Distributional Chaoticity of the Minimal Subshift of Shift Operators

This paper focus on the chaotic properties of minimal subshift of shift operators. It is proved that the minimal subshift of shift operators is uniformly distributional chaotic, distributional chaotic in a sequence, distributional chaotic of type k ( k∈{ 1,2,2 1 2 ,3 } ), and ( 0,1 ) -distribution.

On Invertibility of Some Functional Operators with Shift

In this paper, we consider operators arising in the modeling of renewable systems with elements that can be in different states. These operators are functional operators with non-Carlemann shifts and they act in Holder spaces with weight. The main attention was paid to non-linear equations relating coefficients to operators with a shift. The solutions of these equations were used to reduce the operators under consideration to operators with shift, the invertibility conditions for which were found in previous articles of the authors. To construct the solution of the non-linear equation, we consider the coefficient factorization problem (the homogeneous equation with a zero right-hand side) and the jump problem (the non-homogeneous equation with a unit coefficient). The solution of the general equation is represented as a composition of the solutions to these two problems.

ENTIRE FUNCTIONS SHARING ONE SMALL FUNCTION CM WITH THEIR SHIFTS AND DIFFERENCE OPERATORS

In this article, we mainly devote to proving uniqueness results for entire functionssharing one small function CM with their shift and difference operator simultaneously. Letf（z） be a nonconstant entire function of finite order, c be a nonzero finite complex constant, and n be a positive integer. If f（z）, f（z＋c）, and △n cf（z） share 0 CM, then f（z＋c）≡Af（z）, where A（≠0） is a complex constant. Moreover, let a（z）, b（z）（ O） ∈ S（f） be periodic entire functions with period c and if f（z） - a（z）, f（z ＋ c） - a（z）, △cn f（z） - b（z） share 0 CM, then f（z ＋ c） ≡ f（z）.

New representation of the multimode phase shifting operator and its application

Based on the rotation transformation in phase space and the technique of integration within an ordered product of operators, the coherent state representation of the multimode phase shifting operator and one of its new applications in quantum mechanics are given. It is proved that the coherent state is a natural language for describing the phase shifting operator or multimode phase shifting operator. The multimode phase shifting operator is also a useful tool to solve the dynamic problems of the mnltimode coordinate-momentum coupled harmonic oscillators. The exact energy spectra and eigenstates of such multimode coupled harmonic oscillators can be easily obtained by using the rnultimode phase shifting operator.

ON REFLEXIVITY OF HYPONORMAL AND WEIGHTED SHIFT OPERATORS

By an elementary proof, we use a result of Conway and Dudziak to show that if A is a hyponormal operator with spectral radius r（A） such that its spectrum is the closed disc {z：｜z｜ ≤ r（A）} then A is reflexive. Using this result, we give a simple proof of a result of Bercovici, Foias, and Pearcy on reflexivity of shift operators. Also, it is shown that every power of an invertible bilateral weighted shift is reflexive.

Optimization of the seismic processing phase-shift plus finite-difference migration operator based on a hybrid genetic and simulated annealing algorithm

Although the phase-shift seismic processing method has characteristics of high accuracy, good stability, high efficiency, and high-dip imaging, it is not able to adapt to strong lateral velocity variation. To overcome this defect, a finite-difference method in the frequency-space domain is introduced in the migration process, because it can adapt to strong lateral velocity variation and the coefficient is optimized by a hybrid genetic and simulated annealing algorithm. The two measures improve the precision of the approximation dispersion equation. Thus, the imaging effect is improved for areas of high-dip structure and strong lateral velocity variation. The migration imaging of a 2-D SEG/EAGE salt dome model proves that a better imaging effect in these areas is achieved by optimized phase-shift migration operator plus a finite-difference method based on a hybrid genetic and simulated annealing algorithm. The method proposed in this paper is better than conventional methods in imaging of areas of high-dip angle and strong lateral velocity variation.

On Invertibility of Functional Operators with Shift in Weighted Holder Spaces

In this paper, we consider functional operators with shift in weighted H?lder spaces. We present the main idea and the scheme of proof of the conditions of invertibility for these operators. As an application, we propose to use these results for solution of equations with shift which arise in the study of cyclic models for natural systems with renewable resources.

THE PROPERTY OF NONWANDERING OPERATOR

In this paper. we stady the nonwandering operator, which is a linear operator with chaos character and is in intnite dimensionol linear space. We give the hypercyclic bacomposition on the compact set of nonwandering operators.

MIKUSINSKI＇S OPERATORS SOLUTION OF THREE－ORDER LINEAR DIFFERENCE EQUATION WITH VARIABLE COEFFICIENTS

This paper proceeds the papers [3] [4], we make use of the idea of the variable ,number operators and some concepts and conclusions of the shifting operators serieswith variable coefficients in the operational field of Mikusinski, it is devoted to thesolution of the general three-order linear difference equation with variable,coefficients,and it is also devoted to the better solution .formula for the some special three-orderlinear difference equations with variable coefficients, in addition, we try to provide theidea and method for realizing solution of the more than three-order linear differenceequation with variable coefficients.

A Note on Nilpotent Operators

We find that a bounded linear operator T on a complex Hilbert space H satisfies the norm relation |||T|na|| =2q, for any vector a in H such that q≤(||Ta||-4-1||Ta||2)≤1.A partial converse to Theorem 1 by Haagerup and Harpe in [1] is suggested. We establish an upper bound for the numerical radius of nilpotent operators.

Factorization of Functional Operators with Involutive Rotation on the Unit Circle

Following the classical definition of factorization of matrix-functions, we introduce a definition of factorization for functional operators with involutive rotation on the unit circle. Partial indices are defined and their uniqueness is proven. In previous works, the main research method for the study scalar singular integral operators and Riemann boundary value problems with Carlemann shift were operator identities, which allowed to eliminate shift and to reduce scalar problems to matrix problems without shift. In this study, the operator identities were used for the opposite purpose: to transform operators of multiplication by matrix-functions into scalar operators with Carlemann linear-fractional shift.

Numerical Solutions of Fractional Variable Order Differential Equations via Using Shifted Legendre Polynomials

In this manuscript,an algorithm for the computation of numerical solutions to some variable order fractional differential equations(FDEs)subject to the boundary and initial conditions is developed.We use shifted Legendre polynomials for the required numerical algorithm to develop some operational matrices.Further,operational matrices are constructed using variable order differentiation and integration.We are finding the operationalmatrices of variable order differentiation and integration by omitting the discretization of data.With the help of aforesaid matrices,considered FDEs are converted to algebraic equations of Sylvester type.Finally,the algebraic equations we get are solved with the help of mathematical software like Matlab or Mathematica to compute numerical solutions.Some examples are given to check the proposed method’s accuracy and graphical representations.Exact and numerical solutions are also compared in the paper for some examples.The efficiency of the method can be enhanced further by increasing the scale level.

双有源桥DC-DC变换器三移相调制及其死区效应分析和补偿

针对双有源桥(DAB)变换器宽电压范围应用,该文研究一种全工况连续、表达形式统一、计算量小的三移相(TPS)调制策略,并分析其功率传输特性及软开关性能。结合工程应用中的非理想因素,对TPS调制不同开关模式下的死区效应及其边界进行研究,给出DAB宽电压范围运行时避免电压跌落和极性反转的约束条件。针对死区引入的移相比损失、软开关范围减小等问题,提出一种基于开关脉冲调整的死区补偿策略以补偿移相比损失,重新获取全工况软开关范围,降低死区引入的附加电流应力及损耗、提升效率。最后通过仿真和实验验证所提策略的有效性。

带宽自适应的Mean Shift目标跟踪算法

针对传统均值漂移(Mean Shift)目标跟踪算法中核函数带宽缺乏良好自适应调整的缺点,提出了自适应调整核函数带宽的Mean Shift目标跟踪算法.该算法首先采用核函数计算目标颜色特征值的概率密度,在视频当前帧目标的最优位置区域由目标颜色特征概率投影生成目标概率密度分布图;然后根据概率密度零阶矩值调整下一帧跟踪窗口宽度,从而实现核函数带宽的自适应调整;最后通过矩运算计算椭圆参数,用椭圆锁定目标来实现复杂背景下目标的空间、尺度和方向定位.人脸跟踪实验结果表明:与传统MeanShift目标跟踪算法相比,文中算法可以实时地对目标进行缩放锁定,且能够估计目标姿态;与Cam Shift算法相比,文中算法抵抗相似颜色干扰的性能较好.

数字经济赋能青少年体育培训产业运营转向的现实审视与实践通路

“双减”政策的颁布与实施对当前我国青少年体育培训产业的运营提出更高要求。其中,数字经济凭借其高联通、低成本等诸多优势成为我国青少年体育培训产业运营转向的关键动能引擎。据此,本研究立足于数字经济赋能青少年体育培训产业运营转向的学理构成,挖掘数字经济赋能青少年体育培训产业运营转向的阻滞困境,发现技术嵌入不足致使体育培训课程同质化严重、青少年体育培训从业人员数字素养与应用能力欠缺、数字化监管能力不足致使青少年体育培训市场乱象频发等问题,并建议从加速体育培训课程研发技术融入、注重教练员数字素养“微能力”培育、优化青少年体育培训市场数字化监管协同机制三方面入手,提升数字经济赋能青少年体育培训产业运营转向的驱动效能,以期进一步促进青少年体育培训产业高质量发展。

尺度方向自适应Mean Shift跟踪算法

在分析尺度空间理论和Mean Shift跟踪算法的基础上,提出了一种尺度方向自适应Mean Shift跟踪算法。根据起始帧图像中目标和背景的差异,分割出目标覆盖区域,并根据尺度空间理论对目标建立最佳描述椭圆。对于后续帧,以上一帧目标的最佳椭圆描述为初始值,根据Mean Shift迭代原理依次更新椭圆参数。实验结果表明,新算法可以有效、稳健地适应目标旋转缩放等复杂运动。

高速铁路轨道运维拨道技术研究

为探讨优化高速铁路拨道换板合理作业参数以进一步提升轨道板更换效率,以既有运营线拨道换板整修为研究对象,结合线上无砟轨道换板作业实际测试,建立了考虑钢轨、扣件、轨道关键部件的线路拨道有限元模型,研究了垫轨、拨轨状态下工装布置间距、扣件松开长度、温差等对拨道作业的影响,为更换不同类型、不同块数伤损轨道板提供数据支持与指导。研究结果表明:进行钢轨横向拨道作业前,需首先分析各垫轨、拨道工装以及轨距拉杆的相对布置间距,确定合理的工装布置方式。拨道作业时,扣件最大上拔力位于未松开的第1组扣件处,上拔力受工装抬轨高度及松开扣件长度的共同影响,与温度不相关,当扣件压力限值取18 kN时,在750 mm的钢轨横向拨道量条件下,线路总长度至少达到80 m即可保证扣件不发生上窜现象。钢轨的最大米塞斯应力位于轨距拉杆处轨底内侧,应力沿着从扣件松开处向拨道中心的方向减小,与钢轨材料弹性柔度成正相关。横向最大拉应力始终位于拨道横移加载处,应力状态均与扣件松开长度近似呈反比例函数关系,且满足钢轨允许最大拉应力限值要求。当施工轨温低于锁定轨温时为钢轨最不利受力情况,为了保证可一次性更换2块轨道板长度,建议最小线路总长度取120 m(扣件松开长度100 m)。研究结果可为进一步优化高速铁路轨道运维技术和保障高铁安全运营提供参考。

三帧差法和Mean-shift结合的行人检测与跟踪研究

为了快速、准确地对视频序列中的行人进行检测和跟踪,提出了一种基于运动区域的Mean-shift行人检测和跟踪算法。采用改进的背景差分的三帧间差分法对运动区域进行提取,并通过离线训练的HOG分类器对行人进行识别。提出采用基于Mean-shift的轮廓跟踪算法对行人进行实时跟踪。实验结果表明,该算法能够将不包含行人信息的区域进行筛选排除,在不降低检测效果的情况下明显提高了行人检测及跟踪的效率,具有较强的鲁棒性。

基于Canny边缘检测的Mean-Shift跟踪核窗宽确定方法

传统核窗宽固定的Mean—Shift跟踪算法不能很好地对做复杂运动、尺寸变化的目标进行有效地跟踪，变核窗宽是解决这一问题的途径。图像的边缘表征了目标的重要特征，可以通过提取目标的边缘来确定核窗宽并用于跟踪。基于Canny边缘检测算法确定跟踪窗宽加快了Mean—Shift跟踪算法的运算速度，仿真结果验证了该跟踪算法的有效性。

Reducing Subspaces of Toeplitz Operators Induced by a Class of Non-analytic Monomials over the Unit Ball

In this paper,we describe the minimal reducing subspaces of Toeplitz operators induced by non-analytic monomials on the weighted Bergman spaces and Dirichlet spaces over the unit ball B_(2).It is proved that each minimal reducing subspace M is finite dimensional,and if dim M≥3,then M is induced by a monomial.Furthermore,the structure of commutant algebra v(T_(w)N_(z)N):={M^(*)_(w)NM_(z)N,M^(*)_(z)NM_(w)N}′is determined by N and the two dimensional minimal reducing subspaces of(T_(w)N_(z)N.We also give some interesting examples.