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Crime Occurrence Patterns from the Perspective of Land-use

  • Kinashi, Machiko;Tan, Yen Xin
    • Proceedings of the Korea Contents Association Conference
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    • 2015.05a
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    • pp.17-18
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    • 2015
  • To improve urban safety there is an increasing social need for environmental design against crime, which is defined as the creation of inconvenient environments or situations for criminal offenders. By using a cluster analysis, we aimed to clarify crime occurrence patterns from the perspective of land-use. Osaka Prefecture was chosen as the study area because it has the highest crime rate in Japan. The results revealed that there are six patterns of crime occurrence, and that cities of medium-level of mixed land-use have the lowest crime rates.

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PACKING DIMENSIONS OF GENERALIZED RANDOM MORAN SETS

  • Tong, Xin;Yu, Yue-Li;Zhao, Xiao-Jun
    • Journal of the Korean Mathematical Society
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    • v.51 no.5
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    • pp.1075-1088
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    • 2014
  • We consider random fractal sets with random recursive constructions in which the contracting vectors have different distributions at different stages. We prove that the random fractal associated with such construction has a constant packing dimension almost surely and give an explicit formula to determine it.

THE t-WISE INTERSECTION OF RELATIVE THREE-WEIGHT CODES

  • Li, Xin;Liu, Zihui
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.4
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    • pp.1095-1110
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    • 2017
  • The t-wise intersection is a useful property of a linear code due to its many applications. Recently, the second author determined the t-wise intersection of a relative two-weight code. By using this result and generalizing the finite projective geometry method, we will present the t-wise intersection of a relative three-weight code and its applications in this paper.

EVALUATIONS OF SOME QUADRATIC EULER SUMS

  • Si, Xin;Xu, Ce
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.2
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    • pp.489-508
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    • 2020
  • This paper develops an approach to the evaluation of quadratic Euler sums that involve harmonic numbers. The approach is based on simple integral computations of polylogarithms. By using the approach, we establish some relations between quadratic Euler sums and linear sums. Furthermore, we obtain some closed form representations of quadratic sums in terms of zeta values and linear sums. The given representations are new.

GENERALIZED PROJECTION AND APPROXIMATION FOR GENERALIZED VARIATIONAL INEQUALITIES SYSTEM IN BANACH SPACES

  • He, Xin-Feng;Xu, Yong-Chun;He, Zhen
    • East Asian mathematical journal
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    • v.24 no.1
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    • pp.57-65
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    • 2008
  • The approximate solvability of a generalized system for non-linear variational inequality in Hilbert spaces was studied, based on the convergence of projection methods. But little research was done in Banach space. The primary reason was that projection mapping lacked preferably property in Banach space. In this paper, we introduced the generalized projection methods. By using these methods, the results presented in this paper extended the main results of S. S. Chang [3] from Hilbert spaces to Banach space.

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INDEFINITE STOCHASTIC OPTIMAL LQR CONTROL WITH CROSS TERM UNDER IQ CONSTRAINTS

  • Luo, Cheng-Xin;Feng, En-Min
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.185-200
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    • 2004
  • A stochastic optimal LQR control problem under some integral quadratic (IQ) constraints is studied, with cross terms in both the cost and the constraint functionals, allowing all the control weighting matrices being indefinite. Sufficient conditions for the well-posedness of this problem are given. When these conditions are satisfied, the optimal control is explicitly derived via dual theory.

SAOR METHOD FOR FUZZY LINEAR SYSTEM

  • Miao, Shu-Xin;Zheng, Bing
    • Journal of applied mathematics & informatics
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    • v.26 no.5_6
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    • pp.839-850
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    • 2008
  • In this paper, the symmetric accelerated overrelaxation (SAOR) method for solving $n{\times}n$ fuzzy linear system is discussed, then the convergence theorems in the special cases where matrix S in augmented system SX = Y is H-matrices or consistently ordered matrices and or symmetric positive definite matrices are also given out. Numerical examples are presented to illustrate the theory.

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