• Title/Summary/Keyword: operator space

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A STUDY ON THE RELIABILITY OF SPACE ANALYSIS IN MIXED DENTITION (혼합치열기에 있어 공간(Space)분석의 신뢰도에 관한 연구)

  • Lee, Sang-Hoon;Shon, Dong-Soo
    • Journal of the korean academy of Pediatric Dentistry
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    • v.10 no.1
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    • pp.107-113
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    • 1983
  • 20 children who visited department of pedodontics, S.N.U. Hospital were examined and their study models were obtained. The data obtained from three groups of operator, three method, twice measurement, was analysed. The results of the study were as follow: 1. The Brass-wire method appears to be the least desirable of those examined for space predictions in all three groups of operators. 2. It appears that there is little clinical significance between Moyer's and Segmented-arch method in all three groups of operators. 3. The Moyers' method appears to be more easily conceptualized by inexperienced operators than the other two methods.

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A NOTE ON OPTIMAL RECONSTRUCTION OF MAGNETIC RESONANCE IMAGES FROM NON-UNIFORM SAMPLES IN k-SPACE

  • Lee, June-Yub
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.14 no.1
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    • pp.35-42
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    • 2010
  • A goal of Magnetic Resonance Imaging is reproducing a spatial map of the effective spin density from the measured Fourier coefficients of a specimen. The imaging procedure can be done by inverse Fourier transformation or backward fast Fourier transformation if the data are sampled on a regular grid in frequency space; however, it is still a challenging question how to reconstruct an image from a finite set of Fourier data on irregular points in k-space. In this paper, we describe some mathematical and numerical properties of imaging techniques from non-uniform MR data using the pseudo-inverse or the diagonal-inverse weight matrix. This note is written as an easy guide to readers interested in the non-uniform MRI techniques and it basically follows the ideas given in the paper by Greengard-Lee-Inati [10, 11].

Hybrid evolutionary identification of output-error state-space models

  • Dertimanis, Vasilis K.;Chatzi, Eleni N.;Spiridonakos, Minas D.
    • Structural Monitoring and Maintenance
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    • v.1 no.4
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    • pp.427-449
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    • 2014
  • A hybrid optimization method for the identification of state-space models is presented in this study. Hybridization is succeeded by combining the advantages of deterministic and stochastic algorithms in a superior scheme that promises faster convergence rate and reliability in the search for the global optimum. The proposed hybrid algorithm is developed by replacing the original stochastic mutation operator of Evolution Strategies (ES) by the Levenberg-Marquardt (LM) quasi-Newton algorithm. This substitution results in a scheme where the entire population cloud is involved in the search for the global optimum, while single individuals are involved in the local search, undertaken by the LM method. The novel hybrid identification framework is assessed through the Monte Carlo analysis of a simulated system and an experimental case study on a shear frame structure. Comparisons to subspace identification, as well as to conventional, self-adaptive ES provide significant indication of superior performance.

TRANSLATION SURFACES IN THE 3-DIMENSIONAL GALILEAN SPACE SATISFYING ∆IIxiixi

  • Cakmak, Ali;Karacan, Murat Kemal;Kiziltug, Sezai;Yoon, Dae Won
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.4
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    • pp.1241-1254
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    • 2017
  • In this paper, we classify translation surfaces in the three dimensional Galilean space ${\mathbb{G}}_3$ satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the second fundamental form of the surface. We also give explicit forms of these surfaces.

CHEYSHEFF-HALLEY-LIKE METHODS IN BANACH SPACES

  • Argyros, Ioannis-K.
    • Journal of applied mathematics & informatics
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    • v.4 no.1
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    • pp.83-108
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    • 1997
  • Chebysheff-Halley methods are probably the best known cubically convergent iterative procedures for solving nonlinear equa-tions. These methods however require an evaluation of the second Frechet-derivative at each step which means a number of function eval-uations proportional to the cube of the dimension of the space. To re-duce the computational cost we replace the second Frechet derivative with a fixed bounded bilinear operator. Using the majorant method and Newton-Kantorovich type hypotheses we provide sufficient condi-tions for the convergence of our method to a locally unique solution of a nonlinear equation in Banach space. Our method is shown to be faster than Newton's method under the same computational cost. Finally we apply our results to solve nonlinear integral equations appearing in radiative transfer in connection with the problem of determination of the angular distribution of the radiant-flux emerging from a plane radiation field.

TRANSLATION SURFACES OF TYPE 2 IN THE THREE DIMENSIONAL SIMPLY ISOTROPIC SPACE 𝕀13

  • Bukcu, Bahaddin;Karacan, Murat Kemal;Yoon, Dae Won
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.3
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    • pp.953-965
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    • 2017
  • In this paper, we classify translation surfaces of Type 2 in the three dimensional simply isotropic space ${\mathbb{I}}_3^1$ satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third fundamental form of the surface. We also give explicit forms of these surfaces.

Inverse Dynamic Analysis of Flexible Multibody System in the Joint Coordinate Space (탄성 다물체계에 대한 조인트좌표 공간에서의 역동역학 해석)

  • Lee, Byung-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.2
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    • pp.352-360
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    • 1997
  • An inverse dynamic procedure for spatial multibody systems containing flexible bodies is developed in the relative joint coordinate space. Constraint acceleration equations are derived in terms of relative coordinates using the velocity transformation technique. An inverse velocity transformation operator, which transforms the Cartesian velocities to the relative velocities, is derived systematically corresponding to the types of kinematic joints connecting the bodies and the system reference matrix. Using the resulting matrix, the joint reaction forces and moments are analyzed in the Cartesian coordinate space. The formulation is illustrated by means of two numerical examples.

Design, Implementation and Validation of the KOMPSAT Spacecraft Simulator

  • Choi, Wan Sik;Lee, Sanguk;Eun, Jong Won;Choi, Han Jun;Chae, Dong Suk
    • International Journal of Aeronautical and Space Sciences
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    • v.1 no.2
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    • pp.50-67
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    • 2000
  • The spacecraft simulator is used for command validation, operational check of the Satellite Operation Subsystem (SOS), spacecraft anomaly analysis support, satellite operator training etc. In this paper, S/W design features and modeling characteristics of the KOMPSAT Spacecraft Simulator Subsystem (SIM) are described. Validation procedures and simulation results are also provided. The SIM provides extensive simulation capabilities by including models for most of the spacecraft subsystems. The software structure of the SIM was designed and implemented so as to support operations not only in real-time but also in non real-time by utilizing the Hewlett Packard (HP) UNIX functions. The SIM incorporates as many user-friendly Man Machine Interface (MMI) windows as possible so that all the SIM normal operations can be executed through the MMI windows.

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ON THE HILBERT SPACE OF FORMAL POWER SERIES

  • YOUSEFI, Bahman;SOLTANI, Rahmat
    • Honam Mathematical Journal
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    • v.26 no.3
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    • pp.299-308
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    • 2004
  • Let $\{{\beta}(n)\}^{\infty}_{n=0}$ be a sequence of positive numbers such that ${\beta}(0)=1$. We consider the space $H^2({\beta})$ of all power series $f(z)=^{Po}_{n=0}{\hat{f}}(n)z^n$ such that $^{Po}_{n=0}{\mid}{\hat{f}}(n){\mid}^2{\beta}(n)^2<{\infty}$. We link the ideas of subspaces of $H^2({\beta})$ and zero sets. We give some sufficient conditions for a vector in $H^2({\beta})$ to be cyclic for the multiplication operator $M_z$. Also we characterize the commutant of some multiplication operators acting on $H^2({\beta})$.

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ON A FUNCTIONAL CENTRAL LIMIT THEOREM FOR THE LINEAR PROCESS GENERATED BY ASSOCIATED RANDOM VARIABLES IN A HILBERT SPACE

  • Ko, Mi-Hwa;Kim, Tae-Sung
    • Communications of the Korean Mathematical Society
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    • v.23 no.1
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    • pp.133-140
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    • 2008
  • Let {${\xi}_k,\;k\;{\in}\;{\mathbb{Z}}$} be a strictly stationary associated sequence of H-valued random variables with $E{\xi}_k\;=\;0$ and $E{\parallel}{\xi}_k{\parallel}^2\;<\;{\infty}$ and {$a_k,\;k\;{\in}\;{\mathbb{Z}}$} a sequence of linear operators such that ${\sum}_{j=-{\infty}}^{\infty}\;{\parallel}a_j{\parallel}_{L(H)}\;<\;{\infty}$. For a linear process $X_k\;=\;{\sum}_{j=-{\infty}}^{\infty}\;a_j{\xi}_{k-j}$ we derive that {$X_k} fulfills the functional central limit theorem.