• Title/Summary/Keyword: example space

Search Result 1,288, Processing Time 0.028 seconds

Common fixed point theorem and example in intuitionistic fuzzy metric space (직관적 퍼지 거리공간에서 공통부동점 정리 및 예제)

  • Park, Jong-Seo;Kim, Seon-Yu
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.18 no.4
    • /
    • pp.524-529
    • /
    • 2008
  • Park et.al.[10] defined the intuitionistic fuzzy metric space in which it is a little revised in Park[4], and Park et.a1.[7] proved a fixed point theorem of Banach for the contractive mapping of a complete intuitionistic fuzzy metric space. In this paper, we will establish common fixed point theorem for four self maps in intuitionistic fuzzy metric space. These results have been used to obtain translation and generalization of Grabiec's contraction principle.

Collision-Free Path Planning of Articulated Robot using Configuration Space (형상 공간을 이용한 다관절 로보트의 충돌 회피 경로 계획)

  • Kim, J.H.;Choi, J.S.;Kang, H.Y.;Kim, Dong-Won;Yang, S.M.
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.2 no.6
    • /
    • pp.57-65
    • /
    • 1994
  • A collision-free path planning algorithm between an articulated robot and polyhedral obstacles using configuration space is presented. In configuration space, a robot is treated as a point and obstacles are treated as grown forbidden regions. Hence path planning problem is transformed into moving a point from start position to goal position without entering forbidden regions. For mapping to 3D joint space, slice projection method is used for first revolute joint and inverse kinematics is used for second and third revolute joint considering kinematic characteristics of industrial robot. Also, three projected 2D joint spaces are used in search of collision-free path. A proper example is provided to illustrate the proposed algorithm.

  • PDF

The Storage Space Versus Expected Travel Time of Storage Assignment Rules in Automated Warehousing System

  • Ko, Chang-S.;Hwang, Hark
    • Journal of Korean Institute of Industrial Engineers
    • /
    • v.18 no.2
    • /
    • pp.23-29
    • /
    • 1992
  • To compute the expected travel time of storage and retrieval (S/R) machine in automated warehousing systems most of the previous studies assumed that equal number of rack openings are required regardless of the nature of storage assignment rules. It is known that randomized storage assignment rule usually needs less storage to space than needed for full turnover-based assignment rule. The objective of this paper is compute the expected travel time of each assignment rule more equitably by taking into account the storage space required for each rule. First, the rack storage space is determined which satisfies a given service level. Then based on the standard Economic Ordering Quantity model, trade-off analysis is carried out which relates the storage space to the expected travel time of the S/R machine. Finally, example problems are solved to compare the performance of each assignment rule under varying conditions of demand pattern and service level.

  • PDF

A Study for the Possibility of Reducing the Size of Battery Position (포병진지 규모의 축소 가능성에 관한 연구)

  • Go Jae-Hong;Gang Seong-Jin
    • Journal of the military operations research society of Korea
    • /
    • v.18 no.1
    • /
    • pp.74-85
    • /
    • 1992
  • Increasing the number of artillery units requires more deployment space in the field operation area. However, there is limited space available in FEBA due to mountainous terrains. Therefore most artillery units cannot occupy enough deployment space which is proposed in the field artillery mannual(FM) to maximize the firing-effectiveness and to minimize the enemy threat. This paper studies the problems of reducing the size of a battery deployment space being applied currently without decreasing the firing-effectiveness of the battery. The optimum size of a battery position is obtained by using Lemus and David's allocation model and Supper Quick II Model which produces the probability of kill data with various input data. The result shows that the battery deployment space can be reduced without decreasing the firing-effectiveness in the example problem.

  • PDF

A Substorm Injection Event and the Radiation Belt Structure Observed by Space Radiation Detectors onboard Next Generation Small Satellite-1 (NEXTSat-1)

  • Yoo, Ji-Hyeon;Lee, Dae-Young;Kim, Eojin;Seo, Hoonkyu;Ryu, Kwangsun;Kim, Kyung-Chan;Min, Kyoungwook;Sohn, Jongdae;Lee, Junchan;Seon, Jongho;Kang, Kyung-In;Lee, Seunguk;Park, Jaeheung;Shin, Goo-Hwan;Park, SungOg
    • Journal of Astronomy and Space Sciences
    • /
    • v.38 no.1
    • /
    • pp.31-38
    • /
    • 2021
  • In this paper, we present observations of the Space Radiation Detectors (SRDs) onboard the Next Generation Small Satellite-1 (NEXTSat-1) satellite. The SRDs, which are a part of the Instruments for the study of Stable/Storm-time Space (ISSS), consist of the Medium-Energy Particle Detector (MEPD) and the High-Energy Particle Detector (HEPD). The MEPD can detect electrons, ions, and neutrals with energies ranging from 20 to 400 keV, and the HEPD can detect electrons over an energy range from 0.35 to 2 MeV. In this paper, we report an event where particle flux enhancements due to substorm injections are clearly identified in the MEPD A observations at energies of tens of keV. Additionally, we report a specific example observation of the electron distributions over a wide energy range in which we identify electron spatial distributions with energies of tens to hundreds of keV from the MEPD and with energy ranging up to a few MeV from the HEPD in the slot region and outer radiation belts. In addition, for an ~1.5-year period, we confirm that the HEPD successfully observed the well-known outer radiation belt electron flux distributions and their variations in time and L shell in a way consistent with the geomagnetic disturbance levels. Last, we find that the inner edge of the outer radiation belt is mostly coincident with the plasmapause locations in L, somewhat more consistent at subrelativistic energies than at relativistic energies. Based on these example events, we conclude that the SRD observations are of reliable quality, so they are useful for understanding the dynamics of the inner magnetosphere, including substorms and radiation belt variations.

APPROXIMATING SOLUTIONS OF EQUATIONS BY COMBINING NEWTON-LIKE METHODS

  • Argyros, Ioannis K.
    • The Pure and Applied Mathematics
    • /
    • v.15 no.1
    • /
    • pp.35-45
    • /
    • 2008
  • In cases sufficient conditions for the semilocal convergence of Newtonlike methods are violated, we start with a modified Newton-like method (whose weaker convergence conditions hold) until we stop at a certain finite step. Then using as a starting guess the point found above we show convergence of the Newtonlike method to a locally unique solution of a nonlinear operator equation in a Banach space setting. A numerical example is also provided.

  • PDF

SURFACES OF REVOLUTION WITH LIGHT-LIKE AXIS

  • Yoon, Dae Won;Lee, Chul Woo
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.25 no.4
    • /
    • pp.677-686
    • /
    • 2012
  • In this paper, we investigate the surfaces of revolution with light-like axis satisfying some equation in terms of a position vector field and the Laplacian with respect to the non-degenerate third fundamental form in Minkowski 3-space. As a result, we give some special example of the surfaces of revolution with light-like axis.

ON A TOTALLY UMBILIC HYPERSURFACE OF FIRST ORDER

  • Kim, Jaeman
    • Honam Mathematical Journal
    • /
    • v.39 no.4
    • /
    • pp.465-473
    • /
    • 2017
  • In this paper, we define a totally umbilic hypersurface of first order and show that a totally umbilic hypersurface of first order in an Einstein manifold has a parallel second fundamental form. Furthermore we prove that a complete, simply connected and totally umbilic hypersurface of first order in a space of constant curvature is a Riemannian product of Einstein manifolds. Finally we show a proper example which is a totally umbilic hypersurface of first order but not a totally umbilic hypersurface.

ON THE CONVERGENCE AND APPLICATIONS OF NEWTON-LIKE METHODS FOR ANALYTIC OPERATORS

  • Argyros, Ioannis K.
    • Journal of applied mathematics & informatics
    • /
    • v.10 no.1_2
    • /
    • pp.41-50
    • /
    • 2002
  • We provide local and semilocal theorems for the convergence of Newton-like methods to a locally unique solution of an equation in a Banach space. The analytic property of the operator involved replaces the usual domain condition for Newton-like methods. In the case of the local results we show that the radius of convergence can be enlarged. A numerical example is given to justify our claim . This observation is important and finds applications in steplength selection in predictor-corrector continuation procedures.

TOTALLY UMBILIC LORENTZIAN SUBMANIFOLDS

  • Ahn, Seong-Soo;Kim, Dong-Soo;Kim, Young-Ho
    • Journal of the Korean Mathematical Society
    • /
    • v.33 no.3
    • /
    • pp.507-512
    • /
    • 1996
  • A totally umbilic submanifold of a pseudo-Riemanian manifold is a submanifold whose first fundamental form and second fundamental form are proportiona. An ordinary hypersphere $S^n(r)$ of an affine (n + 1)-space of the Euclidean space $E^m$ is the best known example of totally umbilic submanifolds of $E^m$.

  • PDF