• Title/Summary/Keyword: difference systems

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SOME RESULTS ON UNIQUENESS OF MEROMORPHIC SOLUTIONS OF DIFFERENCE EQUATIONS

  • Gao, Zong Sheng;Wang, Xiao Ming
    • Communications of the Korean Mathematical Society
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    • v.32 no.4
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    • pp.959-970
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    • 2017
  • In this paper, we investigate the transcendental meromorphic solutions with finite order of two different types of difference equations $${\sum\limits_{j=1}^{n}}a_jf(z+c_j)={\frac{P(z,f)}{Q(z,f)}}={\frac{{\sum_{k=0}^{p}}b_kf^k}{{\sum_{l=0}^{q}}d_lf^l}}$$ and $${\prod\limits_{j=1}^{n}}f(z+c_j)={\frac{P(z,f)}{Q(z,f)}={\frac{{\sum_{k=0}^{p}}b_kf^k}{{\sum_{l=0}^{q}}d_lf^l}}$$ that share three distinct values with another meromorphic function. Here $a_j$, $b_k$, $d_l$ are small functions of f and $a_j{\not{\equiv}}(j=1,2,{\ldots},n)$, $b_p{\not{\equiv}}0$, $d_q{\not{\equiv}}0$. $c_j{\neq}0$ are pairwise distinct constants. p, q, n are non-negative integers. P(z, f) and Q(z, f) are two mutually prime polynomials in f.

Deep Learning Based TSV Hole TCD Measurement (딥러닝 기반의 TSV Hole TCD 계측 방법)

  • Jeong, Jun Hee;Gu, Chang Mo;Cho, Joong Hwee
    • Journal of the Semiconductor & Display Technology
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    • v.20 no.2
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    • pp.103-108
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    • 2021
  • The TCD is used as one of the indicators for determining whether TSV Hole is defective. If the TCD is not normal size, it can lead to contamination of the CMP equipment or failure to connect the upper and lower chips. We propose a deep learning model for measuring the TCD. To verify the performance of the proposed model, we compared the prediction results of the proposed model for 2461 via holes with the CD-SEM measurement data and the prediction results of the existing model. Although the number of trainable parameters in the proposed model was about one two-thousandth of the existing model, the results were comparable. The experiment showed that the correlation between CD-SEM and the prediction results of the proposed model measured 98%, the mean absolute difference was 0.051um, the standard deviation of the absolute difference was 0.045um, and the maximum absolute difference was 0.299um on average.

An Error Analysis of GPS Positioning (GPS를 이용한 위치 결정에서의 오차 해석)

  • Park, Chansik
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.6
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    • pp.550-557
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    • 2001
  • There are several applications and error analysis methods using GPS(Global Positioning System) In most analysis positioning and timing errors are represented as the multiplication of DOP(Dilution Of Precision) and measurement errors, which are affected by the receiver and measurement type. Therefore, lots of DOPs are defined and used to analyze and predict the performance of positioning and timing systems. In this paper, the relationships between these DOPs are investigated in detail, The relationships between GDOP(Geometric DOP), PDOP(Position DOP) and TDOP(Time DOP) in the absolute positioning are de-rived. Using these relationships, the affect of clock bias is analyzed. The relationships between RGDOP(Relative DOP) and PDOP are also derived in relative positioning where the single difference and double dif-ference techniques are used. From the results, it is expected that using the common clock will give better performance when the single difference technique is used while the effects of clock is eliminate when the double difference technique is used. Finally, the error analyses of dual frequency receivers show that the narrow lane measurements give more accurate results than wide line of or L1. L2 independent measurements.

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JND-based Mobile Phone Optimal Vibration Frequency (JND를 이용한 휴대폰의 최적 진동 주파수 설계)

  • Lee, Bongwang;Park, Hyunho;Myung, Rohae
    • Journal of Korean Institute of Industrial Engineers
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    • v.30 no.1
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    • pp.27-35
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    • 2004
  • A study was conducted to investigate an optimal vibration frequency for mobile phones with just noticeable difference(JND). The just noticeable difference, Weber's law, is the minimum amount by which stimulus intensity must be changed in order to produce a noticeable variation in sensory experience. In order to find the optimal vibration frequency, sixteen frequencies ranged from 24Hz to 603Hz were selected. Subjects then wereasked to differentiate a pair of vibration frequencies. For the analysis, the psychometric function to determine the optimal vibration frequency and the logistic regression to validate the determined frequency were used. The results show that the 2nd order polynomial equations were best fitted for the JND psychometric function and the optimal mobile phone vibrations were determined at 140Hz, 151 Hz, and 160Hz. With the ogive-shaped psychometric function developed by the logistic regression, the results of this study was validated that the determined vibration frequencies (140Hz, 151 Hz, and 160Hz) were optimal mobile phone vibration frequencies.

Analysis of the electrical properties of pork to discriminate between fresh and frozen/ thawed pork

  • Jun-Hwi, So;Seon Ho, Hwang;Sung Yong, Joe;Seung Hyun, Lee
    • Korean Journal of Agricultural Science
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    • v.48 no.4
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    • pp.739-751
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    • 2021
  • The thawing process is usually essential for imported pork because this product is typically distributed frozen. Consumers prefer fresh pork because discoloration, nutrient spills, and microbial contamination are high during the thawing process. The illegal act of selling frozen pork by disguising it as fresh pork through various methods can occur for the benefit of the difference in the sales price. However, there is some difficulty in securing systematic and objective data, as sensory tests are generally performed on imported pork. In the experiment conducted here, the electrical conductivity and dielectric properties of pork neck and pork belly products were measured. The amounts of change before and after freezing were compared through a statistical analysis, and a new method for determining frozen meat was proposed based on the analysis results. The weight was reduced compared to that before freezing due to the outflow of drips from the thawing process, but there was no difference in the drip loss level due to the thawing method. Vacuum packaging was found to lead to more drip loss than regular packaging, but the difference was not statistically significant. Frozen pork neck meat can be determined by measuring the electrical conductivity in the lean parts and the dielectric characteristic in the fatty parts. Frozen pork belly is determined by measuring the dielectric constant of the part closest to the outer fat layer.

Characteristics of Small Hydro Power Resources for River System (수계별 소수력자원의 특성)

  • Park, Wansoon;Lee, Chulhyung
    • 한국신재생에너지학회:학술대회논문집
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    • 2010.06a
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    • pp.193.1-193.1
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    • 2010
  • Small hydropower resources for five major river systems have been studied. The model, which can predict flow duration characteristic of stream, was developed to analyze the variation of inflow caused from rainfall condition. And another model to predict hydrologic performance for small hydropower(SHP) plants is established. Monthly inflow data measured at Andong dam were analyzed. The predicted results from the developed models in this study showed that the data were in good agreement with measured results of long term inflow at Andong dam. It was found that the models developed in this study can be used to predict the available potential and technical potential of SHP sites effectively. Based on the models developed in this study, the hydrologic performance for small hydropower sites located in river systems have been analyzed. The results show that the hydrologic performance characteristics of SHP sites have some difference between the river systems. Especially, the specific design flowrate and specific output of SHP sites located on North Han river and Nakdong river systems have large difference compared with other river systems.

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Characteristic Analysis of Small Hydro Power Resources for River System (수계별 소수력자원의 특성 분석)

  • Park, Wan-Soon;Lee, Chul-Hyung
    • 한국태양에너지학회:학술대회논문집
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    • 2011.04a
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    • pp.235-240
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    • 2011
  • Small hydropower resources for five major river systems have been studied. The model, which can predict flow duration characteristic of stream, was developed to analyze the variation of inflow caused from rainfall condition. And another model to predict hydrologic performance for small hydropower(SHP) plants is established. Monthly inflow data measured at Andong dam were analyzed. The predicted results from the developed models in this study showed that the data were in good agreement with measured results of long term inflow at Andong darn. It was found that the models developed in this study can be used to predict the available potential and technical potential of SHP sites effectively. Based on the models developed in this study, the hydrologic performance for small hydropower sites located in river systems have been analyzed. The results show that the hydrologic performance characteristics of SHP sites have some difference between the river systems. Especially, the specific design flowrate and specific output of SHP sites located on North Han river and Nakdong river systems have large difference compared with other river systems.

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Globular Cluster Systems of Early-type Galaxies in Low-density Environments

  • Cho, Jae-Il;Sharples, Ray
    • Bulletin of the Korean Space Science Society
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    • 2010.04a
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    • pp.34.4-34.4
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    • 2010
  • We present the properties of globular cluster systems for 10 early-type galaxies in low density environments obtained using deep images from the Advanced Camera for Surveys (ACS) on the Hubble Space Telescope (HST). Using the ACS Virgo Cluster Survey as a counterpart in high-density environments, we investigate the role of environment in determining the properties of their globular cluster systems. We detect a strong colour bimodality of globular cluster systems in half of our galaxy sample. It is found that there is a strong correlation between the colour and richness of globular cluster populations and their host galaxy luminosities: the less bright galaxies possess bluer and fewer globular clusters as also seen in rich cluster environments. However, the mean colour of globular clusters in our field sample are slightly bluer than those in cluster environments at a given galaxy luminosity, and the colour of the red population has a steeper slope with absolute luminosity. By employing the YEPS simple stellar population model, the colour offset corresponds to metallicity difference of $\Delta$[F e/H ] ~ 0.15 - 1.20 or an age difference of $\Delta$age ~ 2 Gyr on average, implying that GCs in field galaxies appear to be either less metal-rich or younger than those in cluster galaxies. Although we have found that galaxy environment has a subtle effect on the formation and metal enrichment of GC systems, host galaxy mass is the primary factor that determines the stellar populations of GCs and the galaxy itself.

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A Comparative Analysis on the Methods of Quantifying Damages - Focused on the CISG - (손해배상액(損害賠償額) 산정방식(算定方式)에 관한 비교연구(比較硏究) - CISG를 중심으로 -)

  • Bae, Jun-Il
    • THE INTERNATIONAL COMMERCE & LAW REVIEW
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    • v.16
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    • pp.59-81
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    • 2001
  • There are two methods of quantifying the damages when the contract is avoided. One is 'concret' assessment, the other is 'abstract' assessment. The former looks to the actual cost incurred by the aggrieved party in concluding a contract for the substitute transaction, while the latter is based on the market price. The concrete method of assessment forms the starting point in the Civil Law systems. In the Common Law systems, it is likewise available. The aggrieved party is entitled to recover the difference between the cost of cover or (as the case may be) the proceeds of resale and the contract price. Both systems also recognize the abstract method of assessment. If the aggrieved party does not resell or cover, damages are equal to the difference between the price fixed by the contract and the market price. The CISG and the UNIDROIT Principles recognize expressly both concrete and abstract methods. Under the relevant articles, the aggrieved party can recover the damages assessed by one of the methods as well as any further damages such as loss of profit, incidental and consequential damages.

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Diagonstic Evaluation of X-Ray Imaging using Fuzzy Logic Systems (Fuzzy Logic Systems을 이용한 X-선 영상의 진단평가)

  • Lee, Yong-Gu
    • 전자공학회논문지 IE
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    • v.46 no.3
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    • pp.62-67
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    • 2009
  • In this paper, ROC curves were designed by using Fuzzy Logic Systems. ROC curve is used for diagnostic evaluation and the person evaluating ROC curve is chosen as a first-level diagnostician. For rating diagnostic capability on ROC curve through learning, the chest X-ray image is used. The images used for making a diagnosis are X-ray film being both noise and signal. The result over diagnostic capability difference between the male and the female represented a man had better than a woman but that difference can be ignored.