• Title/Summary/Keyword: Operational Stability

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A STABILITY THEOREM FOR FEYNMAN'S OPERATIONAL CALCULUS

  • Ahn, Byung-Moo
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.479-487
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    • 2007
  • A variety of Feynman's operational calculus for noncommuting operators was studied [3,4,5,6,7,10]. And a stability in the continuous measures for Feynman's operational calculus was studied [9]. In this paper, we investigate a stability of the Feynman's operational calculus in the setting where the time-ordering measures are allowed to have both continuous and discrete parts.

CONVERGENCE THEOREMS IN FEYNMAN@S OPERATIONAL CALCULUS

  • AHN BYUNG MOO;LEE CHOON HO
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.485-493
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    • 2005
  • A variety of Feynman's operational calculus for noncommuting operators was studied [2,3,4,5,6]. And a stability in the measures for Feynman's operational calculus was studied [9]. In this paper, we investigate a stability of the Feynman's operational calculus with respect to the operators.

WEAK CONVERGENCE THEOREMS IN FEYNMAN'S OPERATIONAL CALCULI : THE CASE OF TIME DEPENDENT NONCOMMUTING OPERATORS

  • Ahn, Byung Moo
    • Journal of the Chungcheong Mathematical Society
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    • v.25 no.3
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    • pp.531-541
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    • 2012
  • Feynman's operational calculus for noncommuting operators was studied by means of measures on the time inteval. And various stability theorems for Feynman's operational calculus were investigated. In this paper we see the time-dependent stability properties when the operator-valued functions take their values in a separable Hilbert space.

A Simulated Study on the Stability during Crossing Operation of K21 Infantry Fighting Vehicle (K21 보병전투차량의 도하작전 간 안정성에 관한 시뮬레이션 연구)

  • Sung Do Kim;Byung Kil Lee;Jang Wook Hur
    • Journal of the Korean Society of Systems Engineering
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    • v.19 no.1
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    • pp.39-43
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    • 2023
  • In ground weapon systems, the design and analysis technology for water operation stability is a relatively unknown area compared to maritime weapon systems. Through this study, it was confirmed that our weapon system satisfies the criteria for stability on the water when considering the operational concept and operational performance. However, there is a limitation of the study that it did not perform verification tests on the actual system. Therefore, in the future research and weapon system acquisition process, a procedure to prove the stability through freeboard analysis using the actual system is required.

FEYNMAN′S OPERATIONAL CALCULI FOR TIME DEPENDENT NONCOMMUTING OPERATORS

  • Brian Jefferies
    • Journal of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.193-226
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    • 2001
  • We study Feynman's Operational Calculus for operator-valued functions of time and for measures which are not necessarily probability measures; we also permit the presence of certain unbounded operators. further, we relate the disentangling map defined within the solutions of evolution equations and, finally, remark on the application of stability results to the present paper.

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Stability Analysis using Dynamic Model of Two Industrial Robots Handling a Single Object (두개의 ROBOT이 한물체를 다룰때의 Dynamic Model을 이용한 Stability Analysis)

  • Kim, Kab-Il
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.809-812
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    • 1991
  • Two control strategies are proposed for two arm robots; i.e. position-position control and position-force control. For the proof of these control strategies, the stability analysis is conducted with robot dynamics included. First, the closed form dynamic equation of the robot is derived, then it is transformed into the operational space for further analysis. Finally, Liapunov method is applied to the dynamic equation in operational space.

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A Parametric Study on Inlet Duct Treatment for Improving the Operational Stability of a Centrifugal Compressor (운전안정성 향상을 위한 원심 압축기의 유입부 형상변화에 관한 연구)

  • Seo, Tae-Wan;Heo, Man-Woong;Kim, Kwang-Yong
    • The KSFM Journal of Fluid Machinery
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    • v.19 no.5
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    • pp.12-19
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    • 2016
  • In present study, a parametric study of a centrifugal compressor with inlet treatment has been performed numerically using three-dimensional Reynolds-averaged Navier-Stokes equations. The shear stress transport turbulence model was used for analysis of turbulence. The finite volume method and unstructured grid system were used for the numerical solution. Tested parameters were related to the geometry of the inlet duct. It was found that the application of circumferentially distributed holes in the inlet duct improves operational stability of the compressor compared to that with conventional inlet duct.

How does the Operational Value Affect the Determination of Initial Fees in Franchise Restaurant Businesses? Based on a Value-Based Pricing Strategy (프랜차이즈 외식기업의 운영적 가치가 초기가맹비용결정에 미치는 영향: 가치기반 가격결정전략을 기반으로)

  • Seung Hyun KIM;Kyung A SUN
    • The Korean Journal of Franchise Management
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    • v.14 no.4
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    • pp.35-50
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    • 2023
  • Purpose: This study aims to uncover the mechanism of how initial fees are determined in the restaurant franchise business. Since the initial fees can be considered as a price of utilizing business models and operational knowledge of a certain franchise brand, it is critical to understand the fee decision-making process based on the strategic pricing theories. Therefore, this study investigates the influence of operational value on the determination of initial franchise fees grounded on a value-based pricing strategy. The Operational value is specifically categorized into profitability, growth, and stability of the franchise system. Research design, data, and methodology: The data used were collected through franchise disclosure documents and brand equity index provided by Korea Management Association Consulting. Data from 44 franchise restaurants during 2018 to 2021 are included in the sample. The panel dataset was analyzed by using generalized least squares estimation with R-Studio. Results: Profitability and stability positively influence initial franchise fees. However, growth did not influence initial franchise fees. Conclusions: The results of the study demonstrate that the operational value plays a critical role in determining the franchise fees. Specifically, franchisees recognize how much revenue a franchise system generates for them (i.e., profitability) and how stable the entire system is for operating business (i.e., stability) when they make purchasing decisions for franchise. The findings extend the pricing literature by applying pricing theories in the franchise fee context. Also, the study contributes to franchising and restaurant management literature by providing knowledge of how franchise fees are determined.

A Study on the Hydrostatic Mooring Stability of Submerged Floating Ellipsoidal Habitats

  • Pak, Sang-Wook;Lee, Han-Seok;Park, Jin
    • Journal of Navigation and Port Research
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    • v.43 no.5
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    • pp.328-334
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    • 2019
  • Underwater architecture in providing a comfortable living space underwater is mandated to survive prevailing environmental loads, especially hydrostatic ambient water pressure exerted on the structure of individual habitat hulls at depth and hydrodynamic fluctuation of external forces that perturb the postural equilibrium and mooring stability of the underwater housing system, for which the design including the hull shape and mooring system constraint the responses. In this study, the postural stability of a proposed underwater floating housing system with three vertically connected ellipsoidal-shape habitat hulls of different sizes are theorized and calculated for hydrostatic stability, using MATLAB in the volumetric integration of a hull and the weight of operational loads under assumed scenarios. The assumptions made in the numerical method to estimate the stability of the habitat system include the fixed weight of the hulls, and their adjustable loads within operational limits for the set meteorological oceanic conditions. The purpose of this study was to numerically manipulate a) The buoyancy and b) The adjusted center of mass of the system within the range of designed external and internal load changes, by which the effective mooring system capability and postural equilibrium requirements were argued with the quantitative analysis.

Effect of Various Factors on the Operational Stability of Immobilized Cells for Acrylamide Production in a Packed Bed Reactor

  • Lee, Cheo-Young;Choi, Sang-Kyo;Chang, Ho-Nam
    • Journal of Microbiology and Biotechnology
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    • v.3 no.1
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    • pp.39-45
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    • 1993
  • The effect of concentrations of phosphate buffer and acrylonitrile, pH, and various salts on the operational stability of the immobilized cells of Brevibacterium CH2 in a packed bed reactor were investigated. The effects of salts and carriers on the swelling of the immobilized beads during hydrolysis in a columnreactor were also investigated. Immobilization of the cells in Ba-alginate was more desirable than those in polyacrylamide and Ca-alinate for the swelling of the immobilized beads and the desired quality of the acrylamide produced. High quality acrylamide was produced using the Ba-alginate beads in a recycle fed-batch reactor without using an isotonic substrate. The conversion yield was nearly 100%, including a trace amount of acrylic acid produced as a by-product.

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