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| 1 | ON THE DISTRIBUTION OF VALUES OF RANDOM DIRICHLET SERIES(II)显示文摘For certain Dirichlet series almost surely(a.s.)of order(R) ρ∈(0,∞)in the right-halfplane,a.s.every point of the imaginary axis is a Borel point of order ρ+1 and with no finiteexoeptional value. | 孙道椿 余家荣 | 1990 | Chinese Annals of Mathematics,Series B1990，11，1： | 15 |
| 2 | Implementation and security analysis of practical quantum secure direct communication显示文摘Rapid development of supercomputers and the prospect of quantum computers are posing increasingly serious threats to the security of communication.Using the principles of quantum mechanics,quantum communication offers provable security of communication and is a promising solution to counter such threats.Quantum secure direct communication(QSDC)is one important branch of quantum communication.In contrast to other branches of quantum communication,it transmits secret information directly.Recently,remarkable progress has been made in proof-of-principle experimental demonstrations of QSDC.However,it remains a technical feat to bring QSDC into a practical application.Here,we report the implementation of a practical quantum secure communication system.The security is analyzed in the Wyner wiretap channel theory.The system uses a coding scheme of concatenation of lowdensity parity-check(LDPC)codes and works in a regime with a realistic environment of high noise and high loss.The present system operates with a repetition rate of 1 MHz at a distance of 1.5 kilometers.The secure communication rate is 50 bps,sufficient to effectively send text messages and reasonably sized files of images and sounds. | Ruoyang Qi Zhen Sun Zaisheng Lin Penghao Niu Wentao Hao Liyuan Song Qin Huang Jiancun Gao Liuguo Yin Gui-Lu Long | 2019 | Light(Science & Applications)2019，8，1： | 15 |
| 3 | Lattice-Valued Proposition Logic(Ⅱ)显示文摘Lattice-ValuedPropositionLogic(Ⅱ)QinKeyun;XuYang(Dept.ofAppl.Mathematics,SouthwestJiaotongUniversity)Chengdu610031,ChinaLatti... | Qin Keyun Xu Yang( Dept. of Appl. Mathematics, Southwest Jiaotong University)Chengdu 610031,China | 1994 | Journal of Modern Transportation1994，11，1： | 13 |
| 4 | DEGREE OF APPROXIMATION BY SUPERPOSITIONS OF A SIGMOIDAL FUNCTION显示文摘In this paper we study the degree of approximation by superpositions of a sigmoidal function.We mainlyconsider the univariate case.If f is a continuous function,we prove that for any bounded sigmoidalfunction σ,dn,σ(f)≤‖σ‖ω(f,1/(n+1)).For the Heaviside function H(x),we prove that dn,H(f)≤ω(f,1/(2(n+1))).If f is a continuous funnction of bounded variation,we prove that dn,σ(f)≤‖σ‖/(n+1)V(f)and dn,H(f)≤1/(2(n+1))V(f).For he Heaviside function,the coefficient 1 and the approximation orders are the bestpossible.We compare these results with the classical Jackson and Bernstein theorems,and make some conjec-tures for further study. | Chen Debao (University of Texas at Austin,USA) | 1993 | Analysis in Theory and Applications1993，9，3： | 11 |
| 5 | THE EXISTENCE OF GLOBAL SOLUTION AND 'BLOW UP' PHENOMENON FOR A SYSTEM OF MULTI DIMENSIONAL SYMMETRIC REGULARIZED WAVE EQUATIONS显示文摘The existence and uniqueness of the global smooth solution to the initial-boundary valueproblem of a system of multi-dimensions SRWE are proved. The sufficient conditions of 'blowingup' of the solution are given. | 郭柏灵 | 1992 | Acta Mathematicae Applicatae Sinica1992，8，1： | 10 |
| 6 | Adaptive sliding-mode path following control system of the underactuated USV under the influence of ocean currents显示文摘The path-following control of the asymmetry underactuated unmanned surface vehicle(USV) under external disturbances such as unknown constant and irrational ocean currents is discussed, and an adaptive sliding-mode path-following control system is proposed, which comprises a path-variable updated law,a modified integral line-of-sight(ILOS) guidance law based on a time-varying lookahead distance and adaptive feedback linearizing controllers combined with sliding-mode technique. A more accurate USV model without the assumption of having diagonal inertia and damping matrices is first presented, aiming at improving the performance of the path-following control. Next, the coordinate transformation is adopted to decouple the sway dynamic from the rudder angle, and the path-following errors dynamics without non-singular problem are presented in the moving Frenet-Serret frame. Then, based on the cascaded theorem and the adaptive sliding-mode method, the adaptive control law of position errors and course error are designed, among which the lookahead distance and integral gain are all computed as different functions of cross-track error to estimate and compensate the sideslip angle caused by external disturbances adaptively. Finally, according to the Lyapunov and cascaded theorem, the control system proposed is proved to be uniform globally asymptotic stability(UGAS) and uniform semiglobal exponential stability(USGES) when the control objectives are all achieved. Simulation results illustrate the precision and high-quality performance of this new controller. | CHEN Xiao LIU Zhong ZHANG Jianqiang ZHOU Dechao DONG Jiao | 2018 | Journal of Systems Engineering and Electronics2018，29，6： | 8 |
| 7 | Multifunctional metasurfaces enabled by simultaneous and independent control of phase and amplitude for orthogonal polarization states显示文摘Monochromatic light can be characterized by its three fun dame ntal properties:amplitude,phase,and polarization.In this work,we propose a versatile,transmission-mode all-dielectric metasurface platform that can independently manipulate the phase and amplitude for two orthogonal states of polarization in the visible frequency range.For proof-o仁concept experimental demonstration,various single-layer metasurfaces composed of subwavelength-spaced titanium-dioxide nanopillars are designed,fabricated,and characterized to exhibit the ability of polarization-switchable multidimensional light-field manipulation,including polarization-switchable grayscale nanoprinting,nonuniform cylindrical lensing,and complex-amplitude holography.We envision the metasurface platform dem on strated here to open new possibilities toward creating compact multifunctional optical devices for applications in polarization optics,information encoding,optical data storage,and security. | Mingze Liu Wenqi Zhu Pengcheng Huo Lei Feng Maowen Song Cheng Zhang Lu Chen Henri JLezec Yanqing Lu Amit Agrawal Ting Xu | 2021 | Light(Science & Applications)2021，10，6： | 8 |
| 8 | A NOTE ON MODIFIED BASKAKOV TYPE OPERATORS显示文摘In the present paper, we define a new kind of positive linear operators and study the rate ofconvergence in simultaneous approximation. This operator being capable of providing better approxima-tion than modified Baskakov operators. | Vijay Gupta | 1994 | Analysis in Theory and Applications1994，10，3： | 7 |
| 9 | A Simple Approach to Bioconjugation at Diverse Levels: Metal-Free Click Reactions of Activated Alkynes with Native Groups of Biotargets without Prefunctionalization显示文摘Te efcient bioconjugation of functional groups/molecules to targeted matrix and bio-related species drives the great development of material science and biomedicine,while the dilemma of metal catalysis,uneasy premodifcation,and limited reaction efciency in traditional bioconjugation has restricted the booming development to some extent.Here,we provide a strategy for metal-free click bioconjugation at diverse levels based on activated alkynes.As a proof-of-concept,the abundant native groups including amine,thiol,and hydroxyl groups can directly react with activated alkynes without any modifcation in the absence of metal catalysis.Trough this strategy,high-efcient modifcation and potential functionalization can be achieved for natural polysaccharide,biocompatible polyethylene glycol(PEG),synthetic polymers,cell penetrating peptide,protein,fast whole-cell mapping,and even quick diferentiation and staining of Gram-positive bacteria,etc.Terefore,current metal-free click bioconjugation strategy based on activated alkynes is promising for the development of quick fuorescence labeling and functional modifcation of many targets and can be widely applied towards the fabrication of complex biomaterials and future in vivo labeling and detection. | Xianglong Hu Xueqian Zhao Benzhao He Zheng Zhao Zheng Zheng Pengfei Zhang Xiujuan Shi Ryan T.K.Kwok Jacky W.Y.Lam Anjun Qin Ben Zhong Tang | 2018 | Research2018，，1： | 7 |
| 10 | ON THE REPRESENTATION OF A LARGE EVEN INTEGER AS THE SUM OF A PRIME AND THE PRODUCT OF AT MOST TWO PRIMES显示文摘I For the sake of brevity, we denote the following proposition by (1,α): Every sufficiently large even integer is the sum of a prime and the product of at most α primes. Selberg’s method and some results in the theory of Dirichlet L-function have been employed by many mathematicians to prove the above proposition, for example, (1,5) (Pan Cheng-tung,); (1,4) (Wang Yuan, Pan Cheng-tung,); (1,3) The aim of the present note is to give a sketch of the proof of (1,2). Details will be published later elsewhere. | 陈景润 | 1966 | Chinese Science Bulletin1966，24，9： | 7 |
| 11 | A SIMPLE PROOF OF THE INEQUALITY FFD (L)≤11/9 OPT(L)+1, ■L FOR THE FFD BIN-PACKING ALGORITHM显示文摘The first fit decreasing (FFD) heuristic algorithm is one of the most famous and moststudied methods for an approximative solution of the bin-packing problem. For a list L, letOPT(L) denote the minimal number of bins into which L can be packed, and let FFD(L)denote the number of bins used by FFD. Johnson showed that for every list L, FFD(L)≤11/9OPT(L)+4. His proof required more than 100 pages. Later, Baker gave a much shorterand simpler proof for FFD(L)≤11/9OPT(L)+3. His proof required 22 pages. In this paper,we give a proof for FFD(L)≤11/9 OPT(L)+1. The proof is much simpler than the previousones. | 越民义 | 1991 | Acta Mathematicae Applicatae Sinica1991，7，4： | 6 |
| 12 | Miura-origami-inspired electret/triboelectric power generator for wearable energy harvesting with water-proof capability显示文摘One of the critical issues for electret/triboelectric devices is the poor charge viability and stability in humid environments.Herein,we propose a new origami-inspired“W-tube”-shaped triboelectric nanogenerator(W-TENG)with two thin-film electrets folded based on Miura-origami.The Miura-origami fold is capable of transforming flat materials with large surface areas into reduced and compressed complex 3D structures with parallelogram tessellations.The triboelectric power generation components can thus be hermetically sealed inside the“W-tube”to avoid contact with the external humid environment.Furthermore,the elastic nature of the Miura-origami fold endows the proposed W-TENG device with excellent deformability,flexibility,and stretchability.Therefore,it is capable of harvesting kinetic energy from various directions and forms of movement,including horizontal pressing,vertical tapping,and lateral bending.The compact,light weight,and self-rebounding properties of the origami structure also make it convenient for integration into wearable devices.Various parameters of the W-TENG are intensively investigated,including the number of power generation units,original height of the device,acceleration magnitude,excitation direction,and water-proof capability.Triggered by hand tapping impulse excitation in the horizontal and vertical directions,the instantaneous open-circuit voltages can reach 791 V and 116 V with remarkable optimum powers of 691μW at 50MΩand 220μW at 35 MΩ,respectively.The outcomes of this work demonstrate the fusion of the ancient art of origami,material science,and energy conversion techniques to realize flexible,multifunctional,and water-proof TENG devices. | Kai Tao Haiping Yi Yang Yang Lihua Tang Zhaoshu Yang Jin Wu Honglong Chang Weizheng Yuan | 2020 | Microsystems & Nanoengineering2020，6，1： | 6 |
| 13 | Inverse-designed photonic fibers and metasurfaces for nonlinear frequency conversion[Invited]显示文摘Typically, photonic waveguides designed for nonlinear frequency conversion rely on intuitive and established principles, including index guiding and bandgap engineering, and are based on simple shapes with high degrees of symmetry. We show that recently developed inverse-design techniques can be applied to discover new kinds of microstructured fibers and metasurfaces designed to achieve large nonlinear frequency-conversion efficiencies. As a proof of principle, we demonstrate complex, wavelength-scale chalcogenide glass fibers and gallium phosphide three-dimensional metasurfaces exhibiting some of the largest nonlinear conversion efficiencies predicted thus far,e.g., lowering the power requirement for third-harmonic generation by 104 and enhancing second-harmonic generation conversion efficiency by 107. Such enhancements arise because, in addition to enabling a great degree of tunability in the choice of design wavelengths, these optimization tools ensure both frequency-and phase-matching in addition to large nonlinear overlap factors. | CHAWIN SITAWARIN WEILIANG JIN ZIN LIN ALEJANDRO W.RODRIGUEZ | 2018 | Photonics Research2018，6，5： | 6 |
| 14 | A Universal Method Determining Hawking Effect in Spherically Symmetric or Plane-Symmetric Non-static Space-Times显示文摘A universal proof to the new method determining the location and the temperature of event horizons is given.The method is valid to every non-static spherically symmetric or plane-symmetric space-time.An additional term appears in the standard form of wave equation near the event horizon in the spherically symmetric case.The coefficient of this term is just the relative change rate of entropy of the black hole. | ZHAO Zheng | 1992 | Chinese Physics Letters1992，9，9： | 5 |
| 15 | RECURRENCE FOR THE GENERALIZED BIRTH-DEATH CHAINS IN A RANDOM ENVIRONMENT显示文摘This is a study of one dimensional generalized birth-death chains in a random environment (GBDIRE). We give two sufficient conditions of recurrence for GBDIRE. | 丁万鼎 | 1990 | Acta Mathematica Scientia1990，10，1： | 5 |
| 16 | Delamination process in cross-ply UHMWPE laminates under ballistic penetration显示文摘Cross-ply unidirectional laminates made of ultra-high molecular weight polyethylene fibers are widely used as components of bullet-proof vests.To simulate the delamination process of the material under penetration,we constructed a numerical mechanical model,which was validated by tests using 7.6239 mm rifle bullets penetrating laminates of different thicknesses.The results show that the delamination region is essentially diamond-shaped.The simulated delamination region is in good agreement with the experimental data.It is found that the delamination region increases with the compression modulus along the fiber direction.The delamination region increases when the shear strength between the fabric layers decreases;However,it is little influenced by the normal strength.The delamination region of the front face of the laminate is little influenced by the failure strain of the material and the initial velocity of the bullet.The delamination region of the back face increases with the failure strain and decreases with the initial velocity. | Gen-lin Mo Qian-wen Ma Yong-xi Jin Wen-min Yan Zhong-xin Li Zhi-lin Wu | 2021 | Defence Technology(防务技术)2021，17，1： | 5 |
| 17 | EXPONENTIALLY BOUNDED C-SEMIGROUP AND INTEGRATED SEMIGROUP WITH NONDENSELY DEFINED GENERATORS I: APPROXIMATION:显示文摘In this paper, by Laplace transform version of the Trotter-Kato approximation theorem and the integrated C-semigroup introduced by Myadera, the authors obtained some Trotter-Kato approximation theorems on exponentially bounded C-semigroups, where the range of C (and so the domain of the generator) may not be dense. The authors deduced the corresponding results on exponentially bounded integrated semigroups with nondensely generators. The results of this paper extended and perfected the results given by Lizama, Park and Zheng. | 郑权 雷岩松 | 1993 | Acta Mathematica Scientia1993，13，3： | 5 |
| 18 | ON THE NECESSARY AND SUFFICI ENT CONDITIONS OF THE CONTINUITY OF M-P INVERSES A_x^+显示文摘Some necessary and sufficient conditions of the oontinuity of A_x^+ are given in [1] In this paper, some advances on the base and the condition of the oontinuity of A_^+ for Semi-Fredholm operators A_x are presented. | 马吉涛 曹伟平 宋国柱 | 1992 | Chinese Annals of Mathematics,Series B1992，13，2： | 4 |
| 19 | Effect of yttrium,calcium and zirconium on ignition-proof principle and mechanical properties of magnesium alloys显示文摘Good ignition-proof principle and mechanical properties were realized in Mg-Y-Ca-Zr alloy system.By adding Y and Ca elements,the ignition point of Mg-3.5Y-0.8Ca alloy was improved to over 1173 K,and the alloy could be melted in air without any protections.The ef-fect of Zr addition on the microstructures and mechanical properties of Mg-3.5Y-0.8Ca alloys were investigated,and Mg-3.5%Y-0.8%Ca-0.4%Zr alloy had good comprehensive properties with tensile strength of 190 MPa and elongation of 11%.Auger electron spectros-copy(AES) and X-ray diffraction(XRD) analysis revealed that the oxide film formed on the surface of Mg-3.5Y-0.8Ca alloy was mainly composed of Y2O3.Thermogravimetric measurements in dry air indicated that the oxidation dynamics curves measured at 773,873 and 973 K followed the cubic law.Moreover,the semiconductor characteristic of Y2O3 film and its effect on ignition-proof properties of Magnesium al-loys were discussed from the viewpoint of electrochemistry. | 樊建锋 陈志远 杨伟东 方爽 许并社 | 2012 | Journal of Rare Earths2012，30，1： | 4 |
| 20 | Self-evident Automated Proving Based on Point Geometry from the Perspective of Wu's Method Identity显示文摘The algebraic methods represented by Wu's method have made signi?cant breakthroughs in the ?eld of geometric theorem proving. Algebraic proofs usually involve large amounts of calculations, thus making it diffcult to understand intuitively. However, if the authors look at Wu's method from the perspective of identity, Wu's method can be understood easily and can be used to generate new geometric propositions. To make geometric reasoning simpler, more expressive, and richer in geometric meaning, the authors establish a geometric algebraic system(point geometry built on nearly 20 basic properties/formulas about operations on points) while maintaining the advantages of the coordinate method, vector method, and particle geometry method and avoiding their disadvantages. Geometric relations in the propositions and conclusions of a geometric problem are expressed as identical equations of vector polynomials according to point geometry. Thereafter, a proof method that maintains the essence of Wu's method is introduced to ?nd the relationships between these equations. A test on more than 400 geometry statements shows that the proposed proof method, which is based on identical equations of vector polynomials, is simple and e?ective. Furthermore, when solving the original problem, this proof method can also help the authors recognize the relationship between the propositions of the problem and help the authors generate new geometric propositions. | ZHANG Jingzhong PENG Xicheng CHEN Mao | 2019 | Journal of Systems Science & Complexity2019，32，1： | 4 |
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