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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) 青岛海洋大学应用数学系山东青岛 266003

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 department of ocean Environment Ocean University of China Qingdao China The First Institute of oceanography State Ocean Administration Qingdao 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 Environmental Engineering department Ocean University of China Qingdao 266003 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

Comparative studies on utilizing nitrogen capacity between two macroalgae Gracilaria tenuistipitata var. liui (rhodophyta) and Ulva pertusa (chlorophyta) I. Nitrogen storage under nitrogen enrichment and starvation

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Journal of Environmental Sciences 2001年第3期13卷 318-322页

作者： LIU Jing Wen, DONG Shuang Lin (Aquaculture Research Laboratory, ocean university of qingdao, qingdao 266003, china. Aquaculture Research Laboratory Ocean University of Qingdao Qingdao 266003 Chin

This paper deals with the N storage of Gracilaria tenuistipitata var. liui and Ulva pertusa under ammonium enrichment and starvation. After 10 days of ammonium enrichment, ammonium NH4,+ free amino acid (FAA), protein (pro), chlorophyll (Chi), phycoerythrin (PE) and total dissolved nitrogen (TDN) of the two macroalgae increased significantly. Total nitrogen (TN) increased significantly from 3.65% to 5.78% dry weight of G. tenuistipitata var. liui and 2.82% to 5.07% dw of U. pertusa, respectively. Protein and FAA were the most important N storage pools in the macroalgae. During N-starvation period, individual N pools of the two species were depleted at exponential rates. Each N pool in U. pertusa decreased more rapidly than in G. tenuistipitata, var. liui and the latter was able to sustain fast growth for more time ( > 20 days) than U. pertusa. N demands for supporting growth were different between the two species, U. pertusa grew more rapidly and had higher N demands than G. tenuistipitata var. liui did.

关键词： nitrogen pools storage macroalgae

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