• Title/Summary/Keyword: Linear Domain

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THE PRE-SERVICE SECONDARY TEACHERS' PRESCRIPTION FOR THE MIDDLE SCHOOL STUDENTS' ERRORS IN LINEAR FUNCTIONS

  • KIM, HUIJIN;PYO, SUNG-SOO;KWON, JONGKYUM
    • East Asian mathematical journal
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    • v.31 no.4
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    • pp.609-625
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    • 2015
  • This study was subjected to 9th graders after making a conformity analysis about errors in function from a selected linear function domain learned in 8th grade, and using this we analyzed some errors learners have in the linear function domain. Learners showed the most deficiency in mastery of prerequisite facts concepts out of errors in linear functions and lack of skill in interpreting the content of the questions and technical errors occurred often as well. How the pre-service secondary school teachers prescribed these errors of linear function was analyzed from the point of problem solving strategies, accessing methods and whether or not the learner's error was used. Looking into the pre-service secondary teachers' prescription of the learners' errors in 3 fields, for the problem solving strategy a procedural strategy was used more than a conceptual strategy, and as for the accessing methods over 90% gave teacher led type explanations to the students. Also over 90% of pre-service secondary teachers did not use the learner's errors that turned up in problems.

Design of First Order Controllers with Time Domain Specifications(ICCAS 2003)

  • Kim, Keun-Sik;Woo, Young-Tae;Kim, Young-Chol
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1-6
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    • 2003
  • This paper considers the problem of determining a set of stabilizing first order controller gains, for a given linear time invariant plant, that meets or exceeds closed loop step response specifications. The method utilizes two recent results: For a given system, (1) finding a set of stabilizing first order controller gains and (2) the relationship between time response (overshoot and speed) and the coefficients of the characteristic polynomial. The method allows us to extract a subset of first order controller gains that meets stability as well as time domain performance requirements. The computations involved are the intersections of two dimensional sets described by linear and quadratic inequalities in the controller design space. It is illustrated by examples.

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2nd-order PD-type Learning Control Algorithm

  • Kim, Yong-Tae;Zeungnam Bien
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.2
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    • pp.247-252
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    • 2004
  • In this paper are proposed 2nd-order PD-type iterative learning control algorithms for linear continuous-time system and linear discrete-time system. In contrast to conventional methods, the proposed learning algorithms are constructed based on both time-domain performance and iteration-domain performance. The convergence of the proposed learning algorithms is proved. Also, it is shown that the proposed method has robustness in the presence of external disturbances and the convergence accuracy can be improved. A numerical example is provided to show the effectiveness of the proposed algorithms.

Time-Domain Quantization and Interpolation of Pitch Cycle Waveform

  • Kim, Moo-Young
    • The Journal of the Acoustical Society of Korea
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    • v.27 no.1E
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    • pp.11-16
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    • 2008
  • In this paper, a pitch cycle waveform (PCW) is extracted, quantized, and interpolated in a time domain to synthesize high-quality speech at low bit rates. The pre-alignment technique is proposed for the accurate and efficient PCW extraction, which predicts the current PCW position from the previous PCW position assuming that pitch periods evolve slowly. Since the pitch periods are different frame by frame, the original PCW is converted into the fixed-dimension PCW using the dimension-conversion method, and subsequently quantized by code-excited linear predictive (CELP) coding. The excitation signal for the linear predictive coding (LPC) synthesis filter is generated using the time-domain interpolation and interlink of the quantized PCW's. The coder operates at 4.2 kbit/s and 3.2 kbit/s depending on the pitch period. Informal listening test demonstrates the effectiveness of the proposed coding scheme.

Optimal Path Planning of Mobile Robot for Multiple Moving Obstacles (복수의 동적 장애물에 대한 이동로봇의 최적경로설계)

  • Kim, Dae-Gwang;Kang, Dong-Joong
    • The Journal of Korea Robotics Society
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    • v.2 no.2
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    • pp.183-190
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    • 2007
  • The most important thing for navigation of a mobile robot is to find the most suitable path and avoid the obstacles in the static and dynamic environment. This paper presents a method to search the optimal path in start space extended to time domain with considering a velocity and a direction of moving obstacles. A modified version of $A^*$ algorithm has been applied for path planning in this work and proposed a method of path search to avoid a collision with moving obstacle in space-tim domain with a velocity and an orientation of obstacles. The velocity and the direction for moving obstacle are assumed as linear form. The simulation result shows that a mobile robot navigates safely among moving obstacles of constant linear velocity. This work can be applied for not only a moving robot but also a legged humanoid robot and all fields where the path planning is required.

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Effects of the Multi-directional Irregular Waves on the Motion Responses and Tension Variations of ISSC-TLP (ISSC-TLP의 운동응답 및 변동장력에 미치는 다방향 불규칙파의 영향)

  • Lee, Chang-Ho
    • Journal of Ocean Engineering and Technology
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    • v.20 no.4 s.71
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    • pp.70-75
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    • 2006
  • A numerical procedure is described for estimating the effects of the multi-directional irregular waves on the motion responses and tension variations of the ISSC-TLP. The numerical approach is based on a three-dimensional source distribution method and a spectral analysis technique of directional waves. The spectral description for the linear system of ISSC-TLP in the frequency domain is sufficient to completely define the motion responses and tension variations. This is because both the wave inputs and responses are stationary Gaussian random processes, of which the statistical properties in the amplitude domain are well known. The numerical results for the linear motion responses and tension variations in regular waves are compared with the experimental and numerical ones, which are obtained in the literature. The results of comparison confirmed the validity of the proposed approach.

A Comparison between J0 and J1 Digital Linear Filters in Resistivity Soundings (비저항탐사에서 J0 및 J1 디지탈 선형필터의 비교)

  • Kim, Hee Joon
    • Economic and Environmental Geology
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    • v.18 no.1
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    • pp.41-47
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    • 1985
  • The filtering ability of $J_0$ and $J_1$ digital linear filters is compared by means of an adaptive linear filter. Any $J_0$ domain Hankel transform integral can be transformed mathematically into its corresponding $J_1$ domain integral. The apparent resistivities for any electrode configuration employed in resistivity soundings can be evaluated with a single $J_1$ filter. The $J_1$ filter usually has similar accuracy to, but shorter length than, the corresponding $J_0$ filter. The domain transformation from $J_0$ to $J_1$ enables us to use effective expressions of apparent resistivity, involving $J_1$ alone, not only for Schlumberger but also for dipole-dipole array.

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The comparison of domain in creativity among performance groups (창의성의 영역성에 대한 수행집단간의 비교연구)

  • Lee, Jeong-Kyu
    • Journal of Gifted/Talented Education
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    • v.13 no.4
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    • pp.119-140
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    • 2003
  • The purpose of this study is to examine the dispute over creativity domain at schools in Korea. In other words, this study is to examine the creativity domain among all subjects, a group of high level performance, and a group of low level performance in creativity. Based on ability-differentiation hypothesis, correlation among 4 domains, correlation between divergent thinking variables of domain-generality and 4 domains of domain-speciality, and multiple linear regression have been computed. The results are opposed to the hypothesis. The group of low level performance is related to domain-speciality. The group of high level performance, however, has relationships neither domain-generality nor domain-speciality. Instead of differentiation between domain-generality and domain-speciality, the results support the domain-complementarity.

Verification and validation of ShipMo3D ship motion predictions in the time and frequency domains

  • Mctaggart, Kevin A.
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.3 no.1
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    • pp.86-94
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    • 2011
  • This paper compares frequency domain and time domain predictions from the ShipMo3D ship motion library with observed motions from model tests and sea trials. ShipMo3D evaluates hull radiation and diffraction forces using the frequency domain Green function for zero forward speed, which is a suitable approach for ships travelling at moderate speed (e.g., Froude numbers up to 0.4). Numerical predictions give generally good agreement with experiments. Frequency domain and linear time domain predictions are almost identical. Evaluation of nonlinear buoyancy and incident wave forces using the instantaneous wetted hull surface gives no improvement in numerical predictions. Consistent prediction of roll motions remains a challenge for seakeeping codes due to the associated viscous effects.

Ultrahigh-Resolution Spectral Domain Optical Coherence Tomography Based on a Linear-Wavenumber Spectrometer

  • Lee, Sang-Won;Kang, Heesung;Park, Joo Hyun;Lee, Tae Geol;Lee, Eun Seong;Lee, Jae Yong
    • Journal of the Optical Society of Korea
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    • v.19 no.1
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    • pp.55-62
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    • 2015
  • In this study we demonstrate ultrahigh-resolution spectral domain optical coherence tomography (UHR SD-OCT) with a linear-wavenumber (k) spectrometer, to accelerate signal processing and to display two-dimensional (2-D) images in real time. First, we performed a numerical simulation to find the optimal parameters for the linear-k spectrometer to achieve ultrahigh axial resolution, such as the number of grooves in a grating, the material for a dispersive prism, and the rotational angle between the grating and the dispersive prism. We found that a grating with 1200 grooves and an F2 equilateral prism at a rotational angle of $26.07^{\circ}$, in combination with a lens of focal length 85.1 mm, are suitable for UHR SD-OCT with the imaging depth range (limited by spectrometer resolution) set at 2.0 mm. As guided by the simulation results, we constructed the linear-k spectrometer needed to implement a UHR SD-OCT. The actual imaging depth range was measured to be approximately 2.1 mm, and axial resolution of $3.8{\mu}m$ in air was achieved, corresponding to $2.8{\mu}m$ in tissue (n = 1.35). The sensitivity was -91 dB with -10 dB roll-off at 1.5 mm depth. We demonstrated a 128.2 fps acquisition rate for OCT images with 800 lines/frame, by taking advantage of NVIDIA's compute unified device architecture (CUDA) technology, which allowed for real-time signal processing compatible with the speed of the spectrometer's data acquisition.