industry.

A Design of Dual-Polarized Microstrip Antenna Using the Active Devices (능동소자를 이용한 이중편파 특성의 마이크로스트립 안테나 설계)

  • 임규재;윤현보
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.3
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    • pp.573-581
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    • 1994
  • A microstrip antenna having a dual polarization and a smaller size than feed horn polarizer of F.R.R.S(Faraday Rotation Rotary Switch) is designed, in which GaAs MESFET switches are inserted for selective reception of RHCP or LHCP. For an accurate analysis of the resonance frequency, input impedance and radiation pattern of the circularly polarized microstrip antenna, finite difference time domain (FDTD) method is used. When the GaAs MESFET switch in the feeder is ON-stats, the truncated patch antenna has a gain of about 16.6dB including amplifier gain, while the switch is OFF-state, this has a isolation level of -24dB.

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