• 제목/요약/키워드: Unit Vector

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Simple factor analysis of measured data

  • Kozar, Ivica;Kozar, Danila Lozzi;Malic, Neira Toric
    • Coupled systems mechanics
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    • 제11권1호
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    • pp.33-41
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    • 2022
  • Quite often we have a lot of measurement data and would like to find some relation between them. One common task is to see whether some measured data or a curve of known shape fit into the cumulative measured data. The problem can be visualized since data could generally be presented as curves or planes in Cartesian coordinates where each curve could be represented as a vector. In most cases we have measured the cumulative 'curve', we know shapes of other 'curves' and would like to determine unknown coefficients that multiply the known shapes in order to match the measured cumulative 'curve'. This problem could be presented in more complex variants, e.g., a constant could be added, some missing (unknown) data vector could be added to the measured summary vector, and instead of constant factors we could have polynomials, etc. All of them could be solved with slightly extended version of the procedure presented in the sequel. Solution procedure could be devised by reformulating the problem as a measurement problem and applying the generalized inverse of the measurement matrix. Measurement problem often has some errors involved in the measurement data but the least squares method that is comprised in the formulation quite successfully addresses the problem. Numerical examples illustrate the solution procedure.

SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 IN A COMPLEX SPACE FORM WITH 𝜉-PARALLEL STRUCTURE JACOBI OPERATOR

  • U-Hang KI;Hyunjung SONG
    • East Asian mathematical journal
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    • 제40권1호
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    • pp.1-23
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    • 2024
  • Let M be a semi-invariant submanifold of codimension 3 with almost contact metric structure (𝜙, 𝜉, 𝜂, g) in a complex space form Mn+1(c). We denote by A, K and L the second fundamental forms with respect to the unit normal vector C, D and E respectively, where C is the distinguished normal vector, and by R𝜉 = R(𝜉, ·)𝜉 the structure Jacobi operator. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a scalar 𝜃(≠ 2c) and any vector fields X and Y , and at the same time R𝜉K = KR𝜉 and ∇𝜙𝜉𝜉R𝜉 = 0. In this paper, we prove that if it satisfies ∇𝜉R𝜉 = 0 on M, then M is a real hypersurface of type (A) in Mn(c) provided that the scalar curvature $\bar{r}$ of M holds $\bar{r}-2(n-1)c{\leq}0$.

미생물을 이용한 트립신 과대 생산 연구 - Streptomyces용 숙주-벡터계를 이용한 트립신 유전자의 대량발현 최적화 - (Overproduction of Bacterial Trypsin in Streptomyces - Optimization for Streptomyces griseus Trypsin Production by Recombinant Streptomyces)

  • 김종희;홍순광
    • 한국미생물·생명공학회지
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    • 제36권1호
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    • pp.28-33
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    • 2008
  • Streptomyces griseus trypsin (SGT)을 코드하는 sprT 유전자와 그 하류에 존재하는 두 개의 조절 유전자 rsgtR1 및 sgtR2를 동시에 갖고 있는 재조합 벡터 pWHM3-TR1R2를 S. lividans TK24 및 S. griseus IFO 13350에 도입하여, 트립신의 생산성을 더욱 증대시킬 수 있는 배지를 조사하였다. S. lividans TK24/pWHM3-TR1R2의 경우 배양 5일을 기준으로 R2YE에서 가장 높은 생산성(0.74 unit/mL)을 나타냈고, C5/L. (0.66 unit/mL), Livid (0.08 unit/mL), NDSK(0.06 unit/mL) 순으로 나타났다 S. griseus IFO 13350/pWHM3-TR1R2의 경우에는 전반적으로 배양 7일에 트립신 활성이 가장 높았으며, C5/L (1.518 unit/mL), R2YE(1.284 unit/mL), NDSK (0.932 unit/mL), Livid (0.295 unit/mL) 순으로 나타났다. S. griseus IFO 13350/pWHM3-TR1R2를 C5/L 배지에서 7일간 배양한 배양액으로부터 $25%{\sim}60%$ ammonium sulfate 침전, CM-sepharose 및 Sp-sepharose column chromatography를 통하여 트립신을 고순도로 정제할 수 있었다. 최종 purification fold는 6.5배, 순수 정제된 트립신의 specific activity는 69,252 unit/mg, 회수율은 1.4%이었다.

Motion-Vector Refinement for Video Error Concealment Using Downhill Simplex Approach

  • Kim, Do-Hyun;Kwon, Young-Jin;Choi, Kyoung-Ho
    • ETRI Journal
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    • 제40권2호
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    • pp.266-274
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    • 2018
  • In error-prone wireless environments, it is difficult to realize video coding systems that are robust to various types of data loss. In this paper, a novel motion-vector refinement approach is presented for video error concealment. A traditional boundary-matching approach is exploited to reduce blocky effects along the block boundary. More specifically, a downhill simplex approach is combined with a boundary-matching approach to fine-tune the motion vectors, reducing the blocky effects along the prediction unit block boundary, and minimizing the computational cost. Extensive simulations are performed, and the results obtained verify the robustness and effectiveness of the proposed approach.

Unscented Kalman Filter For Aircraft Sensor Fault Detection

  • Kim, In-Jung;Kim, You-Dan
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.2335-2339
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    • 2003
  • To prevent the critical situation due to the fault in the aircraft sensor system, the fault tolerant system with triple or quadruple redundancy can be made. However, if the faults are occurred in two or more than sensors simultaneously, the conventional fault detection process, such as cross-channel monitoring, may give the wrong fault alarm. For this case, we can detect the fault by estimating the state vector based on the system dynamics model, which is nonlinear for aircraft. In this paper, we propose the unscented Kalman filter to estimate the nonlinear state vector. This filter utilizes the so-called unscented transformation of sigma points featured the statistical characteristics of the random variable. For verification, we perform the simulations for F-16 aircraft with accelerometers, gyros, GPS and air data system.

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오프셋 전압을 이용한 CMOS 연산 증폭기의 새로운 테스팅 기법 (Novel Testing Method of CMOS Operation Amplifier using Offset Voltage)

  • 한석붕;윤원효
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1998년도 추계종합학술대회 논문집
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    • pp.507-510
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    • 1998
  • In this paper, a novel test method is proposed to detect hard and soft fault in CMOS operational amplifiers. Proposed test method mark use of the offset character, which is one of the op-amps characteristics. During the test mode, CUT is implemented to unit gain op-amps with feedback loop. When the input is grounded, a good circuit has a small offset voltage, but a faulty circuit has a large offset voltage exceeding predefined range of tolerance. Using the proposed method, no test vector is required to be applied. Therefore the test vector generation problem is eliminated and the test time is reduced. The accuracy and effectiveness of the method is verified through HSPICE simulation.

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HEVC 오류 은닉을 위한 PU 기반 움직임 벡터 외삽법 (PU-based Motion Vector Extrapolation for HEVC Error Concealment)

  • 김상민;이동규;박동민;오승준
    • 한국방송∙미디어공학회:학술대회논문집
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    • 한국방송공학회 2014년도 하계학술대회
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    • pp.209-210
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    • 2014
  • 최근 인터넷 상에서 제공되는 영상 서비스에 대한 요구가 증가하고 있다. 하지만 네트워크 환경에서 전송되는 데이터는 오류로 인하여 쉽게 손실될 수 있다. 특히 HEVC(High Efficiency Video Coding)와 같이 높은 압축률로 압축된 정보에 대한 전송 오류는 영상 복원에 심각한 영향을 끼친다. 따라서 네트워크 환경에서 일정한 화질을 유지하기 위한 오류 은닉(Error Concealment : EC) 방법이 필요하다. 본 논문은 HEVC EC 를 위한 PU(Prediction Unit) 기반 움직임 벡터 외삽법(Motion Vector Extrapolation : MVE) 모델을 제안한다. PU 는 예측의 기본 단위로써 PU 내에 동일한 물체가 포함될 확률이 높다. 따라서, 이 모델은 손실된 프레임의 이전 프레임이 갖는 PU 정보를 이용하여 PU 단위로 외삽(extrapolation)을 실시한다. 또한, 손실된 블록과 외삽 블록간의 관계를 고려하여 겹쳐진(overlapped) 외삽 블록 중 가장 작은 PU 크기를 EC 기본 단위로 결정한다. 이 방법은 PU 정보를 반영함으로써 블록 경계 오류(block artifact)를 감소시킨다.

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DGPS 자료를 이용한 남한지역의 지각변위 분석 (Analysis of South Korean Crust Deformation Using DGPS Data)

  • 박준구;조진동;임삼성
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2004년도 대한지구물리학회.한국지구물리탐사학회 공동학술대회 초록집
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    • pp.54-62
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    • 2004
  • According to the Korea Tectonic Map, the Korean Peninsula can be divided into seven tectonic units and each of them shows a peculiar deformation pattern. In order to estimate an amount of crustal deformation in the Korean peninsula, we obtained the velocity vector fields of South Korea by dealing with the data set of the years 2001 and 2002, measured from the permanent GPS stations across the country To obtain a relatively precise coordinate of each station, we used GAMIT that is a comprehensive GPS analysis package developed at MIT, Then, a Kalman filter called GLOBK is used to combine the results from GAMIT and to estimate the relative velocity vector for the crustal deformations. The crustal movement of South Korea is turned out to be about 1mm per year westward and about 0.6mm per year southward. In case of Suwon and Seosan(Gyeonggi Massif), the movement occurs slightly to the north-east direction. The movement of a relative velocity field in the tectonic unit is unidirectional, yet the magnitude of the velocity is very small.

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New Guidance Filter Structure for Homing Missiles with Strapdown IIR Seeker

  • Kim, Tae-Hun;Kim, Jong-Han;Kim, Philsung
    • International Journal of Aeronautical and Space Sciences
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    • 제18권4호
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    • pp.757-766
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    • 2017
  • For implementing the proportional navigation guidance law on passive homing missiles equipped with strapdown imaging infrared seekers, the line-of-sight angles and rates with respect to the inertial frame should be estimated by carefully handling the parasitic instability effect due to the seeker's latency. By introducing a new state vector representation along with the Pade approximation for compensating the time-delay of the seeker, this paper proposes a new guidance filter structure, stochastic dynamic models and measurement equations, in three-dimensional homing problem. Then, it derives the line-of-sight angle and rate estimator in general two-dimensional engagement by applying the extended Kalman filter to the proposed structure. The estimation performance and the characteristics of the proposed filter were evaluated via a series of numerical experiments.

$Z_2$-VECTOR BUNDLES OVER $S^1$

  • Kim, Sung-Sook
    • 대한수학회논문집
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    • 제9권4호
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    • pp.927-931
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    • 1994
  • Let G be a cyclic group of order 2 and let $S^1$ denote the unit circle in $R^2$ with the standard metric. We consider smooth G-vector bundles over $S^1$ when G acts on $S^1$ by reflection. Then the fixed point set of G on $S^1$ is two points ${z_0, z_1}$. Let $E$\mid$_{z_0} and E$\mid$_{z_1}$ be the fiber G-representation spaces at $z_0$ and $z_1$ respectively. We associate an orthogonal G-representation $\rho_i : G \to O(n)$ to $E$\mid$_{z_i}, i = 0, 1$. Let det $p\rho_i(g), g \neq 1$, be denoted by det $E$\mid$_{z_i}$ since det $\rho_i(g)$ is independent of choice of $\rho_i$.

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