• Title/Summary/Keyword: Unit Vector

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Issues Related to the Use of Time Series in Model Building and Analysis: Review Article

  • Wei, William W.S.
    • Communications for Statistical Applications and Methods
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    • v.22 no.3
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    • pp.209-222
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    • 2015
  • Time series are used in many studies for model building and analysis. We must be very careful to understand the kind of time series data used in the analysis. In this review article, we will begin with some issues related to the use of aggregate and systematic sampling time series. Since several time series are often used in a study of the relationship of variables, we will also consider vector time series modeling and analysis. Although the basic procedures of model building between univariate time series and vector time series are the same, there are some important phenomena which are unique to vector time series. Therefore, we will also discuss some issues related to vector time models. Understanding these issues is important when we use time series data in modeling and analysis, regardless of whether it is a univariate or multivariate time series.

ON THE C-PROJECTIVE VECTOR FIELDS ON RANDERS SPACES

  • Rafie-Rad, Mehdi;Shirafkan, Azadeh
    • Journal of the Korean Mathematical Society
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    • v.57 no.4
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    • pp.1005-1018
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    • 2020
  • A characterization of the C-projective vector fields on a Randers space is presented in terms of 𝚵-curvature. It is proved that the 𝚵-curvature is invariant for C-projective vector fields. The dimension of the algebra of the C-projective vector fields on an n-dimensional Randers space is at most n(n + 2). The generalized Funk metrics on the n-dimensional Euclidean unit ball 𝔹n(1) are shown to be explicit examples of the Randers metrics with a C-projective algebra of maximum dimension n(n+2). Then, it is also proved that an n-dimensional Randers space has a C-projective algebra of maximum dimension n(n + 2) if and only if it is locally Minkowskian or (up to re-scaling) locally isometric to the generalized Funk metric. A new projective invariant is also introduced.

NEW LM TESTS FOR UNIT ROOTS IN SEASONAL AR PROCESSES

  • Oh, Yu-Jin;So, Beong-Soo
    • Journal of the Korean Statistical Society
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    • v.36 no.4
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    • pp.447-456
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    • 2007
  • On the basis of marginal likelihood of the residual vector which is free of nuisance mean parameters, we propose new Lagrange Multiplier seasonal unit root tests in seasonal autoregressive process. The limiting null distribution of the tests is the standardized ${\chi}^2-distribution$. A Monte-Carlo simulation shows the new tests are more powerful than the tests based on the ordinary least squares (OLS) estimator, especially for large number of seasons and short time spans.

The Study of Manufacture and Inertia Load Test of Inverter for Electrical Multiple Unit (전동차용 VVVF 인버터 제작 및 시험)

  • 한영재;김길동;박현준;이은규;한경희
    • Journal of the Korean Society for Railway
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    • v.3 no.1
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    • pp.1-11
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    • 2000
  • In this paper, the IGBT VVVF inverter for 1C4M propulsion system of railway traction is studied. The inverter is consisted of IGBT stacks, a DB unit, and a control unit. The test results of the combined system is given, which shows an excellent performance of the overall system.

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A Design of Low-power/Small-area Arithmetic Units for Mobile 3D Graphic Accelerator (휴대형 3D 그래픽 가속기를 위한 저전력/저면적 산술 연산기 회로 설계)

  • Kim Chay-Hyeun;Shin Kyung-Wook
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.5
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    • pp.857-864
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    • 2006
  • This paper describes a design of low-power/small-area arithmetic circuits which are vector processing unit powering nit, divider unit and square-root unit for mobile 3D graphic accelerator. To achieve area-efficient and low-power implementation that is an essential consideration for mobile environment, the fixed-point f[mat of 16.16 is adopted instead of conventional floating-point format. The vector processing unit is designed using redundant binary(RB) arithmetic. As a result, it can operate 30% faster and obtained gate count reduction of 10%, compared to the conventional methods which consist of four multipliers and three adders. The powering nit, divider unit and square-root nit are based on logarithm number system. The binary-to-logarithm converter is designed using combinational logic based on six-region approximation method. So, the powering mit, divider unit and square-root unit reduce gate count when compared with lookup table implementation.

Copper Content Increase in E. coli Expressing Copper-Binding Peptide Genes (구리 결합 펩타이드의 발현에 의한 대장균 균체의 구리 함량 증가)

  • Kim, Hyung-Kee;Moon, Sung-Hyun;Kim, Woo-Yeon
    • Applied Biological Chemistry
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    • v.46 no.1
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    • pp.7-11
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    • 2003
  • Cloning and expression of copper-binding peptide gene in E. coli was carried out to enhance the copper-chelation capacity. E. coli was transformed with pET vector containing the copper-binding region of potato polyphenol oxidase gene and polyhistidine-coding DNA, and the copper content of E. coli harboring each vector was measured. No increase in intracellular copper was observed in E. coli harboring PPOCBpET32 vector, which contains DNA for polyphenol oxidase copper-binding region. Intracellular copper content of E. coli harboring pE728a vector, which contains one hexahistidine unit DNA, was 2,500 ppm after culturing without kanamycin, whereas E. coli harboring pET-his vector, which contains nine hexahistidine unit DNAs was 3,200 ppm.

Singular Representation and Finite Element Methods

  • 김석찬
    • Proceedings of the Korean Society of Computational and Applied Mathematics Conference
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    • 2003.09a
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    • pp.9-9
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    • 2003
  • Let $\Omega$ be a bounded, open, and polygonal domain in $R^2$ with re-entrant corners. We consider the following Partial Differential Equations: $$(I-\nabla\nabla\cdot+\nabla^{\bot}\nabla\times)u\;=\;f\;in\;\Omega$$, $$n\cdotu\;0\;0\;on\;{\Gamma}_{N}$$, $${\nabla}{\times}u\;=\;0\;on\;{\Gamma}_{N}$$, $$\tau{\cdot}u\;=\;0\;on\;{\Gamma}_{D}$$, $$\nabla{\cdot}u\;=\;0\;on\;{\Gamma}_{D}$$ where the symbol $\nabla\cdot$ and $\nabla$ stand for the divergence and gradient operators, respectively; $f{\in}L^2(\Omega)^2$ is a given vector function, $\partial\Omega=\Gamma_{D}\cup\Gamma_{N}$ is the partition of the boundary of $\Omega$; nis the outward unit vector normal to the boundary and $\tau$represents the unit vector tangent to the boundary oriented counterclockwise. For simplicity, assume that both $\Gamma_{D}$ and $\Gamma_{N}$ are nonempty. Denote the curl operator in $R^2$ by $$\nabla\times\;=\;(-{\partial}_2,{\partial}_1$$ and its formal adjoint by $${\nabla}^{\bot}\;=\;({-{\partial}_1}^{{\partial}_2}$$ Consider a weak formulation(WF): Find $u\;\in\;V$ such that $$a(u,v):=(u,v)+(\nabla{\cdot}u,\nabla{\cdot}v)+(\nabla{\times}u,\nabla{\times}V)=(f,v),\;A\;v{\in}V$$. (2) We assume there is only one singular corner. There are many methods to deal with the domain singularities. We introduce them shortly and we suggest a new Finite Element Methods by using Singular representation for the solution.

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Analyzing Errors in Bilingual Multi-word Lexicons Automatically Constructed through a Pivot Language

  • Seo, Hyeong-Won;Kim, Jae-Hoon
    • Journal of Advanced Marine Engineering and Technology
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    • v.39 no.2
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    • pp.172-178
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    • 2015
  • Constructing a bilingual multi-word lexicon is confronted with many difficulties such as an absence of a commonly accepted gold-standard dataset. Besides, in fact, there is no everybody's definition of what a multi-word unit is. In considering these problems, this paper evaluates and analyzes the context vector approach which is one of a novel alignment method of constructing bilingual lexicons from parallel corpora, by comparing with one of general methods. The approach builds context vectors for both source and target single-word units from two parallel corpora. To adapt the approach to multi-word units, we identify all multi-word candidates (namely noun phrases in this work) first, and then concatenate them into single-word units. As a result, therefore, we can use the context vector approach to satisfy our need for multi-word units. In our experimental results, the context vector approach has shown stronger performance over the other approach. The contribution of the paper is analyzing the various types of errors for the experimental results. For the future works, we will study the similarity measure that not only covers a multi-word unit itself but also covers its constituents.

The Design of VGE(Vector Geometry Engine) for 3D Graphics Geometry Processing (3차원 그래픽 지오메트리 연산을 위한 벡터 지오메트리 엔진의 설계.)

  • 김원석;정철호;한탁돈
    • Journal of KIISE:Computer Systems and Theory
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    • v.31 no.1_2
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    • pp.135-143
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    • 2004
  • 3D Graphics accelerator is usually composed of two parts, geometry engine and rasterizer. In this paper, VGE(Vector Geometry Engine) which exploits vertex-level parallelism is proposed. In VGE, Common Floating-Point Unit by adding four-FADD, four-FMUL unit and 128-vector register accelerates geometry calculation. In comparison with SH4, Performance result show that the VGE can achieve performance gain over 4.7 times. To evaluate VGE performance, we make simulator to rebuild Simple-Scalar, general purpose processor simulator. In simulator model, we use Viewperf-benchmark.