• Title/Summary/Keyword: Closed ball

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The Effect of Sling Exercise Therapy with Vibration Balls on Upper Limb Muscle Activity for Paraplegia-Spinal Cord Injury

  • Oh, Ju Hwan;Kwon, Tae Kyu
    • Korean Journal of Applied Biomechanics
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    • v.28 no.3
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    • pp.187-191
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    • 2018
  • Objective: The purpose of the present study is to investigate the effect of a muscle activity by applying the complex exercise method of sling in accordance with the provision of various vibration intensities for paraplegia-spinal cord injury. Method: The subjects of the study were 15 men in their 40s and 50s with lower limb disabilities and low potential risk, who were randomly divided into a sling exercise group (SG n=4), a sling with low frequency vibration group (SLVG n=4), a sling with mid-frequency vibration group (SMVG n=4), and a sling with high frequency group (SHVG n=4) in accordance with the provision of slings and vibration stimuli. The vibratory intensity provided was divided into low frequency (30 Hz), mid-frequency (50 Hz), and high frequency (70 Hz). The anterior deltoid (AD), the posterior deltoid (PD), the pectoralis major (PM), the upper trapezius (UT), the latissimus dorsi (LD), and the multifidus (MF) were measured to compare and analyze muscle activity. Results: The closed kinetic chain (CKC) exercise to the shoulder joint showed higher muscle activity in most muscles for the SMVG, and statistically significant differences in the anterior deltoid (AD), the pectoralis major (PM), and the multifidus (MF) in particular. Conclusion: The intermediate frequency (50 Hz) string vibration was the effective vibration stimuli for Closed kinetic chain (CKC) exercises.

EXISTENCE OF GROP INVARIANT SOULTIONS OF A SEMILINEAR ELLIPTIC EQUATION

  • Kajinkiya, Ryuji
    • Journal of the Korean Mathematical Society
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    • v.37 no.5
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    • pp.763-777
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    • 2000
  • We investigate the existence of group invariant solutions of the Emden-Fowler equation, - u=$\mid$x$\mid$$\sigma$$\mid$u$\mid$p-1u in B, u=0 on B and u(gx)=u(x) in B for g G. Here B is the unit ball in n 2, 1$\sigma$ 0 and G is a closed subgrop of the orthogonal group. A soultion of the problem is called a G in variant solution. We prove that there exists a G invariant non-radial solution if and only if G is not transitive on the unit sphere.

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ON A FUZZY BANACH SPACE

  • Rhie, G.S.;Hwang, I.A.
    • Journal of the Chungcheong Mathematical Society
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    • v.13 no.1
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    • pp.71-78
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    • 2000
  • The main goal of this paper is to prove the following theorem ; Let (X, ${\rho}_1$) be a fuzzy normed linear space over K and (Y, ${\rho}_2$) be a fuzzy Banach space over K. If ${\chi}_{B_{{\parallel}{\cdot}{\parallel}}}{\supseteq}{\rho}*$, then (CF(X,Y), ${\rho}*$) is a fuzzy Banach space, where ${\rho}*(f)={\vee}{\lbrace}{\theta}{\wedge}\frac{1}{t({\theta},f)}\;{\mid}\;{\theta}{\in}(0,1){\rbrace}$, $f{\in}CF(X,Y)$, $B_{{\parallel}{\cdot}{\parallel}}$ is the closed unit ball on (CF(X, Y), ${\parallel}{\cdot}{\parallel}$ and ${\parallel}f{\parallel}={\vee}{\lbrace}P^2_{{\alpha}^-}(f(x))\;{\mid}\;P^1_{{\alpha}^-}(x)=1,\;x{\in}X{\rbrace}$, $f{\in}CF(X,Y)$, ${\alpha}{\in}(0,1)$.

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The Design of a Robust Linear Time-invariant Feedback Compensator Guaranteeing Uniform Ultimate Boundedness for Uncertain Multivariable Systems (Uniform ultimate boundedness를 보장하는 선형 시블변 되먹임 보상기 설계)

  • Choi, Han-Ho;Yoo, Dong-Sang;Chung, Myung-Jin
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.678-681
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    • 1991
  • In this paper, we propose a robust linear time-invariant feedback compensator design methodology for multivariable system which have both matched and mismatched uncertainties. In order to attack the problem of designing robust compensators guaranteeing uniform ultimate boundedness of every closed-loop system response within an arbitrarily small ball centered at the zero state based solely on the knowledge of the upper norm-bounds of uncertainties, we use an approach based upon the comparison theorem which is an effective approach in studying augmented feedback control systems with both mismatched and matched uncertainties. Through the approach, we draw some sufficient conditions for robust stability, and we give a simple example.

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ON CONJUGACY OF p-GONAL AUTOMORPHISMS

  • Hidalgo, Ruben A.
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.2
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    • pp.411-415
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    • 2012
  • In 1995 it was proved by Gonz$\acute{a}$lez-Diez that the cyclic group generated by a p-gonal automorphism of a closed Riemann surface of genus at least two is unique up to conjugation in the full group of conformal automorphisms. Later, in 2008, Gromadzki provided a different and shorter proof of the same fact using the Castelnuovo-Severi theorem. In this paper we provide another proof which is shorter and is just a simple use of Sylow's theorem together with the Castelnuovo-Severi theorem. This method permits to obtain that the cyclic group generated by a conformal automorphism of order p of a handlebody with a Kleinian structure and quotient the three-ball is unique up to conjugation in the full group of conformal automorphisms.

STRONG CONVERGENCE THEOREMS FOR LOCALLY PSEUDO-CONTRACTIVE MAPPINGS IN BANACH SPACES

  • Jung, Jong-Soo
    • Communications of the Korean Mathematical Society
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    • v.17 no.1
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    • pp.37-51
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    • 2002
  • Let X be a reflexive Banach space with a uniformly Gateaux differentiable norm, C a nonempty bounded open subset of X, and T a continuous mapping from the closure of C into X which is locally pseudo-contractive mapping on C. We show that if the closed unit ball of X has the fixed point property for nonexpansive self-mappings and T satisfies the following condition: there exists z $\in$ C such that ∥z-T(z)∥<∥x-T(x)∥ for all x on the boundary of C, then the trajectory tlongrightarrowz$_{t}$$\in$C, t$\in$[0, 1) defined by the equation z$_{t}$ = tT(z$_{t}$)+(1-t)z is continuous and strongly converges to a fixed point of T as t longrightarrow 1 ̄.ow 1 ̄.

Process Sequence Design in Cold Forging of Constant Velocity Joint Housing (등속조인트 하우징의 냉간단조 공정설계)

  • 이진희;강범수;김병민
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.9
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    • pp.2234-2244
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    • 1994
  • A process sequence of multi-operation cold forging for actual application in industry is designed with the rigid-plastic finite element method to form a constant velocity joint housing(CVJ housing). The material flow during the CVJ housing forming is axisymmetric until the final forging process for forming of ball grooves. This study treats the deformation as an axisymmetric case. The main objective of the process sequence design is to obtain preforms which satisfy the design criteria of near-net-shape product requiring less machining after forming. The process sequence design also investigates velocity distributions, effective strain distributions and forging loads, which are useful information in the real process design.

Pressure Dependence of the Viscosity of Toluene (톨루엔의 점성도에 대한 압력 의존성)

  • Kim, Jeong Rim
    • Journal of the Korean Chemical Society
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    • v.43 no.3
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    • pp.251-256
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    • 1999
  • Viscosities of toluene were experimentally determined by the falling-ball method at several temperatures and pressures to investigate the pressure and temperature dependence of the viscosity of toluene. With the shear stress of the viscous flow of toluene, the shear free energy, the shear entropy, and the shear enthalpy were defined to discuss the variations of the shear thermodynamic properties with pressure. The effect of temperature and pressure on the shear thermodynamic properties obtained experimentally can be explained by means of the molecular thermal agitation due to temperature incleasing and the steric effect of the closed molecules of to Iuene due to pressure elevation.

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Tracheobronchial Rupture following Blunt Chest Trauma -1 case report- (외상성 기관지 파열 -1례 보고-)

  • 김용한
    • Journal of Chest Surgery
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    • v.23 no.3
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    • pp.588-593
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    • 1990
  • The rupture of tracheobronchial tree caused by non penetrating blunt trauma is being increased in incidence though it is still rarely occurred on now Because this type of injury is uncommon, a high index of suspicion should be maintained in all crush injuries involving the chest. Early diagnosis and primary repair not only restore normal lung function but also avoid the difficulties and complications associated with delayed diagnosis and repair. We experienced a case of tracheobronchial rupture caused by non penetrating blunt chest trauma without rib fracture. The patient was a 16 year old male who was a high school student. He was compressed on anterior chest by hand ball goal post being failed down on the morning of admission day. After this accident, he was suffered from progressively developing dyspnea and subcutaneous emphysema on face, neck and anterior chest. The diagnosis, tracheal rupture, was made by chest CT and bronchoscopy. After right thoracotomy, the ruptured site was directly closed by using interrupted suture. Post-operative course was uneventful. Thus we report this case of traumatic tracheal rupture with review of literature.

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BOUNDARIES FOR AN ALGEBRA OF BOUNDED HOLOMORPHIC FUNCTIONS

  • Moraes, L.A.;Grados, L.-Romero
    • Journal of the Korean Mathematical Society
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    • v.41 no.1
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    • pp.231-242
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    • 2004
  • Let $A_b(B_E)$ be the Banach algebra of all complex valued bounded continuous functions on the closed unit ball $B_E$ of a complex Banach space E, and holomorphic in the interior of $B_E$, endowed with the sup norm. We present some sufficient conditions for a set to be a boundary for $A_b(B_E)$ in case E belongs to a class of Banach spaces that includes the pre-dual of a Lorentz sequence space studied by Gowers in [6]. We also prove the non-existence of the Shilov boundary for $A_b(B_E)$ and give some examples of boundaries.