In the present paper the transformation of symmetric Markov processes by symmetric martingale multiplicative functionals is studied and the corresponding Dirichlet form is formulated.
For any real number x,[x]denotes the integer part of x.F_(1),F_(2) denote two multiplicative function classes which are small in numerical sense.In this paper,we study the summation∑_(n≤x)f([x/n])for f∈F_(1).As spe...For any real number x,[x]denotes the integer part of x.F_(1),F_(2) denote two multiplicative function classes which are small in numerical sense.In this paper,we study the summation∑_(n≤x)f([x/n])for f∈F_(1).As specific cases,we take d^((e))(n),β(n),a(n),μ_(2)(n)denoting the number of exponential divisors of n,the number of square-full divisors of n,the number of non-isomorphic Abelian groups of order n,and the characteristic function of the square-free integers,respectively.In the case ofμ_(2)(n),we improved the result of Liu,Wu and Yang.The sums shaped likeΣ_(n≤x)f([x/n]+f([x/n]))for f∈F_(2) are also researched.展开更多
In this paper,we study normal families of meromorphic functions.By using the idea in[16],we obtain some normality criteria for families of meromorphic functions concerning the wandering multiple functions,which extend...In this paper,we study normal families of meromorphic functions.By using the idea in[16],we obtain some normality criteria for families of meromorphic functions concerning the wandering multiple functions,which extend and improve the well-known Montel's criterion,Bloch-Valiron's theorem,and the related results due to Carathéodory,and Grahl-Nevo et al..展开更多
In current memristor-based neuromorphic computing research,several studies face the challenge of realizing only a single function at a time or having isolated functions.This limitation is particularly evident when sim...In current memristor-based neuromorphic computing research,several studies face the challenge of realizing only a single function at a time or having isolated functions.This limitation is particularly evident when simulating biological cognition,as the overall synergy between multiple cognitive functions is difficult to represent.In this work,a high-performance heterojunction memristor is presented at first.The memristor-based neural network and functional circuit are further implemented to realize and integrate multiple cognitive functions.Specifically,the proposed photoelectric memristor has the structure of Ag/ZnO-SnO_(2)/WO_(3-x)/ITO,it exhibits various synaptic behaviors under external modulations,which are characterized by good stability and repeatability.Based on this device,a neural network is built to realize the basic recognition function in biological cognition.The recognition results are translated into different labelled voltage signals and subsequently fed into a memristor-based functional circuit.By leveraging memory characteristics and tunable conductance of the memristor,and controlling the specific circuit functionalities,the input signals are processed to produce different outputs representing various cognitive functions.This methodology allows the realization and integration of recognition,memory,learning,association,relearning,and forgetting into one single system,thereby enabling a more comprehensive and authentic simulation of biological cognition.This work presents a novel memristor and a method for achieving and integrating multiple neuromorphic computing functions within a single system,providing a successful example for achieving complete biological function.展开更多
A multiplicative function f is said to be resembling the Mobius function if f is supported on the square-free integers,and f(p)=±1 for each prime p.We prove O-and Ω-results for the summatory function ∑_(n)≤x f...A multiplicative function f is said to be resembling the Mobius function if f is supported on the square-free integers,and f(p)=±1 for each prime p.We prove O-and Ω-results for the summatory function ∑_(n)≤x f(n)for a class of these f,and the point is that these O-results demonstrate cancellations better than the square-root saving.It is proved in particular that the summatory function is O(x^(1/3+ε))under the Riemann Hypothesis.On the other hand it is proved to be Ω(x^(1/4))unconditionally.It is interesting to compare these with the corresponding results for the Mobius function.展开更多
The authors introduce concepts of even and odd additive functionals and prove that an even martingale continuous additive functional of a symmetric Markov process vanishes identically.A representation for symmetric s...The authors introduce concepts of even and odd additive functionals and prove that an even martingale continuous additive functional of a symmetric Markov process vanishes identically.A representation for symmetric super-martingale multiplicative functionals are also given.展开更多
The present work aims to determine the solution of trigonometric functional equation f with involution from group to field by using the properties of involution function, and the solution and Ulam-Hyers stability of t...The present work aims to determine the solution of trigonometric functional equation f with involution from group to field by using the properties of involution function, and the solution and Ulam-Hyers stability of the trigonometric functional equation are also discussed. Furthermore, this method generalizes the main theorem and gives the supplement in some reference.展开更多
This research focuses on detecting faults in flight vehicles with unstable subsystems operating asynchronously.By accounting for asynchronous switching,a switched model is established,and filters for fault detection(F...This research focuses on detecting faults in flight vehicles with unstable subsystems operating asynchronously.By accounting for asynchronous switching,a switched model is established,and filters for fault detection(FD)in unstable subsystems are developed.The FD challenge is then transformed into an H∞filtering issue.Utilizing the multiple discontinuous Lyapunov function(MDLF)approach and the mode-dependent average dwell time(MDADT)method,sufficient conditions are derived to ensure stability during both fast and slow switching.Furthermore,the existence and solutions for FD filters are provided through linear matrix inequalities(LMIs).The simulation outcomes demonstrated the excellent performance of the developed method in studied cases.展开更多
Sodium-sulfur(Na–S)batteries that utilize earth-abundant materials of Na and S have been one of the hottest topics in battery research.The low cost and high energy density make them promising candidates for next-gene...Sodium-sulfur(Na–S)batteries that utilize earth-abundant materials of Na and S have been one of the hottest topics in battery research.The low cost and high energy density make them promising candidates for next-generation storage technologies as required in the grid and renewable energy.In recent years,extensive efforts have been devoted to the diversity and functionalities of Na–S batteries,aiming to extend their potential applications across multiple temporal and spatial dimensions.Here,we summarize the unconventional designs for the functionalities of Na–S batteries such as flexible batteries,solid-state cells,flame resistance,and operation at extreme temperatures.By highlighting these design strategies that help to realize the functionalities,we hope this review offers a pathway to foster the bright future of Na–S batteries in diverse applications.展开更多
This paper presents a procedure to develop fragility curves of structures equipped with TMD considering multiple failure functions.The failure criteria considered are maximum inter-story drift ratio as a safety criter...This paper presents a procedure to develop fragility curves of structures equipped with TMD considering multiple failure functions.The failure criteria considered are maximum inter-story drift ratio as a safety criterion,maximum absolute acceleration as a convenience criterion and TMD stroke length.The relationship between intensity measure and responses of the structure was assumed to follow the power-law model,and a regression analysis was used to estimate its properties.A nonlinear eight-story shear building subjected to near-fault earthquakes was used for the numerical studies.Fragility curves using multiple and single failure functions for an uncontrolled structure and a structure equipped with optimal TMDs were developed.Numerical analysis showed that using multiple failure functions led to increasing the fragility when compared with using the single failure function for both the uncontrolled and controlled structures.However,TMDs slightly reduced the seismic fragility and have the capability to improve the reliability of the structure.Also,it was found that the fragility was significantly influenced by the values of the capacity thresholds of both the acceleration of the structure and TMD stroke length,which should be selected by considering the target performance and application of the structure and control device.展开更多
In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a （weakly） LU-efficient solution in the considered nonsmooth multiobjective programming problem with the mult...In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a （weakly） LU-efficient solution in the considered nonsmooth multiobjective programming problem with the multiple interval-objective function. Further, the sufficient optimality conditions for a （weakly） LU-efficient solution and several duality results in Mond-Weir sense are proved under assumptions that the functions constituting the considered nondifferentiable multiobjective programming problem with the multiple interval- objective function are convex.展开更多
Aqueous zinc-ion batteries are a kind of attractive power supply devices due to their high energy, environmental benignity, and intrinsic safety. In recent years, tremendous enthusiasm has been devoted to the function...Aqueous zinc-ion batteries are a kind of attractive power supply devices due to their high energy, environmental benignity, and intrinsic safety. In recent years, tremendous enthusiasm has been devoted to the functionalities of aqueous zinc-ion batteries, aiming to extend their potential applications in multiple dimensions and multiple scales. Here, the latest advances in the design, construction, and performance evaluation of aqueous zinc-ion batteries are summarized. The focus is on various functionalities such as flexibility, self-healing, self-charging, and miniaturization. We also highlight the materials and structures that have been engineered to realize these functionalities. Finally, we offer some general insights into the challenges and chances in such exciting field.展开更多
By using the unsymmetrical scale instead of the symmetrical scale,the multiplicative intuitionistic fuzzy sets(MIFSs) reflect our intuition more objectively.Each element in a MIFS is expressed by an ordered pair which...By using the unsymmetrical scale instead of the symmetrical scale,the multiplicative intuitionistic fuzzy sets(MIFSs) reflect our intuition more objectively.Each element in a MIFS is expressed by an ordered pair which is called a multiplicative intuitionistic fuzzy number(MIFN)and is based on the unbalanced scale(i.e.,Saaty’s 1-9 scale).In order to describe the derivatives and differentials for multiplicative intuitionistic fuzzy information more comprehensively,in this paper,we firstly propose two new basic operational laws for MIFNs,which are the subtraction law and the division law.Secondly,we describe the change values of MIFNs when considering them as variables,classify these change values based on the basic operational laws for MIFNs,and depict the convergences of sequences of MIFNs by the subtraction and division laws.Finally,we focus on the multiplicative intuitionistic fuzzy functions and derive some basic results related to their continuities,derivatives and differentials,and also give their application in selecting the configuration of a computer.展开更多
[ Objective] The multiple mean generational function （MMGF） method was applied to forecast the annual number of typhoons （TYs） over the Western North Pacific （WNP）. [Method]The method yields a number of predicto...[ Objective] The multiple mean generational function （MMGF） method was applied to forecast the annual number of typhoons （TYs） over the Western North Pacific （WNP）. [Method]The method yields a number of predictors by mean generational function based on the rolling 50- year data of TYs frequency and sunspot number, and was repeated to generate forecasts year after year by optimal subset regression. [ Result] The results showed a reasonably high predictive ability dudng period 2000 -2010, with an average root mean square （RMSE） value of 1.92 and a mean absolute error （MAE） value of 1.64. [ Conclusion] Although the MMGF method needs further validation in the practical operation, it already has strong potential for the improvement of skill at forecasting annual frequency of TYs in the WNP.展开更多
Deoxyribozyme(DNAzyme)and its substrate hybridization are crucial for achieving desirable detection performance in the DNAzyme coupling nanomaterial biosensor system.However,interfacial factors such as electrostatic r...Deoxyribozyme(DNAzyme)and its substrate hybridization are crucial for achieving desirable detection performance in the DNAzyme coupling nanomaterial biosensor system.However,interfacial factors such as electrostatic repulsion,steric hindrance,and nonspecific adsorption from gold nanoparticles make this hybridization process complicated and challenging.Moreover,the DNAzyme structure changes with different application purposes,which might affect the DNAzyme and substrate's connection.Few studies have focused on the interplay of DNAzyme and interfacial factors in the biosensor field.In this work,three types of DNAzyme variants were designed,and their biosensor performance rules were studied and summarized with the synergistic effect of interfacial factors.Additionally,corresponding biosensor applications,such as multiple modulation functions and mi RNA detections,were constructed based on the distinct principles of DNAzyme variants.展开更多
As an extension of linear regression in functional data analysis, functional linear regression has been studied by many researchers and applied in various fields. However, in many cases, data is collected sequentially...As an extension of linear regression in functional data analysis, functional linear regression has been studied by many researchers and applied in various fields. However, in many cases, data is collected sequentially over time, for example the financial series, so it is necessary to consider the autocorrelated structure of errors in functional regression background. To this end, this paper considers a multiple functional linear model with autoregressive errors. Based on the functional principal component analysis, we apply the least square procedure to estimate the functional coefficients and autoregression coefficients. Under some regular conditions, we establish the asymptotic properties of the proposed estimators. A simulation study is conducted to investigate the finite sample performance of our estimators. A real example on China's weather data is applied to illustrate the validity of our model.展开更多
Uncontrolled hemorrhage remains the leading cause of death in clinical and emergency care,posing a major threat to human life.To achieve effective bleeding control,many hemostatic materials have emerged.Among them,nat...Uncontrolled hemorrhage remains the leading cause of death in clinical and emergency care,posing a major threat to human life.To achieve effective bleeding control,many hemostatic materials have emerged.Among them,nature-derived biopolymers occupy an important position due to the excellent inherent biocompatibility,biodegradability and bioactivity.Additionally,sponges have been widely used in clinical and daily life because of their rapid blood absorption.Therefore,we provide the overview focusing on the latest advances and smart designs of biopolymer-based hemostatic sponge.Starting from the component,the applications of polysaccharide and polypeptide in hemostasis are systematically introduced,and the unique bioactivities such as antibacterial,antioxidant and immunomodulation are also concerned.From the perspective of sponge structure,different preparation processes can obtain unique physical properties and structures,which will affect the material properties such as hemostasis,antibacterial and tissue repair.Notably,as development frontier,the multifunctions of hemostatic materials is summarized,mainly including enhanced coagulation,antibacterial,avoiding tumor recurrence,promoting tissue repair,and hemorrhage monitoring.Finally,the challenges facing the development of biopolymer-based hemostatic sponges are emphasized,and future directions for in vivo biosafety,emerging materials,multiple application scenarios and translational research are proposed.展开更多
Based on winter nursery and shuttle breeding, Hainan National Breeding and Multiplication （HNBM）, with off-season breeding and seed production as the essence, has become a national strategic resource. The way of HNB...Based on winter nursery and shuttle breeding, Hainan National Breeding and Multiplication （HNBM）, with off-season breeding and seed production as the essence, has become a national strategic resource. The way of HNBM rising to the national strategy was analyzed through the aspects of technology features, historical characteristics, irreplaceability, function and value hierarchy, and the key problems. As the major achievement of the practice of scientific research and historical selec- tion, HNBM played an irreplaceable role in the climatic conditions, scientific breed- ing, and seed production in disaster relief, protecting the safety of the seed industry and Iocational advantages. Based on the analysis on the functions, values and ex- isted problems of HNBM, the function and value hierarchical structure of HNBM was established through introducing concepts of value engineering, industrial clusters and regional economy. But to fully achieve the industrial clustering development and functional values of HNBM, it needed to solve the key problems existed in top-level planning, experimental bases, system design, hardware construction and ecological security. Some suggestions were put forward in this paper, including setting up key scientific research protection zones, improving the regulations and policies safeguard mechanism and management system of HNBM, drawing up and carrying out the base development planning of HNBM, and striving for financial support from national policies.展开更多
The exponential stabilization problem for finite dimensional switched systems is extended to the infinite dimensional distributed parameter systems in the Hilbert space. Based on the semigroup theory, by applying the ...The exponential stabilization problem for finite dimensional switched systems is extended to the infinite dimensional distributed parameter systems in the Hilbert space. Based on the semigroup theory, by applying the multiple Lyapunov function method, the exponential stabilization conditions are derived. These conditions are given in the form of linear operator inequalities where the decision variables are operators in the Hilbert space; while the stabilization properties depend on the switching rule. Being applied to the two-dimensional heat switched propagation equations with the Dirichlet boundary conditions, these linear operator inequalities are transformed into standard linear matrix inequalities. Finally, two examples are given to illustrate the effectiveness of the proposed results.展开更多
This paper deals with the problem of switching between an open-loop estimator and a close-loop estimator for compensating transmission error and packet dropout of networked control systems. Switching impulse is consid...This paper deals with the problem of switching between an open-loop estimator and a close-loop estimator for compensating transmission error and packet dropout of networked control systems. Switching impulse is considered in order to reduce the error between theory and application, a sufficient condition for exponential stabilization of networked control systems under a given switching rule is presented by multiple Lyapunov-like functions. These results are presented for both continuous-time and discrete-time domains. Controllers are designed by means of linear matrix inequalities. Sim- ulation results show the feasibility and efficiency of the proposed method.展开更多
基金in partby the National Natural Science Founda-tion of China(1 950 1 0 36)
文摘In the present paper the transformation of symmetric Markov processes by symmetric martingale multiplicative functionals is studied and the corresponding Dirichlet form is formulated.
基金Supported by the National Natural Science Foundation of China(Grant No.11971476)。
文摘For any real number x,[x]denotes the integer part of x.F_(1),F_(2) denote two multiplicative function classes which are small in numerical sense.In this paper,we study the summation∑_(n≤x)f([x/n])for f∈F_(1).As specific cases,we take d^((e))(n),β(n),a(n),μ_(2)(n)denoting the number of exponential divisors of n,the number of square-full divisors of n,the number of non-isomorphic Abelian groups of order n,and the characteristic function of the square-free integers,respectively.In the case ofμ_(2)(n),we improved the result of Liu,Wu and Yang.The sums shaped likeΣ_(n≤x)f([x/n]+f([x/n]))for f∈F_(2) are also researched.
文摘In this paper,we study normal families of meromorphic functions.By using the idea in[16],we obtain some normality criteria for families of meromorphic functions concerning the wandering multiple functions,which extend and improve the well-known Montel's criterion,Bloch-Valiron's theorem,and the related results due to Carathéodory,and Grahl-Nevo et al..
基金supported in part by the Shandong Provincial Natural Science Foundation of China under Grant ZR2023ZD03 and ZR2024QF183in part by the Taishan Scholars Project Special Funds under Grant tsqn202312035.
文摘In current memristor-based neuromorphic computing research,several studies face the challenge of realizing only a single function at a time or having isolated functions.This limitation is particularly evident when simulating biological cognition,as the overall synergy between multiple cognitive functions is difficult to represent.In this work,a high-performance heterojunction memristor is presented at first.The memristor-based neural network and functional circuit are further implemented to realize and integrate multiple cognitive functions.Specifically,the proposed photoelectric memristor has the structure of Ag/ZnO-SnO_(2)/WO_(3-x)/ITO,it exhibits various synaptic behaviors under external modulations,which are characterized by good stability and repeatability.Based on this device,a neural network is built to realize the basic recognition function in biological cognition.The recognition results are translated into different labelled voltage signals and subsequently fed into a memristor-based functional circuit.By leveraging memory characteristics and tunable conductance of the memristor,and controlling the specific circuit functionalities,the input signals are processed to produce different outputs representing various cognitive functions.This methodology allows the realization and integration of recognition,memory,learning,association,relearning,and forgetting into one single system,thereby enabling a more comprehensive and authentic simulation of biological cognition.This work presents a novel memristor and a method for achieving and integrating multiple neuromorphic computing functions within a single system,providing a successful example for achieving complete biological function.
基金Supported by(Grant No.12288201)of the National Natural Science Foundation of China。
文摘A multiplicative function f is said to be resembling the Mobius function if f is supported on the square-free integers,and f(p)=±1 for each prime p.We prove O-and Ω-results for the summatory function ∑_(n)≤x f(n)for a class of these f,and the point is that these O-results demonstrate cancellations better than the square-root saving.It is proved in particular that the summatory function is O(x^(1/3+ε))under the Riemann Hypothesis.On the other hand it is proved to be Ω(x^(1/4))unconditionally.It is interesting to compare these with the corresponding results for the Mobius function.
基金Project supported by the National Natural Science Foundation of China.
文摘The authors introduce concepts of even and odd additive functionals and prove that an even martingale continuous additive functional of a symmetric Markov process vanishes identically.A representation for symmetric super-martingale multiplicative functionals are also given.
文摘The present work aims to determine the solution of trigonometric functional equation f with involution from group to field by using the properties of involution function, and the solution and Ulam-Hyers stability of the trigonometric functional equation are also discussed. Furthermore, this method generalizes the main theorem and gives the supplement in some reference.
基金the National Natural Science Foundation of China(Grant Nos.62303380,62176214,62101590,62003268)the Aeronautical Science Foundation of China(Grant No.201907053001).
文摘This research focuses on detecting faults in flight vehicles with unstable subsystems operating asynchronously.By accounting for asynchronous switching,a switched model is established,and filters for fault detection(FD)in unstable subsystems are developed.The FD challenge is then transformed into an H∞filtering issue.Utilizing the multiple discontinuous Lyapunov function(MDLF)approach and the mode-dependent average dwell time(MDADT)method,sufficient conditions are derived to ensure stability during both fast and slow switching.Furthermore,the existence and solutions for FD filters are provided through linear matrix inequalities(LMIs).The simulation outcomes demonstrated the excellent performance of the developed method in studied cases.
基金supported by the National Natural Science Foundation of China(52172219 and 51872192)the Natural Science Foundation of the Jiangsu Higher Education Institutions of China(19KJA170001)+1 种基金the Fundamental Research Program of Shanxi Province(202103021223019)Science and Technology Major Project of Shanxi(No.202101030201022)
文摘Sodium-sulfur(Na–S)batteries that utilize earth-abundant materials of Na and S have been one of the hottest topics in battery research.The low cost and high energy density make them promising candidates for next-generation storage technologies as required in the grid and renewable energy.In recent years,extensive efforts have been devoted to the diversity and functionalities of Na–S batteries,aiming to extend their potential applications across multiple temporal and spatial dimensions.Here,we summarize the unconventional designs for the functionalities of Na–S batteries such as flexible batteries,solid-state cells,flame resistance,and operation at extreme temperatures.By highlighting these design strategies that help to realize the functionalities,we hope this review offers a pathway to foster the bright future of Na–S batteries in diverse applications.
文摘This paper presents a procedure to develop fragility curves of structures equipped with TMD considering multiple failure functions.The failure criteria considered are maximum inter-story drift ratio as a safety criterion,maximum absolute acceleration as a convenience criterion and TMD stroke length.The relationship between intensity measure and responses of the structure was assumed to follow the power-law model,and a regression analysis was used to estimate its properties.A nonlinear eight-story shear building subjected to near-fault earthquakes was used for the numerical studies.Fragility curves using multiple and single failure functions for an uncontrolled structure and a structure equipped with optimal TMDs were developed.Numerical analysis showed that using multiple failure functions led to increasing the fragility when compared with using the single failure function for both the uncontrolled and controlled structures.However,TMDs slightly reduced the seismic fragility and have the capability to improve the reliability of the structure.Also,it was found that the fragility was significantly influenced by the values of the capacity thresholds of both the acceleration of the structure and TMD stroke length,which should be selected by considering the target performance and application of the structure and control device.
文摘In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a （weakly） LU-efficient solution in the considered nonsmooth multiobjective programming problem with the multiple interval-objective function. Further, the sufficient optimality conditions for a （weakly） LU-efficient solution and several duality results in Mond-Weir sense are proved under assumptions that the functions constituting the considered nondifferentiable multiobjective programming problem with the multiple interval- objective function are convex.
基金Sponsored by the Fundamental Research Program of Shanxi Province (Grant No.202103021223019)the Science and Technology Major Project of Shanxi (Grant No. 202101030201022)+1 种基金the National Natural Science Foundation of China (Grant Nos.52172219, 51872192)the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No.19KJA170001)。
文摘Aqueous zinc-ion batteries are a kind of attractive power supply devices due to their high energy, environmental benignity, and intrinsic safety. In recent years, tremendous enthusiasm has been devoted to the functionalities of aqueous zinc-ion batteries, aiming to extend their potential applications in multiple dimensions and multiple scales. Here, the latest advances in the design, construction, and performance evaluation of aqueous zinc-ion batteries are summarized. The focus is on various functionalities such as flexibility, self-healing, self-charging, and miniaturization. We also highlight the materials and structures that have been engineered to realize these functionalities. Finally, we offer some general insights into the challenges and chances in such exciting field.
基金supported in part by the National Natural Science Foundation of China(71571123,71771155)
文摘By using the unsymmetrical scale instead of the symmetrical scale,the multiplicative intuitionistic fuzzy sets(MIFSs) reflect our intuition more objectively.Each element in a MIFS is expressed by an ordered pair which is called a multiplicative intuitionistic fuzzy number(MIFN)and is based on the unbalanced scale(i.e.,Saaty’s 1-9 scale).In order to describe the derivatives and differentials for multiplicative intuitionistic fuzzy information more comprehensively,in this paper,we firstly propose two new basic operational laws for MIFNs,which are the subtraction law and the division law.Secondly,we describe the change values of MIFNs when considering them as variables,classify these change values based on the basic operational laws for MIFNs,and depict the convergences of sequences of MIFNs by the subtraction and division laws.Finally,we focus on the multiplicative intuitionistic fuzzy functions and derive some basic results related to their continuities,derivatives and differentials,and also give their application in selecting the configuration of a computer.
基金Supported by the Natural Science Fund of Education Department of Anhui Province (KJ2012Z097)
文摘[ Objective] The multiple mean generational function （MMGF） method was applied to forecast the annual number of typhoons （TYs） over the Western North Pacific （WNP）. [Method]The method yields a number of predictors by mean generational function based on the rolling 50- year data of TYs frequency and sunspot number, and was repeated to generate forecasts year after year by optimal subset regression. [ Result] The results showed a reasonably high predictive ability dudng period 2000 -2010, with an average root mean square （RMSE） value of 1.92 and a mean absolute error （MAE） value of 1.64. [ Conclusion] Although the MMGF method needs further validation in the practical operation, it already has strong potential for the improvement of skill at forecasting annual frequency of TYs in the WNP.
基金financially supported by the National Natural Science Foundation of China(Nos.82172372 and 82302651)the Training Program of Innovation and Entrepreneurship for Undergraduates of Hubei Province(No.S202210487267)。
文摘Deoxyribozyme(DNAzyme)and its substrate hybridization are crucial for achieving desirable detection performance in the DNAzyme coupling nanomaterial biosensor system.However,interfacial factors such as electrostatic repulsion,steric hindrance,and nonspecific adsorption from gold nanoparticles make this hybridization process complicated and challenging.Moreover,the DNAzyme structure changes with different application purposes,which might affect the DNAzyme and substrate's connection.Few studies have focused on the interplay of DNAzyme and interfacial factors in the biosensor field.In this work,three types of DNAzyme variants were designed,and their biosensor performance rules were studied and summarized with the synergistic effect of interfacial factors.Additionally,corresponding biosensor applications,such as multiple modulation functions and mi RNA detections,were constructed based on the distinct principles of DNAzyme variants.
基金supported by National Nature Science Foundation of China(No.11861074,No.11371354 and N0.11301464)Key Laboratory of Random Complex Structures and Data Science,Chinese Academy of Sciences,Beijing 100190,China(No.2008DP173182)Applied Basic Research Project of Yunnan Province(No.2019FB138).
文摘As an extension of linear regression in functional data analysis, functional linear regression has been studied by many researchers and applied in various fields. However, in many cases, data is collected sequentially over time, for example the financial series, so it is necessary to consider the autocorrelated structure of errors in functional regression background. To this end, this paper considers a multiple functional linear model with autoregressive errors. Based on the functional principal component analysis, we apply the least square procedure to estimate the functional coefficients and autoregression coefficients. Under some regular conditions, we establish the asymptotic properties of the proposed estimators. A simulation study is conducted to investigate the finite sample performance of our estimators. A real example on China's weather data is applied to illustrate the validity of our model.
基金jointly sponsored by Sichuan Science and Tech-nology Program(2024NSFSC0002 and MZGC20240011)“1.3.5”Project for Disciplines of Excellence,West China Hospital,Sichuan University(ZYGD23037)+1 种基金the Frontiers Medical Center,Tianfu Jincheng Laboratory Foundation(TFJC2023010002)the National Natural Science Foundation of China(Grant No.32171351).
文摘Uncontrolled hemorrhage remains the leading cause of death in clinical and emergency care,posing a major threat to human life.To achieve effective bleeding control,many hemostatic materials have emerged.Among them,nature-derived biopolymers occupy an important position due to the excellent inherent biocompatibility,biodegradability and bioactivity.Additionally,sponges have been widely used in clinical and daily life because of their rapid blood absorption.Therefore,we provide the overview focusing on the latest advances and smart designs of biopolymer-based hemostatic sponge.Starting from the component,the applications of polysaccharide and polypeptide in hemostasis are systematically introduced,and the unique bioactivities such as antibacterial,antioxidant and immunomodulation are also concerned.From the perspective of sponge structure,different preparation processes can obtain unique physical properties and structures,which will affect the material properties such as hemostasis,antibacterial and tissue repair.Notably,as development frontier,the multifunctions of hemostatic materials is summarized,mainly including enhanced coagulation,antibacterial,avoiding tumor recurrence,promoting tissue repair,and hemorrhage monitoring.Finally,the challenges facing the development of biopolymer-based hemostatic sponges are emphasized,and future directions for in vivo biosafety,emerging materials,multiple application scenarios and translational research are proposed.
基金Supported by the Natural Science Foundation of Hainan Province(313114)the Sanya Science Project(2013YD89)the Social Science Project(SYSK14-08)~~
文摘Based on winter nursery and shuttle breeding, Hainan National Breeding and Multiplication （HNBM）, with off-season breeding and seed production as the essence, has become a national strategic resource. The way of HNBM rising to the national strategy was analyzed through the aspects of technology features, historical characteristics, irreplaceability, function and value hierarchy, and the key problems. As the major achievement of the practice of scientific research and historical selec- tion, HNBM played an irreplaceable role in the climatic conditions, scientific breed- ing, and seed production in disaster relief, protecting the safety of the seed industry and Iocational advantages. Based on the analysis on the functions, values and ex- isted problems of HNBM, the function and value hierarchical structure of HNBM was established through introducing concepts of value engineering, industrial clusters and regional economy. But to fully achieve the industrial clustering development and functional values of HNBM, it needed to solve the key problems existed in top-level planning, experimental bases, system design, hardware construction and ecological security. Some suggestions were put forward in this paper, including setting up key scientific research protection zones, improving the regulations and policies safeguard mechanism and management system of HNBM, drawing up and carrying out the base development planning of HNBM, and striving for financial support from national policies.
基金The National Natural Science Foundation of China(No.61273119,61104068,61374038)the Natural Science Foundation of Jiangsu Province(No.BK2011253)
文摘The exponential stabilization problem for finite dimensional switched systems is extended to the infinite dimensional distributed parameter systems in the Hilbert space. Based on the semigroup theory, by applying the multiple Lyapunov function method, the exponential stabilization conditions are derived. These conditions are given in the form of linear operator inequalities where the decision variables are operators in the Hilbert space; while the stabilization properties depend on the switching rule. Being applied to the two-dimensional heat switched propagation equations with the Dirichlet boundary conditions, these linear operator inequalities are transformed into standard linear matrix inequalities. Finally, two examples are given to illustrate the effectiveness of the proposed results.
基金This work was supported by the National Natural Science Foundation of China (No.60574013, 60274009), and the Natural Science Fundation ofLiaoning Province (No.20032020).
文摘This paper deals with the problem of switching between an open-loop estimator and a close-loop estimator for compensating transmission error and packet dropout of networked control systems. Switching impulse is considered in order to reduce the error between theory and application, a sufficient condition for exponential stabilization of networked control systems under a given switching rule is presented by multiple Lyapunov-like functions. These results are presented for both continuous-time and discrete-time domains. Controllers are designed by means of linear matrix inequalities. Sim- ulation results show the feasibility and efficiency of the proposed method.
