A class of nonlocal boundary value probl em s for elliptic systems in the unbounded domains are considered. Under suitable c onditions, the existence of solution and the comparison theorem for the boundary value prob...A class of nonlocal boundary value probl em s for elliptic systems in the unbounded domains are considered. Under suitable c onditions, the existence of solution and the comparison theorem for the boundary value problems are studied.展开更多
Lead(Pb)isotopes have been extensively employed in tracing sources of Pb and its transport pathways through the environment.However,Pb isotopic ratios in related geochemical reference materials are scarce.Here,we repo...Lead(Pb)isotopes have been extensively employed in tracing sources of Pb and its transport pathways through the environment.However,Pb isotopic ratios in related geochemical reference materials are scarce.Here,we report high-precision Pb isotopic ratios measured by Nu Plasma II MC-ICP-MS using calibrated ^(205)Tl/^(203)Tl=2.38865(NIST SRM 997)for mass discrimination correction.The long-term external precision(2SD)for NISTSRM 981 of Pb,BCR-2,and BHVO-2 are 0.31‰(n=105),0.42‰(n=11),and 0.25‰(n=5)for ^(208)Pb/ ^(206)Pb and 0.16‰,0.53‰,and 0.07‰for ^(206)Pb/ ^(207)Pb,both respectively,and their Pb isotopic ratios are in excellent agreement with the recommended values.Using this method,we report for the first time Pb isotopic compositions in shale SGR-1b(USGS);coal CLB-1(USGS);stream sediments GSD-17,-21,and-23(IGGE);soils GSS-12,-13,-14,-15,and-16(IGGE);plants GSV-1,-2,and-3(IGGE);and human hair GSH-1(IGGE).展开更多
The trophic ecology of the small yellow croaker (Larimichthys polyactis) was studied using stable isotope analyses. Samples were collected from July to September 2009 and 34 individuals from eight sites were examine...The trophic ecology of the small yellow croaker (Larimichthys polyactis) was studied using stable isotope analyses. Samples were collected from July to September 2009 and 34 individuals from eight sites were examined for stable carbon and nitrogen isotopes. Stable carbon isotope ratios (~3C) ranged from -20.67 to -15.43, while stable nitrogen isotope ratios (~SN) ranged 9.18-12.23. The relationship between fi^3C and ~SN suggested high resource partitioning in the sampling area. Significant differences in stable isotope values among the eight sampling sites may be linked to environmental diversities involving various physical processes (such as ocean current, wind and tide) and different carbon sources. Furthermore, the stable isotope ratios may also explain the ontogenetic variability in diet and feeding, because δ13C and δ15N varied significantly with increasing body size. The findings are consistent with other studies on diet analyses in small yellow croaker. It was also demonstrated that stable isotope analysis could be used to estimate the trophic characters of small yellow croaker in feeding patterns and migrating habits.展开更多
A synthetic activated carbon was manufactured from date-palm stones using zinc chloride, cadmium chloride and sodium chloride at different temperatures and atmospheres. Specific surface area, RC and pH were measured a...A synthetic activated carbon was manufactured from date-palm stones using zinc chloride, cadmium chloride and sodium chloride at different temperatures and atmospheres. Specific surface area, RC and pH were measured and the activated carbon was used to absorb the orange II dye. Adsorption equilibrium was also studied, and it was found that the adsorption process on the synthetic activated carbon fit very well with the Langmuir isotherm model and less fit with Freundlich isotherm model. The specific surface area was highly affected by increasing temperature of combustion while the atmosphere of combustion had a little effects on surface area. The results showed that the atmosphere and temperature had no such effect on RC values. However, the RC of zinc chloride samples gave the highest values compared to that of cadmium chloride or sodium chlorides. The values of pH indicated an acid medium for cadmium chloride to alkali medium for sodium chloride, while the samples of zinc chloride showed a neutral medium.展开更多
Dynamic cone penetrometer is mainly used as an in situ device and laboratory application, in a mould, has rarely been reported due to the confining effect. In this study, a dynamic lightweight cone penetrometer that c...Dynamic cone penetrometer is mainly used as an in situ device and laboratory application, in a mould, has rarely been reported due to the confining effect. In this study, a dynamic lightweight cone penetrometer that can be used in a CBR (California bearing ratio) mould in the laboratory as well as in the field, with similar results, was developed. The results show that the influence of the mould confinement can be eliminated when the hammer mass is 2.25 kg. A strong correlation was found between CBR values and the new dynamic lightweight penetrometer index, for six fine-grained soil samples, with different moisture contents, used in this study.展开更多
This paper presents the application of bifurcation method on the steady state three-phase load-flow Jacobian method to study the voltage stability of unbalanced distribution systems. The eigenvalue analysis is used to...This paper presents the application of bifurcation method on the steady state three-phase load-flow Jacobian method to study the voltage stability of unbalanced distribution systems. The eigenvalue analysis is used to study distribution system behavior under different operating conditions. Two-bus connected by asymmetrical line is used as the study system. The effects of both unbalance and extreme loading conditions are investigated. Also, the impact of distributed energy resources is studied. Different case studies and loading scenarios are presented to trace the eigenvalues of the Jacobian matrix. The results exhibit the existence of a new bifurcation point which may not be related to the voltage stability.展开更多
This paper establishes a new Laplacian comparison theorem which is specially useful tothe mathelds of nonpositive curvature. It leads naturally to the corresponding heat kernelcomparison and eigenvalue comparison theo...This paper establishes a new Laplacian comparison theorem which is specially useful tothe mathelds of nonpositive curvature. It leads naturally to the corresponding heat kernelcomparison and eigenvalue comparison theorems. Furthermore, a lower estimate of L2-spectrumof an n-dimensional non-compact complete Cartan-Hadamard manifold is given by (n-1)k/4,provided its mRicci curvature -(n -1)k (k= const. 0).展开更多
Cheng-type inequality, Cheeger-type inequality and Faber-Krahn-type inequality are generalized to Finsler manifolds. For a compact Finsler manifold with the weighted Ricci curvature bounded from below by a negative co...Cheng-type inequality, Cheeger-type inequality and Faber-Krahn-type inequality are generalized to Finsler manifolds. For a compact Finsler manifold with the weighted Ricci curvature bounded from below by a negative constant, Li-Yau's estimation of the first eigenvalue is also given.展开更多
The commercial recovery of methane from coal is well established in the coalbed methane(CBM) blocks at the east margin of Ordos Basin, China. CBM forms with various carbon isotopic ratios(δ13CPDB) due to the carbon i...The commercial recovery of methane from coal is well established in the coalbed methane(CBM) blocks at the east margin of Ordos Basin, China. CBM forms with various carbon isotopic ratios(δ13CPDB) due to the carbon isotopic fractionation in biogenical or thermogenical processes. Based on the geologic evolution of coalbed reservoir and studies on the characteristics of δ13 CPDB values distributed spatially(e.g., horizontal CBM well location area, vertical coal burial zone, coal rank, etc.) and temporally(e.g., geologic evolution history), we explored the formation mechanism of carbon isotopic of methane. The relatively low δ13 CPDB values are widely distributed along the research area, indicating a trend of "lighter-heavier-lighter" from north to south. From a combination analysis of the relationship between δ13 CPDB and the relative effects, the essential aspects in determining CBM carbon isotope being light in the study area are: the genesis of secondary biogas in the north; water soluble effects in the active hydrodynamic areas in the middle; desorption fractionation effect promoted by tectonic evolution in the south; and the sudden warming hydrocarbon fractionation accelerated by magmatic event in particular areas(e.g., Linxian).展开更多
We are concerned with the maximization of tr(V T AV)/tr(V T BV)+tr(V T CV) over the Stiefel manifold {V ∈ R m×l | V T V = Il} (l 〈 m), where B is a given symmetric and positive definite matrix, A and...We are concerned with the maximization of tr(V T AV)/tr(V T BV)+tr(V T CV) over the Stiefel manifold {V ∈ R m×l | V T V = Il} (l 〈 m), where B is a given symmetric and positive definite matrix, A and C are symmetric matrices, and tr(. ) is the trace of a square matrix. This is a subspace version of the maximization problem studied in Zhang (2013), which arises from real-world applications in, for example, the downlink of a multi-user MIMO system and the sparse Fisher discriminant analysis in pattern recognition. We establish necessary conditions for both the local and global maximizers and connect the problem with a nonlinear extreme eigenvalue problem. The necessary condition for the global maximizers offers deep insights into the problem, on the one hand, and, on the other hand, naturally leads to a self-consistent-field (SCF) iteration to be presented and analyzed in detail in Part II of this paper.展开更多
In this paper,quasi-almost-Einstein metrics on complete manifolds are studied.Two examples are given and several formulas are established.With the help of these formulas,the author proves rigid results on compact or n...In this paper,quasi-almost-Einstein metrics on complete manifolds are studied.Two examples are given and several formulas are established.With the help of these formulas,the author proves rigid results on compact or noncompact manifolds,in which some basic tools,such as the weighted volume comparison theorem and the weak maximum principle at infinity,are used.A lower bound estimate for the scalar curvature is also obtained.展开更多
In this paper, we work on compact quasi-Einstein metrics and prove several gap results. In the first part, we get a gap estimate for the first nonzero eigenvalue of the weighted Laplacian, by establishing a comparison...In this paper, we work on compact quasi-Einstein metrics and prove several gap results. In the first part, we get a gap estimate for the first nonzero eigenvalue of the weighted Laplacian, by establishing a comparison theorem for the weighted heat kernel. In the second part, we establish two gap results for the Ricci curvature and the scalar curvature, based on which some rigid properties can be derived.展开更多
The Lopingian is one of the fastest rising periods of seawater strontium isotopic ratios (^87Sr/^86Sr) in earth history, and its mechanisms and increasing rates of the ^87Sr/^86Sr evolution were still disputed widel...The Lopingian is one of the fastest rising periods of seawater strontium isotopic ratios (^87Sr/^86Sr) in earth history, and its mechanisms and increasing rates of the ^87Sr/^86Sr evolution were still disputed widely. These disputations among researchers were caused mainly by timeframe selection (sections' thickness or data of radiometric ages), and different stratigraphic boundaries and un-upmost dated ages. This paper examined published ^87Sr/^86Sr data of the Lopingian, and projected them on timescales based on evolutionary and age constrained conodonts fossils. ^87Sr/^86Sr evolution vs fossil constraining timescales was re-established in this period. This research suggests: (1) ^87Sr/^86Sr excursion projects on fossil zones can truly support ^87Sr/^86Sr evolutionary pattern in the period; (2) ^87Sr/^86Sr evolution provides a new approach for stratigraphic research of marine carbonate sections in lieu of biostratigraphic data; (3) ^87Sr/^86Sr stratigraphy works on marine carbonate sections of different sedimentation rates even between different basins; (4) the ^875r/^86Sr data and its shift was dependent on samples materials and chemical treatment methods; (5) the increasing rate of marine water ^875r/^86Sr in the Late Permian is suggested as 5.4× 10^-5/Ma or slightly lower; (6) sedimentation age and its ^875r/^86Sr of the Lopingian marine carbonate suggested as: Dpro=259-(Rs- 0.70695)/5.4×10^-5 (Ma).展开更多
文摘A class of nonlocal boundary value probl em s for elliptic systems in the unbounded domains are considered. Under suitable c onditions, the existence of solution and the comparison theorem for the boundary value problems are studied.
基金supported by National Key Basic Research Program of China(2014CB238903)the National Natural Science Foundation of China(Nos.41473028,41673017,U1612441)the Opening Fund of State Key Laboratory of Environmental Geochemistry(SKLEG2015201)
文摘Lead(Pb)isotopes have been extensively employed in tracing sources of Pb and its transport pathways through the environment.However,Pb isotopic ratios in related geochemical reference materials are scarce.Here,we report high-precision Pb isotopic ratios measured by Nu Plasma II MC-ICP-MS using calibrated ^(205)Tl/^(203)Tl=2.38865(NIST SRM 997)for mass discrimination correction.The long-term external precision(2SD)for NISTSRM 981 of Pb,BCR-2,and BHVO-2 are 0.31‰(n=105),0.42‰(n=11),and 0.25‰(n=5)for ^(208)Pb/ ^(206)Pb and 0.16‰,0.53‰,and 0.07‰for ^(206)Pb/ ^(207)Pb,both respectively,and their Pb isotopic ratios are in excellent agreement with the recommended values.Using this method,we report for the first time Pb isotopic compositions in shale SGR-1b(USGS);coal CLB-1(USGS);stream sediments GSD-17,-21,and-23(IGGE);soils GSS-12,-13,-14,-15,and-16(IGGE);plants GSV-1,-2,and-3(IGGE);and human hair GSH-1(IGGE).
基金Supported by the Special Research Fund for the National Non-profit in East China Sea Fisheries Research Institute (No. 2009M01)
文摘The trophic ecology of the small yellow croaker (Larimichthys polyactis) was studied using stable isotope analyses. Samples were collected from July to September 2009 and 34 individuals from eight sites were examined for stable carbon and nitrogen isotopes. Stable carbon isotope ratios (~3C) ranged from -20.67 to -15.43, while stable nitrogen isotope ratios (~SN) ranged 9.18-12.23. The relationship between fi^3C and ~SN suggested high resource partitioning in the sampling area. Significant differences in stable isotope values among the eight sampling sites may be linked to environmental diversities involving various physical processes (such as ocean current, wind and tide) and different carbon sources. Furthermore, the stable isotope ratios may also explain the ontogenetic variability in diet and feeding, because δ13C and δ15N varied significantly with increasing body size. The findings are consistent with other studies on diet analyses in small yellow croaker. It was also demonstrated that stable isotope analysis could be used to estimate the trophic characters of small yellow croaker in feeding patterns and migrating habits.
文摘A synthetic activated carbon was manufactured from date-palm stones using zinc chloride, cadmium chloride and sodium chloride at different temperatures and atmospheres. Specific surface area, RC and pH were measured and the activated carbon was used to absorb the orange II dye. Adsorption equilibrium was also studied, and it was found that the adsorption process on the synthetic activated carbon fit very well with the Langmuir isotherm model and less fit with Freundlich isotherm model. The specific surface area was highly affected by increasing temperature of combustion while the atmosphere of combustion had a little effects on surface area. The results showed that the atmosphere and temperature had no such effect on RC values. However, the RC of zinc chloride samples gave the highest values compared to that of cadmium chloride or sodium chlorides. The values of pH indicated an acid medium for cadmium chloride to alkali medium for sodium chloride, while the samples of zinc chloride showed a neutral medium.
文摘Dynamic cone penetrometer is mainly used as an in situ device and laboratory application, in a mould, has rarely been reported due to the confining effect. In this study, a dynamic lightweight cone penetrometer that can be used in a CBR (California bearing ratio) mould in the laboratory as well as in the field, with similar results, was developed. The results show that the influence of the mould confinement can be eliminated when the hammer mass is 2.25 kg. A strong correlation was found between CBR values and the new dynamic lightweight penetrometer index, for six fine-grained soil samples, with different moisture contents, used in this study.
文摘This paper presents the application of bifurcation method on the steady state three-phase load-flow Jacobian method to study the voltage stability of unbalanced distribution systems. The eigenvalue analysis is used to study distribution system behavior under different operating conditions. Two-bus connected by asymmetrical line is used as the study system. The effects of both unbalance and extreme loading conditions are investigated. Also, the impact of distributed energy resources is studied. Different case studies and loading scenarios are presented to trace the eigenvalues of the Jacobian matrix. The results exhibit the existence of a new bifurcation point which may not be related to the voltage stability.
文摘This paper establishes a new Laplacian comparison theorem which is specially useful tothe mathelds of nonpositive curvature. It leads naturally to the corresponding heat kernelcomparison and eigenvalue comparison theorems. Furthermore, a lower estimate of L2-spectrumof an n-dimensional non-compact complete Cartan-Hadamard manifold is given by (n-1)k/4,provided its mRicci curvature -(n -1)k (k= const. 0).
基金supported by the National Natural Science Foundation of China(Nos.11471246,11171253)the Natural Science Foundation of the Anhui Higher Education Institutions(No.KJ2014A257)
文摘Cheng-type inequality, Cheeger-type inequality and Faber-Krahn-type inequality are generalized to Finsler manifolds. For a compact Finsler manifold with the weighted Ricci curvature bounded from below by a negative constant, Li-Yau's estimation of the first eigenvalue is also given.
基金supported by the Major National Science and Technology Special Projects (Grant No. 2011ZX05062-01)the National Natural Science Foundation of China (Grant No. 41272175)+1 种基金the Special Fund for Scientific Research on Public Causes from Ministry of Land and Resources of the People’s Republic of China’s (Grant No. 201311015-01)the Fundamental Research Funds for the Central Universities (Grant No. 2652013057)
文摘The commercial recovery of methane from coal is well established in the coalbed methane(CBM) blocks at the east margin of Ordos Basin, China. CBM forms with various carbon isotopic ratios(δ13CPDB) due to the carbon isotopic fractionation in biogenical or thermogenical processes. Based on the geologic evolution of coalbed reservoir and studies on the characteristics of δ13 CPDB values distributed spatially(e.g., horizontal CBM well location area, vertical coal burial zone, coal rank, etc.) and temporally(e.g., geologic evolution history), we explored the formation mechanism of carbon isotopic of methane. The relatively low δ13 CPDB values are widely distributed along the research area, indicating a trend of "lighter-heavier-lighter" from north to south. From a combination analysis of the relationship between δ13 CPDB and the relative effects, the essential aspects in determining CBM carbon isotope being light in the study area are: the genesis of secondary biogas in the north; water soluble effects in the active hydrodynamic areas in the middle; desorption fractionation effect promoted by tectonic evolution in the south; and the sudden warming hydrocarbon fractionation accelerated by magmatic event in particular areas(e.g., Linxian).
基金supported by National Natural Science Foundation of China(Grant Nos.11101257 and 11371102)the Basic Academic Discipline Program+3 种基金the 11th Five Year Plan of 211 Project for Shanghai University of Finance and Economicsa visiting scholar at the Department of Mathematics,University of Texas at Arlington from February 2013 toJanuary 2014supported by National Science Foundation of USA(Grant Nos.1115834and 1317330)a Research Gift Grant from Intel Corporation
文摘We are concerned with the maximization of tr(V T AV)/tr(V T BV)+tr(V T CV) over the Stiefel manifold {V ∈ R m×l | V T V = Il} (l 〈 m), where B is a given symmetric and positive definite matrix, A and C are symmetric matrices, and tr(. ) is the trace of a square matrix. This is a subspace version of the maximization problem studied in Zhang (2013), which arises from real-world applications in, for example, the downlink of a multi-user MIMO system and the sparse Fisher discriminant analysis in pattern recognition. We establish necessary conditions for both the local and global maximizers and connect the problem with a nonlinear extreme eigenvalue problem. The necessary condition for the global maximizers offers deep insights into the problem, on the one hand, and, on the other hand, naturally leads to a self-consistent-field (SCF) iteration to be presented and analyzed in detail in Part II of this paper.
基金Project supported by the National Natural Science Foundation of China(Nos.10971066,11171254)
文摘In this paper,quasi-almost-Einstein metrics on complete manifolds are studied.Two examples are given and several formulas are established.With the help of these formulas,the author proves rigid results on compact or noncompact manifolds,in which some basic tools,such as the weighted volume comparison theorem and the weak maximum principle at infinity,are used.A lower bound estimate for the scalar curvature is also obtained.
基金supported by Natural Science Foundation of Jiangsu Province (Grant No. BK20141235)
文摘In this paper, we work on compact quasi-Einstein metrics and prove several gap results. In the first part, we get a gap estimate for the first nonzero eigenvalue of the weighted Laplacian, by establishing a comparison theorem for the weighted heat kernel. In the second part, we establish two gap results for the Ricci curvature and the scalar curvature, based on which some rigid properties can be derived.
基金This research was supported by National Basic Research Program of China (Grant No. 2011CB808905), National Natural Science Foundation of China (Grant Nos. 41227801, 41273004, and 412003028), Knowledge Innovation Program of the Chinese Academy of Sciences (Grant No. KZCW2-YW-Q08-4) and Instrument Developing Project of the Chinese Academy of Sciences (Grant No. YZ201433). We thank anonymous reviewers for their generous helps to improve the manuscript, and also appreciate members of experimental paleontology research group for their stimulating discussions and constructive suggestions.
文摘The Lopingian is one of the fastest rising periods of seawater strontium isotopic ratios (^87Sr/^86Sr) in earth history, and its mechanisms and increasing rates of the ^87Sr/^86Sr evolution were still disputed widely. These disputations among researchers were caused mainly by timeframe selection (sections' thickness or data of radiometric ages), and different stratigraphic boundaries and un-upmost dated ages. This paper examined published ^87Sr/^86Sr data of the Lopingian, and projected them on timescales based on evolutionary and age constrained conodonts fossils. ^87Sr/^86Sr evolution vs fossil constraining timescales was re-established in this period. This research suggests: (1) ^87Sr/^86Sr excursion projects on fossil zones can truly support ^87Sr/^86Sr evolutionary pattern in the period; (2) ^87Sr/^86Sr evolution provides a new approach for stratigraphic research of marine carbonate sections in lieu of biostratigraphic data; (3) ^87Sr/^86Sr stratigraphy works on marine carbonate sections of different sedimentation rates even between different basins; (4) the ^875r/^86Sr data and its shift was dependent on samples materials and chemical treatment methods; (5) the increasing rate of marine water ^875r/^86Sr in the Late Permian is suggested as 5.4× 10^-5/Ma or slightly lower; (6) sedimentation age and its ^875r/^86Sr of the Lopingian marine carbonate suggested as: Dpro=259-(Rs- 0.70695)/5.4×10^-5 (Ma).