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DUAL FUNCTIONALS OF SAID-BZIER TYPE GENERALIZED BALL BASES OVER TRIANGLE DOMAIN AND THEIR APPLICATION
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作者 Wu Hongyi 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2006年第1期96-106,共11页
A family of Said-Bézier type generalized Ball (SBGB) bases and surfaces with a parameter H over triangular domain is introduced,which unifies Bézier surface and Said-Ball surface and includes several inter... A family of Said-Bézier type generalized Ball (SBGB) bases and surfaces with a parameter H over triangular domain is introduced,which unifies Bézier surface and Said-Ball surface and includes several intermediate surfaces. To convert different bases and surfaces,the dual functionals of bases are presented. As an application of dual functionals,the subdivision formulas for surfaces are established. 展开更多
关键词 Bézier basis Said-Bézier type generalized Ball (SBGB) basis triangular domain dual functional subdivision formula.
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Enhancement of the CO_(2)adsorption and hydrogenation to CH_(4)capacity of Ru–Na–Ca/γ–Al_(2)O_(3)dual function material by controlling the Ru calcination atmosphere
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作者 Alejandro Bermejo-López Beñat Pereda-Ayo +2 位作者 Jon A.Onrubia-Calvo JoséA.González-Marcos Juan R.González-Velasco 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2024年第6期292-305,共14页
Integrated CO_(2)capture and utilization(ICCU)technology requires dual functional materials(DFMs)to carry out the process in a single reaction system.The influence of the calcination atmosphere on efficiency of 4%Ru-8... Integrated CO_(2)capture and utilization(ICCU)technology requires dual functional materials(DFMs)to carry out the process in a single reaction system.The influence of the calcination atmosphere on efficiency of 4%Ru-8%Na_(2)CO_(3)-8%CaO/γ-Al_(2)O_(3)DFM is studied.The adsorbent precursors are first co-impregnated onto alumina and calcined in air.Then,Ru precursor is impregnated and four aliquotes are subjected to different calcination protocols:static air in muffle or under different mixtures(10%H_(2)/N_(2),50%H_(2)/N_(2)and N_(2))streams.Samples are characterized by XRD,N_(2)adsorption-desorption,H_(2)chemisorption,TEM,XPS,H_(2)-TPD,H_(2)-TPR,CO_(2)-TPD and TPSR.The catalytic behavior is evaluated,in cycles of CO_(2)adsorption and hydrogenation to CH_(4),and temporal evolution of reactants and products concentrations is analyzed.The calcination atmosphere influences the physicochemical properties and,ultimately,activity of DFMs.Characterization data and catalytic performance discover the acccomodation of Ru nanoparticles disposition and basic sites is mostly influencing the catalytic activity.DFM calcined under N_(2)flow(RuNaCa-N_(2))shows the highest CH_(4)production(449μmol/g at 370℃),because a well-controlled decomposition of precursors which favors the better accomodation of adsorbent and Ru phases,maximizing the specific surface area,the Ru-basic sites interface and the participation of different basic sites in the CO_(2)methanation reaction.Thus,the calcination in a N_(2)flow is revealed as the optimal calcination protocol to achieve highly efficient DFM for integrated CO_(2)adsorption and hydrogenation applications. 展开更多
关键词 CO_(2)methanation Integrated CO_(2)capture and utilization(ICCU) dual functional material(DFM) Ru calcination atmosphere
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Engineering nanoparticle structure at synergistic Ru-Na interface for integrated CO_(2)capture and hydrogenation
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作者 Hanzi Liu Ling Cen +3 位作者 Xinlin Xie Lei Liu Zhao Sun Zhiqiang Sun 《Journal of Energy Chemistry》 2025年第1期779-791,共13页
The development of dual functional material for cyclic CO_(2)capture and hydrogenation is of great significance for converting diluted CO_(2)into valuable fuels,but suffers from kinetic limitation and deactivation of ... The development of dual functional material for cyclic CO_(2)capture and hydrogenation is of great significance for converting diluted CO_(2)into valuable fuels,but suffers from kinetic limitation and deactivation of adsorbent and catalyst.Herein,we engineered a series of RuNa/γ-Al_(2)O_(3)materials,varying the size of ruthenium from single atoms to clusters/nanoparticles.The coordination environment and structure sensitivity of ruthenium were quantitatively investigated at atomic scale.Our findings reveal that the reduced Ru nanoparticles,approximately 7.1 nm in diameter with a Ru-Ru coordination number of 5.9,exhibit high methane formation activity and selectivity at 340°C.The Ru-Na interfacial sites facilitate CO_(2)migration through a deoxygenation pathway,involving carbonate dissociation,carbonyl formation,and hydrogenation.In-situ experiments and theoretical calculations show that stable carbonyl intermediates on metallic Ru nanoparticles facilitate heterolytic C–O scission and C–H bonding,significantly lowering the energy barrier for activating stored CO_(2). 展开更多
关键词 CO_(2)capture HYDROGENATION Ru-Na interface dual functional material Reaction mechanism
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Critical Bimetallic Phosphide Layer Enables Fast Electron Transfer and Extra Energy Supply for Flexible Quasi‑Solid‑State Zinc Batteries
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作者 Leixin Wu Linfeng Lv +15 位作者 Yibo Xiong Wenwu Wang Xiaoqiao Liao Xiyao Huang Ruiqi Song Zhe Zhu Yixue Duan Lei Wang Zeyu Ma Jiangwang Wang Fazal ul Nisa Kai Yang Muhammad Tahir Longbing Qu Wenlong Cai Liang He 《Nano-Micro Letters》 2025年第11期136-154,共19页
Nickel-based cathodes in aqueous nickel-zinc batteries typically suffer from sluggish reaction kinetics and limited energy density.In situ introduction of metal phosphides and rational construction of heterostructures... Nickel-based cathodes in aqueous nickel-zinc batteries typically suffer from sluggish reaction kinetics and limited energy density.In situ introduction of metal phosphides and rational construction of heterostructures can effectively promote electron/ion transport.However,the complex evolution of phosphidation and intractable phosphidizing degree greatly affect the composition of active phase,active sites,charge transfer rate,and ion adsorption strength of cathodes.Herein,the critical bimetallic phosphide layer(CBPL)is constructed on the NiCo-layered double hydroxide(NiCo-LDH)skeleton by a controllable anion-exchange strategy,yielding a novel nanohybrid cathode(NiCo-P1.0,1.0 representing the mass ratio of Na_(2)H_(2)PO_(2)to NiCo-LDH).The high-conductivity CBPL with the inner NiCo-LDH forms extensive heterostructures,effectively regulating the electronic structure via charge transfer,thereby improving electrical conductivity.Remarkably,the CBPL exhibits unexpected electrochemical activity and synergizes with NiCo-LDH for electrode reactions,ultimately delivering extra energy.Benefiting from the bifunctional CBPL,NiCo-P1.0 delivers an optimal capacity of 286.64 mAh g^(−1)at 1C(1C=289 mAh g^(−1))and superb rate performance(a capacity retention of 72.22%at 40C).The assembled NiCo-P1.0//Zn battery achieves ultrahigh energy/power density(503.62 Wh kg^(−1)/18.62 kW kg^(−1),based on the mass loading of active material on the cathode),and the flexible quasi-solid-state pouch cell validates its practicality.This work demonstrates the superiority of bifunctional CBPL for surface modification,providing an effective and scalable compositing strategy in achieving high-performance cathodes for aqueous batteries. 展开更多
关键词 Bimetallic phosphide layer dual functionality Fast electron transfer Energy supply Flexible quasi-solid-state batteries
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Enhanced C_(2)H_(2)/CO_(2) separation in tetranuclear Cu(Ⅱ)cluster-based metal-organic frameworks by adjusting divider length of pore space partition
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作者 Fahui Xiang Lu Li +9 位作者 Zhen Yuan Wuji Wei Xiaoqing Zheng Shimin Chen Yisi Yang Liangji Chen Zizhu Yao Jianwei Fu Zhangjing Zhang Shengchang Xiang 《Chinese Chemical Letters》 2025年第3期550-554,共5页
Achieving efficient adsorption and separation of C_(2)H_(2)/CO_(2)mixtures is a goal that people have always pursued to improve the situation of high energy consumption brought by traditional separation technologies i... Achieving efficient adsorption and separation of C_(2)H_(2)/CO_(2)mixtures is a goal that people have always pursued to improve the situation of high energy consumption brought by traditional separation technologies in industry today.High-nuclearity metal cluster-based MOFs with different functionalities are promising for this separation,but it is a complicated and difficult task to precisely control their structures.The strategy of pore-space partition(PSP)is a powerful way to construct this type MOFs,which has the characteristic of isostructural relationship,and can be resulted in a similar performance for them.Therefore,it is an interesting work to explore the effect of MOFs property by adjusting the size of PSP dividers.Herein,three tetranuclear Cu(Ⅱ)cluster-based MOFs(FJU-112/113/114)with dual functionalities has been successfully obtained by PSP strategy with various lengths of divider units.With the highest microporosity and unique functional site,FJU-114 realized a good improvement in the adsorption and separation performance of C_(2)H_(2)/CO_(2).The gas adsorption and lab-scale C_(2)H_(2)/CO_(2)breakthrough experiments demonstrated that FJU-114 exhibits the highest adsorption uptake of 77 cm^(3)/g for C_(2)H_(2),and shows the best separation factor of 4.2 among three MOFs.The GCMC simulation reveals that a stronger adsorption binding site of C_(2)H_(2)in FJU-114a located in the cage II near the unchanged tetranuclear copper node,combined with its high microporosity to achieve the effect of dual functionalities for the improvement performance of C_(2)H_(2)adsorption and separation. 展开更多
关键词 Metal-organic frameworks dual functionalities Pore space partition C_(2)H_(2)/CO_(2) separation Divider length adjustment
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1,n-Thiosulfonylation using thiosulfonates as dual functional reagents 被引量:1
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作者 Danhua Ge Jia-Wei Chen +2 位作者 Pei Xu Jinyin Pan Xue-Qiang Chu 《Chinese Chemical Letters》 SCIE CAS CSCD 2022年第11期4732-4739,共8页
In recent years,the direct introduction of sulfonyl and sulfenyl groups into unsaturated substrates by using thiosulfonates as unique dual functional reagents has inarguably provided chemists a new platform for the di... In recent years,the direct introduction of sulfonyl and sulfenyl groups into unsaturated substrates by using thiosulfonates as unique dual functional reagents has inarguably provided chemists a new platform for the diverse synthesis of important S-containing derivatives.These 1,n-thiosulfonylation reactions usually feature simple procedures,100%atom economy,and high regioselectivity.This review focuses on the recent advancements in the transformations of thiosulfonates through 1,n-thiosulfonylation involving the formation of two distinct C-S bonds under transition-metal-catalyzed or metal-free conditions,where thiosulfonates act as both a sulfonyl and a sulfenyl component. 展开更多
关键词 Thiosulfonylation Thiosulfonates dual functional reagents Difunctionalization Atomic economy
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Standard Dual Quaternion Optimization and Its Applications in Hand-Eye Calibration and SLAM 被引量:1
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作者 Liqun Qi 《Communications on Applied Mathematics and Computation》 EI 2023年第4期1469-1483,共15页
Several common dual quaternion functions,such as the power function,the magnitude function,the 2-norm function,and the kth largest eigenvalue of a dual quaternion Hermitian matrix,are standard dual quaternion function... Several common dual quaternion functions,such as the power function,the magnitude function,the 2-norm function,and the kth largest eigenvalue of a dual quaternion Hermitian matrix,are standard dual quaternion functions,i.e.,the standard parts of their function values depend upon only the standard parts of their dual quaternion variables.Furthermore,the sum,product,minimum,maximum,and composite functions of two standard dual functions,the logarithm and the exponential of standard unit dual quaternion functions,are still standard dual quaternion functions.On the other hand,the dual quaternion optimization problem,where objective and constraint function values are dual numbers but variables are dual quaternions,naturally arises from applications.We show that to solve an equality constrained dual quaternion optimization(EQDQO)problem,we only need to solve two quaternion optimization problems.If the involved dual quaternion functions are all standard,the optimization problem is called a standard dual quaternion optimization problem,and some better results hold.Then,we show that the dual quaternion optimization problems arising from the hand-eye calibration problem and the simultaneous localization and mapping(SLAM)problem are equality constrained standard dual quaternion optimization problems. 展开更多
关键词 Standard dual quaternion functions dual quaternion optimization Quaternion optimization Hand-eye calibration Simultaneous localization and mapping(SLAM)
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Bioactive glass sol as a dual function additive for chitosan-alginate hybrid scaffold 被引量:2
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作者 Huihui Ren Yang Cui +1 位作者 Ailing Li Dong Qiu 《Chinese Chemical Letters》 SCIE CAS CSCD 2018年第3期395-398,共4页
Bioactive glass-chitosan-alginate hybrid scaffolds (BG-C-A scaffolds) were fabricated using BG sol as a dual function additive, which behaves as both bioactive inorganic phase to confer the bioactivity and cross-lin... Bioactive glass-chitosan-alginate hybrid scaffolds (BG-C-A scaffolds) were fabricated using BG sol as a dual function additive, which behaves as both bioactive inorganic phase to confer the bioactivity and cross-linker to improve the structural stability and mechanical properties. The microstructure, physicochemical and mechanical properties, in vitro bioactivity and cellular biocompatibility of the scaffolds were investigated. The results indicated that BG component was successfully incorporated into the BG-C-A scaffolds through a facile BG sol-immersing method and the original interconnected microstructure could be well preserved. The obtained BG-C-A scaffolds showed improved mechanical properties and structural stability as compared to C-A scaffolds. At the same time, they presented excellent in vitro bioactivity and cellular compatibility. All these results demonstrated that these BG-C-A scaffolds have promising potential for tissue engineering. 展开更多
关键词 Bioactive glass sol Chitosan Alginate dual function additive Bioactivity
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Dual-functional pyrene implemented mesoporous silicon material used for the detection and adsorption of metal ions
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作者 Jing Huang Honghui Cai +3 位作者 Qian Zhao Yunpeng Zhou Haibo Liu Jing Wang 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2023年第8期108-117,共10页
A fluorescent active organic–inorganic hybrid material Py N-SBA-15 was synthesized by implementing pyrene derivatives into mesoporous SBA-15 silica.Py N-SBA-15 had detection and removal functionalities toward Al^(3+)... A fluorescent active organic–inorganic hybrid material Py N-SBA-15 was synthesized by implementing pyrene derivatives into mesoporous SBA-15 silica.Py N-SBA-15 had detection and removal functionalities toward Al^(3+),Cu^(2+),and Hg^(2+).On the one hand,Py N-SBA-15 was used as a fluorescence sensor and displayed high sensitivity toward Al^(3+),Cu^(2+),and Hg^(2+)cations (limit of detection:8.0×10^(-7),1.1×10^(-7),and 2.9×10^(-6)mol·L^(–1),respectively) among various analytes with“turn-off”response.On the other hand,the adsorption studies for these toxic analytes (Cu^(2+),Hg^(2+),and Al^(3+)) showed that the ion removal capacity could reach up to 45,581,and 85 mg·g^(-1),respectively.Moreover,the Langmuir isotherm models were better fitted with the adsorption data,indicating that the adsorption was mono-layer adsorption.Kinetic analysis revealed that the adsorption process was well described by the pseudo-second-order kinetic model for Cu^(2+)and Hg^(2+)and pseudo-first-order kinetic model for Al^(3+).The prepared silica material could be reused in four recycles without significantly decreasing its adsorption capacity.Therefore,the Py N-SBA-15 material can serve as a promising candidate for the simultaneous rapid detection and efficient adsorption of metal ions. 展开更多
关键词 dual function Nanomaterials Mesoporous silica Metal ions Detection and adsorption
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Perturbation Theory for Dual Cosine Function(Ⅱ)—Time-dependent Perturbation in the Sun-reflexive Case
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作者 丁天彪 《Chinese Quarterly Journal of Mathematics》 CSCD 1996年第2期82-84,共3页
In this paper,we proved that the infinitesimal generator of a strongly continuous cosine operator function is preserved under the time-dependent perturbation in the sun-reflexive case,where the perturbed operator is ... In this paper,we proved that the infinitesimal generator of a strongly continuous cosine operator function is preserved under the time-dependent perturbation in the sun-reflexive case,where the perturbed operator is a bounded linear operator from X into a bigger space Xθ(not X),then the corresponding 2-order abstract Cauchy problem is uniformly well-posed. 展开更多
关键词 dual cosine operator function time-dependent perturbation θ-reflexivity
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FURTHER STUDY ON A DUAL ALGORITHM
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作者 HeSuxiang HanHua 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2005年第2期243-251,共9页
The dual algorithm for minimax problems is further studied in this paper.The resulting theoretical analysis shows that the condition number of the corresponding Hessian of the smooth modified Lagrange function with ch... The dual algorithm for minimax problems is further studied in this paper.The resulting theoretical analysis shows that the condition number of the corresponding Hessian of the smooth modified Lagrange function with changing parameter in the dual algorithm is proportional to the reciprocal of the parameter,which is very important for the efficiency of the dual algorithm.At last,the numerical experiments are reported to validate the analysis results. 展开更多
关键词 dual algorithm smooth modified Lagrange function condition number numerical result.
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Photon-triggered pyroptosis and ferroptosis dual-functional nanoplatform for cancer immunotherapy
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作者 Quansheng Cheng Qingcheng Wang Songnan Qu 《Light(Science & Applications)》 2025年第4期880-883,共4页
A dual-functional nanoplatform is demonstrated that is found to have the characteristics of cancer cell targeting,pH response,near-infrared fluorescence imaging,and lysosome targeting.It can simultaneously achieve pyr... A dual-functional nanoplatform is demonstrated that is found to have the characteristics of cancer cell targeting,pH response,near-infrared fluorescence imaging,and lysosome targeting.It can simultaneously achieve pyroptosis and ferroptosis under the mediation of photons for cancer immunotherapy. 展开更多
关键词 photon triggered cancer cell targetingph responsenear infrared ferroptosis cancer immunotherapy PYROPTOSIS dual functional nanoplatform lysosome targetingit cancer cell targeting
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An Extension to the Said-Type Generalized Ball Basis Functions
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作者 Xinjue WANG Jieqing TAN 《Journal of Mathematical Research with Applications》 CSCD 2018年第6期609-622,共14页
In this paper, we present a general approach to the construction of the Said-type generalized Ball basis functions. The advantage of our approach lies in the fact that it can be used to derive the expressions for poly... In this paper, we present a general approach to the construction of the Said-type generalized Ball basis functions. The advantage of our approach lies in the fact that it can be used to derive the expressions for polynomials of not only odd degrees but also even degrees in terms of the Said-type generalized Ball basis functions. We then define dual functionals for the Said-type generalized Ball basis in a very natural manner and bring to light the integral property of the Said-type generalized Ball basis functions. Last but not least, new polynomial basis functions are defined which include the Said-type generalized Ball basis functions as their special case, and the corresponding dual functionals and Marsden-like identity are obtained. 展开更多
关键词 generalized Ball basis dual functionals Marsden-like identity integral property
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An efficient and reusable bimetallic Ni_3Fe NPs@C catalyst for selective hydrogenation of biomass-derived levulinic acid toγ-valerolactone 被引量:7
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作者 Haojie Wang Chun Chen +2 位作者 Haimin Zhang Guozhong Wang Huijun Zhao 《Chinese Journal of Catalysis》 SCIE EI CAS CSCD 北大核心 2018年第10期1599-1607,共9页
Bimetallic nanostructures have attracted great interest as efficient catalyst to enhance activity,selectivity and stability in catalytical conversion.Herein,we report a facile one‐pot carbothermal route to in‐situ c... Bimetallic nanostructures have attracted great interest as efficient catalyst to enhance activity,selectivity and stability in catalytical conversion.Herein,we report a facile one‐pot carbothermal route to in‐situ controllable synthesize heterogeneous bimetallic Ni3Fe NPs@C nanocatalyst.The X‐ray diffraction,transmission electron microscopy,X‐ray photoelectron spectroscopy and N2 adsorption‐description results reveal that the Ni3Fe alloy nanoparticles are evenly embedded in carbon matrix.The as‐prepared Ni3Fe NPs@C catalyst shows excellent selective hydrogenation catalytic performance toward the conversion of levulinic acid(LA)toγ‐valerolactone(GVL)via both direct hydrogenation(DH)and transfer hydrogenation(TH).In DH of LA,the bimetallic catalyst achieved a 93.8%LA conversion efficiency with a 95.5%GVL selectivity and 38.2 mmol g–1 h–1 GVL productivity(under 130°C,2MPa H2 within 2 h),which are 6 and 40 times in comparison with monometallic Ni NPs@C and Fe NPs@C catalysts,respectively.In addition,the identical catalyst displayed a full conversion of LA with almost 100%GVL selectivity and 167.1 mmol g–1 h–1 GVL productivity at 180°C within 0.5 h in TH of LA.Under optimal reaction conditions,the DH and TH catalytic performance of 500‐Ni3Fe NPs@C(3:1)catalyst for converting LA to GVL is comparable to the state‐of‐the‐art noble‐based catalysts.The demonstrated capability of bimetallic catalyst design approach to introduce dual‐catalytic functionality for DH and TH reactions could be adoptable for other catalysis processes. 展开更多
关键词 Levulinic acid γ‐valerolactone Bimetallic catalyst HYDROGENATION dual‐catalytic functionality
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Rough law generation and its separation-recognition 被引量:2
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作者 Li Dongya Ren Xuefang Shi Kaiquan 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第6期1239-1246,共8页
By using function S-rough sets(function singular rough sets), this paper gives rough law generation and the theorem of rough law generation.Based on these results above, the paper proposes rough law separation, the ... By using function S-rough sets(function singular rough sets), this paper gives rough law generation and the theorem of rough law generation.Based on these results above, the paper proposes rough law separation, the theorem of rough law separation, the compound generation theorem of rough law bands, and the principle of rough law bands.In the end, an application of rough law separation in recognizing the risk law of profit is presented. 展开更多
关键词 function one-directional S-rough set dual of function one-directional S-rough set rough law law separation the theorem of law separation the principle of rough law band application.
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■-law collision and system state recognition 被引量:1
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作者 Shi Kaiquan Chen Hui 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第3期509-514,共6页
Using dual function one direction S-rough sets, this article gives the f-law, the F-law, law distance and the concept of system law collided by the F-law. The characteristics presented by the system law collided by th... Using dual function one direction S-rough sets, this article gives the f-law, the F-law, law distance and the concept of system law collided by the F-law. The characteristics presented by the system law collided by the F-law, the recognition of these characteristics and recognition criterion are also proposed. The dual function one direction S-rough sets is one of the basic forms of function S-rough sets. Its basic theory and application in the study of system law collision are reviewed. 展开更多
关键词 dual function one direction S-rough sets F-law COLLISION characteristic recognition recognition criterion applications.
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Facile wet-chemical fabrication of bi-functional coordination polymer nanosheets for high-performance energy storage and anti-corrosion engineering
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作者 Minjie Shi Nianting Chen +2 位作者 Yue Zhao Cheng Yang Chao Yan 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2023年第7期118-127,共10页
Organic materials are of great interest in various applications owing to their intrinsic designability,molecular controllability,ease of synthesis,and ecological sustainability.In this work,a facile and mild wet-chemi... Organic materials are of great interest in various applications owing to their intrinsic designability,molecular controllability,ease of synthesis,and ecological sustainability.In this work,a facile and mild wet-chemical strategy was carried out to construct a conjugated Ni-BTA coordination polymer via the π-d hybridization with 1,2,4,5-benzenetetramine(BTA)as π-conjugated ligands and Ni^(2+)as metallic centers,which exhibits a unique two-dimensional nanosheet-like structure with available active sites,sufficient electrochemical activity,and multi-electron redox capability.On the one hand,the as-prepared Ni-BTA coordination polymer as electrode material exhibits a rapid,reversible,and efficient energy storage behavior with a large reversible capacity of 198 mA·h·g^(-1)at 1 A·g^(-1) and a high-rate capability of 150 mA·h·g^(-1) at 20 A·g^(-1) in alkali-ion aqueous electrolyte,which are further demonstrated by the in-situ Raman investigation.On the other hand,the Ni-BTA coordination polymer as anti-corrosion additive was introduced into the epoxy resin to achieve a Ni-BTA epoxy coating,which shows a long-term anticorrosion performance with a low corrosion rate of 4.62×10_(-6) mm·a^(-1) and a high corrosion inhibition efficiency of 99.86%,suggesting its great engineering potential as the bi-functional organic material for high-performance energy storage and corrosion protection. 展开更多
关键词 Organic compounds NANOSTRUCTURE dual functionality Energy storage Corrosion protection
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EXISTENCE OF SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS AND HARDY TERMS
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作者 韩丕功 《Acta Mathematica Scientia》 SCIE CSCD 2005年第3期533-544,共12页
This paper deals with the existence of solutions to the elliptic equation-△u-μ/|x|2=λu +|u|2*-2u + f(x,u) in Ω,u = 0 on (?)Ω, where Ω is a bounded domain in RN(N≥3), 0 ∈ Ω 2*=2N/N-2,λ> 0, λ (?) σμ,σμ... This paper deals with the existence of solutions to the elliptic equation-△u-μ/|x|2=λu +|u|2*-2u + f(x,u) in Ω,u = 0 on (?)Ω, where Ω is a bounded domain in RN(N≥3), 0 ∈ Ω 2*=2N/N-2,λ> 0, λ (?) σμ,σμ is the spectrum of the operator -△-μI/|x|2 with zero Dirichlet boundary condition, 0 <μ< μ-,μ-=(N-2)2/4, f(x,u)is an asymmetric lower order perturbation of |u|2* -1 at infinity. Using the dual variational methods, the existence of nontrivial solutions is proved. 展开更多
关键词 Semilinear elliptic equation dual variational functional critical point asymmetric nonlinearity
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EFFICIENT COMPUTATIONAL METHOD FOR TRANSIENT EM RESPONSE OF LARGE-LOOP SOURCE OVER LAYERED EARTH
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作者 Qi Youzheng Huang Ling +2 位作者 Zhao Haitao Fang Guangyou Yu Gang 《Journal of Electronics(China)》 2014年第3期187-192,共6页
Calculations of the ElectroMagnetic(EM) response produced by a large horizontal loop placed over layered medium are rather complex because its integral expression contains the product of two Bessel functions and has a... Calculations of the ElectroMagnetic(EM) response produced by a large horizontal loop placed over layered medium are rather complex because its integral expression contains the product of two Bessel functions and has a divergent term. In this paper, an improved fast Hankel and Gaver-Stehfest transforms are introduced to solve the strong-oscillation and slow-decay properties of the integrand, where one Bessel function in the product is substituted by a carefully chosen polynomial of high accuracy and the other used as the digital filter coefficients in the convolution integral. Comparisons prove the validity and the efficiency of the proposed method. 展开更多
关键词 Transient ElectroMagnetic(EM) method Circular loop Stratified earth dual Bessel functions
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Azimuthally-variant perfect vector beams for the control of arbitrary phase and polarization ring patterns
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作者 Andrea Vogliardi Gianluca Ruffato +2 位作者 Daniele Bonaldo Simone Dal Zilio Filippo Romanato 《Light(Science & Applications)》 2025年第7期1911-1922,共12页
Perfect vortices,recognized for their distinct ring profile that remains independent of the topological charge,present significant challenges in generation due to the precise control needed over both phase and polariz... Perfect vortices,recognized for their distinct ring profile that remains independent of the topological charge,present significant challenges in generation due to the precise control needed over both phase and polarization.In this work,we introduce and validate a new approach for generating these beams,allowing the selection of diffferent azimuthally-variant phase gradients and vector states,thereby enabling full control over the phase and polarization patterns of perfect vortices.Using dual-functional silicon metaoptics,we achieve the compact generation of a novel class of perfect vortices,termed azimuthally-variant perfect vector beams.The optical characterization of the generated beams,performed through a filtering method,confirms their intrinsic azimuthally-variant vectorial nature.These beams exhibit unique properties that promise valuable applications in optical tweezing,the manipulation of low-refractive-index particles,the trapping of cold atoms,and high-capacity communications. 展开更多
关键词 perfect vorticesrecognized phase control phase polarization patterns azimuthally variant perfect vector beams polarization control perfect vortices ring profile dual functional silicon metaoptics
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