Improvement and security analysis of multi-ring discrete modulation continuous variable quantum secret sharing scheme

In order to avoid the complexity of Gaussian modulation and the problem that the traditional point-to-point communication DM-CVQKD protocol cannot meet the demand for multi-user key sharing at the same time, we propose a multi-ring discrete modulation continuous variable quantum key sharing scheme(MR-DM-CVQSS). In this paper, we primarily compare single-ring and multi-ring M-symbol amplitude and phase-shift keying modulations. We analyze their asymptotic key rates against collective attacks and consider the security key rates under finite-size effects. Leveraging the characteristics of discrete modulation, we improve the quantum secret sharing scheme. Non-dealer participants only require simple phase shifters to complete quantum secret sharing. We also provide the general design of the MR-DM-CVQSS protocol.We conduct a comprehensive analysis of the improved protocol's performance, confirming that the enhancement through multi-ring M-PSK allows for longer-distance quantum key distribution. Additionally, it reduces the deployment complexity of the system, thereby increasing the practical value.

基于离散-连续耦合的岩溶隧道防突岩体安全厚度预测

为有效预防岩溶隧道施工中的突涌水灾害,首先,调研近年来国内岩溶隧道突涌水典型案例,总结隧道突涌水形成机理及其影响因素;其次,建立离散-连续耦合模型并采用多元回归理论的方法,明确防突岩体破坏的判定准则,划分岩溶隧道防突岩体破坏模式并提出裂缝发育规律;然后,基于对防突岩体最小安全厚度造成影响的各因素,针对溶洞位于隧道上方、下方及侧方3种情况分别建立防突岩体最小安全厚度预测计算式;最后,依托德庆隧道工程进行验证。结果表明:防突岩体破坏模式主要有弯折破坏、整体剪切破坏和复合破坏3种,可基于裂隙发展速度将其破坏过程分为初始阶段、快速发育阶段、平缓发育阶段3个阶段;各因素按影响显著程度由大到小依次为溶腔内水压、围岩黏结参数、溶腔跨度、溶腔高跨比和隧道埋深;计算得到德庆隧道3处施工段的防突岩体最小安全厚度分别为2.964,5.263和0.961 m,突涌水评估结果准确。防突岩体最小安全厚度预测计算式可用于预测并评估岩溶隧道突涌水风险。

基于三维离散-连续耦合的岩溶隧道突水破坏模式研究

岩溶隧道在修建的过程中难以避免接近溶腔甚至高承压水溶腔,而突水破坏极易引发安全事故甚至对隧道产生不可逆的影响,因此对岩溶隧道突水破坏模式的研究有利于解决相关安全问题,并对选线安全具有一定参照意义。通过三维离散-连续耦合数值技术,对微观离散颗粒物理、力学参数进行标定并验证,模拟水压作用下下伏溶腔与隧道仰拱之间的防突岩体垮塌过程。根据试验结果将防突岩体的破坏模式分为3类:剪切破坏模式、弯折破坏模式和复合破坏模式。弯折破坏模式表现为防突岩体中部和两端拉伸裂缝呈贯通状;剪切破坏模式表现为防突岩体两端裂缝呈剪切态;复合破坏模式则同时具有二者的共同特性。3种破坏模式所引起的裂缝发育规律相似,均可分为初始发育、快速发育和平缓发育3个阶段。初始发育阶段时防突岩体所存在的裂缝数量较少;维持水压力防突岩体的裂缝数量突增并进入快速发育阶段;而后防突岩体中的裂缝产生贯通效果进入平缓发育阶段,最终防突岩体整体垮塌。由此得出结论:突水破坏在岩溶隧道中是一个渐变的过程,但对岩溶隧道总体安全性有不可逆的影响。

Optimization of Process Parameters of Continuous Microwave Drying Raspberry Puree Based on RSM and ANN-GA

To improve drying uniformity and anthocyanin content of the raspberry puree dried in a continuous microwave dryer,the effects of process parameters(microwave intensity,air velocity,and drying time)on evaluation indexes(average temperature,average moisture content,average retention rate of the total anthocyanin content,temperature contrast value,and moisture dispersion value)were investigated via the response surface method(RSM)and the artificial neural network(ANN)with genetic algorithm(GA).The results showed that the microwave intensity and drying time dominated the changes of evaluation indexes.Overall,the ANN model was superior to the RSM model with better estimation ability,and higher drying uniformity and anthocyanin retention rate were achieved for the ANN-GA model compared with RSM.The optimal parameters were microwave intensity of 5.53 W•g^(-1),air velocity of 1.22 m·s^(-1),and drying time of 5.85 min.This study might provide guidance for process optimization of microwave drying berry fruits.

Improved continuous precipitation kinetics and tensile properties of extruded AZ80 alloy through {10-12} twin formation

This study investigates the effect of{10-12}deformation twins on the continuous precipitation behavior of an extruded Mg-8.0Al-0.5Zn-0.2Mn(AZ80)alloy during aging.The extruded AZ80 alloy is compressed along the transverse direction to introduce{10-12}twins,followed by an aging treatment at 300℃.The extruded material exhibits a twin-free microstructure with low internal strain energy,whereas the pre-twinned material possesses abundant{10-12}twins and has high internal strain energy.The aging results reveal that the peak-aging time of the pre-twinned material(1 h)is one-eighth of that of the extruded material(8 h).Although Mg_(17)Al_(12)continuous precipitates(CPs)are observed in both the peak-aged materials,these CPs are much smaller and more densely distributed in the pre-twinned material despite the significantly shorter aging time.The CPs size in the peak-aged materials increases in the following order:twinned region in the pre-twinned material(0.47μm)<residual matrix region in the pre-twinned material(1.71μm)<matrix region in the extruded material(2.55μm).Moreover,the CPs number density in the twinned region of the pre-twinned material is approximately 11 times higher than that in the matrix region of the extruded material.The peak-aged pre-twinned material exhibits significantly higher tensile strength and ductility than the peak-aged extruded material.These results demonstrate that the formation of{10-12}twins in the extruded AZ80 alloy substantially accelerates the static precipitation of CPs during aging at 300℃and improves the tensile properties of the peak-aged material.

基于PFC-FLAC耦合的砂土中桩基轴向承载特性分析

随着海上风电的蓬勃发展,单桩基础因其适用性和经济性较好而得到广泛应用,且单桩基础设计直径和长度在逐渐增大。桩长的增加使得桩-土相互作用模式区别于短桩,力的传递过程发生了明显的改变。为探究单桩基础轴向承载机制,以密实的福建标准砂为材料,基于室内三轴试验标定了土体参数,采用连续-非连续耦合方法,利用PFC-FLAC软件建立耦合模型模拟了桩基轴向静载过程,以宏微观相结合的角度研究桩土间相互作用机理,揭示密实砂土中荷载传递规律。结果表明:桩身轴力随荷载增加逐渐向下发挥,加载初期桩端处不承担承载力;加载过程中,桩土间相互作用使桩身周围土体逐渐致密,且主要承担荷载区域深度为15 D~30D,孔隙比变化更大,应力集中更为显著,表现为明显的摩擦桩特性。

Discrete Spectra and Continuous Spectrum of the BarotropicQuasi-Geostrophic Model-A Calculation ofMeteorological Data

Atmospheric disturbances at 300 hPa are decomposed into normal modes, referred as discrete—spectrum disturbances which can propagate freely in the observed zonal mean flow, and non—modal transient disturbances, referred as continuous—spectrum disturbances which are continuously sheared and eventually absorbed by the zonal flow. It is shown that normal modes represent only a small fraction of the observed atmospheric disturbances, while continuous—spectrum disturbances represent the majority of observed disturbances, even when the basic flow is unstable. Daily variabilities of the observed continuous—spectrum disturbances are presented. They are shown to follow the results of wave—packet theory. Calculations suggest that there are abundant sources to excite continuous—spectrum disturbances in the atmosphere.

NADARAYA-WATSON ESTIMATORS FOR REFLECTED STOCHASTIC PROCESSES

We study the Nadaraya-Watson estimators for the drift function of two-sided reflected stochastic differential equations.The estimates,based on either the continuously observed process or the discretely observed process,are considered.Under certain conditions,we prove the strong consistency and the asymptotic normality of the two estimators.Our method is also suitable for one-sided reflected stochastic differential equations.Simulation results demonstrate that the performance of our estimator is superior to that of the estimator proposed by Cholaquidis et al.(Stat Sin,2021,31:29-51).Several real data sets of the currency exchange rate are used to illustrate our proposed methodology.

NEW SET OF OPERATOR-VALUED BESSEL FUNCTIONS,THE HOLOMORPHIC DISCRETE SERIES AND ITS ANALYTIC CONTINUATION

ＮＥＷＳＥＴＯＦＯＰＥＲＡＴＯＲ┐ＶＡＬＵＥＤＢＥＳＳＥＬＦＵＮＣＴＩＯＮＳ，ＴＨＥＨＯＬＯＭＯＲＰＨＩＣＤＩＳＣＲＥＴＥＳＥＲＩＥＳＡＮＤＩＴＳＡＮＡＬＹＴＩＣＣＯＮＴＩＮＵＡＴＩＯＮ＊ＤｉｎｇＨｏｎｇｍｉｎｇ（丁鸿明）（Ｓｔ．ＬｏｕｉｓＵｎｉｖｅ...

CONTINUOUS AND DISCRETE N-CONVEX APPROXIMATIONS

We show that the best L_p-approximant to continuous functions by n-convex functions is the limit of discrete n-convex approximations.The techniques of the proof are then used to show the existence of near interpolants to discrete n-convex data by continuous n-convex functions if the data points are close.

Robust stability test for 2-D continuous-discrete systems with interval parameters

It is revealed that the dynamic stability of 2-D recursive continuous-discrete systems with interval parameters involves the problem of robust Hurwitz-Schur stability of bivariate polynomials family. It is proved that the Hurwitz-Schur stability of the denominator polynomials of the systems is necessary and sufficient for the asymptotic stability of the 2-D hybrid systems. The 2-D hybrid transformation, i. e. 2-D Laplace-Z transformation, has been proposed to solve the stability analysis of the 2-D continuous-discrete systems, to get the 2-D hybrid transfer functions of the systems. The edge test for the Hurwitz-Schur stability of interval bivariate polynomials is introduced. The Hurwitz-Schur stability of the interval family of 2-D polynomials can be guaranteed by the stability of its finite edge polynomials of the family. An algorithm about the stability test of edge polynomials is given.

基于连续-离散方法的微波照射下花岗岩力学行为与破裂特征

微波辅助破岩具有绿色、低能耗等优点,是有望实现深部煤炭资源开发中硬岩地层高效掘进的技术手段,其机理引发了工程与学术界的关注。基于花岗岩组分矿物微波吸收升温差异,借助连续介质微波电磁分析及离散元力学模型,实现了微观矿物温度离散赋值,提出了微波照射下花岗岩力学性质的计算分析方法,从温度场分布、力学性质和破坏形态验证了方法的可靠性,揭示了微波照射下花岗岩破裂规律、单/三轴加载条件下的力学行为及破裂机制。计算结果表明:(1)微波照射下,试样出现2个相对低温区域和1个热点区域。在低照射功率(≤2 kW)情况下,试样内部裂纹数量极少;高照射功率(≥3 kW)下,试样内部裂纹以晶粒边界拉伸破坏为主导逐渐发育,并以热点区域为中心向四周延拓形成裂纹网络。(2)对于单轴压缩,试样峰值应力、弹性模量和损伤阈值均随照射功率增加而降低,在高照射功率(≥3 kW)下,力学参数跌落更加明显;当照射功率较高(≥3 kW)时,微波照射后初始裂纹主导了受载试样的裂纹演化,试样呈现沿初始裂纹扩展趋势并出现显著的局部破坏。(3)对于三轴压缩,随照射功率增加,初始围压对试样强度提升效果越发强烈;低照射功率(≤2 kW)下,弹性模量随围压变化不明显,高照射功率(≥3 kW)下,初始围压对弹性模量的提升格外显著;随照射功率增加,围压促进了破碎颗粒的继续承载及应力传递,试样破坏由晶间破坏主导向晶内破坏主导转变,进而引发裂纹网络充分发育,抑制了高功率(≥3 kW)照射产生的局部结构集中破坏。

Microstructure and properties of Al-0.70Fe-0.24Cu alloy conductor prepared by horizontal continuous casting and subsequent continuous extrusion forming

A novel process for manufacturing A1-0.70Fe-0.24Cu alloy conductor was proposed, which includes horizontal continuous casting and subsequent continuous extrusion forming （Conform）. The mechanical properties, electrical conductivity and the compressed creep behaviour of the alloy were studied. The results indicate that the Conform process induces obvious grain refinement, strain-induced precipitation of AI7CuzFe phase and the transformation of crystal orientation distribution. The processed alloy has good comprehensive mechanical properties and electrical conductivity. Moreover, a better creep resistance under the conditions of 90 ~C and 76 MPa is shown compared with pure A1 and annealed copper, and the relationship between primary creep strain and time may comply with the logarithmic law. The enhanced properties are attributed to the grain refinement as well as the fine and homogeneously distributed thermally stable A1Fe and A17Cu2Fe precipitation phases.

Half-global discretization algorithm based on rough set theory

It is being widely studied how to extract knowledge from a decision table based on rough set theory. The novel problem is how to discretize a decision table having continuous attribute. In order to obtain more reasonable discretization results, a discretization algorithm is proposed, which arranges half-global discretization based on the correlational coefficient of each continuous attribute while considering the uniqueness of rough set theory. When choosing heuristic information, stability is combined with rough entropy. In terms of stability, the possibility of classifying objects belonging to certain sub-interval of a given attribute into neighbor sub-intervals is minimized. By doing this, rational discrete intervals can be determined. Rough entropy is employed to decide the optimal cut-points while guaranteeing the consistency of the decision table after discretization. Thought of this algorithm is elaborated through Iris data and then some experiments by comparing outcomes of four discritized datasets are also given, which are calculated by the proposed algorithm and four other typical algorithras for discritization respectively. After that, classification rules are deduced and summarized through rough set based classifiers. Results show that the proposed discretization algorithm is able to generate optimal classification accuracy while minimizing the number of discrete intervals. It displays superiority especially when dealing with a decision table having a large attribute number.

A branch-and-bound algorithm for discrete multi-factor portfolio optimization model

In this paper, a new branch-and-bound algorithm based on the Lagrangian dual relaxation and continuous relaxation is proposed for discrete multi-factor portfolio selection model with roundlot restriction in financial optimization. This discrete portfolio model is of integer quadratic programming problems. The separable structure of the model is investigated by using Lagrangian relaxation and dual search. Computational results show that the algorithm is capable of solving real-world portfolio problems with data from US stock market and randomly generated test problems with up to 120 securities.

Process for improving the ladle free- opening rate for high aluminum steel in continuous casting

Steel 20Mn23AlV is a type of high aluminum steel with a very low ladle free-opening rate. The aluminum composition of 20Mn23AlV ranges from 1.6% to 2.45% ,which is significantly higher than other types of steel. According to the real condition of 40 t ladle in steel-making plant of Baosteel Special Steel Company, previous works show that the key factors affecting the ladle free-opening rate of high aluminum steel in continuous casting are：sand material, accessories baking, ladle nozzle cleaning, the process and amount of adding sand, and the rate of argon stirring during refining. Therefore, improving the ladle filler sand quality, baking all of the raw materials, controlling the addition of ladle filler sand, cleaning the ladle nozzle, and optimizing argon stirring during the refining process can resolve the problem of a low ladle free-opening rate of high aluminum steel caused by the long ladle time of liquid steel.

Numerical study on three-dimensional flow field of continuously rotating detonation in a toroidal chamber

Gaseous detonation propagating in a toroidal chamber was numerically studied for hydrogen/oxygen/nitrogen mixtures. The numerical method used is based on the three-dimensional Euler equations with detailed finiterate chemistry. The results show that the calculated streak picture is in qualitative agreement with the picture recorded by a high speed streak camera from published literature. The three-dimensional flow field induced by a continuously rotating detonation was visualized and distinctive features of the rotating detonations were clearly depicted. Owing to the unconfined character of detonation wavelet, a deficit of detonation parameters was observed. Due to the effects of wall geometries, the strength of the outside detonation front is stronger than that of the inside portion. The detonation thus propagates with a constant circular velocity. Numerical simulation also shows three-dimensional rotating detonation structures, which display specific feature of the detonation- shock combined wave. Discrete burning gas pockets are formed due to instability of the discontinuity. It is believed that the present study could give an insight into the interest- ing properties of the continuously rotating detonation, and is thus beneficial to the design of continuous detonation propulsion systems.

Book Announcement of L. Celentano, Robust Tracking Controllers Design with Generic References for Continuous and Discrete Uncertain Linear SISO Systems, LAP LAMBERT Academic Publishing, 2012

In this book new results on controller design techniques for the tracking of generic reference inputs are presented. They allow the design of a controller for an uncertain process, either continuous or discrete-time, without zeros, and with measurable state. The controller guarantees that the control system is Type 1 and has the desired constant gain and poles or that the control system tracks, with a specified maximum error and with a specified maximum time constant, a generic reference with bounded derivative (variation in the discrete-time case), also in the presence of a generic disturbance with bounded derivative (variation). In addition, it is considered the case in which the reference is known a priori. The utility and the efficiency of the proposed methods are illustrated with attractive and significant examples of motion control and temperature control. This book is useful for the design of control systems, especially for manufacturing systems, that are versatile, fast, precise and robust.

Techniques of Discrete Function Transfers into Continuous Function in Practice

One confusing question over a long period of time is how transfer the discrete function transfers into continuous function. Recently the issue has been resolved but some details of the transformation process will be introduced in the paper. The correlation coefficients of 100,000 values are established from the two groups of data with the range between -1 and 1, creating a histogram from these correlation coefficient values known as “the probability mass function.” The coefficient values are brought into the discrete distribution function, so that transfers into the discrete cumulative function, next converted into a continuous cumulative function, next which is differentiated to get the density function, so that it is easy to being research analysis. A model will be established during the process of the conversion what the medium is “the least squares algorithm.” Finally, when the integral of the area within the range of the density function equals to 1, this implies that the transformation complete succeeds from the discrete function to the continuous function.

A UNIVERSAL APPROACH FOR CONTINUOUS OR DISCRETE NONLINEAR PROGRAMMINGS WITH MULTIPLE VARIABLES AND CONSTRAINTS

A universal numerical approach for nonlinear mathematic programming problems is presented with an application of ratios of first-order differentials/differences of objective functions to constraint functions with respect to design variables. This approach can be efficiently used to solve continuous and, in particular, discrete programmings with arbitrary design variables and constraints. As a search method, this approach requires only computations of the functions and their partial derivatives or differences with respect to design variables, rather than any solution of mathematic equations. The present approach has been applied on many numerical examples as well as on some classical operational problems such as one-dimensional and two-dimensional knap-sack problems, one-dimensional and two-dimensional resource-distribution problems, problems of working reliability of composite systems and loading problems of machine, and more efficient and reliable solutions are obtained than traditional methods. The present approach can be used without limitation of modeling scales of the problem. Optimum solutions can be guaranteed as long as the objective function, constraint functions and their First-order derivatives/differences exist in the feasible domain or feasible set. There are no failures of convergence and instability when this approach is adopted.