Polysurfacic tori or kideas are three-dimensional objects formed by rotating a regular polygon around a central axis. These toric shapes are referred to as “polysurfacic” because their characteristics, such as the n...Polysurfacic tori or kideas are three-dimensional objects formed by rotating a regular polygon around a central axis. These toric shapes are referred to as “polysurfacic” because their characteristics, such as the number of sides or surfaces separated by edges, can vary in a non-trivial manner depending on the degree of twisting during the revolution. We use the term “Kideas” to specifically denote these polysurfacic tori, and we represent the number of sides (referred to as “facets”) of the original polygon followed by a point, while the number of facets from which the torus is twisted during its revolution is indicated. We then explore the use of concave regular polygons to generate Kideas. We finally give acceleration for the algorithm for calculating the set of prime numbers.展开更多
OBJECTIVE: To use a Meta-analysis to review the efficacy and safety of Gualoupi(Pericarpium Trichosanthis) injection(PTI) in the treatment of angina pectoris.METHODS: We searched the available literature up to January...OBJECTIVE: To use a Meta-analysis to review the efficacy and safety of Gualoupi(Pericarpium Trichosanthis) injection(PTI) in the treatment of angina pectoris.METHODS: We searched the available literature up to January 2015 using Chinese National Knowledge Infrastructure(CNKI), Chinese Scientific Journal Database(VIP), the Wanfang database, Pub Med and other English language databases to identify randomized controlled trials of PTI for the treatment of angina pectoris. Two reviewers independently retrieved and extracted the information. Software Review Manager 5.3 was used for statistics analysis.RESULTS: Fourteen studies involving 1621 patients were identified. Compared with conventional therapy alone or conventional therapy plus other Traditional Chinese Injections(TCMIs), PTI plus conventional therapy significantly improved clinical efficacy [odds ratio(OR) = 3.56, 95% confidence interval(CI)(2.65, 4.77)](based on 14 studies), electrocardiograph efficacy [OR = 3.20, 95% CI(2.26, 4.51)](based on 7 studies), and efficacy for Traditional Chinese Medicine Syndromes [OR = 3.13, 95% CI(1.43, 6.89)](based on 3 studies). Moreover, compared with conventional therapy alone or conventional therapy plus other TCMIs, PTI plus conventional therapy significantly decreased the levels of plasma viscosity [mean difference(MD) =- 0.47,95% CI(-0.76,-0.17)](based on 3 studies), and plasma low-density lipoprotein [MD =-0.94, 95%CI(-1.57,-0.30)](based on 3 studies). Eleven studies reported some mild adverse reactions, and no seriousadversedrugreactionswereobserved.CONCLUSION: PTI was found to be effective and safe for the treatment of angina pectoris. This study had certain limitations; thus, more rigorously designed, multi-center, randomized controlled trials in larger populations should be performed to support this observation.展开更多
In this paper we prove the persistence of hyperbolic invariant tori in generalized Hamiltonian systems, which may admit a distinct number of action and angle variables. The systems under consideration can be odd dimen...In this paper we prove the persistence of hyperbolic invariant tori in generalized Hamiltonian systems, which may admit a distinct number of action and angle variables. The systems under consideration can be odd dimensional in tangent direction. Our results generalize the well-known results of Graft and Zehnder in standard Hamiltonians. In our case the unperturbed Hamiltonian systems may be degenerate. We also consider the persistence problem of hyperbolic tori on submanifolds.展开更多
A persistence theorem for resonant invariant tori with non-Hamiltonian perturbation is proved. The method is a combination of the theory of normally hyperbolic invariant manifolds and an appropriate continuation metho...A persistence theorem for resonant invariant tori with non-Hamiltonian perturbation is proved. The method is a combination of the theory of normally hyperbolic invariant manifolds and an appropriate continuation method. The results obtained are extensions of Chicone’s for the three dimensional non-Hamiltonian systems.展开更多
In this paper, we study the persistence of lower dimensional tori for random Hamiltonian systems, which shows that majority of the unperturbed tori persist as Cantor fragments of lower dimensional ones under small per...In this paper, we study the persistence of lower dimensional tori for random Hamiltonian systems, which shows that majority of the unperturbed tori persist as Cantor fragments of lower dimensional ones under small perturbation. Using this result, we can describe the stability of the non-autonomous dynamic systems.展开更多
Air Washer are employed in large air-conditioning sys-tems for dust removal and for evaporative cooling withappropriate design which can result in energy saving.Topredict the heat and mass transfer in water spray-air-...Air Washer are employed in large air-conditioning sys-tems for dust removal and for evaporative cooling withappropriate design which can result in energy saving.Topredict the heat and mass transfer in water spray-air-flow system,a two-dimensional numerical model simu-lating the conservation of mass,momentum and energyof air and water are developed.Further,drop trajecto-ries in the case of horizontal parallel flow in air washerhave been simulated.The results of the simulations areused to investigate the effect of the initial droplet size,the spray angle and the airflow velocity on the drop ve-locity field and drop trajectories.展开更多
In this paper we investigate the nearly small twist mappings with intersection property. With a certain non-degenerate condition, we proved that the most of invariant tori of the original small twist mappings will sur...In this paper we investigate the nearly small twist mappings with intersection property. With a certain non-degenerate condition, we proved that the most of invariant tori of the original small twist mappings will survive afer small perturtations. The persisted invariant tori are close to the unperturbed ones when the perturbation are small. The orbits reduced by those mappings are quasi-periodic in the invariant tori with the frequences closing to the original ones.展开更多
Nanoengineered carbon bonded refractories as well as fine grained carbon free refractories with improved thermal shock performance are presented in terms of this contribution.
It is proved that there are many(positive Lebesgue measure)KolmogorovArnold-Moser(KAM for short)tori at infinity and thus all solutions are bounded for the fDuuncffitinogn es.quationsx+x^(2n+1)+∑^(2n)_(j=0)pi(t)x^(j)...It is proved that there are many(positive Lebesgue measure)KolmogorovArnold-Moser(KAM for short)tori at infinity and thus all solutions are bounded for the fDuuncffitinogn es.quationsx+x^(2n+1)+∑^(2n)_(j=0)pi(t)x^(j)=0with pj(t)’s being time-quasi-periodic smooth functions.展开更多
牛仔裤加工企业癒to Ri 18公司追求利用传统手工加工与激光等科技的加工开发。去年,公司在总部所在的仓敷市儿岛地区新建了一座工厂,并引进了3台激光加工机。在确保人力资源的同时,加大设备投资,力争扩大业务规模。公司将儿岛地区一栋...牛仔裤加工企业癒to Ri 18公司追求利用传统手工加工与激光等科技的加工开发。去年,公司在总部所在的仓敷市儿岛地区新建了一座工厂,并引进了3台激光加工机。在确保人力资源的同时,加大设备投资,力争扩大业务规模。公司将儿岛地区一栋原有的两层建筑改装为新工厂,投资额约1亿5000万日元。展开更多
The existence of invariant tori and quasi-periodic solutions for asymptotically linear impact oscillators is proved by using the successor map and some generalized versions of the Moser's twist theorem.
The boundedness of all the solutions for semilinear Duffing equationx″ + ω2 x + φ(x) =p(t), ω ∈ ?+? is proved, wherep (t) is a smooth 2π-periodic function and the perturbation ?(x) is bounded.
MOTIVATED by various significant applications to non-Newtonian fluid theory, diffusion offlows in porous media, nonlinear elasticity, and theory of capillary surfaces, several authors(see refs.[1,2] and references cit...MOTIVATED by various significant applications to non-Newtonian fluid theory, diffusion offlows in porous media, nonlinear elasticity, and theory of capillary surfaces, several authors(see refs.[1,2] and references cited therein ) have recently studied the existence of periodicsolutions and other properties for the following differential equation:展开更多
Our purpose is to study the minimal tori in the hyperquadric Q2. Firstly, we obtain a necessary and sufficient condition for the minimal surface in Qn which is also minimal in CPn＋1. Next, we show that this kind of m...Our purpose is to study the minimal tori in the hyperquadric Q2. Firstly, we obtain a necessary and sufficient condition for the minimal surface in Qn which is also minimal in CPn＋1. Next, we show that this kind of minimal surface （neither holomorphic nor anti-holomorphic） with constant curvature in Q2 is part of a flat totally real torus. Finally, we prove that totally real minimal fiat tori in Q2 must be totally geodesic, and we classify all the totally geodesic closed surfaces in Q2.展开更多
In this paper, we study the persistence of invariant tori of integrable Hamiltonian systems satisfying Rssmann's non-degeneracy condition when symplectic integrators are applied to them. Meanwhile, we give an esti...In this paper, we study the persistence of invariant tori of integrable Hamiltonian systems satisfying Rssmann's non-degeneracy condition when symplectic integrators are applied to them. Meanwhile, we give an estimate of the measure of the set occupied by the invariant tori in the phase space. On an invariant torus,numerical solutions are quasi-periodic with a diophantine frequency vector of time step size dependence. These results generalize Shang's previous ones(1999, 2000), where the non-degeneracy condition is assumed in the sense of Kolmogorov.展开更多
We give a nonlinear symplectic coordinator transformation, which can move the normal frequencies of the lower dimensional torus up to (k,w) where ω is the frequency vector of the torus. That means the normal frequenc...We give a nonlinear symplectic coordinator transformation, which can move the normal frequencies of the lower dimensional torus up to (k,w) where ω is the frequency vector of the torus. That means the normal frequencies with a difference (k,w) may be regarded as the same. As an application, we derive a persistence result on lower dimensional tori of nearly integrable Hamiltonian systems when the second Melnikov’s condition is partially violated.展开更多
文摘Polysurfacic tori or kideas are three-dimensional objects formed by rotating a regular polygon around a central axis. These toric shapes are referred to as “polysurfacic” because their characteristics, such as the number of sides or surfaces separated by edges, can vary in a non-trivial manner depending on the degree of twisting during the revolution. We use the term “Kideas” to specifically denote these polysurfacic tori, and we represent the number of sides (referred to as “facets”) of the original polygon followed by a point, while the number of facets from which the torus is twisted during its revolution is indicated. We then explore the use of concave regular polygons to generate Kideas. We finally give acceleration for the algorithm for calculating the set of prime numbers.
基金the National Natural Science Foundation of China(the Mechanism of the Effect of Yiqihuoxue Fang on the Vulnerability of Atherosclerotic Plaque by the Way of "DAMPs-PRRs-macrophage",No.81173399)
文摘OBJECTIVE: To use a Meta-analysis to review the efficacy and safety of Gualoupi(Pericarpium Trichosanthis) injection(PTI) in the treatment of angina pectoris.METHODS: We searched the available literature up to January 2015 using Chinese National Knowledge Infrastructure(CNKI), Chinese Scientific Journal Database(VIP), the Wanfang database, Pub Med and other English language databases to identify randomized controlled trials of PTI for the treatment of angina pectoris. Two reviewers independently retrieved and extracted the information. Software Review Manager 5.3 was used for statistics analysis.RESULTS: Fourteen studies involving 1621 patients were identified. Compared with conventional therapy alone or conventional therapy plus other Traditional Chinese Injections(TCMIs), PTI plus conventional therapy significantly improved clinical efficacy [odds ratio(OR) = 3.56, 95% confidence interval(CI)(2.65, 4.77)](based on 14 studies), electrocardiograph efficacy [OR = 3.20, 95% CI(2.26, 4.51)](based on 7 studies), and efficacy for Traditional Chinese Medicine Syndromes [OR = 3.13, 95% CI(1.43, 6.89)](based on 3 studies). Moreover, compared with conventional therapy alone or conventional therapy plus other TCMIs, PTI plus conventional therapy significantly decreased the levels of plasma viscosity [mean difference(MD) =- 0.47,95% CI(-0.76,-0.17)](based on 3 studies), and plasma low-density lipoprotein [MD =-0.94, 95%CI(-1.57,-0.30)](based on 3 studies). Eleven studies reported some mild adverse reactions, and no seriousadversedrugreactionswereobserved.CONCLUSION: PTI was found to be effective and safe for the treatment of angina pectoris. This study had certain limitations; thus, more rigorously designed, multi-center, randomized controlled trials in larger populations should be performed to support this observation.
文摘In this paper we prove the persistence of hyperbolic invariant tori in generalized Hamiltonian systems, which may admit a distinct number of action and angle variables. The systems under consideration can be odd dimensional in tangent direction. Our results generalize the well-known results of Graft and Zehnder in standard Hamiltonians. In our case the unperturbed Hamiltonian systems may be degenerate. We also consider the persistence problem of hyperbolic tori on submanifolds.
文摘A persistence theorem for resonant invariant tori with non-Hamiltonian perturbation is proved. The method is a combination of the theory of normally hyperbolic invariant manifolds and an appropriate continuation method. The results obtained are extensions of Chicone’s for the three dimensional non-Hamiltonian systems.
基金Partially supported by the SFC(10531050,10225107)of Chinathe SRFDP(20040183030)the 985 program of Jilin University
文摘In this paper, we study the persistence of lower dimensional tori for random Hamiltonian systems, which shows that majority of the unperturbed tori persist as Cantor fragments of lower dimensional ones under small perturbation. Using this result, we can describe the stability of the non-autonomous dynamic systems.
文摘Air Washer are employed in large air-conditioning sys-tems for dust removal and for evaporative cooling withappropriate design which can result in energy saving.Topredict the heat and mass transfer in water spray-air-flow system,a two-dimensional numerical model simu-lating the conservation of mass,momentum and energyof air and water are developed.Further,drop trajecto-ries in the case of horizontal parallel flow in air washerhave been simulated.The results of the simulations areused to investigate the effect of the initial droplet size,the spray angle and the airflow velocity on the drop ve-locity field and drop trajectories.
文摘In this paper we investigate the nearly small twist mappings with intersection property. With a certain non-degenerate condition, we proved that the most of invariant tori of the original small twist mappings will survive afer small perturtations. The persisted invariant tori are close to the unperturbed ones when the perturbation are small. The orbits reduced by those mappings are quasi-periodic in the invariant tori with the frequences closing to the original ones.
文摘Nanoengineered carbon bonded refractories as well as fine grained carbon free refractories with improved thermal shock performance are presented in terms of this contribution.
基金supported by the National Natural Science Foundation of China(Nos.12071254,12371189)。
文摘It is proved that there are many(positive Lebesgue measure)KolmogorovArnold-Moser(KAM for short)tori at infinity and thus all solutions are bounded for the fDuuncffitinogn es.quationsx+x^(2n+1)+∑^(2n)_(j=0)pi(t)x^(j)=0with pj(t)’s being time-quasi-periodic smooth functions.
文摘The existence of invariant tori and quasi-periodic solutions for asymptotically linear impact oscillators is proved by using the successor map and some generalized versions of the Moser's twist theorem.
基金Project supported by the National Natural Science Foundation of China (Grant No. 19731003).
文摘The boundedness of all the solutions for semilinear Duffing equationx″ + ω2 x + φ(x) =p(t), ω ∈ ?+? is proved, wherep (t) is a smooth 2π-periodic function and the perturbation ?(x) is bounded.
文摘MOTIVATED by various significant applications to non-Newtonian fluid theory, diffusion offlows in porous media, nonlinear elasticity, and theory of capillary surfaces, several authors(see refs.[1,2] and references cited therein ) have recently studied the existence of periodicsolutions and other properties for the following differential equation:
基金supported by National Natural Science Foundation of China(Grant Nos.11071248 and 11226079)Program of Natural Science Research of Jiangsu Higher Education Institutions of China(Grant No.12KJD110004)
文摘Our purpose is to study the minimal tori in the hyperquadric Q2. Firstly, we obtain a necessary and sufficient condition for the minimal surface in Qn which is also minimal in CPn＋1. Next, we show that this kind of minimal surface （neither holomorphic nor anti-holomorphic） with constant curvature in Q2 is part of a flat totally real torus. Finally, we prove that totally real minimal fiat tori in Q2 must be totally geodesic, and we classify all the totally geodesic closed surfaces in Q2.
基金supported by National Natural Science Foundation of China(Grant No.11671392)
文摘In this paper, we study the persistence of invariant tori of integrable Hamiltonian systems satisfying Rssmann's non-degeneracy condition when symplectic integrators are applied to them. Meanwhile, we give an estimate of the measure of the set occupied by the invariant tori in the phase space. On an invariant torus,numerical solutions are quasi-periodic with a diophantine frequency vector of time step size dependence. These results generalize Shang's previous ones(1999, 2000), where the non-degeneracy condition is assumed in the sense of Kolmogorov.
基金The work was supported by the National Natural Science Foundation of China (Grant Nos. 19925107 and 19701007 ) the Special Funds for Major State Basic Research Projects(973 Projects).
文摘We give a nonlinear symplectic coordinator transformation, which can move the normal frequencies of the lower dimensional torus up to (k,w) where ω is the frequency vector of the torus. That means the normal frequencies with a difference (k,w) may be regarded as the same. As an application, we derive a persistence result on lower dimensional tori of nearly integrable Hamiltonian systems when the second Melnikov’s condition is partially violated.
