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| 1 | Weighted weak type estimates for commutators of the Marcinkiewicz integrals显示文摘In this paper the authors give the weighted weak LlogL type estimates for a class of the higher order commutator generated by the Marcinkiewicz integral and a BMO function. In addition, the weak type norm inequalities for the Marcinkiewicz integral and its commutators with different weight functions are also discussed. | DING Yong, LU Shanzhen & ZHANG PuDepartment of Mathematics, Beijing Normal University, Beijing 100875, China Department of Information and Computing Science, Zhejiang Institute of Science and Technology, Hangzhou 310033, China | 2004 | Science China Mathematics2004，47，1： | 25 |
| 2 | Role of soil rhizobacteria in phytoremediation of heavy metal contaminated soils显示文摘Heavy metal pollution of soil is a significant environmental problem and has its negative impact on human health and agriculture. Rhizosphere, as an important interface of soil and plant, plays a significant role in phytoremediation of contaminated soil by heavy metals, in which, microbial populations are known to affect heavy metal mobility and availability to the plant through release of chelating agents, acidification, phosphate solubilization and redox changes, and therefore, have potential to enhance phytoremediation processes. Phytoremediation strategies with appropriate heavy metal-adapted rhizobacteria have re-ceived more and more attention. This article paper reviews some recent advances in effect and significance of rhizobacteria in phytoremediation of heavy metal contaminated soils. There is also a need to improve our understanding of the mechanisms in-volved in the transfer and mobilization of heavy metals by rhizobacteria and to conduct research on the selection of microbial isolates from rhizosphere of plants growing on heavy metal contaminated soils for specific restoration programmes. | JING Yan-de1,2, HE Zhen-li1,3, YANG Xiao-e1 (1Ministry of Education Key Lab of Environment, Remediation and Ecosystem Health, School of Natural Resource and Environment Science, Zhejiang University, Hangzhou 310029, China) (2Department of Resources and Planning, Qufu Normal University, Jining 273165, China) (3University of Florida Institute of Food and Agricultural Sciences, Indian River Research and Education Center, Fort Pierce, Florida 34945, USA) | 2007 | Journal of Zhejiang University-Science B(Biomedicine & Biotechnology)2007，8，3： | 18 |
| 3 | Arginine bi-directional translocation and breakdown into ornithine along the arbuscular mycorrhizal mycelium显示文摘Bi-directional translocation and degradation of Arginine (Arg) along the arbuscular mycorrhizal (AM) fungal mycelium were testified through 15N and/or 13C isotopic labeling. In vitro mycorrhizas of Glomus intraradices and Ri T-DNA-transformed carrot roots were grown in dual compartment Petri dishes. [15N- and/or13C]Arg was supplied to either the fungal compartment or the mycorrhizal compartment or separate dishes containing the uncolonized roots. The levels and labeling of free amino acids (AAs) in the mycorrhizal roots and in the extraradical mycelia(ERM) were measured by gas chromatogra- phy/mass spectrometry (GC-MS) and high-performance liquid chromatography (HPLC). The ERM of AM fungi exposed in either NH4+ or urea as sole external nitrogen source had much higher 15N enrichment of Arg, compared with those in nitrate or exogenous Arg; however, glycerol supplied as an external car- bon source to the ERM had no significant effect on the level of Arg in the ERM. Meanwhile, Arg bio- synthesized in the ERM could be translocated intact to the mycorrhizal roots and thereby the level of Arg in the mycorrhizal roots increased to about 20% after culture of ERM in 4 mmol/L NH4+ for 6 weeks. Also Arg was found to be bi-directionally transported along the AM fungal mycelium through [U-13C]Arg labeling either in the mycorrhizal compartment or in the fungal compartment. Once Arg was translo- cated to the potential N-limited sites, it would be further degraded into ornithine (Orn) and urea since either [U-13C] or [U-15N/U-13C]Orn was apparently shown up in the mycorrhizal root tissues when [U-13C] or [U-15N/U-13C]Arg was labeled in the fungal compartment, respectively. Evidently Orn formation indi- cated the ongoing activities of Arg translocation and degradation through the urea cycle in AM fungal mycelium. | JIN HaiRu College of Chemistry and Life Sciences, Zhejiang Normal University, Jinhua 321004, China | 2009 | Science China(Life Sciences)2009，52，4： | 16 |
| 4 | Climate instability in the Yili region, Xinjiang during the last glaciation显示文摘The climate is influenced by westerlies year in year out and the aeolian loess is widespread in the Yili region, the Xinjiang Uygur Autonomous Region. Through the study of the loess section with a thickness of 21.5 m, much useful information about climatic change in this region during the last glaciation was gotten. Grain size analysis of loess samples in the section showed that the climatic change in the Yili region was of instability during the last glaciation and similar to those of the North Atlantic Ocean and Greenland. In correspondence with the Heinrich events, the percentage of the size fraction of loess with grain size less than 10 μm decreased in cold stadials in the Yili region. This result suggests that the westerly wind be strengthened during the cold periods. Compared with the stadials, the content of the loess with grain size less than 10 μm was increased in interstadials, which indicated that the strength of the westerly wind was weakened. It is obvious that the climate was instable | YE Wei, DONG Guangrong, YUAN Yujiang & MA Yingjie1. Xinjiang Institute of Ecology and Geography, Chinese Academy of Sciences, Urumqi 830011, China 2. Department of Geography, Zhejiang Normal University, Jinhua 321004, China 3. Institute of Desert Research, Chinese Academy of Sciences, Lanzhou 730000, China 4. Xinjiang Institute of Meteorological Research, Urumqi 830002, China | 2000 | Chinese Science Bulletin2000，45，17： | 13 |
| 5 | Codimension 3 nonresonant bifurcations of homoclinic orbits with two inclination flips显示文摘Homoclinic bifurcations in four-dimensional vector fields are investigated by setting up a local coordinate near a homoclinic orbit. This homoclinic orbit is principal but its stable and unstable foliations take inclination flip. The existence, nonexistence, and uniqueness of the 1-homoclinic orbit and 1-periodic orbit are studied. The existence of the two-fold 1-periodic orbit and three-fold 1 -periodic orbit are also obtained. It is indicated that the number of periodic orbits bifurcated from this kind of homoclinic orbits depends heavily on the strength of the inclination flip. | SHUI Shuliang & ZHU Deming College of Mathematics and Physics, Zhejiang Normal University, Jinhua 321004, China Department of Mathematics, East China Normal University, Shanghai 200062, China | 2005 | Science China Mathematics2005，48，2： | 10 |
| 6 | A lower bound on the total signed domination numbers of graphs显示文摘Let G be a finite connected simple graph with a vertex set V(G)and an edge set E(G). A total signed domination function of G is a function f:V(G)∪E(G)→{-1,1}.The weight of f is W(f)=∑x∈V(G)∪E(G))f(X).For an element x∈V(G)∪E(G),we define f[x]=∑y∈NT[x]f(y).A total signed domination function of G is a function f:V(G)∪E(G)→{-1,1} such that f[x]≥1 for all x∈V(G)∪E(G).The total signed domination numberγs*(G)of G is the minimum weight of a total signed domination function on G. In this paper,we obtain some lower bounds for the total signed domination number of a graph G and compute the exact values ofγs*(G)when G is Cn and Pn. | Xin-zhong LU Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China | 2007 | Science China Mathematics2007，50，8： | 8 |
| 7 | Dynamical understanding of loop soliton solution for several nonlinear wave equations显示文摘It has been found that some nonlinear wave equations have one-loop soliton solutions. What is the dynamical behavior of the so-called one-loop soliton solution? To answer this question, the travelling wave solutions for four nonlinear wave equations are discussed. Exact explicit parametric representations of some special travelling wave solutions are given. The results of this paper show that a loop solution consists of three different breaking travelling wave solutions. It is not one real loop soliton travelling wave solution. | Ji-bin LI Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China Kunming University of Science and Technology, Kunming 650093, China | 2007 | Science China Mathematics2007，50，6： | 6 |
| 8 | Exact traveling wave solutions and dynamical behavior for the (n+1)-dimensional multiple sine-Gordon equation显示文摘Using the methods of dynamical systems for the (n+ 1)-dimensional multiple sine-Gordon equation, the existences of uncountably infinite many periodic wave solutions and breaking bounded wave solutions axe obtained. For the double sine-Gordon equation, the exact explicit parametric representations of the bounded traveling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are determined. | Ji-bin LI Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China Kunming University of Science and Technology, Kunming 650093, China | 2007 | Science China Mathematics2007，50，2： | 6 |
| 9 | Littlewood-Paley operators with variable kernels显示文摘In this paper we study a certain directional Hilbert transform and the boundedness on some mixed norm spaces. As one of applications, we prove the Lp-boundedness of the Littlewood-Paley operators with variable kernels. Our results are extensions of some known theorems. | CHEN Jiecheng, DING Yong & FAN Dashan Department of Mathematics, Zhejiang University (Xixi Campus), Hangzhou 310028, China School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee WI 53201, USA Department of Mathematics, Central China Normal University, Wuhan 430074, China | 2006 | Science China Mathematics2006，49，5： | 4 |
| 10 | On 3-colorability of planar graphs without adjacent short cycles显示文摘A short cycle means a cycle of length at most 7.In this paper,we prove that planar graphs without adjacent short cycles are 3-colorable.This improves a result of Borodin et al.(2005). | WANG YingQian 1,MAO XiangHua 1,LU HuaJing 2 & WANG WeiFan 1 1 College of Mathematics,Physics and Information Engineering,Zhejiang Normal University,Jinhua 321004,China 2 College of Basic Science,Ningbo Dahongying University,Ningbo 315175,China | 2010 | Science China Mathematics2010，53，4： | 4 |
| 11 | Schwarz-Pick estimates for positive real part holomorphic functions on unit ball and polydisc显示文摘We give higher order derivatives Schwarz-Pick estimates for all positive real part holomorphic functions on Bn and D n,and generalize early work on Schwarz-Pick estimate of higher order derivatives for holomorphic functions with positive real part on unit disk in C. | LIU Yang 1,& CHEN ZhiHua 2 1 Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China 2 Department of Mathematics,Tongji University,Shanghai 200092,China | 2010 | Science China Mathematics2010，53，4： | 3 |
| 12 | The best quadrature based on given Hermite information for the Sobolev class KW^r[a,b]显示文摘As usual, denote by KWr[a,b] the Sobolev class consisting of every function whose (r-1)th derivative is absolutely continuous on the interval [a,b] and rth derivative is bounded by K a.e. In [a,b]. For a function f ∈ KWr[a,b], its values and derivatives up to r-1 order at a set of nodes x are known. These values are said to be the given Hermite information.This work reports the results on the best quadrature based on the given Hermite information for the class KWr[a,b]. Existence and concrete construction issue of the best quadrature are settled down by a perfect spline interpolation. It turns out that the best quadrature depends on a system of algebraic equations satisfied by a set of free nodes of the interpolation perfect spline. From our another new result, it is shown that the system can be converted in a closed form to two single-variable polynomial equations, each being of degree approximately r/2. As a by-product,the best interpolation formula for the class KWr[a,b] is also obtained. | WANG Xinghua & YANG Shijun Department of Mathematics, Zhejiang University, Hangzhou 310028, China Department of Mathematics, Hangzhou Normal College, Hangzhou 310036, China | 2006 | Science China Mathematics2006，49，8： | 3 |
| 13 | Brassinosteroid signal trans-duction: An emerging picture显示文摘Steroid hormones play essential roles in animal growth and development. Steroid signaling in animal system is focused on the direct gene regulation response mediated by its nuclear receptors. Recently, steroid hormones are also found in plants. Identification of BRI1 — a critical compo-nent of the plasma-membrane steroid receptor complex, and the related signal transduction pathway mediated by the membrane receptor have revealed an elementary picture of BR signaling from the cell surface perception to the activa-tion of BR-responsive nuclear genes. | WANG Qiaomei1 & MA Ligeng2 1. Department of Horticultural Science, Zhejiang University, Hangzhou 310029, China 2. Department of Biology, Hebei Normal University, Shijiazhuang 050016, China Correspondence should be addressed to Ma Ligeng (e-mail: ligeng.ma @yale.edu) | 2003 | Chinese Science Bulletin2003，48，18： | 3 |
| 14 | Bifurcations of travelling wave solutions for two generalized Boussinesq systems显示文摘Using the methods of dynamical systems for two generalized Boussinesq systems, the existence of all possible solitary wave solutions and many uncountably infinite periodic wave solutions is obtained. Exact explicit parametric representations of the travelling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are determined. | LI JiBin1,2 1 Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China 2 Department of Mathematics, Kunming University of Science and Technology, Kunming 650093, China | 2008 | Science China Mathematics2008，51，9： | 3 |
| 15 | Gene expression profiling in porcine mammary gland during lactation and identification of breed- and developmental-stage-specific genes显示文摘A total of 28941 ESTs were sequenced from five 5?-directed non-normalized cDNA li-braries, which were assembled into 2212 contigs and 5642 singlets using CAP3. These sequences were annotated and clustered into 6857 unique genes, 2072 of which having no functional annotations were considered as novel genes. These genes were further classified into Gene Ontology categories. By comparing the expression profiles, we identified some breed- and developmental-stage-specific gene groups. These genes may be relative to reproductive performance or play important roles in milk synthesis, secretion and mammary involution. The unknown EST sequences and expression profiles at different developmental stages and breeds are very important resources for further research. | SU Zhixi1, DONG Xinjiao2, ZHANG Bing1, ZENG Yanwu1, FU Yan1, YU Jun1,3 & HU Songnian1,3 1. James D. Watson Institute of Genome Sciences, Zhejiang University, Hangzhou 310008, China 2. School of Life and Environmental Sciences, Wenzhou Normal College, Wenzhou 325027, China 3. Beijing Institute of Genomics, Chinese Academy of Sciences, Beijing 101300, China | 2006 | Science China(Life Sciences)2006，49，1： | 3 |
| 16 | Bloch constant of holomorphic mappings on the unit polydisk of C^n显示文摘In this paper,we give a definition of Bloch mappings defined in the unit polydisk Dn, which generalizes the concept of Bloch functions defined in the unit disk D.It is known that Bloch theorem fails unless we have some restrictive assumption on holomorphic mappings in several complex variables.We shall establish the corresponding distortion theorems for subfamiliesβ(K)andβloc(K) of Bloch mappings defined in the polydisk Dn,which extend the distortion theorems of Liu and Minda to higher dimensions.As an application,we obtain lower and upper bounds of Bloch constants for various subfamilies of Bloeh mappings defined in Dn.In particular,our results reduce to the classical results of Ahlfors and Landau when n=1. | WANG JianFei~(1+) LIU TaiShun~2 1 College of Mathematics and Physics Information Engineering Zhejiang Normal University Jinhua 321004,China 2 Department of Mathematics Huzhou Teachers College Huzhou 313000 China | 2008 | Science China Mathematics2008，51，4： | 3 |
| 17 | Symmetries and exact solutions of discrete nonconservative systems显示文摘Based on the property of the discrete model entirely inheriting the symmetry of the continuous system,we present a method to construct exact solutions with continuous groups of transformations in discrete nonconservative systems.The Noether's identity of the discrete nonconservative system is obtained.The symmetric discrete Lagrangian and symmetric discrete nonconservative forces are defined for the system.Generalized quasi-extremal equations of discrete nonconservative systems are presented.Discrete conserved quantities are derived with symmetries associated with the continuous system.We have also found that the existence of the one-parameter symmetry group provides a reduction to a conserved quantity;but the existence of a two-parameter symmetry group makes it possible to obtain an exact solution for a discrete nonconservative system.Several examples are discussed to illustrate these results. | FU JingLi1,LI XiaoWei2,LI ChaoRong1,ZHAO WeiJia3 & CHEN BenYong4 1 Institute of Mathematical Physics,Zhejiang Sci-Tech University,Hangzhou 310018,China 2 Department of Physics,Shangqiu Normal University,Shangqiu 476000,China 3 Department of Mathematics,Qingdao University,Qingdao 266071,China 4 Faculty of Mechanical Engineering & Automation,Zhejiang Sci-Tech University,Hangzhou 310018,China | 2010 | Science China(Physics,Mechanics & Astronomy)2010，53，9： | 3 |
| 18 | The Beam Propagation Factor M^2 of Fiber Cross-Section Diffraction显示文摘Based on non-paraxial scalar theory, the beam quality factor M2 of LR propagating mode is studied. The result shows M2 factor is greater than 1 and it increase as A increases. | Wang Ke, Guo Fuyuan, Lin BinCNERC for Optical Instrument, State Key Lab of Modern Optical Instrumentation, Department of Optical Engineering, Zhejiang University, P. R. China, Tel: 86-571-87951213, Fax: 86-571-87951214,E-mail: wangke79@sina.com Institute of Laser, Fujian Normal University, P. R. China, Tel. and Fax: 86-591-3465373, E-mail:guofy@zju.edu.cn | 2003 | 光学学报2003，23，S1： | 2 |
| 19 | Effect of lead on survival, locomotion and sperm morphology of Asian earthworm, Pheretima guillelmi显示文摘To provide basic toxicity data for formulating risk characterization benchmarks, the effects of lead on survival, locomotion, and sperm morphology were investigated in the Asian earthworm Pheretima guillelmi. The LC50 of P. guillelmi for 7 and 14 d were 4285±339 mg/kg and 3207±248 mg/kg, which shows P. guillelmi can tolerate a higher concentration of lead nitrate. The average weight of the surviving earthworms decreased at concentration of 2800 mg Pb/kg soil, and the locomotor ability of earthworms exposed to a range of soil Pb concentrations showed a general decrease with increasing Pb concentrations. We also presented data depicting the sperm morphology of earthworms, which shows potential as a sensitive biomarker for measuring the effects of heavy metal on reproduction. | ZHENG Rongquan, LI Canyang College of Chemistry and Life Science, Zhejiang Normal University, Jinhua 321004, China. | 2009 | Journal of Environmental Sciences2009，21，5： | 2 |
| 20 | On solving equations of algebraic sum of equal powers显示文摘It is well known that a system of equations of sum of equal powers can be converted to an algebraic equation of higher degree via Newton's identities. This is the Viete-Newton theorem. This work reports the generalizations of the Viete-Newton theorem to a system of equations of algebraic sum of equal powers. By exploiting some facts from algebra and combinatorics,it is shown that a system of equations of algebraic sum of equal powers can be converted in a closed form to two algebraic equations, whose degree sum equals the number of unknowns of the system of equations of algebraic sum of equal powers. | WANG Xinghua & YANG Shijun Department of Mathematics, Zhejiang University, Hangzhou 310028, China Department of Mathematics, Hangzhou Normal College, Hangzhou 310036, China | 2006 | Science China Mathematics2006，49，9： | 1 |
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