• Title/Summary/Keyword: cubic form

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Kansei Comparison of Form-ratio between Cubic Model and Refrigerator

  • Nishino, Tatsuo;Nagamachi, Mitsuo
    • Proceedings of the Korean Society for Emotion and Sensibility Conference
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    • 2000.04a
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    • pp.133-137
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    • 2000
  • Form-ratio means the ratio of Height/Width/Depth in 3-dimensions. The golden ratio or golden section is included as one of the form-ratio. Kansei Engineering System has some basic design databases. Form-ratio and color are basic design elements and they are very important for designing various products in viewpoint of Kansei Engineering. The subjects evaluate the form-ratios of 3-dimensional cubes and virtual products (refrigerator) with SD-scale kansei words(feelings and images). The golden ration was evaluated as "not beautiful" in refrigerator. We compared with the kansei of cube model and virtual product, and obtained databases of the relationship between the form-ratio and kansei.

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Form Error Analysis of a Cam Disk Profile Based on ISO Minimum Zone Criterion (ISO 최소영역법에 기준한 캠 디스크의 형상 오차 해석)

  • Kang, Jae-Gwan;Kim, Won-Il
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.5 no.3
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    • pp.80-85
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    • 2006
  • In an effort to reduce the evaluation time of the precision of manufactured disk cams, an effective measuring method with an exclusively built profile-measuring machine and subsequent data analysis procedure is proposed. The design and measuring data are interpolated by cubic spline curves to compute the precision error which is defined by the maximum and minimum distances between two curves. The minimum zone criterion of ISO is employed to evaluate the form error, and genetic algorithm is used to search the orientation and location of design data for the measured data which minimizes the form error. The proposed system was applied to marine engine cams, and it shows that the form error is reduced to 30% down compared with the method which minimizes the form error with the assumption that the centers of measured data design cam curve are identical.

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TRILINEAR FORMS AND THE SPACE OF COMTRANS ALGEBRAS

  • IM, BOKHEE;SMITH, JONATHAN D.H.
    • Honam Mathematical Journal
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    • v.27 no.4
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    • pp.595-602
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    • 2005
  • Comtrans algebras are modules equipped with two trilinear operations: a left alternative commutator and a translator satisfying the Jacobi identity, the commutator and translator being connected by the so-called comtrans identity. These identities have analogues for trilinear forms. On a given vector space, the set of all comtrans algebra structures itself forms a vector space. In this paper, the dimension of the space of comtrans algebra structures on a finite-dimensional vector space is determined.

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Analysis of Data Spectral Regrowth from Nonlinear Amplification

  • Amoroso, Frank;Monzingo, Robert A.
    • Journal of Communications and Networks
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    • v.1 no.2
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    • pp.81-85
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    • 1999
  • The regrowth of OQPSK power spectral sidelobes from AM/AM and AM/PM amplifier nonlinearity is analyzed. The time-domain expression for amplifier output shows how spectral re-growth will depend on the cubic coefficient of the Taylor's series of the amplifier nonlinearity as well as input amplitude ripple. Closed form spectrum calculations show that the spectral sidelobes produced by AM/PM take the same form as those produced by AM/AM. The rate of growth of AM/PM sidelobes is, however, not as great as for AM/AM.

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Kansei Comparison of Form-ratio by Factor Analysis

  • Nishino, Tatsuo;Nagamachi, Mitsuo
    • Proceedings of the Korean Society for Emotion and Sensibility Conference
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    • 2000.04a
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    • pp.248-252
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    • 2000
  • Form-ratio means the ratio of height/Width/Depth in 3-dimensions. The golden ratio or golden section is included as one of the form-ratio. We conducted two kinds of kansei experiments of cubic model and refrigerator varied from 1:1:1 to 1:1:3.66 on the scale of x:y:z. The subjects evaluate the form-ratios of 3-dimensional cubes and virtual products with SD-scale Kansei words(feelings and images). We applied the factor analysis to identify semantic space in cube model and virtual products. Finally, we compared with kansei structure of cube model and virtual product.

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A Study on Hull Form Design Techniques Based on Graphical User Interface (그래픽 사용자 인터페이스(GUI)를 도입한 선형설계 기법에 관한 연구)

  • H. Shin;K.W. Park
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.4
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    • pp.17-22
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    • 1993
  • The intersection problem of three-dimensional free form surfaces can be solved by geometrical and numerical methods. Up to now, the subdivision technique, which is classified under the former, has been largely employed to find the cross section of ship hull form. In this paper, an algorithm is presented for intersecting ship hull form in high speed. The high speed calculation algorithm is based on simple numerical methods, such as the secant method, false position method and bisection method. The algorithm is directly applicable to depicting arbitrary ship cross sections, drawing ship lines and constructing the offset table.

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Integral Approximate Solutions to a One-Dimensional Model for Stratified Thermal Storage Tanks (성층화된 축열조의 1차원모델에 대한 적분 근사해)

  • Chung, Jae-Dong
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.22 no.7
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    • pp.468-473
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    • 2010
  • This paper deals with approximate integral solutions to the one-dimensional model describing the charging process of stratified thermal storage tanks. Temperature is assumed to be the form of Fermi-Dirac distribution function, which can be separated to two sets of cubic polynomials for each hot and cold side of thermal boundary layers. Proposed approximate integral solutions are compared to the previous works of the approximate analytic solutions and show reasonable agreement. The approach, however, has benefits in mathematical difficulties, complicated solution form and unstable convergence of series solution founded in the previous analytic solutions. Solutions for a semi-infinite region, which have simple closed form solutions, give close agreement to those for a finite region. Thermocline thickness is obtained in closed form and shows proportional behavior to the square root of time and inverse proportional behavior to the square root of flow rate.

Fuzzy System Representation of the Spline Interpolation for differentiable functions

  • Moon, Byung-Soo
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.358-363
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    • 1998
  • An algorithm for representing the cubic spline interpolation of differentiable functions by a fuzzy system is presented in this paper. The cubic B-spline functions which form a basis for the interpolation function are used as the fuzzy sets for input fuzzification. The ordinal number of the coefficient cKL in the list of the coefficient cij's as sorted in increasing order, is taken to be the output fuzzy set number in the (k, l) th entry of the fuzzy rule table. Spike functions are used for the output fuzzy sets, with cij's as support boundaries after they are sorted. An algorithm to compute the support boundaries explicitly without solving the matrix equation involved is included, along with a few properties of the fuzzy rule matrix for the designed fuzzy system.

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CERTAIN CUBIC POLYNOMIALS OVER FINITE FIELDS

  • Kim, Hyung-Don;Kim, Jae-Moon;Yie, Ik-kwon
    • Journal of the Korean Mathematical Society
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    • v.46 no.1
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    • pp.1-12
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    • 2009
  • Motivated by XTR cryptosystem which is based on an irreducible polynomial $x^3-cx^2+c^px-1$ over $F_{p^2}$, we study polynomials of the form $F(c,x)=x^3-cx^2+c^qx-1$ over $F_{p^2}$ with $q=p^m$. In this paper, we establish a one to one correspondence between the set of such polynomials and a certain set of cubic polynomials over $F_q$. Our approach is rather theoretical and provides an efficient method to generate irreducible polynomials over $F_{p^2}$.

An Alternative Point-Matching Technique for Fredholm Integral Equations of Second Kind (제2종 Rredholm 적분방정식의 새로운 수식해법)

  • 이직열;김정기
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.5
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    • pp.83-86
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    • 1985
  • An alternative technique (or the numerical solution of Fredholm integral equations of second kind is presented. The approximate solution is obtained by fitting the data in mixed form at knots in the region of the problem. To decrease the error in the numerical solution, cubic B-spline functions which are twice continuously differentiable at knots are employed as basis function. For a given example, the results of this technique are compared with those of Moment method employing pulse functions for basis function and delta functions for test function and found to br in good agreement.

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