• Title/Summary/Keyword: projections

Search Result 629, Processing Time 0.023 seconds

SEMI-INVARIANT SUBMANIFOLDS OF (LCS)n-MANIFOLD

  • Bagewadi, Channabasappa Shanthappa;Nirmala, Dharmanaik;Siddesha, Mallannara Siddalingappa
    • Communications of the Korean Mathematical Society
    • /
    • v.33 no.4
    • /
    • pp.1331-1339
    • /
    • 2018
  • In this paper the decomposition of basic equations of $(LCS)_n$-manifolds is carried out into horizontal and vertical projections. Further, we study the integrability of the distributions $D,D{\oplus}[{\xi}]$ and $D^{\perp}$ totally geodesic of semi-invariant submanifolds of $(LCS)_n$-manifold.

AN APPLICATION OF THE STRING AVERAGING METHOD TO ONE-SIDED BEST SIMULTANEOUS APPROXIMATION

  • Rhee, Hyang-Joo
    • The Pure and Applied Mathematics
    • /
    • v.10 no.1
    • /
    • pp.49-56
    • /
    • 2003
  • For (equation omitted) be an ordered $\ell$(t)-tuple of numbers in{1,2, …,$\ell$}and let Tt be chosen from a finite composition of orthogonal projections (equation omitted) acting on the normed linear space $C_1$(X) to closed convex subset $S(fi_{j}\;^{t})$ respectively. In this paper, we study the convergence of the sequence (equation omitted) where (equation omitted).

  • PDF

A New Species of the Genus Janiralata (Crustacea, Isopoda, laniridae) from Korea (한국산 Janiralata 속 등각류의 1신종)

  • 장인권
    • The Korean Journal of Zoology
    • /
    • v.34 no.1
    • /
    • pp.64-68
    • /
    • 1991
  • A new species of ianirid isopod from a subtidal bottom in the Korea Strait is described and illustrated under the name of Juniralata koreuensis. This species is characterized by the cephalon lacking a distinct rostrum and prominent antero-lateral expansions, the pleotelson lacking postero-lateral projections, and the male pleopod 1 having a nipple-shaped lobe on lateral apex.

  • PDF

An Internal Segmentation Method for the On-line Recognition of Run-on Characters (온라인 연속 필기 한글의 인식을 위한 내부 문자 분할에 관한 연구)

  • 정진영;전병환;김우성;김재희
    • Journal of the Korean Institute of Telematics and Electronics B
    • /
    • v.32B no.9
    • /
    • pp.1231-1238
    • /
    • 1995
  • In on-line character recognition, to segment input character is important. This paper proposes an internal character segmentation algorithm. The internal segmentation algorithm produces candidate words by considering possible combinations of Korean alphabets. In this process, we make use of projections of strokes onto the horizontal axis to remove ambiguities among candidate words. As a result of experiments, the internal segmentation algorithm shows better performance than external segmentation algorithm as the gap between sample characters becomes smaller.

  • PDF

Design and Displacement Analysis by ANSYS of Ultrasonic Linear Motor (초음파 리니어 모터의 설계와 ANSYS에 의한 변위량해석)

  • 김태열;강도원;김범진;박태곤;김명호
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
    • /
    • 1999.11a
    • /
    • pp.300-302
    • /
    • 1999
  • The standing waves of the fourth bending mode of vibration and first longitudinal mode of vibrator were utilized to construct a ultrasonic linear motor. The geometrical dimensions of the vibrator were determined by Euler-Bernoulli theoty. FEM(finite element method) employed to calculate the vibration mode of the metal-piezoceramic composite thin plate vibrator. ANSYS was used to design positions of the projections and calculate displacement of vibrator.

  • PDF

Inhomogeneous Poisson Intensity Estimation via Information Projections onto Wavelet Subspaces

  • Kim, Woo-Chul;Koo, Ja-Yong
    • Journal of the Korean Statistical Society
    • /
    • v.31 no.3
    • /
    • pp.343-357
    • /
    • 2002
  • This paper proposes a method for producing smooth and positive estimates of the intensity function of an inhomogeneous Poisson process based on the shrinkage of wavelet coefficients of the observed counts. The information projection is used in conjunction with the level-dependent thresholds to yield smooth and positive estimates. This work is motivated by and demonstrated within the context of a problem involving gamma-ray burst data in astronomy. Simulation results are also presented in order to show the performance of the information projection estimators.

NORMAL INTERPOLATION PROBLEMS IN ALGL

  • Jo, Young-Soo
    • Communications of the Korean Mathematical Society
    • /
    • v.19 no.4
    • /
    • pp.691-700
    • /
    • 2004
  • Let X and Y be operators acting on a Hilbert space and let (equation omitted) be a subspace lattice of orthogonal projections on the space containing 0 and I. We investigate normal interpolation problems in Alg(equation omitted): Given operators X and Y acting on a Hilbert space, when does there exist a normal operator A in Alg(equation omitted) such that AX = Y?

THE OPERATORS 𝜋G OF BEST APPROXIMATIONS AND CONTINUOUS METRIC PROJECTIONS

  • RHEE, HYANG JOO
    • Journal of applied mathematics & informatics
    • /
    • v.40 no.3_4
    • /
    • pp.669-674
    • /
    • 2022
  • In this paper, we shall consider some properties of the metric projection as a set valued mapping. For a set G in a metric space E, the mapping 𝜋G; x → 𝜋G(x) of E into 2G is called set valued metric projection of E onto G. We investigated the properties related to the projection PS(·)(·) and 𝜋S(·)(·) as one-sided best simultaneous approximations.

VOLUME PROPERTIES AND A CHARACTERIZATION OF ELLIPTIC PARABOLOIDS

  • Dong-Soo Kim;Kyung Bum Lee;Booseon Song;Incheon Kim;Min Seong Hwang
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.36 no.2
    • /
    • pp.125-133
    • /
    • 2023
  • We establish a characterization theorem of elliptic paraboloids in the (n+1)-dimensional Euclidean space 𝔼n+1 with extrinsic properties such as the (n+1)-dimensional volumes of regions enclosed by the hyperplanes and hypersurfaces, and the n-dimensional areas of projections of the sections of hypersurfaces cut off by hyperplanes.

Hough Transform Based Projecton Method for Target Tracking in Image Suquences (투사 및 허프 변환 방식에 의한 연속 영상상의 비행체 궤적 추적)

  • 최재호;곽훈성
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.19 no.11
    • /
    • pp.2094-2105
    • /
    • 1994
  • This paper contains a Hough transform based projection method derived from Radon transform for tracking dim unresolved(sub-pixel) moving targets that move along straight line parths across a time sequential image data. In contrast to several recently presented Hough transform methods using a compressed image referred to as the track map our proposed technique utilizing a set of projections taken along arbitrary orientations effectively increases the changes of target detection, and creates a robust track estimation environment by incorporating all the available knowledge obtained from the projections. Moreover, in order to quantitatively assess the estimation capability of the projection-based Hough transform algorithm, the analytical bounds on the Hough space parameter errors introduced by image space noise contamination are derived. The simulation yielded promising results of estimating the track parameters even under low signal to noise rations when our technique was tested against the time sequential sets of real infrared image data referred to as the HiCamps.

  • PDF