In order to quantitatively analyze air traffic operation complexity,multidimensional metrics were selected based on the operational characteristics of traffic flow.The kernel principal component analysis method was ut...In order to quantitatively analyze air traffic operation complexity,multidimensional metrics were selected based on the operational characteristics of traffic flow.The kernel principal component analysis method was utilized to reduce the dimensionality of metrics,therefore to extract crucial information in the metrics.The hierarchical clustering method was used to analyze the complexity of different airspace.Fourteen sectors of Guangzhou Area Control Center were taken as samples.The operation complexity of traffic situation in each sector was calculated based on real flight radar data.Clustering analysis verified the feasibility and rationality of the method,and provided a reference for airspace operation and management.展开更多
Teleportation of a qubit with two partially entangled qubit states linking three nodes as quantum channels is extensively studied via the usual ancilla method. With the method two realization approaches, i.e., the nod...Teleportation of a qubit with two partially entangled qubit states linking three nodes as quantum channels is extensively studied via the usual ancilla method. With the method two realization approaches, i.e., the node progression approach and the global accumulation approach, are presented. Their resource consumptions, operation complexities, and el^ciencies axe evaluated and compared. It is found that the latter approach is better than the former one besides the error is partially self-corrected. The latter approach is further improved so that two merits are resultant. The improved version is compared with a similar protocol [M.Y. Wang and F.L. Yah, Eur. Phys. J. D 54 （2009） 111]. Their merits and additional costs are exposed.展开更多
In this article,we study complex symmetric Toeplitz operators on the Bergman space and the pluriharmonic Bergman space in several variables.Surprisingly,the necessary and sufficient conditions for Toeplitz operators t...In this article,we study complex symmetric Toeplitz operators on the Bergman space and the pluriharmonic Bergman space in several variables.Surprisingly,the necessary and sufficient conditions for Toeplitz operators to be complex symmetric on these two spaces with certain conjugations are just the same.Also,some interesting symmetry properties of complex symmetric Toeplitz operators are obtained.展开更多
In the present paper, we deal with the complex Szasz-Durrmeyer operators and study Voronovskaja type results with quantitative estimates for these operators attached to analytic functions of exponential growth on comp...In the present paper, we deal with the complex Szasz-Durrmeyer operators and study Voronovskaja type results with quantitative estimates for these operators attached to analytic functions of exponential growth on compact disks. Also, the exact order of approximation is found.展开更多
Flexible conductive fibers are essential for wearable electronics and smart electronic textiles.However,in complex operating conditions,conductive fibers will inevitably fracture or damage.Herein,we have developed an ...Flexible conductive fibers are essential for wearable electronics and smart electronic textiles.However,in complex operating conditions,conductive fibers will inevitably fracture or damage.Herein,we have developed an elastic conductive self-healable fiber(C-SHF),of which the electrical and mechanical properties can efficiently heal in a wide operating range,including room temperature,underwater,and low temperature.This advantage can be owed to the combination of reversible covalent imine bond and disulfide bond,as well as the instantaneous self-healing ability of liquid metal.The C-SHF,with stretchability,conductivity stability,and universal self-healing properties,can be used as an electrical signal transmission line at high strain and under different operating conditions.Besides,C-SHF was assembled into a double-layer capacitor structure to construct a self-healable sensor,which can effectively respond to pressure as a wearable motion detector.展开更多
In this paper,we first obtain the precise values of the univalent radius and the Bloch constant for harmonic mappings of the formL(f)=zfz-zfz,where f represents normalized harmonic mappings with bounded dilation.Then,...In this paper,we first obtain the precise values of the univalent radius and the Bloch constant for harmonic mappings of the formL(f)=zfz-zfz,where f represents normalized harmonic mappings with bounded dilation.Then,using these results,we present better estimations for the Bloch constants of certain harmonic mappings L(f),where f is a K-quasiregular harmonic or open harmonic.Finally,we establish three versions of BlochLandau type theorem for biharmonic mappings of the form L(f).These results are sharp in some given cases and improve the related results of earlier authors.展开更多
In this article, some properties of complex Wiener-It? multiple integrals and complex Ornstein-Uhlenbeck operators and semigroups are obtained. Those include Stroock’s formula, Hu-Meyer formula, Clark-Ocone formula, ...In this article, some properties of complex Wiener-It? multiple integrals and complex Ornstein-Uhlenbeck operators and semigroups are obtained. Those include Stroock’s formula, Hu-Meyer formula, Clark-Ocone formula, and the hypercontractivity of complex Ornstein-Uhlenbeck semigroups. As an application, several expansions of the fourth moments of complex Wiener-It? multiple integrals are given.展开更多
In this paper, we deal with the complex Baskakov-Szasz-Durrmeyer mixed operators and study Voronovskaja type results with quantitative estimates for these operators attached to analytic functions of exponential growth...In this paper, we deal with the complex Baskakov-Szasz-Durrmeyer mixed operators and study Voronovskaja type results with quantitative estimates for these operators attached to analytic functions of exponential growth in DR = {z ∈ C; ｜z｜ 〈 R}. Also, the exact order of approximation is found. The method used allows to construct complex Szasz-type and Baskakov-type approximation operators without involving the values on [0,∞）.展开更多
In the present article, we deal with the so-called overconvergence phenomenon in C of a slightly modified Post-Widder operator of real variable, that is with the extension of its approximation properties from the real...In the present article, we deal with the so-called overconvergence phenomenon in C of a slightly modified Post-Widder operator of real variable, that is with the extension of its approximation properties from the real axis in the complex plane.In this sense, error estimates in approximation and a quantitative Voronovskaya-type asymptotic formula are established.展开更多
The Meyer-König and Zeller operator is one of the most challenging operators. Sometimes the study of its properties will rely on the weighted approximation by Baskakov operator. In this paper, this relation i...The Meyer-König and Zeller operator is one of the most challenging operators. Sometimes the study of its properties will rely on the weighted approximation by Baskakov operator. In this paper, this relation is extended to complex space;the quantitative estimates and the Voronovskaja type results for analytic functions by complex Meyer-König and Zeller operators were obtained.展开更多
For a conjugation C on a separable,complex Hilbert space H,the set S_(C) of Csymmetric operators on H forms a weakly closed,selfadjoint,Jordan operator algebra.In this paper,the authors study S_(C) in comparison with ...For a conjugation C on a separable,complex Hilbert space H,the set S_(C) of Csymmetric operators on H forms a weakly closed,selfadjoint,Jordan operator algebra.In this paper,the authors study S_(C) in comparison with the algebra B(H)of all bounded linear operators on H,and obtain S_(C)-analogues of some classical results concerning B(H).The authors determine the Jordan ideals of S_(C) and their dual spaces.Jordan automorphisms of S_(C) are classified.The authors determine the spectra of Jordan multiplication operators on S_(C) and their different parts.It is proved that those Jordan invertible ones constitute a dense,path connected subset of S_(C).展开更多
Let C be a conjugation on a separable complex Hilbert space H.An operator T on H is said to be C-symmetric if CTC=-T^(*),and T is said to be Cskew symmetric if CTC=-T^(*).It is proved in this paper that each C-skew sy...Let C be a conjugation on a separable complex Hilbert space H.An operator T on H is said to be C-symmetric if CTC=-T^(*),and T is said to be Cskew symmetric if CTC=-T^(*).It is proved in this paper that each C-skew symmetric operator can be written as the sum of two commutators of C-symmetric operators.展开更多
The terrain in hilly and mountainous regions is characterized by its discontinuity,constant undulations,and complex environment,leading to significant vibrations and potential tipping over of operating machinery.Tradi...The terrain in hilly and mountainous regions is characterized by its discontinuity,constant undulations,and complex environment,leading to significant vibrations and potential tipping over of operating machinery.Traditional crawler chassis face challenges when encountering uneven terrain,with one side possibly being suspended and causing tipping.This study introduces a crawler chassis with a split structure to address this issue.The split design allows for crossing obstacles on one side,enabling better adaptation to the dynamic terrain of hilly and mountainous areas,ultimately maximizing the chassis’performance.Through research,it was found that the split structure effectively prevents single-sided crawler suspension,allowing for a maximum longitudinal slope angle of 42.3°,transverse slope angle of 27.38°,and a maximum ravine width of 445 mm.The prototype testing confirmed that the chassis can handle slopes of up to 41°on both sides and 30°on one side,with a maximum ravine width of 430 mm.Considering that the typical cultivated land angle in hilly and mountainous regions ranges from 2°to 15°,the designed chassis is well-suited for driving operations in underground farmland within such areas.展开更多
An operator T on a separable,infinite dimensional,complex Hilbert space H is called conjugate normal if C|T|C=|T^(*)| for some conjugate linear,isometric involution C on H.This paper focuses on the invariance of conju...An operator T on a separable,infinite dimensional,complex Hilbert space H is called conjugate normal if C|T|C=|T^(*)| for some conjugate linear,isometric involution C on H.This paper focuses on the invariance of conjugate normality under similarity.Given an operator T,we prove that every operator A similar to T is conjugate normal if and only if there exist complex numbersλ_(1),λ_(2)such that(T-λ_(1))(T-λ_(2))=0.展开更多
A printable artificial muscle assembled from biomolecular motors,which we have recently developed,showed great potential in overcoming the design limitations of conventional biohybrid robots as a new bioactuator.Chara...A printable artificial muscle assembled from biomolecular motors,which we have recently developed,showed great potential in overcoming the design limitations of conventional biohybrid robots as a new bioactuator.Characterizing its contractility for extending its applicability is important.However,conventional measurement methods are composed of complex operations with poor reproducibility,flexibility,and real-time responsiveness.This study presents a new method for measuring the contractile force generated by artificial muscles.A measurement system was constructed,wherein artificial muscles were patterned by UV laser scanning in an oil-sealed microchamber,and the contractile force was measured in real time using a microforce sensor extended by a 3D-printed microcantilever.The measurement accuracy of the sensor was ensured through calibration and correction.For demonstration purposes,a series of contractile measurements were carried out using the proposed system.The relationship between contractile force and the dimensions of the activation space of the artificial muscles,as well as the tensile properties of the contracted muscle chain were evaluated.The results will help characterize the contractile properties of the artificial muscle and lay the foundations for its further application in biohybrid robotics.展开更多
基金co-supported by the National Natural Science Foundation of China(No.61304190)the Fundamental Research Funds for the Central Universities of China(No.NJ20150030)the Youth Science and Technology Innovation Fund(No.NS2014067)
文摘In order to quantitatively analyze air traffic operation complexity,multidimensional metrics were selected based on the operational characteristics of traffic flow.The kernel principal component analysis method was utilized to reduce the dimensionality of metrics,therefore to extract crucial information in the metrics.The hierarchical clustering method was used to analyze the complexity of different airspace.Fourteen sectors of Guangzhou Area Control Center were taken as samples.The operation complexity of traffic situation in each sector was calculated based on real flight radar data.Clustering analysis verified the feasibility and rationality of the method,and provided a reference for airspace operation and management.
基金Supported by the program for New Century Excellent Talents at the University of China under Grant No.NCET-06-0554the National Natural Science Foundation of China under Grant Nos.10975001,60677001,10747146,and 10874122+3 种基金the science-technology fund of Anhui province for outstanding youth under Grant No.06042087 the general fund of the educational committee of Anhui province under Grant No.2006KJ260Bthe Talent Foundation of High Education of Anhui Province for Outstanding Youth under Grant No.2009SQRZ018the Natural Science Foundation of Guangdong Province under Grant Nos.06300345 and 7007806
文摘Teleportation of a qubit with two partially entangled qubit states linking three nodes as quantum channels is extensively studied via the usual ancilla method. With the method two realization approaches, i.e., the node progression approach and the global accumulation approach, are presented. Their resource consumptions, operation complexities, and el^ciencies axe evaluated and compared. It is found that the latter approach is better than the former one besides the error is partially self-corrected. The latter approach is further improved so that two merits are resultant. The improved version is compared with a similar protocol [M.Y. Wang and F.L. Yah, Eur. Phys. J. D 54 （2009） 111]. Their merits and additional costs are exposed.
基金supported in part by the National Natural Science Foundation of China(11201331,11771323)。
文摘In this article,we study complex symmetric Toeplitz operators on the Bergman space and the pluriharmonic Bergman space in several variables.Surprisingly,the necessary and sufficient conditions for Toeplitz operators to be complex symmetric on these two spaces with certain conjugations are just the same.Also,some interesting symmetry properties of complex symmetric Toeplitz operators are obtained.
文摘In the present paper, we deal with the complex Szasz-Durrmeyer operators and study Voronovskaja type results with quantitative estimates for these operators attached to analytic functions of exponential growth on compact disks. Also, the exact order of approximation is found.
文摘Flexible conductive fibers are essential for wearable electronics and smart electronic textiles.However,in complex operating conditions,conductive fibers will inevitably fracture or damage.Herein,we have developed an elastic conductive self-healable fiber(C-SHF),of which the electrical and mechanical properties can efficiently heal in a wide operating range,including room temperature,underwater,and low temperature.This advantage can be owed to the combination of reversible covalent imine bond and disulfide bond,as well as the instantaneous self-healing ability of liquid metal.The C-SHF,with stretchability,conductivity stability,and universal self-healing properties,can be used as an electrical signal transmission line at high strain and under different operating conditions.Besides,C-SHF was assembled into a double-layer capacitor structure to construct a self-healable sensor,which can effectively respond to pressure as a wearable motion detector.
基金supported by the Natural Science Foundation of Guangdong Province(2021A1515010058)。
文摘In this paper,we first obtain the precise values of the univalent radius and the Bloch constant for harmonic mappings of the formL(f)=zfz-zfz,where f represents normalized harmonic mappings with bounded dilation.Then,using these results,we present better estimations for the Bloch constants of certain harmonic mappings L(f),where f is a K-quasiregular harmonic or open harmonic.Finally,we establish three versions of BlochLandau type theorem for biharmonic mappings of the form L(f).These results are sharp in some given cases and improve the related results of earlier authors.
基金Supported by NSFC(11871079)NSFC (11731009)Center for Statistical Science,PKU
文摘In this article, some properties of complex Wiener-It? multiple integrals and complex Ornstein-Uhlenbeck operators and semigroups are obtained. Those include Stroock’s formula, Hu-Meyer formula, Clark-Ocone formula, and the hypercontractivity of complex Ornstein-Uhlenbeck semigroups. As an application, several expansions of the fourth moments of complex Wiener-It? multiple integrals are given.
文摘In this paper, we deal with the complex Baskakov-Szasz-Durrmeyer mixed operators and study Voronovskaja type results with quantitative estimates for these operators attached to analytic functions of exponential growth in DR = {z ∈ C; ｜z｜ 〈 R}. Also, the exact order of approximation is found. The method used allows to construct complex Szasz-type and Baskakov-type approximation operators without involving the values on [0,∞）.
文摘In the present article, we deal with the so-called overconvergence phenomenon in C of a slightly modified Post-Widder operator of real variable, that is with the extension of its approximation properties from the real axis in the complex plane.In this sense, error estimates in approximation and a quantitative Voronovskaya-type asymptotic formula are established.
基金NSF of China (11571089, 11871191) NSF of Hebei Province (2012205028+1 种基金 ZD2019053) Science foundation of Hebei Normal University
文摘The Meyer-König and Zeller operator is one of the most challenging operators. Sometimes the study of its properties will rely on the weighted approximation by Baskakov operator. In this paper, this relation is extended to complex space;the quantitative estimates and the Voronovskaja type results for analytic functions by complex Meyer-König and Zeller operators were obtained.
基金supported by the National Natural Science Foundation of China(Nos.12401149,12171195)the National Key Research and Development Program of China(No.2020YFA0714101).
文摘For a conjugation C on a separable,complex Hilbert space H,the set S_(C) of Csymmetric operators on H forms a weakly closed,selfadjoint,Jordan operator algebra.In this paper,the authors study S_(C) in comparison with the algebra B(H)of all bounded linear operators on H,and obtain S_(C)-analogues of some classical results concerning B(H).The authors determine the Jordan ideals of S_(C) and their dual spaces.Jordan automorphisms of S_(C) are classified.The authors determine the spectra of Jordan multiplication operators on S_(C) and their different parts.It is proved that those Jordan invertible ones constitute a dense,path connected subset of S_(C).
基金partly supported by the National Natural Science Foundation of China(Grant No.12i7195)by the National Key R&D Program(Grant No.2020YFA0714101).
文摘Let C be a conjugation on a separable complex Hilbert space H.An operator T on H is said to be C-symmetric if CTC=-T^(*),and T is said to be Cskew symmetric if CTC=-T^(*).It is proved in this paper that each C-skew symmetric operator can be written as the sum of two commutators of C-symmetric operators.
基金supported by the Basic Scientific Research Project of the Education Department of Liaoning Province(Grant No.LJ212410157007).
文摘The terrain in hilly and mountainous regions is characterized by its discontinuity,constant undulations,and complex environment,leading to significant vibrations and potential tipping over of operating machinery.Traditional crawler chassis face challenges when encountering uneven terrain,with one side possibly being suspended and causing tipping.This study introduces a crawler chassis with a split structure to address this issue.The split design allows for crossing obstacles on one side,enabling better adaptation to the dynamic terrain of hilly and mountainous areas,ultimately maximizing the chassis’performance.Through research,it was found that the split structure effectively prevents single-sided crawler suspension,allowing for a maximum longitudinal slope angle of 42.3°,transverse slope angle of 27.38°,and a maximum ravine width of 445 mm.The prototype testing confirmed that the chassis can handle slopes of up to 41°on both sides and 30°on one side,with a maximum ravine width of 430 mm.Considering that the typical cultivated land angle in hilly and mountainous regions ranges from 2°to 15°,the designed chassis is well-suited for driving operations in underground farmland within such areas.
基金partially supported by the CRC TRR 191:“Symplectic Structures in Geometry,Algebra and Dynamics”partially supported by Taiwan Ministry of Science of Technology project(Grant No.104-2628-M-001-003-MY2)+1 种基金the Golden-Jade fellowship of Kenda Foundationsupported by National Natural Science Foundation of China(Grant No.11501422)
文摘In this paper, we give an explicit formula for the Szego kernel for （0, q） forms on the Heisenberg group Hn＋1.
基金supported by the National Natural Science Foundation of China (Grant No.12171195).
文摘An operator T on a separable,infinite dimensional,complex Hilbert space H is called conjugate normal if C|T|C=|T^(*)| for some conjugate linear,isometric involution C on H.This paper focuses on the invariance of conjugate normality under similarity.Given an operator T,we prove that every operator A similar to T is conjugate normal if and only if there exist complex numbersλ_(1),λ_(2)such that(T-λ_(1))(T-λ_(2))=0.
基金partly funded by KAKENHI(nos.21H05880,21K18700,and 22H04951)New Energy and Industrial Technology Development Organization(NEDO).
文摘A printable artificial muscle assembled from biomolecular motors,which we have recently developed,showed great potential in overcoming the design limitations of conventional biohybrid robots as a new bioactuator.Characterizing its contractility for extending its applicability is important.However,conventional measurement methods are composed of complex operations with poor reproducibility,flexibility,and real-time responsiveness.This study presents a new method for measuring the contractile force generated by artificial muscles.A measurement system was constructed,wherein artificial muscles were patterned by UV laser scanning in an oil-sealed microchamber,and the contractile force was measured in real time using a microforce sensor extended by a 3D-printed microcantilever.The measurement accuracy of the sensor was ensured through calibration and correction.For demonstration purposes,a series of contractile measurements were carried out using the proposed system.The relationship between contractile force and the dimensions of the activation space of the artificial muscles,as well as the tensile properties of the contracted muscle chain were evaluated.The results will help characterize the contractile properties of the artificial muscle and lay the foundations for its further application in biohybrid robotics.
