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LIE ALGEBRA AND OPERATIONAL TECHNIQUES ON THREE-VARIABLE HERMITE POLYNOMIALS

  • Shahwan, M.J.S.;Bin-Saad, Maged G.
    • The Pure and Applied Mathematics
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    • v.24 no.1
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    • pp.35-44
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    • 2017
  • The present paper aims at harnessing the technique of Lie Algebra and operational methods to derive and interpret generating relations for the three-variable Hermite Polynomials $H_n$(x, y, z) introduced recently in [2]. Certain generating relations for the polynomials related to $H_n$(x, y, z) are also obtained as special cases.

Investigation of Molybdenum Oxide Thin Films for CIGS Applications

  • Bin, Jun-Hyeong;Park, Ju-Yeon;Gang, Yong-Cheol
    • Proceedings of the Korean Vacuum Society Conference
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    • 2010.02a
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    • pp.388-388
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    • 2010
  • Molybdenum oxide thin films were deposited on p-type Si(100) by an RF magnetron sputtering method. The physical and chemical properties of these films were studied with X-ray diffraction (XRD) and X-ray photoelectron spectroscopy (XPS) techniques. The thickness of molybdenum oxide thin films was measured by spectroscopic ellipsometer (SE) and the thickness was about 200 nm. As the oxygen gas pressure increased, the thickness was decreased, the phases of the thin films were changed, and the amount of metallic Mo decreased but the contents of $Mo^{6+}$ species increases.

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Facile preparation of self-assembled wool-based graphene hydrogels by electron beam irradiation

  • Park, Mira;Pant, Bishweshwar;Choi, Jawun;Park, Yong Wan;Lee, Chohye;Shin, Hye Kyoung;Park, Soo-Jin;Kim, Hak-Yong
    • Carbon letters
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    • v.15 no.2
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    • pp.136-141
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    • 2014
  • Three dimensional self-assembled graphene hydrogels were easily fabricated by electron beam irradiation (EBI) using an aqueous solution of wool/poly(vinyl alcohol) and graphene oxide (GO). After exposure to various levels of EBI radiation, the highly porous, self-assembled, wool-based graphene hydrogels were characterized using scanning electron microscopy and Fourier-transform infrared spectroscopy; to determine the gel fraction, degree of swelling, gel strength, kinetics-of-swelling analyses and removal of hexavalent chromium (Cr(VI)) from the aqueous solution. X-ray diffraction results confirmed that EBI played a significantly important role in reducing GO to graphene. The adsorption equilibrium of Cr(VI) was reached within 80 min and the adsorption capacity was dramatically increased as the acidity of the initial solution was decreased from pH 5 to 2. Changes in ionic strength did not exert much effect on the adsorption behavior.

Composting Effectiveness of A Sundry System with A Bin-type Composter for Recyle of Animal Wastes (축분뇨처리를 위한 Bin형 부숙조- Sundry 시스템의 퇴비화효율 평가)

  • 최홍림;김현태;정영윤
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.35 no.2
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    • pp.92-103
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    • 1993
  • A sunday system with a horizontal bin-type composter was constructed and operated to evaluate its composting performance for four days for each test in October, 1992. A sundry system is one of popular systems for composting livestock manure, of which main benefit is to utilize unlimited, clean, and free solar radiation. A rectangular concrete bin(composter) with dimension of 300cm(length) X90cm(width) X60cm(height) was bedded alternatively with four lanes of aeration pipes and heating pipes, and was insulated at three walls with 50mm styrofoam. Each aeration pipe of a diameter of 25mm had 4mm perforated holes at every 15cm longitudinally, and supplied air of about 2m$^3$/min to the composter to maintain aerobic condition . A stirrer rotating at 1 rpm made one round trip every 20 minutes on the conveying chain along the the length of the composter. Five tests (Test 1~Test 5) were implemented to evaluate the composting effectiveness of a sundry system with a horizontal bin-type composter. Treatments of two levels of the mixture ratio of swine manure and paper sludge cakes(manure : paper sludge cakes= 1 : 4 and 1 : 2) and two levels of the water content(W/C ; 70% and 50%) were made to test the significance of the physicochemical properties for decomposition of the mixture materials. Temperature, C/N ratio, water content, microbial activity of the composting materials were taken measurements to evaluate its performance with the lapse of composting time for tests. A small-scale sundry system with a bin-type composter did not appear to be an appropriate system for composting livestock manure. Since heat generation by the composting materials could not overcome heat loss due to areation in a small-scale composter, a proper thermal enviroment could not be maintained to propagate massively thermopilic microorganism relatively in a short period of time. Different from the result of Chol et al.(1992) 6), a temperature variation of the composting materials did not show the peak clearly and C/N ratio didn't lower with time as expected. Mesophilic microoragnism seemed to play an important role for decomposition of the mixture materials. A sundry system with a bin-type composter may be good for a large-scale livestock farm household which may produce enough animal manure. Therefore a decision should be made very carefully to choose a system for composting livestock waste.

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Experimental Studies of neural Network Control Technique for Nonlinear Systems (신경회로망을 이용한 비선형 시스템 제어의 실험적 연구)

  • Jeong, Seul;Yim, Sun-Bin
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.11
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    • pp.918-926
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    • 2001
  • In this paper, intelligent control method using neural network as a nonlinear controller is presented. Simulation studies for three link rotary robot are performed. Neural network controller is implemented on DSP board in PC to make real time computing possible. On-line training algorithms for neural network control are proposed. As a test-bed, a large x-y table was build and interface with PC has been implemented. Experiments such as inverted pendulum control and large x-y table position control are performed. The results for different PD controller gains with neural network show excellent position tracking for circular trajectory compared with those for PD controller only. Neural control scheme also works better for controlling inverted pendulum on x-y table.

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ON DIVERSITY OF CERTAIN t-INTERSECTING FAMILIES

  • Ku, Cheng Yeaw;Wong, Kok Bin
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.4
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    • pp.815-829
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    • 2020
  • Let [n] = {1, 2, …, n} and 2[n] be the set of all subsets of [n]. For a family 𝓕 ⊆ 2[n], its diversity, denoted by div(𝓕), is defined to be $$div(\mathcal{F})=\min_{x{\in}[n]}\{{\mid}{\mathcal{F}}(\bar{x}){\mid}\}$$, where ${\mathcal{F}}(\bar{x})=\{F{\in}{\mathcal{F}}:x{\not\in}F\}$. Basically, div(𝓕) measures how far 𝓕 is from a trivial intersecting family, which is called a star. In this paper, we consider a generalization of diversity for t-intersecting family.

Evaluation on the Train Resistances for Korean High Speed Train (한국형 고속열차의 주행저항 평가)

  • Kim Young-Guk;Kwon Hyeok-Bin;Kim Seog-Won;Park Tae-Won
    • Journal of the Korean Society for Railway
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    • v.8 no.5
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    • pp.405-410
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    • 2005
  • In this paper, the train resistances for HSR-350x(Korean High Speed Train project), which has been obtained by the coast-down test, have been proposed in cases of the open field and tunnel. They are approximated as quadratic functions suggested by the Davis equation. The coast-down simulations for HSR-350x using the estimated train resistances have performed and the results have been compared with those of the same conditions of the coast-down tests. It is concluded that the proposed train resistances can be considered to provide good estimations for HSR-350x. Also, the effects of the infrastructure conditions, such as tracks, curves and tunnels have been reviewed. These results show that the tunnel plays an important role in determining the train resistance but others does not.

ON A CLASS OF TERNARY CYCLOTOMIC POLYNOMIALS

  • ZHANG, BIN;ZHOU, YU
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.6
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    • pp.1911-1924
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    • 2015
  • A cyclotomic polynomial ${\Phi}_n(x)$ is said to be ternary if n = pqr for three distinct odd primes p < q < r. Let A(n) be the largest absolute value of the coefficients of ${\Phi}_n(x)$. If A(n) = 1 we say that ${\Phi}_n(x)$ is flat. In this paper, we classify all flat ternary cyclotomic polynomials ${\Phi}_{pqr}(x)$ in the case $q{\equiv}{\pm}1$ (mod p) and $4r{\equiv}{\pm}1$ (mod pq).