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Compressed data separation via dual frames based split-analysis with Weibull matrices

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Applied Mathematics(A Journal of Chinese Universities) 2013年第4期28卷 427-437页

作者： cai Yun li Song Department of Mathematics Zhejiang University

In this paper, we consider data separation problem, where the original signal is composed of two distinct subcomponents, via dual frames based Split-analysis approach. We show that the two distinct subcomponents, which are sparse in two diff erent general frames respectively, can be exactly recovered with high probability, when the measurement matrix is a Weibull random matrix （not Gaussian） and the two frames satisfy a mutual coherence property. Our result may be significant for analysing Split-analysis model for data separation.

关键词： Compressed sensing data separation dual frames split-analysis Weibull random matrices

MATHEMATICAL MODEliNG OF OIL SPILL ON THE SEA AND APPliCATION OF THE MODEliNG IN DAYA BAY

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Journal of Hydrodynamics 2007年第3期19卷 282-291页

作者： CHEN hai-zhou li Da-ming li Xiao School of Civil Engineering Tianjin University Tianjin 300072

Through the study of the theory of oil spill model, a mathematical modeling of oil spill on the sea is developed which with the consideration of spread, diffusion, drifting and attenuation of oil slick is influenced by evaporation and emulsification factors. A model that under the effect of ocean dynamic condition of tide, wind and wave, using Monte Carlo method to simulate the movement of oil slick is established. The modeling is applied to calculate and predict pollution range of oil spill at oil quay and oil ship in Daya Bay. The prediction results have basically shown the pollution situation by emergency of oil spill on the sea.

关键词： oil spill on the sea spread of oil slick diffusion of oil slick Monte Carlo method bay contamination

Intentional replantation combined root resection therapy for the treatment of typeⅢradicular groove with two roots:A case report

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World Journal of Clinical Cases 2022年第20期10卷 6991-6998页

作者： Dan Tan Shi-Ting li Hao Feng Zhong-Chao Wang cai Wen Min-hai Nie Luzhou Key Laboratory of Oral and Maxillofacial Reconstruction and Regeneration The Affiliated Stomatological Hospital of Southwest Medical UniversityLuzhou 646000Sichuan ProvinceChina

BACKGROUND A radicular groove is an anatomic malformation that usually initiates at the central fossa,extending along the root at varying lengths and depths and predisposes the involved tooth to a severe periodontal *** grooves that extend to the root apex often lead to complex combined periodontal-endodontic *** are a serious challenge for doctors to diagnose and *** SUMMARY In this report,we described a patient with a maxillary lateral incisor with a deep palatogingival groove with two roots,which led to complex combined periodontal-endodontic *** treatment modalities included curettage of the affected tissues,elimination of the groove by grinding and/or sealing with a variety of filling materials,and surgical *** this case,a combination of endodontic therapy,intentional replantation,and root resection were used,which resulted in periodontal/periradicular healing after 12 *** Intentional replantation and root resection offer a predictable procedure and should be considered a viable treatment modality for the management of palatogingival grooves,especially for two-rooted teeth.

关键词： Intentional replantation Radicular groove Endo-perio lesion Root resection Case report

Unsteady 3D algebraically explicit analytical solutions for bio-heat transfer equations

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Science China(Technological Sciences) 2011年第2期54卷 362-368页

作者： li YuanYuan cai RuiXian Institute of Engineering Thermophysics Chinese Academy of Sciences Beijing 100190 China Graduate University of Chinese Academy of Sciences Beijing 100039 China

Reasonable unsteady three-dimensional explicit analytical solutions are derived with different methods for the widely used bio-heat transfer equation–Pennes *** condition to decide temperature oscillation is obtained in this *** other cases the temperature would vary monotonously along geometric coordinates as time goes *** have been very few open reports of explicit unsteady multidimensional exact analytical solutions published in *** its irreplaceable theoretical value,the analytical solution can also serve as standard solution to check numerical calculation,and therefore promote the development of numerical method of computational heat *** addition,some new special methods have been given originally and deserved further attention.

关键词： Pennes equation temperature oscillation three-dimensional unsteady analytical solutions

No evidence for the evolution of mass density power-law index γ from strong gravitational lensing observation

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Science China(Physics,Mechanics & Astronomy) 2017年第8期60卷 8-14页

作者： Jing-Lei Cui hai-li li Xin Zhang Department of Physics College of Sciences Northeastern University Center for High Energy Physics Peking University

In this paper, we consider the singular isothermal sphere lensing model that has a spherically symmetric power-law mass dis- tribution ρtot（r） - r-γ. We investigate whether the mass density power-law index y is cosmologically evolutionary by using the strong gravitational lensing （SGL） observation, in combination with other cosmological observations. We also check whether the constraint result of y is affected by the cosmological model, by considering several simple dynamical dark energy models. We find that the constraint on y is mainly decided by the SGL observation and independent of the cosmological model, and we find no evidence for the evolution of y from the SGL observation.

关键词： strong gravitational lensing mass density power-law index dynamical dark energy cosmological parameter estimation

Chen's Theorem with Small Primes

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Chinese Annals of Mathematics,Series B 2011年第3期32卷 387-396页

作者： Yingjie li Yingchun cai College of Information Technology Shanghai Ocean University Shanghai 201306 China Department of Mathematics Tongji University Shanghai 200092 China

Let N be a sufficiently large even *** p denote a prime and P2 denote an almost prime with at most two prime *** this paper,it is proved that the equation N = p + P2(p ≤ N0.945) is solvable.

关键词： Chen's Theorem Sieve method Mean value theorem

Transcription factors promote neural regeneration after spinal cord injury

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Neural Regeneration Research 2022年第11期17卷 2439-2440页

作者： Zachary Finkel li cai Department of Biomedical Engineering Rutgers University

Human spinal cord injury (SCI) results in locomotor and sensory disabilities,which severely affect the quality of *** restore function after SCI,it is necessary to repair and reconstruct the damaged local *** hurdles in neural regeneration include a limited level of neurogenesis in the adult spinal cord and an inflammatory microenvironment that inhibits neurogenesis and axon regeneration.

关键词： neural injury SCI

Convergence analysis of projected gradient descent for Schatten-p nonconvex matrix recovery

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Science China Mathematics 2015年第4期58卷 845-858页

作者： cai Yun li Song Department of Mathematics Zhejiang University

The matrix rank minimization problem arises in many engineering applications. As this problem is NP-hard, a nonconvex relaxation of matrix rank minimization, called the Schatten-p quasi-norm minimization(0 < p < 1), has been developed to approximate the rank function closely. We study the performance of projected gradient descent algorithm for solving the Schatten-p quasi-norm minimization(0 < p < 1) *** on the matrix restricted isometry property(M-RIP), we give the convergence guarantee and error bound for this algorithm and show that the algorithm is robust to noise with an exponential convergence rate.

关键词： low rank matrix recovery nonconvex matrix recovery projected gradient descent restricted isometry property

Thermodynamic analysis on the formation mechanism of MgO·Al_2O_3 spinel type inclusions in casing steel

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International Journal of Minerals,Metallurgy and Materials 2010年第1期17卷 32-38页

作者： hai-yan Tang Jing-she li School of Metallurgical and Ecological Engineering University of Science and Technology Beijing Beijing 100083 China

MgO·Al2O3 spinel type inclusions in casing steel were analyzed by scanning electron microscope （SEM） and energy dispersive spectrometer （EDS）. The results show that there are three forms. One is pure MgO·Al2O3 spinel, another is the composite oxide of the Mg-Al-Ca-Si-O system, and the third is the complex with oxide as a core covered by sulfide. The formation mechanisms were studied. The influences of slag basicity and vacuum degree on the magnesium content during the vacuum treatment of molten steel and furnace lining in molten steel were calculated with the coexistence theory of slag structure. The results show that the magnesium content increases with the increase in slag basicity and aluminum content in molten steel, and decreases with the increase in CO partial pressure.

关键词： magnesium-aluminum spinel basicity theoretical model formation mechanism