• Title/Summary/Keyword: Complex numbers

Search Result 446, Processing Time 0.029 seconds

Using Computer Simulation to Examine Financial Productivity of Merchandise Assortments

  • Kunz Grace I.
    • Fashion Information and Technology
    • /
    • v.2
    • /
    • pp.22-32
    • /
    • 2005
  • Sourcing Simulator is specialized form of software capable of providing great insight into merchandising decision making. It is relatively easy to learn and operate by reading the help menus, experimenting with inputs, and critically analyzing outputs. 1 see that it has great potential in a training program for new merchandisers to help them absorb the complexity of the numbers they must effectively use. The Sourcing Simulator, Version 1 that accompanies my textbook, Merchandising: Theory Principles, and Practice, 2nd ed. is the least complex version available. Two versions are available from [TC]2 - Retail version and The Retail/ Manufacturing version. The Retail Version is very similar to the Version 1. The Retail/ Manufacturing Version includes analysis of processes and costs in the manufacturing process as well as the merchandise planning component that we have discussed here. Sourcing Simulator is developed at North Carolina State University by Dr. Russ King, and available from Textile Clothing Technology Corporation $[TC]^2$, Cary, North Carolina.

  • PDF

Optimal Design of Dynamic System Using a Genetic Algorithm(GA) (유전자 알고리듬을 이용한 동역학적 구조물의 최적설계)

  • Hwang, Sang-Moon;Seong, Hwal-Gyeong
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.16 no.1 s.94
    • /
    • pp.116-124
    • /
    • 1999
  • In most conventional design optimization of dynamic system, design sensitivities are utilized. However, design sensitivities based optimization method has numbers of drawback. First, computing design sensitivities for dynamic system is mathematically difficult, and almost impossible for many complex problems as well. Second, local optimum is obtained. On the other hand, Genetic Algorithm is the search technique based on the performance of system, not on the design sensitivities. It is the search algorithm based on the mechanics of natural selection and natural genetics. GA search, differing from conventional search techniques, starts with an initial set of random solutions called a population. Each individual in the population is called a chromosome, representing a solution to the problem at hand. The chromosomes evolve through successive iterations, called generations. As the generation is repeated, the fitness values of chromosomes were maximized, and design parameters converge to the optimal. In this study, Genetic Algorithm is applied to the actual dynamic optimization problems, to determine the optimal design parameters of the dynamic system.

  • PDF

Error Analysis of GNSS Attitude Determination System (GNSS 자세결정시스템의 오차해석)

  • Hwang Dong-Hwan;Lee Sang-Jeong;Park Chan-Sik
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.12 no.3
    • /
    • pp.300-306
    • /
    • 2006
  • In this paper an error analysis of 3-dimensional GNSS attitude determination system is given. The attitude error covariance matrix is derived and analyzed. It implies that attitude errors are affected by the baseline length and configuration, the satellites numbers and geometry, receiver measurement noises and the nominal attitude of the vehicle. By defining Euler Angle Dilution Of Precision (EADOP) which is analogous to GDOP, roll, pitch and yaw errors can be efficiently analyzed. However the expression of the attitude error is too complex to get some intuitions. Therefore with a commonly adopted assumption, new expressions for attitude error are derived. The formulas are easy to compute and represent the attitude error as a function of the nominal attitude of a vehicle, the baseline configuration and the receiver noise. Using the formula, the accuracy of the attitude can be analytically predicted without the computer simulations. Applications to some widely used configurations reveal the effectiveness of the proposed method.

EVALUATION OF SOME CONDITIONAL ABSTRACT WIENER INTEGRALS

  • Chung, Dong-Myung;Kang, Soon-Ja
    • Bulletin of the Korean Mathematical Society
    • /
    • v.26 no.2
    • /
    • pp.151-158
    • /
    • 1989
  • Let (H, B, .nu.) be an abstract Wiener space where H is a separable Hilbert space with the inner product <.,.> and the norm vertical bar . vertical bar=.root.<.,.>, which is densely and continuously imbedded into a separable Banach space B with the norm ∥.∥ , and .nu. is a probability measure on the Borel .sigma.-algebra B(B) of B which satisfies (Fig.) where $B^{*}$ is the topological dual of B and (.,.) is the natural dual pairing between B and $B^{*}$. We will regard $B^{*}$.contnd.H.contnd.B in the natural way. Thus we have =(y, x) for all y in $B^{*}$ and x in H. Let $R^{n}$ and C denote the n-dimensional Euclidean space and the complex numbers respectively.ctively.

  • PDF

Molecules of the Tumor Necrosis Factor (TNF) Receptor and Ligand Superfamilies: Endless Stories

  • Kwon, Byung-Suk;Kwon, Byoung-Se
    • BMB Reports
    • /
    • v.32 no.5
    • /
    • pp.419-428
    • /
    • 1999
  • Tumor necrosis factor (TNF) receptor members have unique structures composed of 2-4 cysteine - rich pseudorepeats in the extracellular domain. On ligation by trimeric ligand molecules, oligomerization of three receptor molecules occurs, which in turn activates the receptor and recruits intracellular signaling molecules to the cytoplasmic tail to initiate biological events. Recently, the numbers of tumor necrosis factor receptor and ligand family members have been rapidly expanding. Functional characterization of the new members has indicated redundant roles with other known members as well as provided insights into novel functions. In particular, identification of soluble decoy receptors which have the ability to bind multiple ligands highlights a complex control mechanism of immune responses by these molecules. Studies of the new members have also revealed that the TNF receptor and ligand family members play an important role in other than the immune system.

  • PDF

A Study on the Fluid Flew with Ultrasonic Forcing by PIV Measurement (초음파가 가진된 유체유동의 PIV계측에 의한 연구)

  • 주은선;이영호;나우정;정진도
    • Journal of Advanced Marine Engineering and Technology
    • /
    • v.25 no.6
    • /
    • pp.1281-1290
    • /
    • 2001
  • A study on the fluid flow with ultrasonic forcing is carried out to obtain data for the turbulence enhancement. A large water tank is made of the transparent acrylic plates and a horizontal flow field is given by setting two acrylic tubes to face mutually on a horizontal line. A 2-dimensional PlV system which is composed of a continuous-output 4W Argon-ion laser, a high-speed video camera, a PC based by an image grabber and a high resolution monitor is used to investigate characteristics of the complex turbulence flow field. And a 2MHz ultrasonic transducer is used fur ultrasonic vibration forcing. Some experiments are carried out at Reynolds numbers of 2,000 and 4,000 and at 7 angles of ultrasonic incidence. In results, the flew velocity vector distribution, kinetic energy and turbulence intensity in both cases of with and without ultrasonic forcing are examined, compared and discussed by using PIV measurement. It is clarified that the ultrasonic forcing into flow field is valid to obtain the turbulence enhancement.

  • PDF

Numerical Analysis of Gas Flows in Microchannels in Series (직렬 미소채널 기체유장의 수치해석)

  • Chung Chan Hong
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
    • /
    • 2004.11a
    • /
    • pp.221-231
    • /
    • 2004
  • A kinetic theory analysis is made of low-speed gas flows in a microfluidic system consisted of three microchannels in series. The Boitzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. For the evaluation of the present method results are compared with those from the DSMC method and an analytical solution of the Navier-Stokes equations with slip boundary conditions. Calculations are made for flows at various Knudsen numbers and pressure ratios across the channel. The results compared well with those from the DSMC method. It is shown that the analytical solution of the Navier-Stokes equations with slip boundary conditions which is suited fur fully developed flows can give relatively good results. In predicting the geometrically complex flows up to a Knudsen number of about 0.06. It is also shown that the present method can be used to analyze extremely low-speed flow fields for which the DSMC method is Impractical.

  • PDF

Design and Characteristic Analysis of a Doubly-Fed 2-DOF Motor (2중여자 2자유도 모터의 설계 및 특성해석)

  • Lee, Jae-Sung;Kwon, Byung-Il
    • Proceedings of the KIEE Conference
    • /
    • 2007.10c
    • /
    • pp.65-67
    • /
    • 2007
  • In this paper describes the design and characteristic analysis of a novel 2-DOF(Degree of Freedom) motor. For multi DOF actuating, several numbers of motors have been used. But the using of normal motors they connected each other in single joint, have necessary to a several type of complex power transmission devices. The 2-DOF motor can drive pan, tilt motion in only one unit and it is not necessary to use additional gears and links parts. Therefore by the using of 2-DOF spherical motor ran eliminate; combined effects of inertia, backlash, non-linear friction, and elastic deformation of gears. The validity of the analysis is confirmed by 3D finite element method.

  • PDF

Compressible Parabolized Stability Equation in Curvilinear Coordinate System and integration

  • Gao, Bing;Park, S.O.
    • International Journal of Aeronautical and Space Sciences
    • /
    • v.7 no.2
    • /
    • pp.155-174
    • /
    • 2006
  • Parabolized stability equations for compressible flows in general curvilinear coordinate system are derived to deal with a broad range of transition prediction problems on complex geometry. A highly accurate finite difference PSE code has been developed using an implicit marching procedure. Compressible and incompressible flat plate flow stability under two-dimensional and three¬dimensional disturbances has been investigated to test the present code. Results of the present computation are found to be in good agreement with the multiple scale analysis and DNS data. Stability calculation results by the present PSE code for compressible boundary layer at Mach numbers ranging from 0.02 to 1.5 are also presented and are again seen to be as accurate as the spectral method.

SELF-HOMOTOPY EQUIVALENCES RELATED TO COHOMOTOPY GROUPS

  • Choi, Ho Won;Lee, Kee Young;Oh, Hyung Seok
    • Journal of the Korean Mathematical Society
    • /
    • v.54 no.2
    • /
    • pp.399-415
    • /
    • 2017
  • Given a topological space X and a non-negative integer k, we study the self-homotopy equivalences of X that do not change maps from X to n-sphere $S^n$ homotopically by the composition for all $n{\geq}k$. We denote by ${\varepsilon}^{\sharp}_k(X)$ the set of all homotopy classes of such self-homotopy equivalences. This set is a dual concept of ${\varepsilon}^{\sharp}_k(X)$, which has been studied by several authors. We prove that if X is a finite CW complex, there are at most a finite number of distinguishing homotopy classes ${\varepsilon}^{\sharp}_k(X)$, whereas ${\varepsilon}^{\sharp}_k(X)$ may not be finite. Moreover, we obtain concrete computations of ${\varepsilon}^{\sharp}_k(X)$ to show that the cardinal of ${\varepsilon}^{\sharp}_k(X)$ is finite when X is either a Moore space or co-Moore space by using the self-closeness numbers.