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A Study on the Mismatch of Time and Frequency Domain for Vibration Criteria of Sensitive Equipment (고정밀 장비의 진동허용규제치에 대한 시간 및 주파수 영역에서 나타나는 불일치 문제에 관한 연구)

  • 이홍기;김강부;전종균;백재호
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11b
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    • pp.1376-1383
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    • 2001
  • Modem technology depends on the reliability of extremely high technology equipments. In the production of semiconductor wafer, optical and electron microscopes, ion-beam, laser device must maintain their alignments within a sub-micrometer. This equipment requires a vibration free environment to provide its proper function. Especially, lithography and inspection devices, which have sub-nanometer class high accuracy and resolution, have come to necessity for producing more improved giga and tera class semiconductor wafers. This high technology equipments require very strict environmental vibration standard, vibration criteria, in proportion to the accuracy of the manufacturing, inspecting devices. The vibration criteria of high sensitive equipment should be represented in the form of 'exactness' and 'accuracy', because this is used as basic data for the design of building structure and structural dynamics of equipment. This paper deals with the properties of time and frequency domain in order to obtain more improved vibration criteria for high sensitive equipment.

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ON SEQUENCE SPACES DEFINED BY THE DOMAIN OF TRIBONACCI MATRIX IN c0 AND c

  • Yaying, Taja;Kara, Merve Ilkhan
    • Korean Journal of Mathematics
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    • v.29 no.1
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    • pp.25-40
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    • 2021
  • In this article we introduce tribonacci sequence spaces c0(T) and c(T) derived by the domain of a newly defined regular tribonacci matrix T. We give some topological properties, inclusion relations, obtain the Schauder basis and determine ��-, ��- and ��- duals of the spaces c0(T) and c(T). We characterize certain matrix classes (c0(T), Y) and (c(T), Y), where Y is any of the spaces c0, c or ℓ∞. Finally, using Hausdorff measure of non-compactness we characterize certain class of compact operators on the space c0(T).

ON THE RATIO OF BIOMASS TO TOTAL CARRYING CAPACITY IN HIGH DIMENSIONS

  • Heo, Junyoung;Kim, Yeonho
    • Journal of the Korean Mathematical Society
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    • v.58 no.5
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    • pp.1227-1237
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    • 2021
  • This paper is concerned with a reaction-diffusion logistic model. In [17], Lou observed that a heterogeneous environment with diffusion makes the total biomass greater than the total carrying capacity. Regarding the ratio of biomass to carrying capacity, Ni [10] raised a conjecture that the ratio has a upper bound depending only on the spatial dimension. For the one-dimensional case, Bai, He, and Li [1] proved that the optimal upper bound is 3. Recently, Inoue and Kuto [13] showed that the supremum of the ratio is infinity when the domain is a multi-dimensional ball. In this paper, we generalized the result of [13] to an arbitrary smooth bounded domain in ℝn, n ≥ 2. We use the sub-solution and super-solution method. The idea of the proof is essentially the same as the proof of [13] but we have improved the construction of sub-solutions. This is the complete answer to the conjecture of Ni.

Ferroelectric ultra high-density data storage based on scanning nonlinear dielectric microscopy

  • Cho, Ya-Suo;Odagawa, Nozomi;Tanaka, Kenkou;Hiranaga, Yoshiomi
    • Transactions of the Society of Information Storage Systems
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    • v.3 no.2
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    • pp.94-112
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    • 2007
  • Nano-sized inverted domain dots in ferroelectric materials have potential application in ultrahigh-density rewritable data storage systems. Herein, a data storage system is presented based on scanning non-linear dielectric microscopy and a thin film of ferroelectric single-crystal lithium tantalite. Through domain engineering, we succeeded to form an smallest artificial nano-domain single dot of 5.1 nm in diameter and artificial nano-domain dot-array with a memory density of 10.1 Tbit/$inch^2$ and a bit spacing of 8.0 nm, representing the highest memory density for rewritable data storage reported to date. Sub-nanosecond (500psec) domain switching speed also has been achieved. Next, long term retention characteristic of data with inverted domain dots is investigated by conducting heat treatment test. Obtained life time of inverted dot with the radius of 50nm was 16.9 years at $80^{\circ}C$. Finally, actual information storage with low bit error and high memory density was performed. A bit error ratio of less than $1\times10^{-4}$ was achieved at an areal density of 258 Gbit/inch2. Moreover, actual information storage is demonstrated at a density of 1 Tbit/$inch^2$.

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Low Temperature Sintering and Tunable Dielectrics Properties of Thick Films added of Li2CO3 on BST (티탄산 바륨 스트론튬(BaxSr1-xTiO3)에 Li2CO3 첨가한 후막의 저온소결과 가변 유전특성)

  • Jeon, So-Hyun;Kim, In-Sung;Jung, Sun-Jong;Song, Jae-Sung;Yoon, Jon-Do
    • Korean Journal of Materials Research
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    • v.16 no.12
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    • pp.747-753
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    • 2006
  • (BaSr)$TiO_3$ (BST) thick films were prepared by tape casting method, using $BaTiO_3$ and $SrTiO_3$ powder slurry and their dielectric properties were investigated. With an additive, $Li_2CO_3$, the sintering temperature was lowered by $200^{\circ}C$. Sintering density was 5.7 g/$cm^3$ and the BST thick films exhibited a maximum dielectric constant, tunability at temperatures near phase transition point. Whilst their characteristics were deteriorated above the phase transition temperature, they were unchanged below the phase transition temperature, which is presumedly due to the acceleration of $90^{\circ}$ domain formation, its contribution to the relaxation of internal stress and the increase in sintering according to the replacement of Li.

Terahertz Spectral Characteristics of Electrolyte Solutions under Different Magnetic Fields

  • Shao, Siyu;Huang, Haiyun;Peng, Bo;Wang, Guoyang;Ye, Ping;Wang, Jiahui;Su, Bo;Cui, Hailin;Zhang, Cunlin
    • Current Optics and Photonics
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    • v.6 no.3
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    • pp.337-343
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    • 2022
  • Microfluidic chips are new devices that can manipulate liquids at the micrometer level, and terahertz (THz) time-domain spectroscopy has good applicability in biochemical detection. The combination of these two technologies can shorten the distance between sample and THz wave, reduce THz wave absorption by water, and more effectively analyze the kinetics of biochemical reactions in aqueous solutions. This study investigates the effects of different external magnetic field intensities on the THz transmission characteristics of deionized water, CuSO4, CuCl2, (CH3COO)2Cu, Na2SO4, NaCl, and CH3COONa; the THz spectral intensity of the sample solutions decrease with increasing intensity of the applied magnetic field. Analysis shows that the magnetic field leads to a change in the dipole moment of water molecules in water and electrolyte solutions, which enhances not only the hydrogen-bond networking ability of water but also the hydration around ions in electrolyte solutions, increasing the number of hydrogen bonds. Increasing the intensity of this magnetic field further promotes the hydrogen-bond association between water molecules, weakening the THz transmission intensity of the solution.

Sub-sampling Technique to Improve the Measurement Speed of White Light Scanning Interferometry (백색광 주사 간섭계의 측정 속도 개선을 위한 서브 샘플링 기법 연구)

  • Chyun, In-Bum;Joo, Ki-Nam
    • Journal of the Korean Society for Precision Engineering
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    • v.31 no.11
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    • pp.999-1006
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    • 2014
  • In this investigation, we explain the sub-sampling technique of white light scanning interferometry (WLSI) to improve the measurement speed. In addition to the previous work using Fourier domain analysis, several methods to extract the height from the correlogram of WLSI are described with the sub-sampling technique. Especially, Fourier-inverse Fourier transformation method adopting sub-sampling technique is proposed and the phase compensation technique is verified with simulation and experiments. The main advantage of sub-sampling is to speed up the measurements of WLSI but the precision such as repeatability is slightly poor. In case of measuring the sample which has high height step or difference, the proposed technique can be widely used to reduce the measurement time.

EXISTENCE OF GLOBAL SOLUTIONS TO SOME NONLINEAR EQUATIONS ON LOCALLY FINITE GRAPHS

  • Chang, Yanxun;Zhang, Xiaoxiao
    • Journal of the Korean Mathematical Society
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    • v.58 no.3
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    • pp.703-722
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    • 2021
  • Let G = (V, E) be a connected locally finite and weighted graph, ∆p be the p-th graph Laplacian. Consider the p-th nonlinear equation -∆pu + h|u|p-2u = f(x, u) on G, where p > 2, h, f satisfy certain assumptions. Grigor'yan-Lin-Yang [24] proved the existence of the solution to the above nonlinear equation in a bounded domain Ω ⊂ V. In this paper, we show that there exists a strictly positive solution on the infinite set V to the above nonlinear equation by modifying some conditions in [24]. To the m-order differential operator 𝓛m,p, we also prove the existence of the nontrivial solution to the analogous nonlinear equation.

Review on the Aims of Laboratory Activities in School Science (학교 과학수업에서 실험의 목적에 대한 고찰)

  • Yang Il-Ho;Cho Hyun-Jun
    • Journal of Korean Elementary Science Education
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    • v.24 no.3
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    • pp.268-280
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    • 2005
  • Teaching with laboratory activities in school science, which are distinctive characteristic, is placed from other disciplines fur teaming almost 200 hundred years ago. A number of science educators have suggested that there are rich benefits in teaming from using laboratory activities. At these time, however, some educators have begun to seriously question the effectiveness and the role of laboratory activities. There are some causes related to obscure and vague aims of laboratory activities. The purposes of this paper is to review aims of laboratory activities presented in the literatures through historical overview, and to obtain implication for school science. There are various aims of laboratory activities by a number of researchers. Overall synthesizing, there are ffur domains of aims of science teaching through laboratory activities, (a) science knowledge has two sub-domains; scientific content knowledge and procedural knowledge, (b) nature of science, (c) science attitude has two sub-domain; scientific attitude and attitude toward science, and (d) ability of scientific inquiry has two sub-domain; manipulative skills and scientific thinking. But, it is necessary to continue the following study in order to obtain the aims of laboratory activities agreed by expert community, and setting up of lists of aims of laboratory activities for students to achieve hierarchies of school science curriculums.

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Launching Simulation of Integrated Mining System for Deep-Seabed Mineral Resources (심해저 광물자원 채광시스템의 설치 거동 해석)

  • Hong, Sup;Kim, Hyung-Woo;Choi, Jong-Su;Yeu, Tae-Kyeong
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2006.11a
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    • pp.315-318
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    • 2006
  • This paper concerns about coupled dynamic analysis of the deep-seabed mining system in launching operation. The dynamic behavior of mining system consisting of lifting pipe, buffer station, flexible conduit and self-propelled miner is simulated in time domain. The launching operation is divided into four critical phases: (1) deployment of miner and flexible conduit, (2) deployment of lifting pipe, flexible conduit and miner, (3) touch-down of miner, (4) final launching. The dynamic responses of sub-systems - miner, flexible conduit, buffer and lifting pipe - are analyzed in each launching phase. According to the changing periods of forced excitation at the top, the dynamic responses of sub-systems are diverse in their characteristics. It has been shown that the total integrated responses of sub-systems are strongly affected by the design parameters. Especially, the principal dimensions of flexible conduit seem to be significant in determining of the global response. Based on the simulation results, safe operation conditions are investigated.

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