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ON RAYLEIGH QUOTIENT MATRICES: THEORY ANDAPPLICATIONS

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Journal of Computational Mathematics 1999年第6期17卷 629-638页

作者： Xin-guo Liu(department of Applied Mathematics ocean university of qingdao, qingdao 266003, china) ocean Univ qingdao Dept Appl Math Ocean Qingdao 266003 Peoples R China

Many authors have studied the Rayleigh quotient and Rayleigh quotient matrix. This paper consists of two parts. First, generalizations of some results on the Rayleigh quotient are proved. Second, we give some applicat... 详细信息

关键词： Rayleigh quotient matrix eigenvalue approximation

Bubble size distribution in surface wave breaking entraining process

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Science china Earth Sciences 2007年第11期50卷 1754-1760页

作者： HAN Lei1,2 & YUAN YeLi2 1 department of ocean Environment, ocean university of china, qingdao 266003, china 2 The First Institute of oceanography, State ocean Administration, qingdao 266061, china 1. department of ocean Environment Ocean University of China Qingdao 266003 China 2. The First Institute of oceanography State Ocean Administration Qingdao 266061 China

From the similarity theorem, an expression of bubble population is derived as a function of the air en-trainment rate, the turbulent kinetic energy (TKE) spectrum density and the surface tension. The bubble size spectrum that we obtain has a dependence of a?2.5+nd on the bubble radius, in which nd is positive and dependent on the form of TKE spectrum within the viscous dissipation range. To relate the bubble population with wave parameters, an expression about the air entrainment rate is deduced by intro-ducing two statistical relations to wave breaking. The bubble population vertical distribution is also derived, based on two assumptions from two typical observation results.

关键词： wave breaking,bubble cloud,bubble size spectrum

The advancement of oscillation theory of functional differential equations

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Chinese Science Bulletin 1998年第12期43卷 974-982页

作者： ZHANG Binggen department of Applied Mathematics, ocean university of qingdao, qingdao 266003, china department of Applied Mathematics Ocean University of Qingdao Qingdao China

The oscillation theory of functional differential equations (FDEs) is surveyed including (ⅰ) formulation of oscillation problems; (ⅱ) a brief history of the oscillation theory of FDEs; (ⅲ) main topics in the oscill... 详细信息

关键词： functional differential equations oscillation theory.

7th CIIE likely to prove solid growth platform for many companies

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china Textile 2024年第4期 20-21页

作者： china Daily

The robust demand of the Chinese market and the improving business environment in the country make china a big growth opportunity for companies wishing to further expand their operations,said corporates that have registered to participate at this year's china International Import *** 7th edition of the annual CIIE,to be held in Shanghai from Nov 5 to 10,started its 100-day countdown on Saturday.

关键词： companies likely operations

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Ribosomal Protein Genes S23 and L35 from Amphioxus Branchiostoma belcheri tsingtauense:Identification and Copy Number

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Acta Biochimica et Biophysica Sinica 2005年第8期37卷 573-579页

作者： Xian LI Shi-Cui ZHANG~* Zhen-Hui LIU Hong-Yan LI department of Marine Biology,ocean university of china,qingdao 266003,china department of Marine Biology Ocean University of China Qingdao 266003 China

The complete cDNA and deduced amino acid sequences of the ribosomal proteins S23(AmphiS23)and L35(AmphiL35)from amphioxus Branchiostoma belcheri tsingtauense were identified inthis ***23 cDNA is 546 bp long and encodes a protein of 143 amino *** has a predictedmolecular mass of 15,851 Da and a pI of ***35 cDNA comprises 473 bp,and codes for a proteinof 123 amino acids with a predicted molecular mass of 14,543 Da and a pI of ***23 shares morethan 83% identity with its homologues in the vertebrates and more than 84% identity with those in ***35 is more than 63% identical to its counterparts in the vertebrates and more than52% identical to those in the *** blot analysis demonstrated the existence of 1-2 copiesof the S23 gene and 2-3 copies of the L35 gene in the genome of amphioxus *** *** in sharp contrast to the presence of 6-13 copies of the S23 gene and 15-17 copies of the L35 gene in therat *** is clear that the housekeeping genes like S23 and L35 underwent a large-scale duplication inthe vertebrate lineage,reinforcing the gene/genome duplication hypothesis.

关键词： amphioxus ribosomal protein S23 L35 copy number

The Statistical Distribution of the Horizontal Velocities of Water Particles at Wave Surface Maxima

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china ocean Engineering 1998年第3期13卷 359-364页

作者： GUAN Changlong Professor, Institute of Physical oceanography, ocean university of qingdao, qingdao 266003, china. Institute of Physical oceanography Ocean University of Qingdao Qingdao 266003 China

On the basis of the linear model of random sea waves presented by Longuet-Higgins, the statistical distribution of the horizontal velocities of water particles at wave surface maxima is derived theoretically. The derived distribution is similar to that of wave surface maxima, and a new spectral width epsilon(u), which is defined as (1 - m(3)(2)/m(2)m(4))(1/2), is introduced in the distribution. When epsilon(u) tends to zero, the distribution is reduced to Rayleigh distribution and it is reduced to the normal distribution when epsilon(u) tends to unity. For a narrow spectrum, it is proved that epsilon is equal to 1/2 epsilon, where epsilon is (1 - m(2)(2)/m(0)m(4))(1/2) and is the commonly used spectral width.

关键词： sea wave wave surface maxima horizontal velocity statistical distribution

The fractal characteristic change in the Huanghe River Estuary due to the hydrodynamic conditions’variation

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Acta oceanologica Sinica 2003年第2期22卷 191-200页

作者： Jia Yonggang, Fu Yuanbin, Xu Guohui, Shan Hongxian, Cao Xueqing Environmental Engineering department, ocean university of china, qingdao 266003,china ocean Univ china Dept Environm Engn Qingdao 266003 Peoples R China

The study area lies in the subaqueous delta, which came into being in 1964 - 1976. Oneoil-field road has been built for exploring petroleum to form a wave barrier. The hydrodynarnic conditions on the north side of the road are relatively violent, on the contrary the hydrodynarnic conditions on the south side of the road are nearly placid. This makes the study area a natural laboratory for studying the influence of the hydrodynarnic conditions on the fractal characteristics of the tidal flat. Selecting an area is named Case Ⅰ on the side of stronger hydrodynarnic activities and an area is named Case Ⅱ on the other side. Measuring the topography and sampling and analyzing the granulometrical composition, it is found that the hydrodynarnic conditions have fatal influence on the surface fractal dimensions and the granulometrical fractal dimensions of the area. In Case Ⅰ , which has strong hydrodynarnic conditions, the surface fractal dimensions are obviously larger than those of Case Ⅱ , and the granulometrical fractal dimensions are relatively smaller than those of Case Ⅱ , the surface fractal dimensions of Case Ⅰ decrease quickly with the increase of grid size; the granulometrical fractal dimensions are disperse, while the hydrodynarnic conditions of Case Ⅱ are just reverse. A sampling line and a core sampling on each side of the road are selected. It is found that on the south side of the road the granulometrical fractal dimensions vary regularly in the line and with the depth, the farther apart from the road, the smaller the fractal dimensions, and the deeper the sampling position the larger the fractal dimensions, while granulometrical fractal dimensions on the north side of the road have no such regularity pattern. The mechanism of the influence of the hydrodynarnic conditions on the fractal characteristics is discussed.

关键词： Tidal-flat hydrodynamic conditions surface fractal dimensions granulometrical fractal dimensions Huanghe River Estuary

A model study on carbon cycle and phytoplankton dynamical processes in the Bohai Sea

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Acta oceanologica Sinica 2003年第1期22卷 47-56页

作者： WeiHao ZhaoLiang FengShizuo InstituteofPhysicaloceanography OceanUniversityofChina(OceanUniversityofQingdao)Qingdao266003China PhysicaloceanographyKeyLabofStateEducationMinistry OceanUniversityofChina(OceanUnivrsityofQingdao)Qingdao266003China

The carbon cycle of lower trophic level in the Bohai Sea is studied with a three-dimensional biological and physical coupled model. The influences of the processes (including horizontal advection, river nutrient load, active transport etc. ) on the phytoplankton biomass and its evolution are estimated. The Bohai Sea is a weak sink of the CO2 in the atmosphere. During the cycle, 13.7% of the gross production of the phytoplankton enter the higher trophic level and 76.8 % of it are consumed by the respiration itself. The nutrient reproduction comes mainly from the internal biogeochemical loop and the rem-ineralization is an important mechanism of the nutrient transfer from organic form to inorganic. Horizontal advection decreases the total biomass and the eutrophication in some sea areas. Change in the nutrient load of a river can only adjust the local system near its estuary. Controlling the input of the nutrient, which limits the alga growth, can be very useful in lessening the phytoplankton biomass.

关键词： Carbon cycle phytoplankton dynamics the Bohai Sea

Colloidal organic carbon in Huanghe, Changjiang and Qiantang River

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Chinese Science Bulletin 1998年第11期43卷 915-917页

作者： WANG Jiangtao College of Chemistry and Chemical Engineering, ocean university of qingdao, qingdao 266003, china Callege of Chemistry and Chemical Engineering Ocean University of Qingdao Qingdao China

Cross-flow ultrafiltration techniques have been used to separate colloidal organic carbon (COC) from natural water, and COC in three water samples that were collected from Huanghe, Changjiang and Qiantang River was determined. On average, COC comprised about 68.6% of the total dissolved organic carbon. The abundance of COC suggested that COC could play important roles in input fluxes and biogeochemistry of organic carbon.

关键词： cross-flow ultrafiltration colloidal organic carbon.