Network coding has been considered as one of the effective strategies that improve the throughput of multi- hop wireless networks. In order to effectively apply network coding techniques to the real multi-hop wireless...Network coding has been considered as one of the effective strategies that improve the throughput of multi- hop wireless networks. In order to effectively apply network coding techniques to the real multi-hop wireless networks, a practical network coding aware routing protocol is proposed in this paper, for unicast sessions in multi- hop wireless networks. The protocol is based on a novel routing metric design that captures the characteristics of network coding and unicast sessions. To ensure the novel routing mettle can operate with practical and widely available path calculation algorithms, a unique mapping process is used to map a real wireless network to a virtual network. The mapping process ensures that the paths with the biggest coding opportunities will be selected by commonly used path calculation algorithms. Simulation results show that the proposed routing protocol is effective to improve the network throughput.展开更多
English and Chinese both belong to satellite-flamed languages in lexicalizing motion events. However, they are not entirely identical in Path encoding. Path comprises Vector, Conformation, and Deictic. Vector comprise...English and Chinese both belong to satellite-flamed languages in lexicalizing motion events. However, they are not entirely identical in Path encoding. Path comprises Vector, Conformation, and Deictic. Vector comprises Arrival, Departure and Traversal. English and Chinese use different forms (prepositions vs. verbs) to represent Traversal. The Arrival component in Chinese can denote "realized arrival" while that in English cannot. English is not fine-grained as Chinese in the specification of Conformation. The use of Deictic in Chinese is more pervasive than that in English. Satellite elements in English are realized as particles and prepositions while those in Chinese are realized as directional verbs.展开更多
In order to analyze the complex chemical kinetic mechanism systematically and find out the redundant species and reactions, a numerical platform for mechanism analysis and simplification is established basing on Path ...In order to analyze the complex chemical kinetic mechanism systematically and find out the redundant species and reactions, a numerical platform for mechanism analysis and simplification is established basing on Path Flux Analysis (PFA). It is used to reduce a detailed mechanism for flame inhibited by phosphorus containing compounds, a reduced mechanism with 65 species and 335 reactions is obtained. The detailed and reduced mechanism are both used to calculate the freely-propagating premix C3H8/air flame with different dimethyl methylphosphonate doped over a wide range of equivalence ratios. The concentration distributions of free radicals and major species are compared, and the results under two different mechanisms agree well. The laminar flame speed obtained by the two mechanisms also matches well, with the maximum relative error introduces as a small value of 1.7%. On the basis of the reduced mechanism validation, the correlativity analysis is conducted between flame speed and flee radical concentrations, which can provide information for target species selection in the further mechanism reduction. By analyzing the species and reactions fluxes, the species and reaction paths which contribute the flame inhibition significantly are determined.展开更多
Let X^H = {X^H(8),8∈ R^N1} and XK = {X^K(t),t ∈R^2} be two independent anisotropic Gaussian random fields with values in R^d with indices H = (H1,... ,HN1) ∈ (0, 1)^N1, K = (K1,..., KN2)∈ (0, 1)^N2, r...Let X^H = {X^H(8),8∈ R^N1} and XK = {X^K(t),t ∈R^2} be two independent anisotropic Gaussian random fields with values in R^d with indices H = (H1,... ,HN1) ∈ (0, 1)^N1, K = (K1,..., KN2)∈ (0, 1)^N2, respectively. Existence of intersections of the sample paths of XH and XK is studied. More generally, let E1 R^N1, E2 R^N2 and F R^d be Borel sets. A necessary condition and a sufficient condition for P{(X^H(E1) ∩ X^K(E2)) ∩ F ≠ Ф} 〉 0 in terms of the Bessel-Riesz type capacity and Hausdorff measure of E1 x E2 x F in the metric space (R^N1+N2+d, ρ) are proved, whereρ is a metric defined in terms of H and K. These results are applicable to solutions of stochastic heat equations driven by space-time Gaussian noise and fractional Brownian sheets.展开更多
The authors extend the notion of statistical structure from Riemannian geometry to the general framework of path spaces endowed with a nonlinear connection and a generalized metric.Two particular cases of statistical ...The authors extend the notion of statistical structure from Riemannian geometry to the general framework of path spaces endowed with a nonlinear connection and a generalized metric.Two particular cases of statistical data are defined.The existence and uniqueness of a nonlinear connection corresponding to these classes is proved.Two Koszul tensors are introduced in accordance with the Riemannian approach.As applications,the authors treat the Finslerian (α,β)-metrics and the Beil metrics used in relativity and field theories while the support Riemannian metric is the Fisher-Rao metric of a statistical model.展开更多
Metal sulfides are promising candidates for supercapacitors,but their slow reaction kinetics hinders their electrochemical performance.Large electrochemical surface area and combination with conductive carbon are pote...Metal sulfides are promising candidates for supercapacitors,but their slow reaction kinetics hinders their electrochemical performance.Large electrochemical surface area and combination with conductive carbon are potential methods to improve their capacitive performance.However,seeking for a generalized and simple approach to prepare two-dimensional composites of metal sulfide and conductive carbon for supercapacitors is challengeable.Herein,a generalized and facile one-step pyrolysis method was designed for in situ growth of cobalt nickel sulfides(CoNi2S4)on reduced graphene oxide(rGO)nanosheets(CoNi2S4/rGO)under mild conditions.The as-prepared CoNi2S4/rGO materials possess the nanoparticles-on-nanosheets structure,which is effective to provide a myriad of active sites and optimized electron/ion diffusion pathway.Benefiting from those advantages,the resultant CoNi2S4/rGO electrodes exhibit impressed specific capacitances of 1526 and 988 F g^−1 at 2 and 20 A g^−1,respectively.The supercapacitors based on CoNi2S4/rGO showcase an operation potential window of 1.6 V,and energy density of 54.8 W h kg^−1 at the power density of 798 W kg^−1.The capacitance retention of the supercapacitor is about 93.7%after 8000 cycles at 3 A g^−1.Moreover,a series of metal sulfide/rGO hybrids are obtained by this generalized strategy,which could be extended to construct electrode materials for various energy devices.展开更多
Two-dimensional(2D)Dion-Jacobson(D-J)-type cesium lead iodide CsPbI_(3) perform remarkably in terms of stability.However,the complex interactions between spacer and inorganic layers limit its excellent progress in per...Two-dimensional(2D)Dion-Jacobson(D-J)-type cesium lead iodide CsPbI_(3) perform remarkably in terms of stability.However,the complex interactions between spacer and inorganic layers limit its excellent progress in perovskite solar cells(PSCs).Herein,starting from the considerable structural diversity of organic spacers,we engineer 2D CsPbI_(3) with fine-tuning functionalities.Specifically,for the first time we embedded fluorinated aromatic cations in 2D D-J CsPbI_(3),and successfully applied it into construction of high-performance PSCs.Compared with constitutive 1,4-diaminobenzene(PDA),the fluorinated 2-fluorobenzene-1,4-diamine(F-PDA)component greatly expands the dipole moment from 0.59 D to 3.47 D,which reduces the exciton binding energy of the system.A theoretical study shows that the spacer layer and inorganic plane are more enriched with charge accumulation in(F-PDA)Csn±1 Pb_(n)I_(3n+1).The results show that(F-PDA)Csn±1Pb_(n)I_(3n+1) demonstrates more significant charge transfer between organic and inorganic layers than(PDA)Csn±1 Pb_(n)I_(3n+1),and it is confirmed in the femtosecond transient absorption experiment.Moreover,the interactions of the fluorinated spacer with the[PbI_(6)]_(4)-plane effectively manipulate the crystallization quality,and thus the ion migration and defect formation of target 2D CsPbI_(3) are inhibited.As a result,we obtained a record power conversion efficiency(PCE)beyond 15%for 2D D-J(F-PDA)Cs_(3)Pb_(4)I_(13)(n=4)PSCs with significantly improved environmental stability compared with the three-dimensional(3D)counterparts.展开更多
In this paper,we study a long-range percolation model on the lattice Z d with multi-type vertices and directed edges.Each vertex x ∈ Z d is independently assigned a non-negative weight Wx and a type ψx,where(Wx) x∈...In this paper,we study a long-range percolation model on the lattice Z d with multi-type vertices and directed edges.Each vertex x ∈ Z d is independently assigned a non-negative weight Wx and a type ψx,where(Wx) x∈Z d are i.i.d.random variables,and(ψx) x∈Z d are also i.i.d.Conditionally on weights and types,and given λ,α > 0,the edges are independent and the probability that there is a directed edge from x to y is given by pxy = 1 exp(λφψ x ψ y WxWy /| x-y | α),where φij 's are entries from a type matrix Φ.We show that,when the tail of the distribution of Wx is regularly varying with exponent τ-1,the tails of the out/in-degree distributions are both regularly varying with exponent γ = α(τ-1) /d.We formulate conditions under which there exist critical values λ WCC c ∈(0,∞) and λ SCC c ∈(0,∞) such that an infinite weak component and an infinite strong component emerge,respectively,when λ exceeds them.A phase transition is established for the shortest path lengths of directed and undirected edges in the infinite component at the point γ = 2,where the out/in-degrees switch from having finite to infinite variances.The random graph model studied here features some structures of multi-type vertices and directed edges which appear naturally in many real-world networks,such as the SNS networks and computer communication networks.展开更多
基金Supported by the National Natural Science Foundation of China (No. 60903156), and the National Science and Technology Major Project of the Ministry of Science and Technology of China (No. 2010ZX03004-001-02).
文摘Network coding has been considered as one of the effective strategies that improve the throughput of multi- hop wireless networks. In order to effectively apply network coding techniques to the real multi-hop wireless networks, a practical network coding aware routing protocol is proposed in this paper, for unicast sessions in multi- hop wireless networks. The protocol is based on a novel routing metric design that captures the characteristics of network coding and unicast sessions. To ensure the novel routing mettle can operate with practical and widely available path calculation algorithms, a unique mapping process is used to map a real wireless network to a virtual network. The mapping process ensures that the paths with the biggest coding opportunities will be selected by commonly used path calculation algorithms. Simulation results show that the proposed routing protocol is effective to improve the network throughput.
文摘English and Chinese both belong to satellite-flamed languages in lexicalizing motion events. However, they are not entirely identical in Path encoding. Path comprises Vector, Conformation, and Deictic. Vector comprises Arrival, Departure and Traversal. English and Chinese use different forms (prepositions vs. verbs) to represent Traversal. The Arrival component in Chinese can denote "realized arrival" while that in English cannot. English is not fine-grained as Chinese in the specification of Conformation. The use of Deictic in Chinese is more pervasive than that in English. Satellite elements in English are realized as particles and prepositions while those in Chinese are realized as directional verbs.
基金Supported by the National Natural Science Foundation of China (51176181), the National Basic Research Program of China (2012CB719704), and the Research Fund for the Doctoral Program of Higher Education (20123402110047).
文摘In order to analyze the complex chemical kinetic mechanism systematically and find out the redundant species and reactions, a numerical platform for mechanism analysis and simplification is established basing on Path Flux Analysis (PFA). It is used to reduce a detailed mechanism for flame inhibited by phosphorus containing compounds, a reduced mechanism with 65 species and 335 reactions is obtained. The detailed and reduced mechanism are both used to calculate the freely-propagating premix C3H8/air flame with different dimethyl methylphosphonate doped over a wide range of equivalence ratios. The concentration distributions of free radicals and major species are compared, and the results under two different mechanisms agree well. The laminar flame speed obtained by the two mechanisms also matches well, with the maximum relative error introduces as a small value of 1.7%. On the basis of the reduced mechanism validation, the correlativity analysis is conducted between flame speed and flee radical concentrations, which can provide information for target species selection in the further mechanism reduction. By analyzing the species and reactions fluxes, the species and reaction paths which contribute the flame inhibition significantly are determined.
基金supported by Zhejiang Provincial Natural Science Foundation of China(Grant No. Y6100663)National Science Foundation of US (Grant No. DMS-1006903)
文摘Let X^H = {X^H(8),8∈ R^N1} and XK = {X^K(t),t ∈R^2} be two independent anisotropic Gaussian random fields with values in R^d with indices H = (H1,... ,HN1) ∈ (0, 1)^N1, K = (K1,..., KN2)∈ (0, 1)^N2, respectively. Existence of intersections of the sample paths of XH and XK is studied. More generally, let E1 R^N1, E2 R^N2 and F R^d be Borel sets. A necessary condition and a sufficient condition for P{(X^H(E1) ∩ X^K(E2)) ∩ F ≠ Ф} 〉 0 in terms of the Bessel-Riesz type capacity and Hausdorff measure of E1 x E2 x F in the metric space (R^N1+N2+d, ρ) are proved, whereρ is a metric defined in terms of H and K. These results are applicable to solutions of stochastic heat equations driven by space-time Gaussian noise and fractional Brownian sheets.
基金Project supported by the Romanian National Authority for Scientific Research,CNCS UEFISCDI(No.PN-II-ID-PCE-2012-4-0131)
文摘The authors extend the notion of statistical structure from Riemannian geometry to the general framework of path spaces endowed with a nonlinear connection and a generalized metric.Two particular cases of statistical data are defined.The existence and uniqueness of a nonlinear connection corresponding to these classes is proved.Two Koszul tensors are introduced in accordance with the Riemannian approach.As applications,the authors treat the Finslerian (α,β)-metrics and the Beil metrics used in relativity and field theories while the support Riemannian metric is the Fisher-Rao metric of a statistical model.
基金This work was financially supported by the National Natural Science Foundation of China(21704038 and 51763018)the National Natural Science Foundation of China(NSFC)-German Research Foundation(DFG)Joint Research Project(51761135114)+2 种基金the Natural Science Foundation of Jiangxi Province(20192BCB23001,2018ACB21021 and 20171ACB21009)China Postdoctoral Science Foundation(2018M632599)the National Postdoctoral Program for Innovative Talents(BX201700112).
文摘Metal sulfides are promising candidates for supercapacitors,but their slow reaction kinetics hinders their electrochemical performance.Large electrochemical surface area and combination with conductive carbon are potential methods to improve their capacitive performance.However,seeking for a generalized and simple approach to prepare two-dimensional composites of metal sulfide and conductive carbon for supercapacitors is challengeable.Herein,a generalized and facile one-step pyrolysis method was designed for in situ growth of cobalt nickel sulfides(CoNi2S4)on reduced graphene oxide(rGO)nanosheets(CoNi2S4/rGO)under mild conditions.The as-prepared CoNi2S4/rGO materials possess the nanoparticles-on-nanosheets structure,which is effective to provide a myriad of active sites and optimized electron/ion diffusion pathway.Benefiting from those advantages,the resultant CoNi2S4/rGO electrodes exhibit impressed specific capacitances of 1526 and 988 F g^−1 at 2 and 20 A g^−1,respectively.The supercapacitors based on CoNi2S4/rGO showcase an operation potential window of 1.6 V,and energy density of 54.8 W h kg^−1 at the power density of 798 W kg^−1.The capacitance retention of the supercapacitor is about 93.7%after 8000 cycles at 3 A g^−1.Moreover,a series of metal sulfide/rGO hybrids are obtained by this generalized strategy,which could be extended to construct electrode materials for various energy devices.
基金supported by the National Natural Science Foundation of China(52073131,51902148,and 12047501)the Fundamental Research Funds for the Central Universities(lzujbky-2021-it31,lzujbky-2021-59,lzujbky-2021-ct15,lzujbky2021-ct01,and lzujbky-2021-sp69)supported by Supercomputing Center of Lanzhou University。
文摘Two-dimensional(2D)Dion-Jacobson(D-J)-type cesium lead iodide CsPbI_(3) perform remarkably in terms of stability.However,the complex interactions between spacer and inorganic layers limit its excellent progress in perovskite solar cells(PSCs).Herein,starting from the considerable structural diversity of organic spacers,we engineer 2D CsPbI_(3) with fine-tuning functionalities.Specifically,for the first time we embedded fluorinated aromatic cations in 2D D-J CsPbI_(3),and successfully applied it into construction of high-performance PSCs.Compared with constitutive 1,4-diaminobenzene(PDA),the fluorinated 2-fluorobenzene-1,4-diamine(F-PDA)component greatly expands the dipole moment from 0.59 D to 3.47 D,which reduces the exciton binding energy of the system.A theoretical study shows that the spacer layer and inorganic plane are more enriched with charge accumulation in(F-PDA)Csn±1 Pb_(n)I_(3n+1).The results show that(F-PDA)Csn±1Pb_(n)I_(3n+1) demonstrates more significant charge transfer between organic and inorganic layers than(PDA)Csn±1 Pb_(n)I_(3n+1),and it is confirmed in the femtosecond transient absorption experiment.Moreover,the interactions of the fluorinated spacer with the[PbI_(6)]_(4)-plane effectively manipulate the crystallization quality,and thus the ion migration and defect formation of target 2D CsPbI_(3) are inhibited.As a result,we obtained a record power conversion efficiency(PCE)beyond 15%for 2D D-J(F-PDA)Cs_(3)Pb_(4)I_(13)(n=4)PSCs with significantly improved environmental stability compared with the three-dimensional(3D)counterparts.
文摘In this paper,we study a long-range percolation model on the lattice Z d with multi-type vertices and directed edges.Each vertex x ∈ Z d is independently assigned a non-negative weight Wx and a type ψx,where(Wx) x∈Z d are i.i.d.random variables,and(ψx) x∈Z d are also i.i.d.Conditionally on weights and types,and given λ,α > 0,the edges are independent and the probability that there is a directed edge from x to y is given by pxy = 1 exp(λφψ x ψ y WxWy /| x-y | α),where φij 's are entries from a type matrix Φ.We show that,when the tail of the distribution of Wx is regularly varying with exponent τ-1,the tails of the out/in-degree distributions are both regularly varying with exponent γ = α(τ-1) /d.We formulate conditions under which there exist critical values λ WCC c ∈(0,∞) and λ SCC c ∈(0,∞) such that an infinite weak component and an infinite strong component emerge,respectively,when λ exceeds them.A phase transition is established for the shortest path lengths of directed and undirected edges in the infinite component at the point γ = 2,where the out/in-degrees switch from having finite to infinite variances.The random graph model studied here features some structures of multi-type vertices and directed edges which appear naturally in many real-world networks,such as the SNS networks and computer communication networks.