• Title/Summary/Keyword: plane curves

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On Interpretation of Hyperbolic Angle

  • Aktas, Busra;Gundogan, Halit;Durmaz, Olgun
    • Kyungpook Mathematical Journal
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    • v.60 no.2
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    • pp.375-385
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    • 2020
  • Minkowski spaces have long been investigated with respect to certain properties and substructues such as hyperbolic curves, hyperbolic angles and hyperbolic arc length. In 2009, based on these properties, Chung et al. [3] defined the basic concepts of special relativity, and thus; they interpreted the geometry of the Minkowski spaces. Then, in 2017, E. Nesovic [6] showed the geometric meaning of pseudo angles by interpreting the angle among the unit timelike, spacelike and null vectors on the Minkowski plane. In this study, we show that hyperbolic angle depends on time, t. Moreover, using this fact, we investigate the angles between the unit timelike and spacelike vectors.

Relationality of Metal Mould Manufacturing for the Automatic Production (자동생산을 위한 금형가공의 합리화)

  • 현동훈;이용성
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.9
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    • pp.2286-2293
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    • 1993
  • The study presents the development of a cost-effective CAD/CAM system for metal moulds by use of personal computer. In the personal CAD/CAM system named DKSYS, metal moulds are defined by the operations of basic elements such as prism, pyramid and sphere, plane, rotational body, and surface elements including curved surface. The internal expression of shape elements in the computer is based on the wire model, which is a set of cross-sectional curves of the shape elements. With the addition of OMS system to CAD/CAM system the optimum cutting condition can be selected automatically. After programming NC information with the form definition and the optimum cutting condition, the metallic mould can be formed by transferring cutting information to CNC machine through DNC system. Using a computer for the above process, it is possible to increase the productivity and reduce the cost.

Staistical analysis and measurements of array receivers for use in optical communication (광통신에 이용되는 배열 수신기의 측정과 통계적 해석)

  • Sung, Pyung-Shik
    • Journal of the Korea Computer Industry Society
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    • v.8 no.1
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    • pp.57-64
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    • 2007
  • In the paper, considers the design of a detection system, consisting of n identical detectors, to process the sum of spatially invariant signal fields $S_\jmath(t)$, an additive, homogeneous, spatially isotropic (in the array plane x). covariance_separable, and zero_mean Gaussian random noise field n(t, x). consisting of arrey receivers for use in optical communication through optimum turbulence atmosphers and covriance_circuit, staistical analysis through detection the maximum gain are compared with analysis theoretical analysis theoretical value and get through experimental measured value, as well the measured valus are confirmed to agreement joint Gaussian theoretical curves.

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Infinite determinant method for stability analysis of parametrically excited systems (매개변수 가진 시스템의 안정서 해석을 위한 무한행렬법)

  • Hyun, Sang-Hak;Yoo, Hong-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.4
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    • pp.916-923
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    • 1998
  • In this paper, an infinite determinant method is presenstd for stability analysis of parametrically excited systems. Unstable regions of the combination parametric resonance as well as principal resonance can be identified with the method. A numerical problem of relatively large amplitude of excitation is solved, and the results of the presented method are compared to those of the multiple scales perturbation method. It is found that the presented method obtains more accurate transition curves which divide stable and unstables in the parameter plane than those of the multiple scales perturbation method.

Discriminant analysis using empirical distribution function

  • Kim, Jae Young;Hong, Chong Sun
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.5
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    • pp.1179-1189
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    • 2017
  • In this study, we propose an alternative method for discriminant analysis using a multivariate empirical distribution function to express multivariate data as a simple one-dimensional statistic. This method turns to be the estimation process of the optimal threshold based on classification accuracy measures and an empirical distribution function of data composed of classes. This can also be visually represented on a two-dimensional plane and discussed with some measures in ROC curves, surfaces, and manifolds. In order to explore the usefulness of this method for discriminant analysis in the study, we conducted comparisons between the proposed method and the existing methods through simulations and illustrative examples. It is found that the proposed method may have better performances for some cases.

Analysis of Propagation Characteristics of Microstrip Lines with a Composite YIG Film-GGG Structure (YIG박막-GGG층 구조를 갖는 마이크로스트립 선로의 전파특성 해석)

  • 박기동;임영석
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.7
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    • pp.1168-1175
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    • 2000
  • To observe propagation characteristics of microstrip lines on YIG film, the FDTD is employed. For various GGG substrate and YIG film, the dispersion curves and the bandwidth of the cutoff region are calculated. And the distribution of the electric fields of the transverse plane underneath the conductor strip is obtained near upper and lower cutoff frequency. The results of two and three dimensional FDTD for the upper cutoff frequency are compared with spectral domain approach(SDA). A good agreement is verified, although there is relative error 6% between the results calculated by the two methods.

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급속 조형을 위한 STEP파일의 다이렉트 슬라이싱에 관한 연구

  • 김영한;최홍태;이석희
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.898-902
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    • 1995
  • STEP is a neutral model for exchanging CAD modelbetween different CAD systms. The paper presents a laser path contour generation for rapid prototyping originated form STEP format files without using any tools nor libraries for STEP data manipulation. Polygons are generated from every point on the layer of given thickness, which are the intersections of layer plane and edges stored in entity tables. Curves are approximated with polygons whitin segment tolerance limit in order to cover sculptured surfaces. With the advantage of less data loss in direct slicing over STL formats, the system developed in this work shows a good potential to provide data share with various CAD systems including RP data preparation.

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Resonant Scattering of Underwater Acoustic Wave by Transversely Isotropic Cylindrical Shells (횡등방성 원통 셸에 의한 수중 음파의 공명 산란)

  • 김진연
    • Journal of KSNVE
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    • v.7 no.3
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    • pp.449-455
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    • 1997
  • A theoretical study is presented for the prediction of the scattering of obliquely incident plane acoustic wave by transversely isotropic cylindrical shells immersed in water. In dorder to illustrate the vailidity of the theory backscattering form functions are compared with the existing results for degenerated problems: the catterings by isotropic shell and transversely isotropic solid cylinder. The unidirectional fiber reinforced boron-aluminum composites are selected as a model of transversely isotropic materials having potential applications in practice. From the resonant scattering analysis of the partial backscattering form functions, the dispersion curves for fluid-borne Stoneley wave, guided wave along the shell, and the lowest three Lamb type waves can be found. The Lamb type dispersions are compared with those of the flat plate. The variation of anisotropy significantly affects the properties of circumferential waves. From these results, it can be possible to identify parametrically the material properties of anisotropic cylindrical targets.

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A study on the characteristic and instability of the diaphram square bulge under hydraulic pressure (정수압하에서 박판 정방벌지의 변형특성과 불안정에 관한 연구)

  • 강대민
    • Journal of the Korean Society of Safety
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    • v.12 no.3
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    • pp.52-59
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    • 1997
  • Hill's anisotropy theory and isotropy theory under the deformed profile assumed two separate cases(that is circular and ellipitical) are applied to predict the plastic deformation characteristics of bulge, the strain and polar height under instability condition, using thin square diaphragms of stainless steel, mild steel, brass, copper and aluminum. In this study it was found that the pressure-polar height curves, and the polar height-the polar radius of curvature curve, under anisotropy theory and isotropy theory, assuming a circle profile, agree well with the experimental results, and the equivalent strains of the instability condition under anisotropy theory are better good agreement with the experimental results than those of the instability condition under isotropy theory. Beside, FLCo(plane Strain Intercept) obtained by Bethlehem FLC method and standard FLC method (modified) agree well with the experimental result.

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Torsional wave in an inhomogeneous prestressed elastic layer overlying an inhomogeneous elastic half-space under the effect of rigid boundary

  • Kakar, Rajneesh
    • Earthquakes and Structures
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    • v.9 no.4
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    • pp.753-766
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    • 2015
  • An investigation has been carried out for the propagation of torsional surface waves in an inhomogeneous prestressed layer over an inhomogeneous half space when the upper boundary plane is assumed to be rigid. The inhomogeneity in density, initial stress (tensile and compressional) and rigidity are taken as an arbitrary function of depth, where as for the elastic half space, the inhomogeneity in density and rigidity is hyperbolic function of depth. In the absence of heterogeneities of medium, the results obtained are in agreement with the same results obtained by other relevant researchers. Numerically, it is observed that the velocity of torsional wave changes remarkably with the presence of inhomogeneity parameter of the layer. Curves are compared with the corresponding curve of standard classical elastic case. The results may be useful to understand the nature of seismic wave propagation in geophysical applications.