• Title/Summary/Keyword: Smooth function

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ALGEBRAICITY OF PROPER HOLOMORPHIC MAPPINGS

  • CHUNG, YOUNG-BOK
    • Honam Mathematical Journal
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    • v.21 no.1
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    • pp.105-113
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    • 1999
  • Suppose that ${\Omega}$ is a bounded domain with $C^{\infty}$ smooth boundary in the plane whose associated Bergman kernel, exact Bergman kernel, or $Szeg{\ddot{o}}$ kernel function is an algebraic function. We shall prove that any proper holomorphic mapping of ${\Omega}$ onto the unit disc is algebraic.

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Improvement of surgical haptic master device using cable-conduit and backlash compensation by smooth backlash inverse (케이블 컨듀잇 구조의 수술용 햅틱 마스터 장치의 개선과 smooth backlash inverse를 이용한 backlash 보정)

  • Choi, Woo Hyeok;Yoon, Sung Min;Lee, Min Cheol
    • The Journal of Korea Robotics Society
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    • v.9 no.1
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    • pp.48-56
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    • 2014
  • In robotic surgery, a surgeon checks only a surgical site of patient in the progress of surgery by vision and sound information. In order to solve this limited information, the haptic function is necessary. And haptic surgical robot is also necessary to design a haptic master device. The master device for laparoscope operation with cable-conduit was developed in previous research to give haptic function. It suggested a possibility of developing a master device by using the cable-conduit. However, it is very inconvenient to use. Therefore, this paper suggests a new mechanism design structure to solve the problems of the previous work by new forming a new master device. And it has proved that it's usability is better than previous one. Furthermore it has also experimented and analyzed that a backlash of new master device is compensated by smooth backlash inverse algorithm.

The role of sex steroid hormones in the pathophysiology and treatment of sarcopenia

  • Kim, Yong Jin;Tamadon, Amin;Park, Hyun Tae;Kim, Hoon;Ku, Seung-Yup
    • Osteoporosis and Sarcopenia
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    • v.2 no.3
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    • pp.140-155
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    • 2016
  • Sex steroids influence the maintenance and growth of muscles. Decline in androgens, estrogens and progesterone by aging leads to the loss of muscular function and mass, sarcopenia. These steroid hormones can interact with different signaling pathways through their receptors. To date, sex steroid hormone receptors and their exact roles are not completely defined in skeletal and smooth muscles. Although numerous studies focused on the effects of sex steroid hormones on different types of cells, still many unexplained molecular mechanisms in both skeletal and smooth muscle cells remain to be investigated. In this paper, many different molecular mechanisms that are activated or inhibited by sex steroids and those that influence the growth, proliferation, and differentiation of skeletal and smooth muscle cells are reviewed. Also, the similarities of cellular and molecular pathways of androgens, estrogens and progesterone in both skeletal and smooth muscle cells are highlighted. The reviewed signaling pathways and participating molecules can be targeted in the future development of novel therapeutics.

A Smooth Estimation of Failure Rate Function (고장률 함수의 평활추정)

  • 나명환;이현우;김재주
    • Journal of Korean Society for Quality Management
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    • v.25 no.3
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    • pp.51-61
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    • 1997
  • We introduce a method of estimating an unknown failure rate function based on sample data. We estimate failure rate function by a function s from a space of cubic splines constrained to be linear (or constant) in tails using maximum likelihood estimation. The number of knots are determined by Bayesian Information Criterion(BIC). Examples using simulated data are used to illustrate the performance of this method.

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GLOBAL MINIMA OF LEAST SQUARES CROSS VALIDATION FOR A SYMMETRIC POLYNOMIAL KEREL WITH FINITE SUPPORT

  • Jung, Kang-Mo;Kim, Byung-Chun
    • Journal of applied mathematics & informatics
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    • v.3 no.2
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    • pp.183-192
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    • 1996
  • The least squares cross validated bandwidth is the mini-mizer of the corss validation function for choosing the smooth parame-ter of a kernel density estimator. It is a completely automatic method but it requires inordinate amounts of computational time. We present a convenient formula for calculation of the cross validation function when the kernel function is a symmetric polynomial with finite sup-port. Also we suggest an algorithm for finding global minima of the crass validation function.

ON DISTANCE ESTIMATES AND ATOMIC DECOMPOSITIONS IN SPACES OF ANALYTIC FUNCTIONS ON STRICTLY PSEUDOCONVEX DOMAINS

  • Arsenovic, Milos;Shamoyan, Romi F.
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.1
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    • pp.85-103
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    • 2015
  • We prove some sharp extremal distance results for functions in various spaces of analytic functions on bounded strictly pseudoconvex domains with smooth boundary. Also, we obtain atomic decompositions in multifunctional Bloch and weighted Bergman spaces of analytic functions on strictly pseudoconvex domains with smooth boundary, which extend known results in the classical case of a single function.

Dynamic stabilization for a nonlinear system with uncontrollable unstable linearization (제어불가능 불안정 선형화를 가지는 비선형 시스템에 대한 다이나믹 안정화)

  • Seo, Sang-Bo;Seo, Jin-Heon;Shim, Hyung-Bo
    • Proceedings of the IEEK Conference
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    • 2009.05a
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    • pp.79-81
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    • 2009
  • In this paper, we design a dynamic state feedback smooth stabilizer for a nonlinear system whose Jacobian linearization may have uncontrollable because its eigenvalues are on the right half-plane. After designing an augmented system, a dynamic exponent scaling and backstepping enable one to explicitly design a smooth stabilizer and a continuously differentiable Lyapunov function which is positive definite and proper.

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NEWTON AND QUASI-NEWTON METHODS FOR EQUATIONS OF SMOOTH COMPOSITIONS OF SEMISMOOTH FUNCTIONS

  • Gao, Yan
    • Journal of applied mathematics & informatics
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    • v.6 no.3
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    • pp.747-756
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    • 1999
  • The Newtom method and the quasi-Newton method for solving equations of smooth compositions of semismooth functions are proposed. The Q-superlinear convergence of the Newton method and the Q-linear convergence of the quasi-Newton method are proved. The present methods can be more easily implemeted than previous ones for this class of nonsmooth equations.

FLIGHT TRAJECTORY CONTOLLER FOR NONLINEAR MANEUVER(GENERATION OF A DESIRED TRAJECTORY BY SPLINE THEORY)

  • Baba, Yoriaki;Takano, Hiroyuki;Sano, Masaki
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.376-379
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    • 1995
  • To force an aircraft to track the specified path, the generation of the smooth desired trajectory is essential. In this paper, the cubic spline function is used to generate the trajectory which passes through the specified intercept points. The simulation results show that the desired trajectory generated by the spline interpolation is very smooth and the aircraft tracks it with small position errors.

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A Tangential Cutting Algorithm for Rapid Prototyping (쾌속조형을 위한 효과적인 경사절단 알고리즘 개발)

  • 공용해;엄태준;주영철;안덕상
    • Proceedings of the IEEK Conference
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    • 2002.06c
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    • pp.55-58
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    • 2002
  • Rapid Prototyping(RP) systems, that fabricate objects with slicers, typically bear staircase artifacts when slices has a certain degree of thickness. A tangential cutting algorithm is developed in order to remove surface distortion as well as to generate smooth laser-cutting trajectory. For this, an energy function is defined with tangential line length and distance between tangential line and middle contour. Then, the energy is minimized to generate effective tangential line segments. The proposed algorithm is tested and verified on 3D object samples and the results show that the generated tangential lines effectively approximate layer surface and make laser trajectory smooth.

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