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ON THE MINIMUM ORDER OF 4-LAZY COPS-WIN GRAPHS

  • Sim, Kai An;Tan, Ta Sheng;Wong, Kok Bin
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.6
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    • pp.1667-1690
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    • 2018
  • We consider the minimum order of a graph G with a given lazy cop number $c_L(G)$. Sullivan, Townsend and Werzanski [7] showed that the minimum order of a connected graph with lazy cop number 3 is 9 and $k_3{\square}k_3$ is the unique graph on nine vertices which requires three lazy cops. They conjectured that for a graph G on n vertices with ${\Delta}(G){\geq}n-k^2$, $c_L(G){\leq}k$. We proved that the conjecture is true for k = 4. Furthermore, we showed that the Petersen graph is the unique connected graph G on 10 vertices with ${\Delta}(G){\leq}3$ having lazy cop number 3 and the minimum order of a connected graph with lazy cop number 4 is 16.

Novel Dual DC-DC Flyback Converter with Leakage-Energy Recycling

  • Yang, Lung-Sheng
    • Journal of Power Electronics
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    • v.18 no.4
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    • pp.1007-1014
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    • 2018
  • A novel dual DC-DC flyback converter with leakage-energy recycling is presented in this paper. Only an active switch is used for this converter. A pulse-width-modulation strategy is adopeted to control this switch. Two transformers are employed for the proposed converter. During the switch ON-period, the primary windings of the two transformers store energies. At the switch OFF-period, the energies stored in the primary windings of the two transformers are released to the output via the secondary windings of the two transformers. Meanwhile, the leakage energies of the two transformers can be recycled. The operating principles and steady-state analyses of the proposed converter are described in detail. A prototype circuit of the proposed converter is implemented for verifying the performances.

Implications of telomerase reverse transcriptase in tumor metastasis

  • Zou, Yongkang;Cong, Yu-sheng;Zhou, Junzhi
    • BMB Reports
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    • v.53 no.9
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    • pp.458-465
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    • 2020
  • Metastasis is the main culprit of the great majority of cancerrelated deaths. However, the complicated process of the invasion-metastasis cascade remains the least understood aspect of cancer biology. Telomerase plays a pivotal role in bypassing cellular senescence and sustaining the cancer progression by maintaining telomere homeostasis and genomic integrity. Telomerase reverse transcriptase (TERT) exerts a series of fundamental functions that are independent of its enzymatic cellular activity, including proliferation, inflammation, epithelia-mesenchymal transition (EMT), angiogenesis, DNA repair, and gene expression. Accumulating evidence indicates that TERT may facilitate most steps of the invasion-metastasis cascade. In this review, we summarize important advances that have revealed some of the mechanisms by which TERT facilitates tumor metastasis, providing an update on the non-canonical functions of telomerase beyond telomere maintaining.

EXACT SOLUTIONS OF THE MDI AND SAWADA-KOTERA EQUATIONS WITH VARIABLE COEFFICIENTS VIA EXP-FUNCTION METHOD

  • Zhang, Sheng;Abdou, M.A.
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.143-152
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    • 2010
  • Based on the Exp-function method and a suitable transformation, new generalized solitonary solutions including free parameters of the MDI and Sawada-Kotera equations with variable coefficients are obtained, form which solitary wave solutions and periodic solutions including some known solutions reported in open literature are derived as special cases. The free parameters in the obtained generalized solitonary solutions might imply some meaningful results in the physical models. It is shown that the Exp-function method provides a very effective and important new method for nonlinear evolution equations with variable coefficients.

A Rotordynamic Analysis of Circumferentially-Grooved Pump Seals Based on a Three-Control-Volume Theory

  • Ha, Tae-Woong;Lee, An-Sung
    • Journal of Mechanical Science and Technology
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    • v.14 no.3
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    • pp.261-271
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    • 2000
  • In this paper the leakage prediction and rotordynamic analysis of an annular seal with a smooth rotor and circumferentially grooved stator are performed based on a three-controlvolume theory. The present analysis is validated by comparing with the experimental data of Iwatsubo and Sheng and theoretical results suggested by Marquette and Childs. For the leakage prediction the present analysis shows a good agreement with Marquette and Childs' result and a qualitation agreement with Iwatsubo and Shengs' experimental data. Direct and cross-coupled stiffness coefficients show closer agreement with the experimental values than those of Marquette and Childs. However, direct damping coefficient shows greater discrepancy from the experimental value than Marquette and Childs'.

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In-plane Vibration Analysis of Rotating Cantilever Curved Beams

  • Zhang, Guang-Hui;Liu, Zhan Sheng;Yoo, Hong-Hee
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.1045-1050
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    • 2007
  • Equations of motion of rotating cantilever curved beams are derived based on a dynamic modeling method developed in this paper. The Kane's method is employed to derive the equations of motion. Different from the classical linear modeling method which employs two cylindrical deformation variables, the present modeling method employs a non-cylindrical variable along with a cylindrical variable to describe the elastic deformation. The derived equations (governing the stretching and the bending motions) are coupled but linear. So they can be directly used for the vibration analysis. The coupling effect between the stretching and the bending motions which could not be considered in the conventional modeling method is considered in this modeling method. The natural frequencies of the rotating curved beams versus the rotating speed are calculated for various radii of curvature and hub radius ratios.

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THE INVESTIGATION OF PSEUDOELASTIC NITI WIRES FOR DAMPING USES

  • Pan, Qiang;Cho, Chong-Du;Lu, Sheng
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.154-159
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    • 2007
  • Some shape memory alloys like NiTi show noticeable high damping property in pseudoelastic range. Due to its instinct characteristics, a NiTi alloy is commonly used for passive damping applications, in which the energy may be dissipated by the conversion from mechanical to thermal energy. Previous researches found the NiTi wires own higher damping property than the bars; therefore the wire form is adopted in this study. A loss factor is introduced for measuring the damping property of the NiTi wires. The experimental observation shows the mechanical behaviors of NiTi wires are dependent on temperature, strain rate and strain amplitude. Moreover, it is found the first several decades of loading-unloading cycles can obviously influence the property of NiTi wires under the same working conditions.

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Fuzzy Logic Modeling and Control for Drilling of Composite Laminates ; Simulation

  • Chung, Byeong-Mook;Ye Sheng;Masayoshi Tomizuka
    • International Journal of Precision Engineering and Manufacturing
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    • v.2 no.1
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    • pp.11-17
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    • 2001
  • In drilling of composite laminates, it is important to minimize of reduce occurrences of delaminations. In particular, a peel -up delamination at entrance and push-up delamination at exit are common. Deleaminations may by avoided by regulating the drill thrust force can be controlled by adjusting the feedrate of the drill. Dynamics involved in drilling of composite laminates is time varying and nonlinear. In this paper, a fuzzy logic model and control strategy are proposed. Simulation results show that the fuzzy model can describe the nonlinear time-varying process well. The fuzzy controller realizes a fast rise time and a little overshoot of drilling force.

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Calculation on the Ion Flow Field under HVDC Transmission Lines Considering Wind Effects

  • Wu, Jing;Gao, Sheng;Liu, Yuxiao
    • Journal of Electrical Engineering and Technology
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    • v.10 no.5
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    • pp.2077-2082
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    • 2015
  • Based on Deutsch assumption, a calculation method on the electric field over the ground surface under HVDC transmission lines in the wind is proposed. Analyzing the wind effects on the electric field and the space charge density the existing method based on Deutsch assumption is improved through adding the wind speed to the ion flow field equations. The programming details are illustrated. The calculation results at zero wind speed are compared with available data to validate the code program. Then the ionized fields which resulted from corona of ±800kV HVDC lines are analyzed. Both the electric field and the current density on the ground level are computed under different wind direction and speed. The computation results are in good agreement with measurements. The presented method and code program can be used to rapidly predict and evaluate the wind effects in HVDC transmission engineering.

Integrative Oncology Practice Guidelines (통합 종양학 시술 지침)

  • Liu, Yuan-Sheng;Lee, Jong-Hoon;Lee, Yeon-Weol;Cho, Chong-Kwan;Yoo, Hwa-Seung
    • Journal of Korean Traditional Oncology
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    • v.12 no.1
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    • pp.37-65
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    • 2007
  • The Society for Integrative Oncology (SIO) is an international organization established to encourage scientific evaluation, dissemination of evidence-based information, and appropriate clinical integration of complementary therapies (http://www.Integrativeonc.org.). Practice Guidelines were developed by the authors listed below and by the Executive Committee of the Society for Integrative Oncology, which approved this document. Guidelines are a work in progress; they will be updated as needed and are available on the SIO Web site as well: www.IntegrativeOnc.org.

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