• Title/Summary/Keyword: Natural Space

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REMARKS ON CONVERGENCE OF INDUCTIVE MEANS

  • PARK, JISU;KIM, SEJONG
    • Journal of applied mathematics & informatics
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    • v.34 no.3_4
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    • pp.285-294
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    • 2016
  • We define new inductive mean constructed by a mean on a complete metric space, and see its convergence when the intrinsic mean is given. We also give many examples of inductive matrix means and claim that the limit of inductive mean constructed by the intrinsic mean is not the Karcher mean, in general.

PROJECTIVE SYSTEMS SUPPORTED ON THE COMPLEMENT OF TWO LINEAR SUBSPACES

  • Masaaki Homma;Kim, Seon-Jeong;Yoo, Mi-Ja
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.3
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    • pp.493-505
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    • 2000
  • We discuss the class of projective systems whose supports are the complement of the union of two linear subspaces in general position. We express the weight enumerators of the codes generated by these projective systems using two simplex codes corresponding to given linear subspaces. We also prove these codes are uniquely determined upto equivalence by their weight enumerators.

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STABILITY OF TRIGINTIC FUNCTIONAL EQUATION IN MULTI-BANACH SPACES: FIXED POINT APPROACH

  • Ramdoss, Murali;Aruldass, Antony Raj;Park, Choonkil;Paokanta, Siriluk
    • Korean Journal of Mathematics
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    • v.26 no.4
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    • pp.615-628
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    • 2018
  • In this paper, we introduce the pioneering trigintic functional equation. Moreover, we establish the general solution of the trigintic functional equation and prove the Hyers-Ulam sum and product stabilities of the same equation in multi-Banach spaces by employing the fixed point approach.

SUBORDINATION AND SUPERORDINATION IMPLICATIONS ASSOCIATED WITH A CLASS OF NONLINEAR INTEGRAL OPERATORS

  • SEON HYE AN;NAK EUN CHO
    • Journal of Applied and Pure Mathematics
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    • v.5 no.3_4
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    • pp.223-236
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    • 2023
  • In the present paper, we investigate the subordination and superordination implications for a class of certain nonlinear integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type theorem for these integral operators is also presented. Further, we extend some results given earlier as special cases of the main results presented here.

A Study on the Improving Diaphgram for Micro Speaker Performance using Taguchi Method (다구찌법을 이용한 마이크로 스피커용 다이아프램의 성능개선에 관한 연구)

  • Hong, D.K.;Woo, B.C.;Ahn, C.H.
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.534-538
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    • 2004
  • On this study, we improved diaphgram for micro speaker performance using Taguchi method in discrete design space. The design of diaphgram has an effect on performance of micro speaker such as, thickness of diaphgram, shape of diaphgram, etc. Therefore this study carried to decide shape of diaphgram and thickness of diaphgram for minimizing 2nd natural frequency of diaphgram using Taguchi method. we showed improved design factors that minimized 2nd natural frequency of diaphgram. Also, 2nd natural frequency of diaphgram for micro speaker is reduced up to 37 percent maintaining twist mode shape. From the results of ANOVA, 2nd natural frequency of diaphgram for micro speaker have an effect on position of the outer curved shape and thickness of diaphgram.

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A Study on Performance Improvement of Diaphgram for Micro Speaker using Table of Orthogonal Array (직교배열표를 이용한 마이크로 스피커용 다이아프램의 성능개선에 관한 연구)

  • 홍도관;우병철;안찬우
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.162-165
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    • 2004
  • On this study, we improved diaphgram for micro speaker performance using Taguchi method in discrete design space. The design of diaphgram has an effect on performance of micro speaker such as, thickness of diaphgram, shape of diaphgram, etc. Therefore this study carried to decide shape of diaphgram and thickness of diaphgram for minimizing 2nd natural frequency of diaphgram using Taguchi method. we showed improved design factors that minimized 2nd natural frequency of diaphgram. Also, 2nd natural frequency of diaphgram for micro speaker is reduced up to 37 percent maintaining twist mode shape. From the results of ANOVA, 2nd natural frequency of diaphgram for micro speaker have an effect on position of the outer curved shape and thickness of diaphgram.

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A Study on the Robust Controller in Independent Modal space for Parameter Errors (파라메타 오차에 강인한 독립모달공간 제어기법에 대한 연구)

  • 황재혁;김준수;박대성;박명호
    • Journal of KSNVE
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    • v.6 no.5
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    • pp.595-605
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    • 1996
  • If the control force designed on the basis of the mathematical model with parameter errors is applied to control the actual system, the closed-loop performance of the actual system will be degraded depending on the degree of the errors, In this study, the effect of parameter errors on the robustness of several natural controls has been analyzed and compared. Every asymptoic stability condition for the natural controls has been derived using Lyapunov approach, and the characteristics of the stability conditions has also been compared. The extent of deviation of the closed-loop performance from the designed one for the natural controls is derived using operator techniques, and evaluated by numerical method. It has been found that the optimal control, acceleration feedback control, and acceleration-position feedback control among the considered natural controls would be robust one with respect to the parameter errors.

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Biodegradable Starch-Based Resin Reinforced with Continuous Mineral Fibres-Processing, Characterisation and Mechanical Properties

  • Wittek, Thomas;Tanimoto, Toshio
    • Advanced Composite Materials
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    • v.18 no.2
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    • pp.167-185
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    • 2009
  • Environmental problems caused by extensive use of polymeric materials arise mainly due to lack of landfill space and depletion of finite natural resources of fossil raw materials like petroleum or natural gas. The substitution of synthetic petroleum-based resins with natural biodegradable resins appears to be one appropriate measure to remedy the above-mentioned situation. This study presents the development of a composite that uses environmentally degradable starch-based resin as matrix and natural mineral basalt fibres as reinforcement, and investigates the fibre's and the composite's mechanical properties. The tensile strength of single basalt fibres was verified by means of single fibre tensile tests and statistically investigated by means of a Weibull analysis. Prepreg sheets were manufactured by means of a modified doctor blade system and hot power press. The sheets were used to manufacture specimens with fibre volume contents ranging from 33% to 61%. Specimens were tested for tensile strength, flexural strength and interlaminar shear strength. Composites manufactured during this study exhibited tensile and flexural strength of up to 517 MPa and 157 MPa, respectively.

Study of the Dependency of the Stirling Cryocooler′s Thermodynamic Performance on the Operating Frequency (스터링 극저온 냉동기 성능의 운전주파수 의존성에 관한 연구)

  • 홍용주;박성제;김효봉;유병건;최영돈
    • Progress in Superconductivity and Cryogenics
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    • v.4 no.1
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    • pp.140-144
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    • 2002
  • A free piston and free displacer (FPFD) Stirling cryocooler has been widely used for the cooling infrared and cryo-sensor. The thermodynamic performance of the free piston and free displacer type (FPFD) Stirling cryocooler is highly dependent on the operating frequency of the linear compressor and the natural frequency of the displacer. In this study, to find optimal relation between operating and natural frequency of the displacer the dynamic characteristics of the displacer in the expansion space of the Stirling cooler was investigated by experiment. The experimental results show that the Stifling cryocooler has maximum cooling capacity at the operating frequency of about 0.8 times of the natural frequency of displacer. Therefore the operating frequency of the Stirring cryocooler should be determined by natural frequency of the linear compressor and displacer.