This paper presents a multi-ANN approximation approach to approximate complex non-linear function. Comparing with single-ANN methods the proposed approach improves and increases the approximation and generalization ab...This paper presents a multi-ANN approximation approach to approximate complex non-linear function. Comparing with single-ANN methods the proposed approach improves and increases the approximation and generalization ability, and adaptability greatly in learning processes of networks. The simulation results have been shown that the method can be applied to the modeling and identification of complex dynamic control systems.展开更多
We investigate the problem of function projective synchronization (FPS) in drive–response dynamical networks with non-identical nodes. An adaptive controller is proposed for the FPS of complex dynamical networks wi...We investigate the problem of function projective synchronization (FPS) in drive–response dynamical networks with non-identical nodes. An adaptive controller is proposed for the FPS of complex dynamical networks with uncertain parameters and disturbance. Not only are the unknown parameters of the networks estimated by the adaptive laws obtained from the Lyapunov stability theory and Taylor expansions, but the unknown bounded disturbances are also simultaneously conquered by the proposed control. Finally, a numerical simulation is provided to illustrate the feasibility and effectiveness of the obtained result.展开更多
To explore the influence of stress space rotation on roadway stability,this study establishes Cartesian and principal stress axes,obtains principal stress characteristic parameters and direction cosine matrix,and dete...To explore the influence of stress space rotation on roadway stability,this study establishes Cartesian and principal stress axes,obtains principal stress characteristic parameters and direction cosine matrix,and determines the conversion process between coordinate axes.By breaking through the traditional plane strain mechanics model,a full plane strain model of rectangular roadway considering the deflection effect of principal stress axis is established.The analytical solution of stress complex variation of any element around the roadway is derived,and the calculation method of plastic zone is given.The influence of stress deflection on the stress of roadway and the shape distribution of plastic zone is discussed and the control system of roadway under the action of principal stress deflection in spatial region is established.The research results show that:(1)the shear stress and normal stress formed in the remote of the roadway during the stress rotation are in the same order of magnitude,and the plastic quantitative calculation of the roadway cannot simply consider the normal stress.(2)Stress deflection causes the distribution of stress and plastic zone around the roadway to show‘asymmetric’failure characteristics,and the transient deflection of stress may cause the rapid expansion of the plastic zone of the roadway.(3)The distribution characteristics of plastic zone calculated by this study are compared with the deformation and failure feature and peep results of the return air roadway in Cuncaota Mine,and the comparison results are good.The supporting system and technology of roadway under the action of principal stress deflection in space area are put forward,and the field application effect is good.展开更多
Using energy analysis,the quantifying evaluation and study method on production, living and ecology functions and their sustainability of rural settlement ecosystem in mountain area is established with these energy in...Using energy analysis,the quantifying evaluation and study method on production, living and ecology functions and their sustainability of rural settlement ecosystem in mountain area is established with these energy index such as export of labor and products, export of water resource, internal energy reserve, energy consumption for human living, net energy of ecosystem function and net internal reserve. Taking rural settlement Raosi Village in Hengduan Mountains as a case study, and on the basis of the synthetic research into the ecological process of the complex ecosystem, the study shows that energy costs of production, human living and ecology functions are separately taking 1.36%, 13.59% and 85. 05% of the gross ecosystem functions, and the exertions of production and human living functions are close to a high-point state on the present using level of energy in the settlement. The study also shows that the most important function of a rural settlement in mountain area is its ecological rather productive function.展开更多
In this article, we mainly develop the foundation of a new function theory of several complex variables with values in a complex Clifford algebra defined on some subdomains of C^n+l, so-called complex holomorphic Cli...In this article, we mainly develop the foundation of a new function theory of several complex variables with values in a complex Clifford algebra defined on some subdomains of C^n+l, so-called complex holomorphic Cliffordian functions. We define the complex holomorphic Cliffordian functions, study polynomial and singular solutions of the equation D△^mf= 0, obtain the integral representation formula for the complex holo-morphic Cliffordian functions with values in a complex Clifford algebra defined on some submanifolds of C^n+1, deduce the Taylor expansion and the Laurent expansion for them and prove an invariance under an action of Lie group for them.展开更多
A series of new macrocyclic dioxo 13 aneN 4 bearing various functional pendants, 2 methylfuran (LF), 2 methylthiophene (LT), 2 methylpyridine (LP), have been synthesized and characterized, where dioxo 13 aneN 4 is 1,4...A series of new macrocyclic dioxo 13 aneN 4 bearing various functional pendants, 2 methylfuran (LF), 2 methylthiophene (LT), 2 methylpyridine (LP), have been synthesized and characterized, where dioxo 13 aneN 4 is 1,4,7,10 tetraazacyclotridecane 11,13 dione. The solution behaviours of the nickel(Ⅱ) complexes have been studied by Uv vis, cyclic voltammetric techniques. The red shifts were observed for the absorption band maxima of the electronic spectra from NiLR 1 to NiLR 2 (R=2 methylfuran, 2 methylthiophene, 2 methylpyridine). The value of E 1/2 of the NiLR 2 is less than NiLR 1 and both of them are lower than that of the nickel(Ⅱ) complex of the unsubstituted ligand, and these reasons are discussed.展开更多
A novel scheme to construct a hash function based on a weighted complex dynamical network (WCDN) generated from an original message is proposed in this paper. First, the original message is divided into blocks. Then...A novel scheme to construct a hash function based on a weighted complex dynamical network (WCDN) generated from an original message is proposed in this paper. First, the original message is divided into blocks. Then, each block is divided into components, and the nodes and weighted edges are well defined from these components and their relations. Namely, the WCDN closely related to the original message is established. Furthermore, the node dynamics of the WCDN are chosen as a chaotic map. After chaotic iterations, quantization and exclusive-or operations, the fixed-length hash value is obtained. This scheme has the property that any tiny change in message can be diffused rapidly through the WCDN, leading to very different hash values. Analysis and simulation show that the scheme possesses good statistical properties, excellent confusion and diffusion, strong collision resistance and high efficiency.展开更多
Iridium(Ⅲ) complexes are one of the most important electrophosphorescent dyes with tunable emissions in the range of visible and near infrared lights,high photoluminescence yields and short lifetimes for high-effic...Iridium(Ⅲ) complexes are one of the most important electrophosphorescent dyes with tunable emissions in the range of visible and near infrared lights,high photoluminescence yields and short lifetimes for high-efficiency organic light-emitting diodes(OLED) with 100% exciton harvesting.This review summarizes the recent development of electroluminescent Ir^(3+) complexes functionalized with host-featured carrier-transporting groups,with emphasis on correlations between functionalization,optoelectronic properties and device performance.According to the introducing approaches,the complexes were sorted with conjugated and aliphatic linkages,as well as the types of functional groups.The modification effect on physical properties and the state-of-the-art device performances were discussed.展开更多
Recently,much attention has been paid to the lanthanide luminescent materials based on the visiblelight sensitization for their potential applications in the fields of bio-imaging and optical devices.In this work,the ...Recently,much attention has been paid to the lanthanide luminescent materials based on the visiblelight sensitization for their potential applications in the fields of bio-imaging and optical devices.In this work,the lanthanide complexes have been covalently bonded to the ordered mesoporous titania(OMT) matrix,and the resulting titania-based hybrid ordered mesoporous materials(named as LnDBOMT,Ln = Eu,Sm,Yb,Nd) were characterized by using Fourier-transform infrared(FT-IR) spectroscopy,small-angle X-ray powder diffraction(SAXD),N2 adsorption-desorption isotherms,transmission electron microscopy(TEM),fluorescence spectroscopy,and thermogravimetric analysis.Generally,exciting with visible light is advantageous over UV excitation.Of importance here is that,under excitation with visible light,the LnDB-OMT all show characteristic visible(Eu3+,Sm3+) as well as nearinfrared(Sm3+,Yb3+,Nd3+) luminescence of the corresponding Ln3+ ions(multicolor emission covered from 500 to 1400 nm spectral region),which is attributed to the energy transfer from the ligands to the Ln3+ ions via an antenna effect.展开更多
Copolyesters having secondary and tertiary amine salt groups in the main and side chains are prepared by chemoselective polymerization. These copolyesters are soluble in a 10% aqueous solution of poly(vinyl alcohol) (...Copolyesters having secondary and tertiary amine salt groups in the main and side chains are prepared by chemoselective polymerization. These copolyesters are soluble in a 10% aqueous solution of poly(vinyl alcohol) (PVA) at 90 degree C and act as plasticizer in the blend films cast from the solution. Only a glass transition temperature is observed for all these blends indicating the formation of compatible blends from these polyesters with PVA. These blends exhibit manifold characteristics such as ionic conductivity, complex formation with metal ions, absorption of moisture and color changes. The electric conductivity of the copolyesters and blends is in the range of 10** minus **6 Scm** minus **1. The blends with PVA forms complexes with Cu**2** plus and Co**2** plus . The coordination structure with two chelate rings is suggested for these polymer blend/metal complexes. (Author abstract) 10 Refs.展开更多
Grandi’s paradox, which was posed for a real function of the form 1/(1+ x), has been resolved and extended to complex valued functions. Resolution of this approximately three-hundred-year-old paradox is accomplished ...Grandi’s paradox, which was posed for a real function of the form 1/(1+ x), has been resolved and extended to complex valued functions. Resolution of this approximately three-hundred-year-old paradox is accomplished by the use of a consistent truncation approach that can be applied to all the series expansions of Grandi-type functions. Furthermore, a new technique for improving the convergence characteristics of power series with alternating signs is introduced. The technique works by successively averaging a series at different orders of truncation. A sound theoretical justification of the successive averaging method is demonstrated by two different series expansions of the function 1/(1+ ex ) . Grandi-type complex valued functions such as 1/(i + x) are expressed as consistently-truncated and convergence-improved forms and Fagnano’s formula is established from the series expansions of these functions. A Grandi-type general complex valued function is introduced and expanded to a consistently truncated and successively averaged series. Finally, an unorthodox application of the successive averaging method to polynomials is presented.展开更多
The complex Banach spaces X with values in which every bounded holomorphic function in the unit hall B of C-d(d > 1) has boundary limits almost surely are exactly the spaces with the analytic Radon-Nikodym property...The complex Banach spaces X with values in which every bounded holomorphic function in the unit hall B of C-d(d > 1) has boundary limits almost surely are exactly the spaces with the analytic Radon-Nikodym property. The proof is based on inner Hardy martingales introduced here. The inner Hardy martingales are constructed in terms of inner functions in B and are reasonable discrete approximations for the image processes of the holomorphic Brownian motion under X-valued holomorphic functions in B.展开更多
In this paper, we investigate one kind of complex-valued systems with an impulsive control field, where the complex-valued system is governed by the Schrödinger equation, which is used for quantum systems, etc. W...In this paper, we investigate one kind of complex-valued systems with an impulsive control field, where the complex-valued system is governed by the Schrödinger equation, which is used for quantum systems, etc. We study the convergence of the complex-valued system with impulsive control fields by one Lyapunov function based on the state distance and the invariant principle of impulsive systems. We propose new results for the mentioned complex-valued systems in the form of sufficient conditions and also present one numerical simulation to illustrate the effectiveness of the proposed control method.展开更多
The 300 msw Simulated Saturation Diving Chamber Complex was designed and built by ourselves. It was completed at the end of 1985. A 300 msw trimixed saturation diving experiment was successfully conducted in the compl...The 300 msw Simulated Saturation Diving Chamber Complex was designed and built by ourselves. It was completed at the end of 1985. A 300 msw trimixed saturation diving experiment was successfully conducted in the complex by Chinese Underwater Technology Institute(CUTI) from May 22 to June 12 of 1987. During the experiment, 4 divers habitated in the complex for 20 days, and they performed 16 person-time excursion dives and 8 other tests. The result of the experiment indicates that the complex is well designed, suitably configurated, wholly integrated and steadily run, as well as of low leakage. The main functions of the complex have approached to those of the same kind in the world. The complex can be used as a basic facility for serving the nation's saturation diving technology, underwater operation, personnel training, etc.展开更多
We consider the space X of all analytic functionsof two complex variables s1 and s2, equipping it with the natural locally convex topology and using the growth parameter, the order of f as defined recently by the auth...We consider the space X of all analytic functionsof two complex variables s1 and s2, equipping it with the natural locally convex topology and using the growth parameter, the order of f as defined recently by the authors. Under this topology X becomes a Frechet space Apart from finding the characterization of continuous linear functionals, linear transformation on X, we have obtained the necessary and sufficient conditions for a double sequence in X to be a proper bases.展开更多
For series manufacture of pressure sensors, stage of technological tests is performed, related to a definition of the manufacturing accuracy of the sensors. Technological test plan of pressure sensors involves testing...For series manufacture of pressure sensors, stage of technological tests is performed, related to a definition of the manufacturing accuracy of the sensors. Technological test plan of pressure sensors involves testing the sensors on certain fixed temperature and pressure points available in the table. According to a test results, we determine transformation function mathematical model coefficients of sensors and accordance by the claimed accuracy class, of the manufactured sensors. The cost of pressure sensors mostly depends on the cost of this step and determined by the complexity of the used transformation function model. The analysis of a contemporary works associated with the choice of transformation functions for smart pressure sensors. A new proposed indicator of model complexity of a sensor transformation function. In details shown features of the complexity indicator use and given an example. In the article was set and resolved the task to reduce the cost of the tests for commercially available sensors, by reducing the number of temperature points, without compromising the accuracy of the sensor measurement ability.展开更多
Stability criteria for the complex-valued impulsive system are applied widely in many fields, such as quantum systems, which have been studied in recent decades. In this paper, I investigate the Lyapunov control of fi...Stability criteria for the complex-valued impulsive system are applied widely in many fields, such as quantum systems, which have been studied in recent decades. In this paper, I investigate the Lyapunov control of finite dimensional complex-valued systems with impulsive control fields, where the studied complex-valued systems are governed by the Schrödinger equation and can be used in quantum systems. By one Lyapunov function based on state error and the invariant principle of impulsive systems, I study the convergence of complex-valued systems with impulsive control fields and propose new results for the mentioned complex-valued systems in the form of sufficient conditions. A numerical simulation to validate the proposed control method is provided.展开更多
在全球可持续发展与健康饮食需求的双重驱动下,植物蛋白作为动物蛋白替代资源的重要性日益突出。然而,植物蛋白天然凝胶性能的不足严重制约了在高端食品及非食品领域的高附加值应用。本文旨在系统评述近年来植物蛋白凝胶性能强化的主要...在全球可持续发展与健康饮食需求的双重驱动下,植物蛋白作为动物蛋白替代资源的重要性日益突出。然而,植物蛋白天然凝胶性能的不足严重制约了在高端食品及非食品领域的高附加值应用。本文旨在系统评述近年来植物蛋白凝胶性能强化的主要策略与作用机理研究进展,为开发高性能植物蛋白制品及相关理论研究提供参考,以推动其在更广泛领域的创新应用,助力可持续食品与材料体系的发展。为此,本研究系统检索了Web of Science、ScienceDirect、PubMed及CNKI数据库(2015—2025年),以“植物蛋白凝胶”“物理改性”“酶法改性”“多糖复合”等为核心关键词进行组合检索,并通过文献追溯与引用追踪补充关键文献,经筛选后纳入高质量研究进行系统梳理与分析。文章围绕植物蛋白凝胶的形成基础、多维评价方法与性能强化策略展开分析。重点剖析了3大类强化策略:物理改性(如热、超声、高压处理),化学与生物酶法改性(酰化、糖基化、转谷氨酰胺酶交联),多组分复合策略(与多糖、多酚结合)。此外,进一步探讨了深共晶溶剂工程、双网络/互穿网络结构、4D打印智能凝胶及导电/自愈合凝胶等新兴设计策略。这些策略分别通过能量输入、精准共价修饰与分子间互作,显著提升了凝胶的强度、稳定性和功能多样性,标志着该领域正从“被动的性能改良”转向“主动的功能创造”。不过,从实验室走向产业化仍面临平衡感官与营养、克服原料差异与工艺放大瓶颈等核心挑战。未来仍需深化凝胶化动力学的原位解析与凝胶性能的理性设计研究,推动多种策略的智能化集成,挖掘非传统植物蛋白资源(如微藻蛋白、土豆蛋白、藜麦蛋白等)并建立其改性策略与应用场景的匹配关系。通过跨学科协同与“产学研”融合,植物蛋白凝胶有望在生物医学、柔性电子及循环经济材料等领域发挥关键作用,为可持续食品与材料体系提供重要支撑。展开更多
摘要This paper presents a multi-ANN approximation approach to approximate complex non-linear function. Comparing with single-ANN methods the proposed approach improves and increases the approximation and generalization ability, and adaptability greatly in learning processes of networks. The simulation results have been shown that the method can be applied to the modeling and identification of complex dynamic control systems.
基金the National Natural Science Foundation of China(Grant No.70871056)the Fundamental Research Funds for the Central Universities,China(Grant No.2013B10014)
摘要We investigate the problem of function projective synchronization (FPS) in drive–response dynamical networks with non-identical nodes. An adaptive controller is proposed for the FPS of complex dynamical networks with uncertain parameters and disturbance. Not only are the unknown parameters of the networks estimated by the adaptive laws obtained from the Lyapunov stability theory and Taylor expansions, but the unknown bounded disturbances are also simultaneously conquered by the proposed control. Finally, a numerical simulation is provided to illustrate the feasibility and effectiveness of the obtained result.
基金supported by the National Natural Science Foundation of China(51774288,52004289 and U22A20165)the Fundamental Research Funds for the Central Universities(2022XJNY01,BBJ2024001).
摘要To explore the influence of stress space rotation on roadway stability,this study establishes Cartesian and principal stress axes,obtains principal stress characteristic parameters and direction cosine matrix,and determines the conversion process between coordinate axes.By breaking through the traditional plane strain mechanics model,a full plane strain model of rectangular roadway considering the deflection effect of principal stress axis is established.The analytical solution of stress complex variation of any element around the roadway is derived,and the calculation method of plastic zone is given.The influence of stress deflection on the stress of roadway and the shape distribution of plastic zone is discussed and the control system of roadway under the action of principal stress deflection in spatial region is established.The research results show that:(1)the shear stress and normal stress formed in the remote of the roadway during the stress rotation are in the same order of magnitude,and the plastic quantitative calculation of the roadway cannot simply consider the normal stress.(2)Stress deflection causes the distribution of stress and plastic zone around the roadway to show‘asymmetric’failure characteristics,and the transient deflection of stress may cause the rapid expansion of the plastic zone of the roadway.(3)The distribution characteristics of plastic zone calculated by this study are compared with the deformation and failure feature and peep results of the return air roadway in Cuncaota Mine,and the comparison results are good.The supporting system and technology of roadway under the action of principal stress deflection in space area are put forward,and the field application effect is good.
摘要Using energy analysis,the quantifying evaluation and study method on production, living and ecology functions and their sustainability of rural settlement ecosystem in mountain area is established with these energy index such as export of labor and products, export of water resource, internal energy reserve, energy consumption for human living, net energy of ecosystem function and net internal reserve. Taking rural settlement Raosi Village in Hengduan Mountains as a case study, and on the basis of the synthetic research into the ecological process of the complex ecosystem, the study shows that energy costs of production, human living and ecology functions are separately taking 1.36%, 13.59% and 85. 05% of the gross ecosystem functions, and the exertions of production and human living functions are close to a high-point state on the present using level of energy in the settlement. The study also shows that the most important function of a rural settlement in mountain area is its ecological rather productive function.
基金Supported by NNSF of China (6087349, 10871150)863Project of China (2008AA01Z419)+1 种基金RFDP of Higher Education (20060486001)Post-Doctor Foundation ofChina (20090460316)
摘要In this article, we mainly develop the foundation of a new function theory of several complex variables with values in a complex Clifford algebra defined on some subdomains of C^n+l, so-called complex holomorphic Cliffordian functions. We define the complex holomorphic Cliffordian functions, study polynomial and singular solutions of the equation D△^mf= 0, obtain the integral representation formula for the complex holo-morphic Cliffordian functions with values in a complex Clifford algebra defined on some submanifolds of C^n+1, deduce the Taylor expansion and the Laurent expansion for them and prove an invariance under an action of Lie group for them.
摘要A series of new macrocyclic dioxo 13 aneN 4 bearing various functional pendants, 2 methylfuran (LF), 2 methylthiophene (LT), 2 methylpyridine (LP), have been synthesized and characterized, where dioxo 13 aneN 4 is 1,4,7,10 tetraazacyclotridecane 11,13 dione. The solution behaviours of the nickel(Ⅱ) complexes have been studied by Uv vis, cyclic voltammetric techniques. The red shifts were observed for the absorption band maxima of the electronic spectra from NiLR 1 to NiLR 2 (R=2 methylfuran, 2 methylthiophene, 2 methylpyridine). The value of E 1/2 of the NiLR 2 is less than NiLR 1 and both of them are lower than that of the nickel(Ⅱ) complex of the unsubstituted ligand, and these reasons are discussed.
基金Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2010526)the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20103223110003)The Ministry of Education Research in the Humanities and Social Sciences Planning Fund, China (Grant No. 12YJAZH120)
摘要A novel scheme to construct a hash function based on a weighted complex dynamical network (WCDN) generated from an original message is proposed in this paper. First, the original message is divided into blocks. Then, each block is divided into components, and the nodes and weighted edges are well defined from these components and their relations. Namely, the WCDN closely related to the original message is established. Furthermore, the node dynamics of the WCDN are chosen as a chaotic map. After chaotic iterations, quantization and exclusive-or operations, the fixed-length hash value is obtained. This scheme has the property that any tiny change in message can be diffused rapidly through the WCDN, leading to very different hash values. Analysis and simulation show that the scheme possesses good statistical properties, excellent confusion and diffusion, strong collision resistance and high efficiency.
基金financially supported by NSFC(Nos.51373050 and 61176020)New Century Excellent Talents Supporting Program of MOE(No.NCET-12-0706)+2 种基金Science and Technology Bureau of Heilongjiang Province(Nos.ZD201402 and JC2015002)Education Bureau of Heilongjiang Province(No.2014CJHB005)the Fok Ying-Tong Education Foundation for Young Teachers in the Higher Education Institutions of China(No.141012)
摘要Iridium(Ⅲ) complexes are one of the most important electrophosphorescent dyes with tunable emissions in the range of visible and near infrared lights,high photoluminescence yields and short lifetimes for high-efficiency organic light-emitting diodes(OLED) with 100% exciton harvesting.This review summarizes the recent development of electroluminescent Ir^(3+) complexes functionalized with host-featured carrier-transporting groups,with emphasis on correlations between functionalization,optoelectronic properties and device performance.According to the introducing approaches,the complexes were sorted with conjugated and aliphatic linkages,as well as the types of functional groups.The modification effect on physical properties and the state-of-the-art device performances were discussed.
基金Project supported by the National Natural Science Foundation of China(21571125,21471144)National Key R&D Program of China(2016YFE0114800)the project from State Key Laboratory of Rare Earth Resource Utilization(RERU2016013)
摘要Recently,much attention has been paid to the lanthanide luminescent materials based on the visiblelight sensitization for their potential applications in the fields of bio-imaging and optical devices.In this work,the lanthanide complexes have been covalently bonded to the ordered mesoporous titania(OMT) matrix,and the resulting titania-based hybrid ordered mesoporous materials(named as LnDBOMT,Ln = Eu,Sm,Yb,Nd) were characterized by using Fourier-transform infrared(FT-IR) spectroscopy,small-angle X-ray powder diffraction(SAXD),N2 adsorption-desorption isotherms,transmission electron microscopy(TEM),fluorescence spectroscopy,and thermogravimetric analysis.Generally,exciting with visible light is advantageous over UV excitation.Of importance here is that,under excitation with visible light,the LnDB-OMT all show characteristic visible(Eu3+,Sm3+) as well as nearinfrared(Sm3+,Yb3+,Nd3+) luminescence of the corresponding Ln3+ ions(multicolor emission covered from 500 to 1400 nm spectral region),which is attributed to the energy transfer from the ligands to the Ln3+ ions via an antenna effect.
摘要Copolyesters having secondary and tertiary amine salt groups in the main and side chains are prepared by chemoselective polymerization. These copolyesters are soluble in a 10% aqueous solution of poly(vinyl alcohol) (PVA) at 90 degree C and act as plasticizer in the blend films cast from the solution. Only a glass transition temperature is observed for all these blends indicating the formation of compatible blends from these polyesters with PVA. These blends exhibit manifold characteristics such as ionic conductivity, complex formation with metal ions, absorption of moisture and color changes. The electric conductivity of the copolyesters and blends is in the range of 10** minus **6 Scm** minus **1. The blends with PVA forms complexes with Cu**2** plus and Co**2** plus . The coordination structure with two chelate rings is suggested for these polymer blend/metal complexes. (Author abstract) 10 Refs.
摘要Grandi’s paradox, which was posed for a real function of the form 1/(1+ x), has been resolved and extended to complex valued functions. Resolution of this approximately three-hundred-year-old paradox is accomplished by the use of a consistent truncation approach that can be applied to all the series expansions of Grandi-type functions. Furthermore, a new technique for improving the convergence characteristics of power series with alternating signs is introduced. The technique works by successively averaging a series at different orders of truncation. A sound theoretical justification of the successive averaging method is demonstrated by two different series expansions of the function 1/(1+ ex ) . Grandi-type complex valued functions such as 1/(i + x) are expressed as consistently-truncated and convergence-improved forms and Fagnano’s formula is established from the series expansions of these functions. A Grandi-type general complex valued function is introduced and expanded to a consistently truncated and successively averaged series. Finally, an unorthodox application of the successive averaging method to polynomials is presented.
摘要The complex Banach spaces X with values in which every bounded holomorphic function in the unit hall B of C-d(d > 1) has boundary limits almost surely are exactly the spaces with the analytic Radon-Nikodym property. The proof is based on inner Hardy martingales introduced here. The inner Hardy martingales are constructed in terms of inner functions in B and are reasonable discrete approximations for the image processes of the holomorphic Brownian motion under X-valued holomorphic functions in B.
摘要In this paper, we investigate one kind of complex-valued systems with an impulsive control field, where the complex-valued system is governed by the Schrödinger equation, which is used for quantum systems, etc. We study the convergence of the complex-valued system with impulsive control fields by one Lyapunov function based on the state distance and the invariant principle of impulsive systems. We propose new results for the mentioned complex-valued systems in the form of sufficient conditions and also present one numerical simulation to illustrate the effectiveness of the proposed control method.
摘要The 300 msw Simulated Saturation Diving Chamber Complex was designed and built by ourselves. It was completed at the end of 1985. A 300 msw trimixed saturation diving experiment was successfully conducted in the complex by Chinese Underwater Technology Institute(CUTI) from May 22 to June 12 of 1987. During the experiment, 4 divers habitated in the complex for 20 days, and they performed 16 person-time excursion dives and 8 other tests. The result of the experiment indicates that the complex is well designed, suitably configurated, wholly integrated and steadily run, as well as of low leakage. The main functions of the complex have approached to those of the same kind in the world. The complex can be used as a basic facility for serving the nation's saturation diving technology, underwater operation, personnel training, etc.
摘要We consider the space X of all analytic functionsof two complex variables s1 and s2, equipping it with the natural locally convex topology and using the growth parameter, the order of f as defined recently by the authors. Under this topology X becomes a Frechet space Apart from finding the characterization of continuous linear functionals, linear transformation on X, we have obtained the necessary and sufficient conditions for a double sequence in X to be a proper bases.
摘要For series manufacture of pressure sensors, stage of technological tests is performed, related to a definition of the manufacturing accuracy of the sensors. Technological test plan of pressure sensors involves testing the sensors on certain fixed temperature and pressure points available in the table. According to a test results, we determine transformation function mathematical model coefficients of sensors and accordance by the claimed accuracy class, of the manufactured sensors. The cost of pressure sensors mostly depends on the cost of this step and determined by the complexity of the used transformation function model. The analysis of a contemporary works associated with the choice of transformation functions for smart pressure sensors. A new proposed indicator of model complexity of a sensor transformation function. In details shown features of the complexity indicator use and given an example. In the article was set and resolved the task to reduce the cost of the tests for commercially available sensors, by reducing the number of temperature points, without compromising the accuracy of the sensor measurement ability.
摘要Stability criteria for the complex-valued impulsive system are applied widely in many fields, such as quantum systems, which have been studied in recent decades. In this paper, I investigate the Lyapunov control of finite dimensional complex-valued systems with impulsive control fields, where the studied complex-valued systems are governed by the Schrödinger equation and can be used in quantum systems. By one Lyapunov function based on state error and the invariant principle of impulsive systems, I study the convergence of complex-valued systems with impulsive control fields and propose new results for the mentioned complex-valued systems in the form of sufficient conditions. A numerical simulation to validate the proposed control method is provided.
摘要在全球可持续发展与健康饮食需求的双重驱动下,植物蛋白作为动物蛋白替代资源的重要性日益突出。然而,植物蛋白天然凝胶性能的不足严重制约了在高端食品及非食品领域的高附加值应用。本文旨在系统评述近年来植物蛋白凝胶性能强化的主要策略与作用机理研究进展,为开发高性能植物蛋白制品及相关理论研究提供参考,以推动其在更广泛领域的创新应用,助力可持续食品与材料体系的发展。为此,本研究系统检索了Web of Science、ScienceDirect、PubMed及CNKI数据库(2015—2025年),以“植物蛋白凝胶”“物理改性”“酶法改性”“多糖复合”等为核心关键词进行组合检索,并通过文献追溯与引用追踪补充关键文献,经筛选后纳入高质量研究进行系统梳理与分析。文章围绕植物蛋白凝胶的形成基础、多维评价方法与性能强化策略展开分析。重点剖析了3大类强化策略:物理改性(如热、超声、高压处理),化学与生物酶法改性(酰化、糖基化、转谷氨酰胺酶交联),多组分复合策略(与多糖、多酚结合)。此外,进一步探讨了深共晶溶剂工程、双网络/互穿网络结构、4D打印智能凝胶及导电/自愈合凝胶等新兴设计策略。这些策略分别通过能量输入、精准共价修饰与分子间互作,显著提升了凝胶的强度、稳定性和功能多样性,标志着该领域正从“被动的性能改良”转向“主动的功能创造”。不过,从实验室走向产业化仍面临平衡感官与营养、克服原料差异与工艺放大瓶颈等核心挑战。未来仍需深化凝胶化动力学的原位解析与凝胶性能的理性设计研究,推动多种策略的智能化集成,挖掘非传统植物蛋白资源(如微藻蛋白、土豆蛋白、藜麦蛋白等)并建立其改性策略与应用场景的匹配关系。通过跨学科协同与“产学研”融合,植物蛋白凝胶有望在生物医学、柔性电子及循环经济材料等领域发挥关键作用,为可持续食品与材料体系提供重要支撑。