SELF-DUAL PERMUTATION CODES OVER FORMAL POWER SERIES RINGS AND FINITE PRINCIPAL IDEAL RINGS

In this paper, we study self-dual permutation codes over formal power series rings and finite principal ideal rings. We first give some results on the torsion codes associated with the linear codes over formal power series rings. These results allow for obtaining some conditions for non-existence of self-dual permutation codes over formal power series rings. Finally, we describe self-dual permutation codes over finite principal ideal rings by examining permutation codes over their component chain rings.

Self-Dual Permutation Codes over Finite Chain Rings

Permutation codes over finite chain rings are introduced; by using the character of the finite chain rings and the knowledge of representation of group, some conditions for existence or non-existence of self-dual permutation codes over finite chain rings are obtained. Specially, when the group is a direct product of a 2-group and a T-group, and the group action is transitive, the sufficient and necessary condition of the existence of permutation codes is given.

On Study of Solutions of Kac-van Moerbeke Lattice and Self-dual Network Equations

The closed form of solutions of Kac-van Moerbeke lattice and self-dual network equations are considered by proposing transformations based on Riccati equation, using symbolic computation. In contrast to the numerical computation of travelling wave solutions for differential difference equations, our method obtains exact solutions which have physical relevance.

The Self-dual Codes over Formal Power Series Rings

The codes of formal power series rings R_∞=F[[r]]={sum from i=0 to ∞(a_lr^l|a_l∈F)}and finite chain rings R_i={a_0+a_1r+…+a_(i-1)r^(i-1)|a_i∈F}have close relationship in lifts and projection.In this paper,we study self-dual codes over R_∞by means of self-dual codes over Ri,and give some characterizations of self-dual codes over R_∞.

Self-dual Codes Defined on Factor Graphs

A definition of a self-dual code on graph and a procedure based on factor graphs to judge a self-dual code were presented. Three contributions of this paper were described as follows. To begin with, transform T_ R→L were defined, which was the basis of self-dual codes defined on graphs and played a key role in the paper. The second were that a self-dual code could be defined on factor graph, which was much different from conventional algebraic method. The third was that a factor graph approach to judge a self-dual code was illustrated, which took advantage of duality properties of factor graphs and our proposed transform T_ R→L to offer a convenient and geometrically intuitive process to judge a self-dual code.

ON SELF-DUAL PERMUTATION CODES

Permutation codes over finite fields are introduced, some conditions for existence or non-existence of self-dual permutation codes are obtained.

Construction of Self-dual Codes over F_p+vF_p

In this paper, we give an explicit construction for self-dual codes over F_p+vF_p(v^2= v) and determine all the self-dual codes over F_p+ vF_p by using self-dual codes over finite field F_p, where p is a prime.

New MDS Euclidean and Hermitian Self-Dual Codes over Finite Fields

In this paper, we construct MDS Euclidean self-dual codes which are ex-tended cyclic duadic codes. And we obtain many new MDS Euclidean self-dual codes. We also construct MDS Hermitian self-dual codes from generalized Reed-Solomon codes and constacyclic codes.

Fermionic Zero Modes in Self-dual Vortex Background on a Torus

We study fermionic zero modes in the self-dual vortex background on an extra two-dimensional Riemann surface in （5＋1） dimensions. Using the generalized Abelian-Higgs model, we obtain the inner topological structure of the self-dual vortex and establish the exact self-duality equation with topological term. Then we analyze the Dirac operator on an extra torus and the effective Lagrangian of four-dimensional fermions with the self-dual vortex background. Solving the Dirac equation, the fermionic zero modes on a torus with the self-dual vortex background in two simple cases are obtained.

Self-dual Codes with Symplectic Inner Product

In this paper, we discuss a kind of Hermitian inner product - symplectic inner product, which is different from the original inner product - Euclidean inner product. According to the definition of symplectic inner product, the codes under the symplectic inner product have better properties than those under the general Hermitian inner product. Here we present the necessary and sufficient condition for judging whether a linear code C over Fp with a generator matrix in the standard form is a symplectic self-dual code. In addition, we give a method for constructing a new symplectic self-dual codes over Fp, which is simpler than others.

Soliton interactions and asymptotic state analysis in a discrete nonlocal nonlinear self-dual network equation of reverse-space type

We propose a reverse-space nonlocal nonlinear self-dual network equation under special symmetry reduction,which may have potential applications in electric circuits.Nonlocal infinitely many conservation laws are constructed based on its Lax pair.Nonlocal discrete generalized(m,N−m)-fold Darboux transformation is extended and applied to solve this system.As an application of the method,we obtain multi-soliton solutions in zero seed background via the nonlocal discrete N-fold Darboux transformation and rational solutions from nonzero-seed background via the nonlocal discrete generalized(1,N−1)-fold Darboux transformation,respectively.By using the asymptotic and graphic analysis,structures of one-,two-,three-and four-soliton solutions are shown and discussed graphically.We find that single component field in this nonlocal system displays unstable soliton structure whereas the combined potential terms exhibit stable soliton structures.It is shown that the soliton structures are quite different between discrete local and nonlocal systems.Results given in this paper may be helpful for understanding the electrical signals propagation.

Self-dual Vortices in Schrdinger-Chern-Simons Model

By making use of the U（1） gauge potential decomposition theory and the Ф-mapping topological current theory, we investigate the Schroedinger-Chern-Simons model in the thin-film superconductor system and obtain an exact Bogomolny self-dual equation with a topological term. It is revealed that there exist self-dual vortices in the system. We study the inner topological structure of the self-dual vortices and show that their topological charges are topologically quantized and labeled by Hopf indices and Brouwer degrees. Furthermore, the vortices are found generating or annihilating at the limit points and encountering, splitting or merging at the bifurcation points of the vector field Ф.

Fractional Breaking Soliton Equation Reduced from a Linear Spectral Problem Associated with Fractional Self-Dual Yang-Mills Equations

Fractional or fractal calculus is everywhere and very important.It is reported that the fractal approach is suitable for insight into the effect of porous structure on thermo-properties of cloth.A novel local fractional breaking soliton equation is derived from the reduction of the linear spectral problem associated with the local fractional non-isospectral self-dual Yang-Mills equations.More specifically,the employed linear spectral problem is first reduced to the(2+1)-dimensional local fractional zero-curvature equation through variable transformations.Based on the reduced local fractional zero-curvature equation,the fractional breaking soliton equation is then constructed by the method of undetermined coefficients.This paper shows that some other local fractional models can be obtained by generalizing the existing methods of generating nonlinear partial differential equations with integer orders.

动态无线充电系统自解耦型分段导轨及其双模切换策略研究

为抑制电动汽车动态无线充电系统发射单元间的交叉耦合,降低其对系统谐振参数设计的影响,文中利用螺线管线圈与平面线圈正交解耦特性,提出一种自解耦分段发射导轨,其中螺线管为分级叠层绕制,实现了相邻发射单元间的自解耦。为降低系统输出参数波动,基于互感动态变化规律,确定系统最佳充电区间,并提出一种双模工作模式及其分段切换策略,实现对发射线圈实能顺序的实时控制。为实现双模工作状态的有序变换,设计自解耦检测线圈结构,该检测线圈采用单层螺线管绕制并与接收线圈正交,避免检测信号与电能传输之间的干扰。最后,搭建实验平台对所提方法的有效性进行验证。实验结果表明,系统输出功率平稳性提升了19.5%,系统的最高效率可达92.3%。

基于偏振自稳定双环的受激Brillouin散射光电振荡器

基于偏振自稳定双环结构提出一种受激Brillouin散射(SBS)光电振荡器(OEO),利用SBS的窄带宽增益谱实现相位调制到强度调制的转换(PM-IM),并选择OEO的振荡模式,构造偏振自稳定双环结构,在每个回路中的输入光被45°Faraday旋转镜反射后,将通过45°Faraday旋转器和不同长度单模光纤返回其路径,保证输出信号和输入信号的偏振态始终相差180°,从而消除外界机械振动和温度干扰.由于环路结构为反射式往返传输,因此所需光纤长度缩短1/2.实验结果表明,该OEO通过改变泵浦光波长实现频率调谐,可产生1~16 GHz的微波信号,10 GHz处边模抑制比(SMSR)达67.14 dB,相位噪声为-116.3 dBc/Hz@10 kHz.

职教师资队伍建设的自组织逻辑及变革路向

高素质专业化的职教师资队伍建设是新时代职业教育发展的迫切要求。基于自组织视角,我国职教师资队伍建设还面临组织困境,诸如职教师资队伍来源相对单一、组织的开放性不够,职教师资队伍建设模式相对固化、组织的发展动力不强,职教师资的制度建设相对滞后、组织的发展保障不足等问题。职教师资的跨界属性必然要求突出职教师资队伍自身开放性,构建多元参与的治理体系;注重与环境关系的非平衡性,增强职教师资队伍的发展动力;优化发展的非线性,加强职教师资队伍建设的制度保障。

师范生自我调节学习的双重角色:理论指引、概念模型和实践路径

在教师教育领域,自我调节学习扮演着至关重要的角色,作为未来的教师,师范生亟需培养自我调节学习能力,以适应知识领域快速演变的现实。自我调节学习与教师教育紧密相连,教师教育课程需要引入自我调节学习的理念和实践。一方面,师范生需要实现自身学习的自我调节,称为学习者的角色(SRL),另一方面,师范生需要引导学生实现自我调节学习的技巧,称之为教师的角色,也称为自我调节教学(SRT)。可以通过理论框架学习、教学培训和交互式学习环境三个维度的培训,帮助师范生发展其自我调节双重角色能力,并促进学生的自主学习能力。在师范生培养中加强对自我调节学习双重角色能力的重视,并将其作为教师专业发展的一个重要方面。

“双元育人”模式下护生自主学习能力在职业认同感与岗位胜任力间的中介作用

目的:分析自主学习能力、职业认同和岗位胜任力之间的关系,探讨“双元育人”模式下护生自主学习能力在职业认同感与岗位胜任力之间的中介作用。方法:采用便利抽样方法选取全国11个省份17所高职院校护理专业采用“双元育人”模式的护生1111名作为研究对象,采用一般资料问卷、职业认同感问卷、护理学生自主学习能力量表及临床护士胜任力自评问卷进行调查,应用分层多元回归分析职业认同和自主学习能力对临床护士岗位胜任力的影响,采用Bootstrap法检验自主学习能力在职业认同感与岗位胜任力之间的中介作用。结果:“双元育人”模式下护生岗位胜任力与职业认同感和自主学习能力均呈明显正相关关系(r=0.433、0.619,P<0.01)。多元回归分析显示,职业认同或自主学习能力对岗位胜任力有积极影响(P<0.01)。自主学习能力在职业认同与岗位胜任力的关系中起中介作用,通过自主学习能力创造职业认同的间接效应占总效应的68.4%。结论:自主学习能力在一定程度上调节了职业认同与岗位胜任力的关系,应重视学生的职业认同和自主学习能力,以提高护生的岗位胜任力。

时间感知的双塔型自注意力序列推荐模型

用户的偏好具有聚合性和漂移性。现有推荐算法在序列建模框架中融合了交互时间相关性的建模,取得了很大的性能改善,但它们在建模时仅考虑了交互的时间间隔,使得它们在捕捉用户偏好的时间动态方面存在局限性。首先,提出了一种新的时间感知的位置嵌入方法,将时间信息与位置嵌入相结合,帮助模型学习时间层面的项目相关性。随后,在时间感知位置嵌入基础上,提出了时间感知的双塔自注意力序列推荐模型(TiDSA)。TiDSA包含项目级和特征级的自注意力模块,分别从项目和特征两个角度对用户偏好随时间变化的过程进行分析,实现了对时间、项目和特征的统一建模,并且在特征级自注意力模块,设计了多维度的自注意力权重计算方式,从特征维度、项目维度和项目与特征交叉维度充分学习特征之间的相关性。最后,TiDSA将项目级与特征级的信息相融合得到最终的用户偏好表示,并根据该表示为用户提供可靠的推荐结果。四个真实推荐数据集的实验结果表明,TiDSA的性能优于许多先进的基线模型。

数字平台自我优待:行为类型与法律规制

数字平台的健康发展、做优做强须强化反垄断监管,而自我优待是数字平台反垄断的重点之一。作为一个伞状概念,自我优待不宜泛化讨论,应将其限定在平台内部讨论,具体指“双角色平台”对平台内自营商业活动的优待。自我优待的实践样态可分为三个类型,即算法操纵型、数据利用型、平台规则支持型,不同类型的自我优待有不同的行为特征。自我优待存在“双轮垄断”的反竞争性,会对其他经营者、消费者、创新产生竞争损害,其法律规制既不可失之于宽也不能失之于严,应采用行为主义理论,着重分析行为效果,坚持惩戒性规制与激励性规制相统一,鼓励并引导数字平台就自我优待行为建立合规审查机制。