• Title/Summary/Keyword: Unit Vector

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GEOMETRIC AND APPROXIMATION PROPERTIES OF GENERALIZED SINGULAR INTEGRALS IN THE UNIT DISK

  • Anastassiou George A.;Gal Sorin G.
    • Journal of the Korean Mathematical Society
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    • v.43 no.2
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    • pp.425-443
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    • 2006
  • The aim of this paper is to obtain several results in approximation by Jackson-type generalizations of complex Picard, Poisson-Cauchy and Gauss-Weierstrass singular integrals in terms of higher order moduli of smoothness. In addition, these generalized integrals preserve some sufficient conditions for starlikeness and univalence of analytic functions. Also approximation results for vector-valued functions defined on the unit disk are given.

A Design of a Mobile Graphics Accelerator based on OpenVG 1.0 API

  • Kwak, Jae-Chang;Lee, Kwang-Yeob
    • Journal of information and communication convergence engineering
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    • v.6 no.3
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    • pp.289-293
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    • 2008
  • In this paper, we propose the hardware architecture to accelerate 2D Vector graphics process for mobile devices. we propose the Transformation Unit Architecture that considerates the operation dependency. It has 3 cycles excution time and uses 2 multipliers and 2 adders. Proposed paint generation unit uses a LUT method, so it does not execute color interpolation which needs to be calculated every time. The proposed OpenVG 1.0 Accelerator achieved a 2.85 times faster performance in a tiger model.

Spacecraft Precision Attitude Determination using UVF Measurements

  • Lee, Hun-Gu;Yoon, Jae-Cheol;Shin, Dong-Seok
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1881-1886
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    • 2005
  • This paper proposes a novel approach of a precision attitude determination algorithm using UVF (Unit Vector Filter) measurements. The proposed method is superior to the conventional QUEST measurements based approaches because the estimation performance can be greatly enhanced by selecting brighter stars having better noise characteristics. The performance comparison with QUEST measurements is made to verify the usefulness of the proposed algorithm.

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UNIT KILLING VECTORS AND HOMOGENEOUS GEODESICS ON SOME LIE GROUPS

  • Yi, Seunghun
    • Journal of the Chungcheong Mathematical Society
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    • v.19 no.3
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    • pp.291-297
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    • 2006
  • We find unit Killing vectors and homogeneous geodesics on the Lie group with Lie algebra $\mathbf{a}{\oplus}_p\mathbf{r}$, where $\mathbf{a}$ and $\mathbf{r}$ are abelian Lie algebra of dimension n and 1, respectively.

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CHARACTERIZATIONS OF SPACE CURVES WITH 1-TYPE DARBOUX INSTANTANEOUS ROTATION VECTOR

  • Arslan, Kadri;Kocayigit, Huseyin;Onder, Mehmet
    • Communications of the Korean Mathematical Society
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    • v.31 no.2
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    • pp.379-388
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    • 2016
  • In this study, by using Laplace and normal Laplace operators, we give some characterizations for the Darboux instantaneous rotation vector field of the curves in the Euclidean 3-space $E^3$. Further, we give necessary and sufficient conditions for unit speed space curves to have 1-type Darboux vectors. Moreover, we obtain some characterizations of helices according to Darboux vector.

Comparison of Sediment Yield by IUSG and Tank Model in River Basin (하천유역의 유사량의 비교연구)

  • Lee, Yeong-Hwa
    • Journal of Environmental Science International
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    • v.18 no.1
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    • pp.1-7
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    • 2009
  • In this study a sediment yield is compared by IUSG, IUSG with Kalman filter, tank model and tank model with Kalman filter separately. The IUSG is the distribution of sediment from an instantaneous burst of rainfall producing one unit of runoff. The IUSG, defined as a product of the sediment concentration distribution (SCD) and the instantaneous unit hydrograph (IUH), is known to depend on the characteristics of the effective rainfall. In the IUSG with Kalman filter, the state vector of the watershed sediment yield system is constituted by the IUSG. The initial values of the state vector are assumed as the average of the IUSG values and the initial sediment yield estimated from the average IUSG. A tank model consisting of three tanks was developed for prediction of sediment yield. The sediment yield of each tank was computed by multiplying the total sediment yield by the sediment yield coefficients; the yield was obtained by the product of the runoff of each tank and the sediment concentration in the tank. A tank model with Kalman filter is developed for prediction of sediment yield. The state vector of the system model represents the parameters of the tank model. The initial values of the state vector were estimated by trial and error.

The analysis of EU carbon trading and energy prices using vector error correction model (벡터오차수정모형을 이용한 유럽 탄소배출권가격 분석)

  • Bu, Gi-Duck;Jeong, Ki-Ho
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.3
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    • pp.401-412
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    • 2011
  • This study uses a vector error correction model to analyze the daily time series data of the spot price of EUA (European Union Allowance). As endogenous variables, five variables are considered for the analysis, including prices of crude oil, natural gas, electricity and coal in addition to carbon price. Data period is Phase 2 period (April 21, 2008 to March 31, 2010) to avoid Phase 1 period (2005-2007) where the EUA prices were distorted. Unit-root and cointegration test results reveal that all variables have a unit root and cointegration vectors exist, so a vector error correction model is adopted instead of a vector autoregressive model.

Construction of Yeast Vectors Potentially Useful for Expression of Eukaryotic Genes as ${\beta}$-galactosidase Fusion Proteins

  • Chung, Kyung-Sook;Choi, Won-Ja;Lee, Hee-Won;Kim, Kyu-Won;Yoo, Hyang-Sook
    • BMB Reports
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    • v.29 no.4
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    • pp.359-364
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    • 1996
  • By both in vitro hydroxylamine mutagenesis of the wild type 3-phosphoglycerate kinase gene (PGK) promoter DNA and insertion of the leu2-d gene, we have created yeast expression vectors potentially useful for production of eukaryotic genes in yeast. The guanine (G) to adenine (A) change at the -3 position from the ATG start codon of the PGK promoter-based vector rendered a 6~7 times elevated expression of the adjacent eukaryotic gene, and insertion of the leu2-d gene in the vector containing the mutated PGK promoter further enhanced the expression of the gene. When expression of the AIDS virus HIV1-gagP17 gene in a lacZ fusion form was examined with this new vector, a 15 times higher level of expression than that from the original PGK promoter was observed. Northern and Southern analysis showed that this elevated expression is due to the production of a high copy number of mRNA by leu2-d gene functioning and by efficient translation of the produced mRNA. Thus, the vector that contained the A at the -3 position from the ATG start codon in the promoter region and the leu2-d gene shows increased expression capability and will be potentially useful for production of eukaryotic genes in yeast.

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Fast Adaptive Parameter Estimation Algorithm using Unit Vector (단위 벡터를 이용한 고속 적응 계수 예측 알고리즘)

  • Cho, Ju-Phil
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.8 no.3
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    • pp.1-7
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    • 2008
  • This paper proposes a new QRD-LS adaptive algorithm with computational complexity of O(N). The main idea of proposed algorithm(D-QR-RLS) is based on the fact that the computation for the unit vector of is made from the process during Givens Rotation. The performance of the algorithm is evaluated through computer simulation of FIR system identification problem. As verified by simulation results, this algorithm exhibits a good performance. And, we can see the proposed algorithm converges to optimal coefficient vector theoretically.

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Proper Noun Embedding Model for the Korean Dependency Parsing

  • Nam, Gyu-Hyeon;Lee, Hyun-Young;Kang, Seung-Shik
    • Journal of Multimedia Information System
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    • v.9 no.2
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    • pp.93-102
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    • 2022
  • Dependency parsing is a decision problem of the syntactic relation between words in a sentence. Recently, deep learning models are used for dependency parsing based on the word representations in a continuous vector space. However, it causes a mislabeled tagging problem for the proper nouns that rarely appear in the training corpus because it is difficult to express out-of-vocabulary (OOV) words in a continuous vector space. To solve the OOV problem in dependency parsing, we explored the proper noun embedding method according to the embedding unit. Before representing words in a continuous vector space, we replace the proper nouns with a special token and train them for the contextual features by using the multi-layer bidirectional LSTM. Two models of the syllable-based and morpheme-based unit are proposed for proper noun embedding and the performance of the dependency parsing is more improved in the ensemble model than each syllable and morpheme embedding model. The experimental results showed that our ensemble model improved 1.69%p in UAS and 2.17%p in LAS than the same arc-eager approach-based Malt parser.