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EXISTENCE, MULTIPLICITY AND UNIQUENESS RESULTS FOR A SECOND ORDER M-POINT BOUNDARY VALUE PROBLEM

  • Feng, Yuqiang;Liu, Sang-Yang
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.3
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    • pp.483-492
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    • 2004
  • Let : [0, 1] $\times$ [0, $\infty$) $\longrightarrow$ [0, $\infty$) be continuous and a ${\in}$ C([0, 1], [0, $\infty$)),and let ${\xi}_{i}$ $\in$ (0, 1) with 0 < {\xi}$_1$ < ${\xi}_2$ < … < ${\xi}_{m-2}$ < 1, $a_{i}$, $b_{i}$ ${\in}$ [0, $\infty$) with 0 < $\Sigma_{i=1}$ /$^{m-2}$ $a_{i}$ < 1 and $\Sigma_{i=1}$$^{m-2}$ < l. This paper is concerned with the following m-point boundary value problem: $\chi$″(t)+a(t) (t.$\chi$(t))=0,t ${\in}$(0,1), $\chi$'(0)=$\Sigma_{i=1}$ $^{m-2}$ /$b_{i}$$\chi$'(${\xi}_{i}$),$\chi$(1)=$\Sigma_{i=1}$$^{m-2}$$a_{i}$$\chi$(${\xi}_{i}$). The existence, multiplicity and uniqueness of positive solutions of this problem are discussed with the help of two fixed point theorems in cones, respectively.

Clinical and Histopathological Analysis of 66 Cases with Cardiac Myxoma

  • Zheng, Jian-Jie;Geng, Xi-Gang;Wang, Hai-Chen;Yan, Yang;Wang, Hong-Yan
    • Asian Pacific Journal of Cancer Prevention
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    • v.14 no.3
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    • pp.1743-1746
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    • 2013
  • Background and Purpose: Cardiac myxoma is a major primary heart tumor which often causes unexpected symptoms or sudden death. This present study was designed to investigate its clinical pathological features and biological behavior. Methods: A retrospective analysis of the clinical pathologic and immunohistochemical features of 66 cases with cardiac myxoma was conducted. Results: In 66 patients with cardiac myxoma, 61 cases had involvement of the left atrium, one case in both the right ventricular and left atria. The female: male ratio was 2.7:1. Patients had symptoms of blood flow obstruction and systemic alterations with performance of arterial embolization. Tumors were spherical, lobulated or irregular in shape, and soft and brittle. Immunohistochemical markers of vimentin and CD34 in tumor cells were positive. Conclusion: Cardiac myxoma always exists in the left atrium and is more common in women, with diverse clinical manifestations and pathomorphism. Although proliferative activity and the recurrence rate are low, in addition to thorough surgical resection, strengthened review is important for young patients.

An Adaptive Speed Estimation Method Based on a Strong Tracking Extended Kalman Filter with a Least-Square Algorithm for Induction Motors

  • Yin, Zhonggang;Li, Guoyin;Du, Chao;Sun, Xiangdong;Liu, Jing;Zhong, Yanru
    • Journal of Power Electronics
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    • v.17 no.1
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    • pp.149-160
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    • 2017
  • To improve the performance of sensorless induction motor (IM) drives, an adaptive speed estimation method based on a strong tracking extended Kalman filter with a least-square algorithm (LS-STEKF) for induction motors is proposed in this paper. With this method, a fading factor is introduced into the covariance matrix of the predicted state, which forces the innovation sequence orthogonal to each other and tunes the gain matrix online. In addition, the estimation error is adjusted adaptively and the mutational state is tracked fast. Simultaneously, the fading factor can be continuously self-tuned with the least-square algorithm according to the innovation sequence. The application of the least-square algorithm guarantees that the information in the innovation sequence is extracted as much as possible and as quickly as possible. Therefore, the proposed method improves the model adaptability in terms of actual systems and environmental variations, and reduces the speed estimation error. The correctness and the effectiveness of the proposed method are verified by experimental results.

Research on anti-seismic property of new end plate bolt connections - Wave web girder-column joint

  • Jiang, Haotian;Li, Qingning;Yan, Lei;Han, Chun;Lu, Wei;Jiang, Weishan
    • Steel and Composite Structures
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    • v.22 no.1
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    • pp.45-61
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    • 2016
  • The domestic and foreign scholars conducted many studies on mechanical properties of wave web steel beam and high-strength spiral stirrups confined concrete columns. Based on the previous research work, studies were conducted on the anti-seismic property of the end plate bolt connected wave web steel beam and high-strength spiral stirrups confined concrete column nodes applied with pre-tightening force. Four full-size node test models in two groups were designed for low-cycle repeated loading quasi-static test. Through observation of the stress, distortion, failure process and failure mode of node models, analysis was made on its load-carrying capacity, deformation performance and energy dissipation capacity, and the reliability of the new node was verified. The results showed that: under action of the beam-end stiffener, the plastic hinges on the end of wave web steel beam are displaced outward and played its role of energy dissipation capacity. The study results provided reliable theoretical basis for the engineering application of the new types of nodes.

MULTIPLICITY OF POSITIVE SOLUTIONS FOR MULTIPOINT BOUNDARY VALUE PROBLEMS WITH ONE-DIMENSIONAL P-LAPLACIAN

  • Zhang, Youfeng;Zhang, Zhiyu;Zhang, Fengqin
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1211-1220
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    • 2009
  • In this paper, we consider the multipoint boundary value problem for the one-dimensional p-Laplacian $({\phi}_p(u'))'$(t)+q(t)f(t,u(t),u'(t))=0, t $\in$ (0, 1), subject to the boundary conditions: $u(0)=\sum\limits_{i=1}^{n-2}{\alpha}_iu({\xi}_i),\;u(1)=\sum\limits_{i=1}^{n-2}{\beta}_iu({\xi}_i)$ where $\phi_p$(s) = $|s|^{n-2}s$, p > 1, $\xi_i$ $\in$ (0, 1) with 0 < $\xi_1$ < $\xi_2$ < $\cdots$ < $\xi{n-2}$ < 1 and ${\alpha}_i,\beta_i{\in}[0,1)$, 0< $\sum{\array}{{n=2}\\{i=1}}{\alpha}_i,\sum{\array}{{n=2}\\{i=1}}{\beta}_i$<1. Using a fixed point theorem due to Bai and Ge, we study the existence of at least three positive solutions to the above boundary value problem. The important point is that the nonlinear term f explicitly involves a first-order derivative.

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On the Concept of Generality of the Tractatus ("논리-철학 논고"의 일반성 개념에 관하여)

  • Park, Jeong-Il
    • Korean Journal of Logic
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    • v.17 no.1
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    • pp.1-32
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    • 2014
  • Both 5.52 and 5.521 of the Tractatus Logico-Philosophicus raise several questions. In this paper I will explicate Wittgenstein's concept of generality by answering such questions. These questions and problems are closely intertwined. I will try to show what follows. It is ${\xi}$-conditions that are most decisive on the concept of generality of the Tractatus. Except Ramsey, commentators such as Anscombe, Glock, Kenny etc. failed in accurately grasping the Wittgenstein's thoughts concerning ${\xi}$-condition and their claims are not fair at all. Futhermore, from a view point of history of logic, 5.52 has very important significances. That is to say, it anticipates for the first time a possibility of infinitary logic and the concept of universe of discourse in model theory.

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Experimental investigation on shear capacity of partially prefabricated steel reinforced concrete columns

  • Yang, Yong;Chen, Yang;Zhang, Jintao;Xue, Yicong;Liu, Ruyue;Yu, Yunlong
    • Steel and Composite Structures
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    • v.28 no.1
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    • pp.73-82
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    • 2018
  • This paper experimentally and analytically elucidates the shear behavior and shear bearing capacity of partially prefabricated steel reinforced concrete (PPSRC) columns and hollow partially prefabricated steel reinforced concrete (HPSRC) columns. Seven specimens including five PPSRC column specimens and two HPSRC column specimens were tested under static monotonic loading. In the test, the influences of shear span aspect ratio and difference of cast-in-place concrete strength on the shear behavior of PPSRC and HPSRC columns were investigated. Based on the test results, the failure pattern, the load-displacement behavior and the shear capacity were focused and analyzed. The test results demonstrated that all the column specimens failed in shear failure mode with high bearing capacity and good deformability. Smaller shear span aspect ratio and higher strength of inner concrete resulted in higher shear bearing capacity, with more ductile and better deformability. Furthermore, calculation formula for predicting the ultimate shear capacity of the PPSRC and HPSRC columns were proposed on the basis of the experimental results.

SCATTERING CORRECTION FOR IMAGE RECONSTRUCTION IN FLASH RADIOGRAPHY

  • Cao, Liangzhi;Wang, Mengqi;Wu, Hongchun;Liu, Zhouyu;Cheng, Yuxiong;Zhang, Hongbo
    • Nuclear Engineering and Technology
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    • v.45 no.4
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    • pp.529-538
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    • 2013
  • Scattered photons cause blurring and distortions in flash radiography, reducing the accuracy of image reconstruction significantly. The effect of the scattered photons is taken into account and an iterative deduction of the scattered photons is proposed to amend the scattering effect for image restoration. In order to deduct the scattering contribution, the flux of scattered photons is estimated as the sum of two components. The single scattered component is calculated accurately together with the uncollided flux along the characteristic ray, while the multiple scattered component is evaluated using correction coefficients pre-obtained from Monte Carlo simulations.The arbitrary geometry pretreatment and ray tracing are carried out based on the customization of AutoCAD. With the above model, an Iterative Procedure for image restORation code, IPOR, is developed. Numerical results demonstrate that the IPOR code is much more accurate than the direct reconstruction solution without scattering correction and it has a very high computational efficiency.

Numerical study of oxygen transport characteristics in lead-bismuth eutectic for gas-phase oxygen control

  • Wang, Chenglong;Zhang, Yan;Zhang, Dalin;Lan, Zhike;Tian, Wenxi;Su, Guanghui;Qiu, Suizheng
    • Nuclear Engineering and Technology
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    • v.53 no.7
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    • pp.2221-2228
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    • 2021
  • One-dimensional oxygen transport relation is indispensable to study the oxygen distribution in the LBE-cooled system with an oxygen control device. In this paper, a numerical research is carried out to study the oxygen transport characteristics in a gas-phase oxygen control device, including the static case and dynamic case. The model of static oxygen control is based on the two-phase VOF model and the results agree well with the theoretical expectation. The model of dynamic oxygen control is simplified and the gas-liquid interface is treated as a free surface boundary with a constant oxygen concentration. The influences of the inlet and interface oxygen concentration, mass flow rate, temperature, and the inlet pipe location on the mass transfer characteristics are discussed. Based on the results, an oxygen mass transport relation considering the temperature dependence and velocity dependence separately is obtained. The relation can be used in a one-dimensional system analysis code to predict the oxygen provided by the oxygen control device, which is an important part of the integral oxygen mass transfer models.

Shear strength prediction of PRC coupling beams with low span-to-depth ratio

  • Tian, Jianbo;Shen, Dandan;Li, Shen;Jian, Zheng;Liu, Yunhe;Ren, Wengeng
    • Earthquakes and Structures
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    • v.16 no.6
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    • pp.757-769
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    • 2019
  • The seismic performance of a coupled shear wall system is governed by the shear resistances of its coupling beams. The plate-reinforced composite (PRC) coupling beam is a newly developed form of coupling beam that exhibits high deformation and energy dissipation capacities. In this study, the shear capacity of plate-reinforced composite coupling beams was investigated. The shear strengths of PRC coupling beams with low span-to-depth ratios were calculated using a softened strut-and-tie model. In addition, a shear mechanical model and calculating method were established in combination with a multi-strip model. Furthermore, a simplified formula was proposed to calculate the shear strengths of PRC coupling beams with low span-to-depth ratios. An analytical model was proposed based on the force mechanism of the composite coupling beam and was proven to exhibit adequate accuracy when compared with the available test results. The comparative results indicated that the new shear model exhibited more reasonable assessment accuracy and higher reliability. This method included a definite mechanical model and reasonably reflected the failure mechanisms of PRC coupling beams with low span-to-depth ratios not exceeding 2.5.