• 제목/요약/키워드: infinite type

검색결과 208건 처리시간 0.023초

무한차원최적화의 추진기에의 응용과 그의 수학적 유일성 고찰 (Application of the Infinite Dimensional Optimization to Marine Propellers and Its Mathematical Uniqueness)

  • 장택수;홍사영
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2002년도 춘계학술대회 논문집
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    • pp.231-236
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    • 2002
  • By using the infinite dimensional optimization[Jang and Kinoshita(2000)]. which is based on the Hilbert space theory, optimal marine propellers are studied. The mathematical uniqueness for the optimized propeller is shown in this study. As a numerical example, the MAU type propeller is considered and used as the initial guess for the optimization method. The numerical results for an optimal marine propeller is illustrated for the pitch distribution.

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ROBUST SEMI-INFINITE INTERVAL-VALUED OPTIMIZATION PROBLEM WITH UNCERTAIN INEQUALITY CONSTRAINTS

  • Jaichander, Rekha R.;Ahmad, Izhar;Kummari, Krishna
    • Korean Journal of Mathematics
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    • 제30권3호
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    • pp.475-489
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    • 2022
  • This paper focuses on a robust semi-infinite interval-valued optimization problem with uncertain inequality constraints (RSIIVP). By employing the concept of LU-optimal solution and Extended Mangasarian-Fromovitz Constraint Qualification (EMFCQ), necessary optimality conditions are established for (RSIIVP) and then sufficient optimality conditions for (RSIIVP) are derived, by using the tools of convexity. Moreover, a Wolfe type dual problem for (RSIIVP) is formulated and usual duality results are discussed between the primal (RSIIVP) and its dual (RSIWD) problem. The presented results are demonstrated by non-trivial examples.

2-LOCAL DERIVATIONS ON C*-ALGEBRAS

  • Wenbo Huang;Jiankui Li
    • 대한수학회보
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    • 제61권3호
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    • pp.813-823
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    • 2024
  • In this paper, we prove that every 2-local derivation on several classes of C*-algebras, such as unital properly infinite, type I or residually finite-dimensional C*-algebras, is a derivation. We show that the following statements are equivalent: (1) every 2-local derivation on a C*-algebra is a derivation, (2) every 2-local derivation on a unital primitive antiliminal and no properly infinite C*-algebra is a derivation. We also show that every 2-local derivation on a group C*-algebra C*(𝔽) or a unital simple infinite-dimensional quasidiagonal C*-algebra, which is stable finite antiliminal C*-algebra, is a derivation.

십자형 필릿 용접부에서의 무한 피로수명 평가에 관한 연구 (A Study on Estimation of Infinite Fatigue Life in Cruciform Fillet Welded Joint)

  • 이용복
    • 한국가스학회지
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    • 제17권1호
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    • pp.19-25
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    • 2013
  • 용접에 의한 가스설비, 교량, 선박 등 강 구조물의 접합 방법은 대부분 십자형이나 T형의 필릿 용접으로 이루어지며 구조물의 형상과 용도에 따라 완전 용입 또는 불완전 용입 상태로 이루어진다. 본 연구에서는 십자형 필릿용접 구조물에 대하여 재료 두께별 용입 깊이에 따른 피로 균열 특성을 파악하였고, 그 결과로부터 무한수명 영역내에서의 안전 설계응력에 대하여 고찰하였다. 미 용입 길이가 길면 루트 부 파괴가 되어 무한 수명 영역은 작고 미 용입 길이가 짧으면 토우부 파괴가 되어 무한 수명 영역은 크게 나타났다. 3층 용접한 재료 두께 20mm의 경우가 2층 용접한 재료 두께 10mm, 15mm의 경우보다 미세한 페라이트 침상 조직을 더 많게 형성시켜 노치 인성을 증가시키므로 서 피로강도와 무한 수명을 더 향상시킨 것으로 나타났다.

TUBES OF FINITE CHEN-TYPE

  • Al-Zoubi, Hassan;Jaber, Khalid M.;Stamatakis, Stylianos
    • 대한수학회논문집
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    • 제33권2호
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    • pp.581-590
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    • 2018
  • In this paper, we consider surfaces in the 3-dimensional Euclidean space $\mathbb{E}^3$ which are of finite III-type, that is, they are of finite type, in the sense of B.-Y. Chen, corresponding to the third fundamental form. We present an important family of surfaces, namely, tubes in $\mathbb{E}^3$. We show that tubes are of infinite III-type.

BOUNDS AND INEQUALITIES OF THE MODIFIED LOMMEL FUNCTIONS

  • Mondal, Saiful R.
    • 대한수학회논문집
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    • 제34권2호
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    • pp.573-583
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    • 2019
  • This article studies the monotonicity, log-convexity of the modified Lommel functions by using its power series and infinite product representation. Some properties for the ratio of the modified Lommel functions with the Lommel function, sinh and cosh are also discussed. As a consequence, $Tur{\acute{a}}n$ type and reverse $Tur{\acute{a}}n$ type inequalities are given. A Rayleigh type function for the Lommel functions are derived and as an application, we obtain the Redheffer-type inequality.

Variation of Radiation Impedance for Piston Source According to Baffle

  • Park, Soon-Jong;Kim, Moo-Joon;Kim, Chun-Duck
    • The Journal of the Acoustical Society of Korea
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    • 제20권2E호
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    • pp.46-50
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    • 2001
  • The characteristics of radiation impedance are analyzed by algorithms which consists of Finite Element Method (FEM) and Hybrid type Infinite Element Method. The changes of radiation impedance for piston source according to the size and the material properties of baffles are studied. The results of the radiation impedance for rigid finite baffle coincide with other reports. The more the material properties of baffle that comes across the acoustic medium, the more the calculation results of radiation impedance approach the ones without baffle. Therefore, these results can be applied to the design and the radiation characteristics analysis of acoustic transducers.

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IMPLICIT ITERATION PROCESS FOR COMMON FIXED POINTS OF AN INFINITE FAMILY OF STRICTLY PSEUDOCONTRACTIVE MAPPINGS IN BANACH SPACES

  • Chang, Shih-Sen;Cho, Yeol-Je;Kim, Jong-Kyu
    • 대한수학회논문집
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    • 제25권4호
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    • pp.571-581
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    • 2010
  • Some convergence theorems for approximating to a common fixed point of an infinite family of strictly pseudocontractive mappings of Browder-Petryshyn type are proved in the setting of Banach spaces by using a new composite implicit iterative process with errors. The results presented in the paper generalize and improve the main results of Bai and Kim [1], Gu [4], Osilike [5], Su and Li [7], and Xu and Ori [8].

금속벨트식 무단변속기(CVT)의 변속특성에 관한 실험적 연구 (An Experimental Study on the Shift Characteristics of a Metal Belt Type Continuously Variable Transmission (CVT))

  • 이충섭
    • 한국자동차공학회논문집
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    • 제5권6호
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    • pp.36-43
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    • 1997
  • To cope with quest to improve the fuel economy and vehicle performance, Continuously Variable Transmission with Changing the speed ratio between minimum and maximum ratio by infinite step, is more efficient than conventional multi-ratio transmission. In this paper, to investigate a specific CVT shift ratio diagram and CVT shift characteristics, CVT vehicle was tested on the proving ground and chassis dynamometer. The test results are as follows; CVT can obtain the excellent vehicle performance and fuel economy changing the shift ratio by infinite step, without rapid change of engine revolution and driving force. And CVT can set up a special shift range that obtains not only the engine brake effect but also the maximum speed driving.

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Calculation of the Reactor Impedance of a Planar-type Inductively Coupled Plasma Source

  • Kwon, Deuk-Chul;Jung, Bong-Sam;Yoon, Nam-Sik
    • Journal of Electrical Engineering and Technology
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    • 제7권1호
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    • pp.86-90
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    • 2012
  • A two-dimensional nonlocal heating theory of planar-type inductively coupled plasma source has been previously reported with a filamentary antenna current model. However, such model yields an infinite value of electric field at the antenna position, resulting in the infinite self-inductance of the antenna. To overcome this problem, a surface current model of antenna should be adopted in the calculation of the electromagnetic fields. In the present study, the reactor impedance is calculated based on the surface current model and the dependence on various discharge parameters is studied. In addition, a simpler method is suggested and compared with the surface current calculation.