On Supersymmetry of the Covariant 3-Algebra Model for M-Theory

We examine a natural supersymmetric extension of the bosonic covariant 3-algebra model for M-theory proposed in [1]. It possesses manifest SO(1,10) symmetry and is constructed based on the Lorentzian Lie 3-algebra associated with the U(N) Lie algebra. There is no ghost related to the Lorentzian signature in this model. It is invariant under 64 supersymmetry transformations although the supersymmetry algebra does not close. From the model, we derive the BFSS matrix theory and the IIB matrix model in a large N limit by taking appropriate vacua.

Zariski 3-Algebra Model of M-Theory

We review on Zariski 3-algebra model of M-theory. The model is obtained by Zariski quantization of a semi-light-cone supermembrane action. The model has manifest N=1 supersymmetry in eleven dimensions and its relation to the supermembrane action is clear.

Numerical Simulation of the Whole Three-Dimensional Flow in a Stirred Tank with Anisotropic Algebraic Stress Model

In accordance to the anisotropic feature of turbulent flow, an anisotropic algebraic stress model is adopted to predict the turbulent flow field and turbulent characteristics generated by a Rushton disc turbine with the improved inner-outer iterative procedure. The predicted turbulent flow is compared with experimental data and the simulation by the standard κ-ε turbulence model. The anisotropic algebraic stress model is found to give better prediction than the standard κ-ε turbulence model. The predicted turbulent flow field is in accordance to experimental data and the trend of the turbulence intensity can be effectively reflected in the simulation. The distribution of turbulent shear rate in the stirred tanks was simulated with the established numerical procedure.

High—Dimensional Integrable Models with Infinitely Dimensional Virasoro—Type Symmetry Algebra

Using every realization of the Virasoro-type symmetry algebra [o(f1) o(f2)] = σ(f1f2 - f2f1), we can obtain various high-dimensional integrable models under the meaning that they possess infinitely many symmetries. By means of a concrete realization, many (3 + 1)-dimensional equations which possess Kac Moody-Virasoro-type infinite dimensional symmetry algebras are obtained.

The rough representation and measurement of quotient structure in algebraic quotient space model

Granular computing is a very hot research field in recent years. In our previous work an algebraic quotient space model was proposed,where the quotient structure could not be deduced if the granulation was based on an equivalence relation. In this paper,definitions were given and formulas of the lower quotient congruence and upper quotient congruence were calculated to roughly represent the quotient structure. Then the accuracy and roughness were defined to measure the quotient structure in quantification. Finally,a numerical example was given to demonstrate that the rough representation and measuring methods are efficient and applicable. The work has greatly enriched the algebraic quotient space model and granular computing theory.

FOUNDATION OF NUCLEAR ALGEBRAIC MODELS

Based upon Tomonoga-Rowe's many body theory, we find that the algebraic models, including IBM and FDSM are simplest extension of Rowe-Rosensteel's sp(3R).Dynkin-Gruber's subalgebra embedding method is applied to find an appropriate algebra and it's reduction chains conforming to physical requirement. The separated cases sp(6) and so(8) now appear as two branches stemming from the same root D6-O(12). Transitional ease between sp(6) and so(8) is inherently include.

Explicit Algebraic Stress Model for Three-Dimensional Turbulent Buoyant Flows Derived Using Tensor Representation

An explicit algebraic stress model (EASM) has been formulated for two-dimensional turbulent buoyant flows using a five-term tensor representation in a prior study. The derivation was based on partitioning the buoyant flux tensor into a two-dimensional and a three-dimensional component. The five-term basis was formed with the two-dimensional component of the buoyant flux tensor. As such, the derived EASM is limited to two-dimensional flows only. In this paper, a more general approach using a seven-term representation without partitioning the buoyant flux tensor is used to derive an EASM valid for two- and three-dimensional turbulent buoyant flows. Consequently, the basis tensors are formed with the fully three-dimensional buoyant flux tensor. The derived EASM has the two-dimensional flow as a special case. The matrices and the representation coefficients are further simplified using a four-term representation. When this four-term representation model is applied to calculate two-dimensional homogeneous buoyant flows, the results are essentially identical with those obtained previously using the two-dimensional component of the buoyant flux tensor. Therefore, the present approach leads to a more general EASM formulation that is equally valid for two- and three-dimensional turbulent buoyant flows.

su(1,2) Algebraic Structure of XYZ Antiferromagnetic Model in Linear Spin-Wave Frame

在线性纺纱波浪框架的铁磁性的模型明确地被给看有 su (1,2 ) 的 XYZ 反代数学的结构：Hamiltonian 能作为 su (1,2 ) 的线性功能被写代数学发电机。基于它，精力特征值被使用类似的转变，和代数学的 diagonalization 方法获得被调查。一些数字答案被给，并且结果显示一个仅仅组答案能在物理被接受。

Monotonic Property in Field Algebra of G-Spin Model

Let F be the field algebra of G -spin model, D(G) the double algebra of a finite group G and D(H) the sub-Hopf algerba of D(G) determined by the subgroup H of G . The paper builds a correspondence between D(H) and the D(H) -invariant sub- C * -algebra A H in F, and proves that the correspondence is strictly monotonic.

Algebraic or Algorithmic: Searching for Optimal Solutions in Multi-Stage Supply Chain Models

In this paper we proposed an AMH Supply Chain model to obtain optimal solutions for Two-, Three- and Four-Stage for deterministic models. Besides deriving its algebraic solutions, a simple searching method is successfully applied in obtaining optimal total costs and its integer multipliers. Our model has shown promising results in comparison to Equal Cycle Time and other existing ones. The tests focused on obtaining optimal total annual costs and other related details of Two-, Three- and Four-Stage for deterministic models. The results are run under Visual Basic Programming platform using Intel? CoreTM2 Duo T6500 Processor.

Algebraic Attack on Filter-Combiner Model Keystream Generators

Algebraic attack was applied to attack Filter-Combintr model keystreamgenerators. We proposed the technique of function composition to improve the model, and the improvedmodel can resist the algebraic attack. A new criterion for designing Filter-Combiner model was alsoproposed: the total length I. of Linear Finite State Machines used in the model should be largeenough and the degree d of Filter-Combiner function should be approximate [L/2].

The Cyclic Universes Model Based on the Split Division Algebras

The proposed cyclic universes model based on the split division algebras accounts for the inflation, the Big Bang, gravity, dark energy, dark matter, the standard model, and the masses of all elementary particles. The split algebras (complex quaternion and complex octonion) as the Furey model generate the fixed spacetime dimension number for the observable universe with the fixed 4-dimensional spacetime (4D) standard model particles and the oscillating spacetime dimension number for the oscillating universes (hidden or dark energy) with the oscillation between 11D and 11D through 10D and between 10D and 10D through 4D. 11D has the lowest rest mass, the highest speed of light, and the highest vacuum energy, while 4D has the highest rest mass, the lowest (observed) speed of light, and zero vacuum energy. In the cyclic universes model, the universes start with the positive-energy and the negative-energy 11D membrane-antimembrane dual universes from the zero-energy inter-universal void, and are followed by the transformation of the 11D membrane-antimembrane dual universes into the 10D string-antistring dual universes and the external dual gravities as in the Randall-Sundrum model, resulting in the four equal and separate universes consisting of the positive-energy 10D universe, the positive-energy external gravity, the negative-energy 10D universe, and the negative-energy external gravity. Under the fixed spacetime dimension number, the positive-energy 10D universe is transformed into 4D standard model particles through the inflation and the Big Bang. Dark matter is the right-handed neutrino, exactly five times of baryonic matter in total mass in the universe. Under the oscillating spacetime dimension number, the other three universes oscillate between 10D and 10D through 4D, resulting in the hidden universes when D > 4 and dark energy (the maximum dark energy = 3/4 = 75%) when D = 4. Eventually, all four universes return to the 10D universes.

Algebraic-Stress Turbulent Model of Planar 2-D Pollutant Transportation in Curvilinear Coordinates

The shallow-water equations and pollutant convective-diffusive equation are transformed into curvilinear coordinate system. The anisotropic algebraic-stress turbulent model is introduced to simulate the turbulence items, and algebraic-stress turbulent model of planar 2-D pollutant convective-diffusive in curvilinear coordinates is build. The meandering channel with measured data of concentration in lab is adopted to validate the model, and the distribution figure of pollutant concentration field calculated through this model and that of the k-ε model, which show the model is superior to k-ε turbulent model in dealing with anisotropy character of flow.

基于OBE理念的线性代数混合式教学模式设计

OBE教育理念是一种基于成果导向的新型教育模式,该教育理念明确了学生应具备的基本素质和能力,强调以学生为中心,注重学生的学习产出成果。针对当前线性代数混合式教学过程中存在的一些常见问题,设计了一种线性代数“线上+线下”混合式教学模式。该教学模式践行OBE教育理念,突出应用型人才培养要求,实现全方位评价学生,注重课程思政的有效融入,体现了将价值塑造、知识传授和能力培养融为一体的“新工科”背景下新时代育人要求。

Modelica模型的相容初始化

基于Modelica语言建立的仿真模型可以映射为一个微分代数方程系统。求解微分代数方程系统需要为其设定初始值。简要介绍了Modelica语言,讨论了Modelica模型初始条件的设定方式,给出了隐含约束的获取方法,以及初始条件的相容性判定方法和相容初始值求解策略。给出实例表明了方法的有效性。

箱装废物γ核素的直接测量方法及验证

在获取γ放射性核素活度信息时,常规技术难以对放射性固体废物钢箱进行有效、全面分析,需利用非破坏性测量分析技术在钢箱处置前对其整体测量,国内目前尚无可对废物钢箱进行直接测量的方法及系统。本文通过对γ射线光谱测量分析算法的离散处理,结合传统CT原理,将放射性固体废物钢箱离散为2×5×3个体素,应用蒙特卡罗模拟结合代数重建技术建立了检测效率校准模型,完成了体素间串扰修正,解决了FA-Ⅳ型钢箱内γ放射性核素的直接测量问题,建立了相应的测量系统。为验证系统的可靠性,对钢箱内废物取样,送实验室进行γ射线光谱测量分析,并将两种方法的测量结果进行对比分析。结果显示,二者的相对偏差小于35%,验证了此系统的箱装废物直接测量方法可满足放射性固体废物钢箱测量分析和处置场废物接收数据测量误差在50%范围内的要求。

基于创新应用能力培养的“线性代数”教学改革——融入数学建模实践

“线性代数”课程是大学数学中的一门重要基础课,具有理论性、逻辑性、抽象性强的知识特点,并在许多实际领域中有着广泛的、深刻的应用背景与意义。为了落实综合应用型本科院校的人才培养目标,综合分析了传统的“线性代数”课程的特点和教学所面临的困难与挑战,并从理论联系实际出发,具体地阐述了一种将数学建模思想融入“线性代数”课程教学的改革方案与建议,增强学生利用数学建模思想解决实际问题的意识与能力,切实提升学生的认知层次与知行合一的能力。

应用型本科高校线性代数全英语课程建设探索

当今世界对国际化人才的需求日益增长,高等教育的国际化水平亟待提高。线性代数作为国际上几乎所有高等院校的理工科专业均开设的课程,国际化资源丰富,课程应用性强,非常适合应用型本科高校进行全英文教学开展。该线性代数全英语课程的建设以培养学生的数学素养、实践能力、国际化视野和家国情怀为教学目标,依托雨课堂平台开展融入思政元素的线上线下混合式教学改革。

基于数值延拓方法的自振荡凝胶周期调控

自振荡凝胶是一类由自振荡反应驱动的高分子形变聚合物,其无需外界刺激就会自发地形成周期性的形变,广泛运用于仿生蠕动机器人的研究。自振荡凝胶的化学-力学耦合关系一直是研究的重点,本文基于Ru(bpy)3催化IPAAm(N-isopropylacrylamide)高分子凝胶的力学特征及BZ(Belousov-Zhabotinsky)反应的三维Oregonator模型构造自振荡凝胶的化学-力学耦合动态模型,并构建数值延拓算法分析自振荡凝胶周期性随反应参数和力学参数变化情况。通过本文构建的微分-代数方程组数值延拓方法,可以有效求解自振荡凝胶的极限环,为自振荡凝胶周期调控提供设计基础。