• Title/Summary/Keyword: a normal vector

검색결과 606건 처리시간 0.028초

SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 IN A COMPLEX SPACE FORM IN TERMS OF THE STRUCTURE JACOBI OPERATOR

  • Ki, U-Hang;Kurihara, Hiroyuki
    • Communications of the Korean Mathematical Society
    • /
    • 제37권1호
    • /
    • pp.229-257
    • /
    • 2022
  • Let M be a semi-invariant submanifold of codimension 3 with almost contact metric structure (𝜙, 𝜉, 𝜂, g) in a complex space form Mn+1(c), c ≠ 0. We denote by A and R𝜉 the shape operator in the direction of distinguished normal vector field and the structure Jacobi operator with respect to the structure vector 𝜉, respectively. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a scalar 𝜃(< 2c) and any vector fields X and Y on M. In this paper, we prove that if it satisfies R𝜉A = AR𝜉 and at the same time ∇𝜉R𝜉 = 0 on M, then M is a Hopf hypersurface of type (A) provided that the scalar curvature s of M holds s - 2(n - 1)c ≤ 0.

A Study on the Automatic Fairing and Modeling System of Hull From (선형의 자동순정 및 모델링 시스템에 관한 연구)

  • 김동준
    • Journal of Ocean Engineering and Technology
    • /
    • 제14권2호
    • /
    • pp.121-127
    • /
    • 2000
  • In this paper a new technique of inverse fairing problem for ship hull is proposed. Recently Lu solved the inverse fairing problem for automobile's body that was made by one surface element. In this system however hull surface is constructed by Gregory's composite surface interpolation method. So reflection line at boundary position is used as a tool of solving inverse problem in surface fairing. But the results are not good. The new concepts of Normal vector line and Constrained reflection line are introduced as an alternative tool. Energy minimization method for Normal Vector Line curve net and the inverse method for Constrained Reflection Line by using optimization technique are examined And the final lines from this proposed surface fairing method shows good fairness.

  • PDF

MINIMAL AND HARMONIC REEB VECTOR FIELDS ON TRANS-SASAKIAN 3-MANIFOLDS

  • Wang, Yaning
    • Journal of the Korean Mathematical Society
    • /
    • 제55권6호
    • /
    • pp.1321-1336
    • /
    • 2018
  • In this paper, we obtain some necessary and sufficient conditions for the Reeb vector field of a trans-Sasakian 3-manifold to be minimal or harmonic. We construct some examples to illustrate main results. As applications of the above results, we obtain some new characteristic conditions under which a compact trans-Sasakian 3-manifold is homothetic to either a Sasakian or cosymplectic 3-manifold.

Storage Feature-Based Watermarking Algorithm with Coordinate Values Preservation for Vector Line Data

  • Zhou, Qifei;Ren, Na;Zhu, Changqing;Tong, Deyu
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • 제12권7호
    • /
    • pp.3475-3496
    • /
    • 2018
  • Most of current watermarking algorithms for GIS vector data embed copyright information by means of modifying the coordinate values, which will do harm to its quality and accuracy. To preserve the fidelity of vector line data and protect its copyright at the same time, a lossless watermarking algorithm is proposed based on storage feature in this paper. Firstly, the superiority of embedding watermark based on storage feature is demonstrated theoretically and technically. Then, the basic concepts and operations on storage feature have been defined including length and angle of the polyline feature. In the process of embedding watermark, the watermark information is embedded into directions of polyline feature by the quantitative mechanism, while the positions of embedding watermark are determined by the feature length. Hence, the watermark can be extracted by the same geometric features without original data or watermark. Finally, experiments have been conducted to show that coordinate values remain unchanged after embedding watermark. Moreover, experimental results are presented to illustrate the effectiveness of the method.

Improving the Performance of Decision Boundary Feature Extraction for Neural Networks by Calculating Normal Vector of Decision Boundary Analytically (결정경계 수직벡터의 해석적 계산을 통한 신경망 결정경계 특징추출 알고리즘의 성능 개선)

  • Go, Jin-Uk;Lee, Cheol-Hui
    • Journal of the Institute of Electronics Engineers of Korea CI
    • /
    • 제39권3호
    • /
    • pp.44-52
    • /
    • 2002
  • In this paper, we present an analytical method for decision boundary feature extraction for neural networks. It has been shown that all the features necessary to achieve the same classification accuracy xxxas in the original space can be obtained from the vectors normal to decision boundaries. However, the vector normal to the decision boundary of a neural network has been calculated numerically using a gradient approximation. This process is time-consuming and the normal vector may be inaccurately estimated. In this paper, we propose a method to improve the performance of the previous decision boundary feature extraction for neural networks by accurately calculating the normal vector When the normal vectors are computed analytically, it is possible to reduce the processing time significantly and improve the performance of the previous implementation that employs numerical approximation.

Thickness-Driven Spin Reorientation Transition in Co/Pd(111); In Situ SMOKE Three-Dimensional Vector Magnetometry

  • Lee, Jeong-Won;Kim, Sang-Koog;Kim, Jonggeol;Jeong, Jong-Ryul;Ahn, Jae-Seok;Shin, Sung-Chul
    • Proceedings of the Korean Magnestics Society Conference
    • /
    • 한국자기학회 2000년도 International Symposium on Magnetics The 2000 Fall Conference
    • /
    • pp.287-296
    • /
    • 2000
  • We have developed a three-axis configurational in situ SMOKE apparatus by which three-dimensional vector magnetization reversal processes are studied for ultrathin Co films grown on a Pd (111) single crystal in the thickness range of spin-reorientation transition. This study provides a better understanding of magnetization reversal motions with the knowledge of 3 components of magnetization vector at the transition of an easy axis of magnetization from the film normal at 5 ML Co to in-plane at 6 ML Co (ML notes monolayer). For a 5.25 ML Co, it was observed that a slightly canted magnetization vector from the film normal rotated in the film plane under an applied field direction parallel to the film normal.

  • PDF

Thickness-Driven Spin Reorientation Transition in Co/Pd(111) : In Situ SMOKE Three-Dimensional Vector Magnetometry

  • Lee, Jeong-Won;Kim, Sang-Koog;Kim, Jonggeol;Jeong, Jong-Ryul;Ahn, Jae-Seok;Shin, Sung-Chul
    • Journal of Magnetics
    • /
    • 제6권2호
    • /
    • pp.53-56
    • /
    • 2001
  • We have developed a three-axis configurational in situ SMOKE apparatus by which three-dimensional vector magnetization reversal processes are studied for ultrathin Co films grown on a Pd (111) single crystal in the thickness range of spin reorientation transition. This study provides a better understanding of magnetization reversal motions with the knowledge of three components of the magnetization vector at the transition of an easy axis of magnetization from the film normal at 5 ML Co to in-plane at 6 ML Co (ML denotes monolayer). For a 5.25 ML Co, it was observed that a slightly canted magnetization vector from the film normal rotated in the film plane under an applied field direction parallel to the film normal.

  • PDF

Recombinant Adenoviral Vector Containing Tumor-Specific L-Plastin Promoter Fused to Cytosine Deaminase Gene as a Transcription Unit: Generation and Functional Test

  • Chung, In-Jae;Deisseroth, Albert-B.
    • Archives of Pharmacal Research
    • /
    • 제27권6호
    • /
    • pp.633-639
    • /
    • 2004
  • The expression of therapeutic transgenes in recombinant adenoviral vectors is a major cause of toxicity in dividing cancer cells as well as non dividing normal cells. To solve the problem of toxicity to normal cells, we have reported on a recombinant adenoviral vector system (AdLP-) in which the expression of the transgene is directed by the tumor-specific L-plastin promoter (LP) (Chung et al., 1999). The object of this study was to generate a recombinant adenoviral vector system which would generate tumor cell specific expression of cytosine deaminase (CD) gene. We report the construction of a replication-incompetent adenoviral vector in which CD is driven by the L-plastin promoter (AdLPCD). Infection of 293 cells by AdLPCD generated the functional CD protein as measured by HPLC analysis for the conversion of 5-Fluorocy-tosine (5-FC) to 5-Fluorouracil (5-FU). HPLC analysis in conjunction with counting radioactivity for [6-$^3$H]-5FC and [6-$^3$H]-5FU demonstrated vector dose-dependent conversion of 5-FC to 5-FU in AdLPCD infected ovarian cancer cells. The results from present and previous studies(Peng et al., 2001; Akbulut et al., 2003) suggest that the use of the AdLPCD/5-FC system may be of value in the treatment of cancer including microscopic ovarian cancer in the peritoneal cavity.

A Sequence of Improvements over the Lindley Type Estimator

  • Baek, Hoh-Yoo
    • Journal of the Korean Data and Information Science Society
    • /
    • 제13권2호
    • /
    • pp.11-19
    • /
    • 2002
  • In this paper, the problem of estimating a p-variate $(p\geq4)$ normal mean vector in a decision-theoretic setup is considered. Using a technique of Guo and Pal (1992), a sequence of estimators dominating the Lindley type estimator is derived and each improved estimator is better than the previous one.

  • PDF

A Note on Deconvolution Estimators when Measurement Errors are Normal

  • Lee, Sung-Ho
    • Communications for Statistical Applications and Methods
    • /
    • 제19권4호
    • /
    • pp.517-526
    • /
    • 2012
  • In this paper a support vector method is proposed for use when the sample observations are contaminated by a normally distributed measurement error. The performance of deconvolution density estimators based on the support vector method is explored and compared with kernel density estimators by means of a simulation study. An interesting result was that for the estimation of kurtotic density, the support vector deconvolution estimator with a Gaussian kernel showed a better performance than the classical deconvolution kernel estimator.