• Title/Summary/Keyword: global

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Japanese Perspectives on "Global History"

  • HANEDA, Masashi
    • Asian review of World Histories
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    • v.3 no.2
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    • pp.219-234
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    • 2015
  • The author stresses delicate but important differences of meaning between "global history" in English and its Japanized form "gurobaru hisutori." After explaining the specific path of Japanese historiography on world history from the end of the nineteenth century to the present, he points out important features of contemporary Japanese view on world history and discusses its merits and demerits. Finally, he underlines the potential of various contributions by Japanese historians who have a particular background and joined the discussion on global history in the world through a different path.

IMAGE DEBLURRING USING GLOBAL PCG METHOD WITH KRONECKER PRODUCT PRECONDITIONER

  • KIM, KYOUM SUN;YUN, JAE HEON
    • Journal of applied mathematics & informatics
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    • v.36 no.5_6
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    • pp.531-540
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    • 2018
  • We first show how to construct the linear operator equations corresponding to Tikhonov regularization problems for solving image deblurring problems with nearly separable point spread functions. We next propose a Kronecker product preconditioner which is suitable for the global PCG method. Lastly, we provide numerical experiments of the global PCG method with the Kronecker product preconditioner for several image deblurring problems to evaluate its effectiveness.

Optimization Analysis of Trajectory for Re-Entry Vehicle Using Global Orthogonal Polynomial

  • Lee Dae-Woo
    • Journal of Mechanical Science and Technology
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    • v.20 no.10
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    • pp.1557-1566
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    • 2006
  • We present a procedure for the application of global orthogonal polynomial into an atmospheric re-entry maneuvering problem. This trajectory optimization is imbedded in a family of canonically parameterized optimal control problem. The optimal control problem is transcribed to nonlinear programming via global orthogonal polynomial and is solved a sparse nonlinear optimization algorithm. We analyze the optimal trajectories with respect to the performance of re-entry maneuver.

GENTRAL SEPARABLE ALGEBRAS OVER LOCAL-GLOBAL RINGS I

  • Kim, Jae-Gyeom
    • Bulletin of the Korean Mathematical Society
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    • v.30 no.1
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    • pp.61-64
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    • 1993
  • In this paper, we show that if R is a local-global domain then the Question holds. McDonald and Waterhouse in [6] and Estes and Guralnick in [5] introduced the concept of local-global rings (so called rings with many units) independently. A local-global ring is a commutative ring R with 1 satisfying; if a polynomial f in R[ $x_{1}$, .., $x_{n}$] represents a unit over $R_{P}$ for every maximal ideal P in R, then f represents a unit over R. Such rings include semilocal rings, or more generally, rings which are von Neumann regular mod their Jacobson radical, and the ring of all algebraic integers.s.s.

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GLOBAL LARGE SOLUTIONS FOR THE COMPRESSIBLE MAGNETOHYDRODYNAMIC SYSTEM

  • Li, Jinlu;Yu, Yanghai;Zhu, Weipeng
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.6
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    • pp.1521-1537
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    • 2021
  • In this paper we consider the global well-posedness of compressible magnetohydrodynamic system in ℝd with d ≥ 2, in the framework of the critical Besov spaces. We can show that if the initial data, the shear viscosity and the magnetic diffusion coefficient are small comparing with the volume viscosity, then the compressible magnetohydrodynamic system has a unique global solution. Our result improves the previous one by Danchin and Mucha [10] who considered the compressible Navier-Stokes equations.

STABILITY OF A CLASS OF DISCRETE-TIME PATHOGEN INFECTION MODELS WITH LATENTLY INFECTED CELLS

  • ELAIW, A.M.;ALSHAIKH, M.A.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.22 no.4
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    • pp.253-287
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    • 2018
  • This paper studies the global stability of a class of discrete-time pathogen infection models with latently infected cells. The rate of pathogens infect the susceptible cells is taken as bilinear, saturation and general. The continuous-time models are discretized by using nonstandard finite difference scheme. The basic and global properties of the models are established. The global stability analysis of the equilibria is performed using Lyapunov method. The theoretical results are illustrated by numerical simulations.

GLOBAL GENERALIZED CROSS VALIDATION IN THE PRECONDITIONED GL-LSQR

  • Chung, Seiyoung;Oh, SeYoung;Kwon, SunJoo
    • Journal of the Chungcheong Mathematical Society
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    • v.32 no.1
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    • pp.149-156
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    • 2019
  • This paper present the global generalized cross validation as the appropriate choice of the regularization parameter in the preconditioned Gl-LSQR method in solving image deblurring problems. The regularization parameter, chosen from the global generalized cross validation, with preconditioned Gl-LSQR method can give better reconstructions of the true image than other parameters considered in this study.

THE u-S-GLOBAL DIMENSIONS OF COMMUTATIVE RINGS

  • Wei Qi;Xiaolei Zhang
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.6
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    • pp.1523-1537
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    • 2023
  • Let R be a commutative ring with identity and S a multiplicative subset of R. First, we introduce and study the u-S-projective dimension and u-S-injective dimension of an R-module, and then explore the u-S-global dimension u-S-gl.dim(R) of a commutative ring R, i.e., the supremum of u-S-projective dimensions of all R-modules. Finally, we investigate u-S-global dimensions of factor rings and polynomial rings.