• Title/Summary/Keyword: normal operator

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STRONG CONVERGENCE OF STRICT PSEUDO-CONTRACTIONS IN Q-UNIFORMLY SMOOTH BANACH SPACES

  • Pei, Yonggang;Liu, Fujun;Gao, Qinghui
    • Journal of applied mathematics & informatics
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    • v.33 no.1_2
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    • pp.13-31
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    • 2015
  • In this paper, we introduce a general iterative algorithm for finding a common element of the common fixed point set of an infinite family of ${\lambda}_i$-strict pseudo-contractions and the solution set of a general system of variational inclusions for two inverse strongly accretive operators in q-uniformly smooth Banach spaces. Then, we analyze the strong convergence of the iterative sequence generated by the proposed iterative algorithm under mild conditions.

WEIGHTED MOORE-PENROSE INVERSES OF ADJOINTABLE OPERATORS ON INDEFINITE INNER-PRODUCT SPACES

  • Qin, Mengjie;Xu, Qingxiang;Zamani, Ali
    • Journal of the Korean Mathematical Society
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    • v.57 no.3
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    • pp.691-706
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    • 2020
  • Necessary and sufficient conditions are provided under which the weighted Moore-Penrose inverse AMN exists, where A is an adjointable operator between Hilbert C-modules, and the weights M and N are only self-adjoint and invertible. Relationship between weighted Moore-Penrose inverses AMN is clarified when A is fixed, whereas M and N are variable. Perturbation analysis for the weighted Moore-Penrose inverse is also provided.

An Experimental Study on Fault Detection and Diagnosis Method for a Water Chiller Using Bayes Classifier (베이즈 분류기를 이용한 수냉식 냉동기의 고장 진단 방법에 관한 실험적 연구)

  • Lee, Heung-Ju;Chang, Young-Soo;Kang, Byung-Ha
    • Proceedings of the SAREK Conference
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    • 2008.06a
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    • pp.36-41
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    • 2008
  • Fault detection and diagnosis(FDD) system is beneficial in equipment management by providing the operator with tools which can help find out a failure of the system. An experimental study has been performed on fault detection and diagnosis method for a water chiller. Bayes classifier, which is one of classical pattern classifiers, is adopted in deciding whether fault occurred or not. FDD algorithm can detect refrigerant leak failure, when 20% amount of charged refrigerant for normal operation leaks from the water chiller. The refrigerant leak failure caused COP reduction by 6.7% compared with normal operation performance. When two kinds of faults, such as a decrease in the mass flow rate of cooling water and temperature sensor fault of cooling water inlet, are detected, COP is a little decreased by these faults.

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UNIQUENESS RELATED TO HIGHER ORDER DIFFERENCE OPERATORS OF ENTIRE FUNCTIONS

  • Xinmei Liu;Junfan Chen
    • The Pure and Applied Mathematics
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    • v.30 no.1
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    • pp.43-65
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    • 2023
  • In this paper, by using the difference analogue of Nevanlinna's theory, the authors study the shared-value problem concerning two higher order difference operators of a transcendental entire function with finite order. The following conclusion is proved: Let f(z) be a finite order transcendental entire function such that λ(f - a(z)) < ρ(f), where a(z)(∈ S(f)) is an entire function and satisfies ρ(a(z)) < 1, and let 𝜂(∈ ℂ) be a constant such that ∆𝜂n+1 f(z) ≢ 0. If ∆𝜂n+1 f(z) and ∆𝜂n f(z) share ∆𝜂n a(z) CM, where ∆𝜂n a(z) ∈ S ∆𝜂n+1 f(z), then f(z) has a specific expression f(z) = a(z) + BeAz, where A and B are two non-zero constants and a(z) reduces to a constant.

Design of Robust Expected Loss Control Chart (로버스트 기대손실 관리도의 설계)

  • Lee, Hyeung-Jun;Chung, Young-Bae
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.39 no.3
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    • pp.10-17
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    • 2016
  • Control Chart is a graph which dots the characteristic values of a process. It is the tool of statistical technique to keep a process in controlled condition. It is also used for investigating the state of a process. Therefore many companies have used Control Chart as the tool of statistical process control (SPC). Products from a production process represent accidental dispersion values around a certain reference value. Fluctuations cause of quality dispersion is classified as a chance cause and a assignable cause. Chance cause refers unmanageable practical cause such as operator proficiency differences, differences in work environment, etc. Assignable cause refers manageable cause which is possible to take actions to remove such as operator inattention, error of production equipment, etc. Traditionally ${\bar{x}}-R$ control chart or ${\bar{x}}-s$ control chart is used to find and remove the error cause. Traditional control chart is to determine whether the measured data are in control or not, and lets us to take action. On the other hand, RNELCC (Reflected Normal Expected Loss Control Chart) is a control chart which, even in controlled state, indicates the information of economic loss if a product is in inconsistent state with process target value. However, contaminated process can cause control line sensitive and cause problems with the detection capabilities of chart. Many studies on robust estimation using trimmed parameters have been conducted. We suggest robust RNELCC which used the idea of trimmed parameters with RNEL control chart. And we demonstrate effectiveness of new control chart by comparing with ARL value among traditional control chart, RNELCC and robust RNELCC.

Repeatability of a Multi-segment Foot Model with a 15-Marker Set in Normal Children

  • Kim, Eo Jin;Shin, Hyuk Soo;Lee, Jae Hee;Kyung, Min Gyu;Yoo, Hyo Jeong;Yoo, Won Joon;Lee, Dong Yeon
    • Clinics in Orthopedic Surgery
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    • v.10 no.4
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    • pp.484-490
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    • 2018
  • Background: The use of three-dimensional multi-segment foot models (3D MFMs) is increasing since they have superior ability to illustrate the effect of foot and ankle pathologies on intersegmental motion of the foot compared to single-segment foot model gait analysis. However, validation of the repeatability of the 3D MFMs is important for their clinical use. Although many MFMs have been validated in normal adults, research on MFM repeatability in children is lacking. The purpose of this study is to validate the intrasession, intersession, and interrater repeatability of an MFM with a 15-marker set (DuPont foot model) in healthy children. Methods: The study included 20 feet of 20 healthy children (10 boys and 10 girls). We divided the participants into two groups of 10 each. One group was tested by the same operator in each test (intersession analysis), while the other group was tested by a different operator in each test (interrater analysis). The multiple correlation coefficient (CMC) and intraclass correlation coefficient (ICC) were calculated to assess repeatability. The difference between the two sessions of each group was assessed at each time point of gait cycle. Results: The intrasession CMC and ICC values of all parameters showed excellent or very good repeatability. The intersession CMC of many parameters showed good or better repeatability. Interrater CMC and ICC values were generally lower for all parameters than intrasession and intersession. The mean gaps of all parameters were generally similar to those of the previous study. Conclusions: We demonstrated that 3D MFM using a 15-marker set had high intrasession, intersession, and interrater repeatability in the assessment of foot motion in healthy children but recommend some caution in interpreting the hindfoot parameters.

Ultrasonography and Ultrasound-guided Interventions of the Shoulder

  • Moon, Sang Ho;Ko, Kwang Pyo;Baek, Seung Il;Lee, Song
    • Clinics in Shoulder and Elbow
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    • v.18 no.3
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    • pp.172-193
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    • 2015
  • Nowadays shoulder ultrasound is commonly used in the assessment of shoulder diseases and is as accurate as magnetic resonance imaging in the detection of several pathologies. Operator dependence is the main disadvantage of shoulder ultrasound. After adhering to a strict examination protocol, good knowledge of normal anatomy and pathologic processes and an awareness of common pitfalls, it can be used as a focused examination providing rapid, real-time diagnosis, and treatment by ultrasound-guided interventions in desired clinical situations. Also shoulder ultrasound can help the surgeon decide whether treatment will be surgical or nonsurgical. If arthroscopy is planned, sonographic findings help to counsel patients regarding surgical and functional outcomes. If a nonsurgical approach is indicated, ultrasound can be used to follow patients. This review article presents the examination techniques, the normal sonographic appearances and the main pathologic conditions found in shoulder ultrasound. And also addresses a simplified approach to scanning and ultrasound-guided intervention. Knowledge of optimal techniques, normal anatomy, dynamic maneuvers, and pathologic conditions is essential for optimal performance and interpretation of images.

Acoustic and Stroboscopic Characteristics in Teachers, Clergies and Telephone Operators (교사, 목사 및 교환수들의 음성발성에 대한 음향분석학적 특징)

  • 진성민;박상욱;이정우;이경철;이용배
    • Journal of the Korean Society of Laryngology, Phoniatrics and Logopedics
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    • v.9 no.1
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    • pp.53-58
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    • 1998
  • Objectives : To compare the voice quality and voice problems of untrained professional voice user groups with that of normal control group without voice problem. Materials and Methods : The sustained vowel sounds of 13 male and 36 female teachers, 46 clergies and 15 telephone operators, and 40 normal male and 20 normal female persons were analyzed, using a videostroboscopy and acoustic analyzer. Together with these analyses, a questionnaire associated with risk factors for current and past voice problems was handed over to the patients. Results : The most common symptom in subjective groups was the voice fatigue. In stroboscopic examination, the professional voice user groups shelved functional voice disorder findings regardless of the Intensity of voice use. In the clergy and teacher using loud voice, vocal polyp, vocal nodule and hyperfunction of laryngeal muscle were frequently observed. In the clergy and telephone operator, jitter and shimmer were significantly increased. In the female teacher, the value of jitter, fundamental frequency variation and fundamental frequency were statiscally significant. However, the voice of male teacher showed no significant findings in the acoustic and aerodynamic studies. Conclusion : In the management of voice problems for untrained professional voice user groups, it is important to find the exact causes and patterns of voice problems, and to be individualized the management according to the causes.

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Determination of Primary Working Area based on Working Comfort (사용 편의성에 기초한 주작업영역의 결정)

  • 박성준;정의승
    • Proceedings of the ESK Conference
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    • 1995.04a
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    • pp.155-164
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    • 1995
  • For efficient operation, vital hand controls must be easily controlled by the operator from his normal working position. The primary working area based on operator's working comfort was developed to serve as a design guideline tothe control panel layout. Ten male subjects participated in the experiment in which working comfort was measured for two controls of a lever type control and a knob type control with respect to the frontal and sagittal distances from the body center and the slope of a workplace. The response surface methodolgy using a central composite design was employed to develop a prediction model for perceived working comfort of each control. Both controls have a similar pattern of comfortable working area, but the lever type control has slightly broader working area. The concept of the proposed working area is a significant extension to the conventional working area such as Farley's or Squires' curves. It is shown that the distance toa control device and the slope have a quadratic effect to working comfort. It is noticeable that comfortable working area exists outside the conventional working area. The result of the response surface analysis also indicated that a little slope of about 15 .deg. for a control panel improves working comfort.

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A New Concept of Power Flow Analysis

  • Kim, Hyung-Chul;Samann, Nader;Shin, Dong-Geun;Ko, Byeong-Hun;Jang, Gil-Soo;Cha, Jun-Min
    • Journal of Electrical Engineering and Technology
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    • v.2 no.3
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    • pp.312-319
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    • 2007
  • The solution of the power flow is one of the most important problems in electrical power systems. These traditional methods such as Gauss-Seidel method and Newton-Raphson (NR) method have had drawbacks up to now such as initial values, abnormal operating solutions and divergences in heavy loads. In order to overcome theses problems, the power flow solution incorporating genetic algorithm (GA) is introduced in this paper. General operator of genetic algorithm, arithmetic crossover, and non-uniform mutation operator of GA are suggested to solve the power flow problem. While abnormal solution cannot be obtained by a NR method, multiple power flow solution can be obtained by a GA method. With a heavy load, both normal solution and abnormal solution can be obtained by a proposed method. In this paper, a floating number representation instead of the binary number representation is introduced for accuracy. Simulation results have been compared with traditional methods.