Noether's theorem for non-conservative Hamilton system based on El-Nabulsi dynamical model extended by periodic laws

This paper focuses on the Noether symmetries and the conserved quantities for both holonomic and nonholonomic systems based on a new non-conservative dynamical model introduced by E1-Nabulsi. First, the E1-Nabulsi dynamical model which is based on a fractional integral extended by periodic laws is introduced, and E1-Nabulsi-Hamilton＇s canoni- cal equations for non-conservative Hamilton system with holonomic or nonholonomic constraints are established. Second, the definitions and criteria of E1-Nabulsi-Noether symmetrical transformations and quasi-symmetrical transformations are presented in terms of the invariance of E1-Nabulsi-Hamilton action under the infinitesimal transformations of the group. Fi- nally, Noether＇s theorems for the non-conservative Hamilton system under the E1-Nabulsi dynamical system are established, which reveal the relationship between the Noether symmetry and the conserved quantity of the system.

Motion State Modification of Coulomb’s Law and Dynamic Gravitation

As we know, Coulomb’s law describes the interaction between static charges. In this paper, the modified formula of Coulomb’s law in the state of charge motion is given. Based on this formula, Ampere’s law and Lorentz’s law of force are derived by pure mathematics. According to the similarity between the formula of universal gravitation and Coulomb’s law, the correction of the formula of universal gravitation under the state of motion is assumed boldly, and some inferences are made on the motion law of celestial bodies.

Dynamic Design of Thick Orthotropic Cantilever Plates with Consideration of Bimoments

The paper is devoted to dynamic design of thick orthotropic cantilever plates by applying the bimoment theory of plates, which takes into account the forces, moments and bimoments;and the theory takes into account nonlinear law of displacements distribution in cross section of the plate. The methods for constructing bimoment theory are based on Hooke’s Law, three-dimensional equations of the theory of dynamic elasticity and the method of displacements expansion into Maclaurin series. The article gives the expressions to determine the forces, moments and bimoments. Bimoment theory of plates is described by two unrelated two-dimensional systems with nine equations in each. On each edge of the plate, depending on the type of fastening, nine boundary conditions are given. As an example, the solution of the problem of dynamic bending of thick isotropic and orthotropic plate under the influence of transverse dynamic loads in the form of the Heaviside function is given. The equations of motion of the plate are solved by numerical method of finite differences. The numerical results are obtained for isotropic and orthotropic plate. The graphs of changes of displacements and stresses of faces surfaces of the plate are presented. Maximum values of these displacements are found and analyzed. It is shown that by Timoshenko theory numerical values of stresses are much smaller compared to the ones obtained by bimoment theory of plates. Maximum numerical values of generalized displacements, forces, moments, and bimoments are obtained and presented in tabular form. The analysis of numerical results is done and the conclusions are drawn.

Has Okun's Law Become Invalid in China?——Estimation of Potential GDP Growth Rates and Natural Rates of Unemployment Based on Dual Structure

This paper calculates the potential GDP growth rates and the natural rates of unemployment in China using the dual decomposition of the simple Okun＇s law. The results show that every 1% increase in China＇s urban registered unemployment rate leads to a 1.98% drop of GDP, the potential growth rate of GDP of China is about 10%, and the average natural rate of unemployment is about 3.2% in China in the past three decades. The paper finds that Olcun＇s law is still valid in China in the long run, but the Okun coefficient is about -3.79, overestimating the impact of the registered unemployment rate on GDP growth, and needs to be corrected based on China＇s dual economic structure.

A New Insight for Faraday’s Law

The origin for one of the fundamental laws of electromagnetism, namely Faraday’s law is explained for the first time on the basis of the presence of strings in the form of a compact liquid. The rate of change of the magnetic field produces a pressure gradient in the medium giving rise to the fluid flow. According to fluid dynamics, the stress and the gradient of strain are originated in the space which creates vibrations in the system and is related with the electric field. The details of the mechanism which produces a circular motion of the electric field, XE, are also addressed.

Function S-rough sets and two law forecast

Function S-rough sets has the properties of dynamics, heredity, and memory. Function S-rough sets is penetrated and crossed with the issue of economic law forecast, then a new forecast model based on function S-rough sets namely the two law forecast model is proposed, which includes upper law forecast model and lower law forecast model; and its＇ implement algorithm is given. Finally, the validity of the model is demonstrated by the forecast for region economic development of Hainan Province.

Covariant Newtonian Dynamics and the Principle of Material Frame-Indifference

As all natural laws, Newtonian dynamics should be governed by Einstein’s Covariance Principle;i.e., being covariant under all coordinate transformations, even time-dependent transformations. But Newton’s Second Law, as it is generally understood, is unchanged only under Galilean transformations, which do not include time-dependent coordinate transformations. To achieve the covariant formulation of Newton’s Second Law, a distinction must be made between frames and coordinate systems, as advanced by the Principle of Material Frame-Indifference, and furthermore, the ordinary time derivative must be replaced by the rotational time derivative. Elevating Newton’s Second Law to covariancy has born many fruits in flight dynamics from the theoretical underpinning of unsteady flight maneuvers to the practical modeling of complex flight engagements in tensors, followed by efficient programming with matrices.

双磁场IMPS粒子速度测试系统

动载下材料横向行为的直接实时测量 ,对于全面了解材料响应及其机理有重要意义 .本文介绍了自行研制的双磁场电磁IMPS粒子速度测试系统的工作原理、结构性能及初步实验结果 .该装置基于Faraday电磁感应定律 ,可实时测量多点斜碰撞产生的纵向和横向质点速度波形 ,从而解决了压剪炮试验中的s波测量问题 .

Theory of Gravitons in Spiral and Dwarf Galaxy Rotation Curves

We hypothesize that gravitons contribute significantly to the process that flattens galaxy rotation curves. Gravitons travelling against a gravitational field experience an energy loss due to gravitational redshift identical to the effect on light. This energy loss requires an increased rotational velocity to stabilize a galaxy. We will show that this approach successfully explains the rotational properties of spiral and dwarf galaxies.

A Self-Stabilized Field Theory of Neutrinos

In “A Self-linking Field Formalism” I establish a self-dual field structure with higher order self-induced symmetries that reinforce the first-order dynamics. The structure was derived from Gauss-linking integrals in R3 based on the Biot-Savart law and Ampere’s law applied to Heaviside’s equations, derived in strength-independent fashion in “Primordial Principle of Self-Interaction”. The derivation involves Geometric Calculus, topology, and field equations. My goal in this paper is to derive the simplest solution of a self-stabilized solitonic structure and discuss this model of a neutrino.

Non-Stationary Random Process for Large-Scale Failure and Recovery of Power Distribution

This work applies non-stationary random processes to resilience of power distribution under severe weather. Power distribution, the edge of the energy infrastructure, is susceptible to external hazards from severe weather. Large-scale power failures often occur, resulting in millions of people without electricity for days. However, the problem of large-scale power failure, recovery and resilience has not been formulated rigorously nor studied systematically. This work studies the resilience of power distribution from three aspects. First, we derive non-stationary random processes to model large-scale failures and recoveries. Transient Little’s Law then provides a simple approximation of the entire life cycle of failure and recovery through a queue at the network-level. Second, we define time-varying resilience based on the non-stationary model. The resilience metric characterizes the ability of power distribution to remain operational and recover rapidly upon failures. Third, we apply the non-stationary model and the resilience metric to large-scale power failures caused by Hurricane Ike. We use the real data from the electric grid to learn time-varying model parameters and the resilience metric. Our results show non-stationary evolution of failure rates and recovery times, and how the network resilience deviates from that of normal operation during the hurricane.

Variable Speed of Light with Time and General Relativity

In a previous article entitled: “Evidences for varying speed of light with time” [1], a series of observational evidence was presented in favor of the hypothesis that the speed of light varies with time according to the relationship dc/dt = -Hc, where H is the Hubble constant which is considered a universal constant. In this paper we propose to elaborate on the observational evidence supporting the hypothesis, and to probe the consequences of this relationship on General Relativity. Also we will provide a theoretical justification of the previous relationship and we will show how from it we can deduce galactic velocity curves. We can deduce the important empirical Tully-Fisher relation linking these curves to the baryonic mass of the galaxy and we can justify the apparent accelerated expansion of the universe without intervening elusive entities such as dark matter and dark energy.

Higher Order Self-Induced Self-Interacting Field

The genesis of physical particles is essentially a mystery. Quantum field theory creation operators provide an abstract mechanism by which particles come into existence, but quantum fields do not possess energy density. I reference several recent treatments of this problem and develop ideas based on self-stabilizing field structures with focus on higher order self-induced self-stabilizing field structures. I extend this treatment in this paper to related issues of topological charge.

Oxidation Kinetics of Aluminum Powders in a Gas Fluidized Bed Reactor in the Potential Application of Surge Arresting Materials

In this technical paper, the oxidation mechanism and kinetics of aluminum powders are discussed in great details. The potential applications of spherical aluminum powders after oxidation to be part of the surging arresting materials are discussed. Theoretical calculations of oxidation of spherical aluminum powders in a typical gas fluidization bed are demonstrated. Computer software written by the author is used to carry out the basic calculations of important parameters of a gas fluidization bed at different temperatures. A mathematical model of the dynamic system in a gas fluidization bed is developed and the analytical solution is obtained. The mathematical model can be used to estimate aluminum oxide thickness at a defined temperature. The mathematical model created in this study is evaluated and confirmed consistently with the experimental results on a gas fluidization bed. Detail technical discussion of the oxidation mechanism of aluminum is carried out. The mathematical deviations of the mathematical modeling have demonstrated in great details. This mathematical model developed in this study and validated with experimental results can bring a great value for the quantitative analysis of a gas fluidization bed in general from a theoretical point of view. It can be applied for the oxidation not only for aluminum spherical powders, but also for other spherical metal powders. The mathematical model developed can further enhance the applications of gas fluidization technology. In addition to the development of mathematical modeling of a gas fluidization bed reactor, the formation of oxide film through diffusion on both planar and spherical aluminum surfaces is analyzed through a thorough mathematical deviation using diffusion theory and Laplace transformation. The dominant defects and their impact to oxidation of aluminum are also discussed in detail. The well-controlled oxidation film on spherical metal powders such as aluminum and other metal spherical powders can potentially become an important part of switch devices of surge arresting materials, in general.

Zipf定律在科里奥利加速度刺激心率动力学分析中的应用

采用Zipf定律建立科里奥利加速度刺激心率动力学分析方法,为前庭功能适应性训练中自主神经响应实时评估需求提供技术手段。25名男性志愿者完成了试验。试验1:转椅180°/s旋转下左右摆头2 min;试验2:转椅180°/s旋转下俯仰头动2 min,诱发加速度刺激。应用Zipf定律分析Polar表记录心率的动力学模式。研究表明:8种心率模式出现频率最高,2项试验的心率模式差异为0.27%±0.05%;相比中年组,青年组具有更明显的迷走神经响应模式(P<0.006);相比曾参训组(0.15%±0.03%),初期参训组2项试验心率模式差别增大(0.43%±0.10%),具有更明显的迷走神经响应模式(P<0.05),训练经验加速度刺激下对心率模式的影响超过年龄因素;运动病症状评分与体温变化量负相关(r=-0.459,P<0.007),而体温变化量与最常出现的3种心率模式发生率正相关(r=0.396~0.459,P<0.03)。应用Zipf定律的心率动力学分析可揭示加速度刺激相关生理规律,应用于前庭自主神经响应动态变化判断。

New ideas on governing equations of fluid dynamics

Classical fluid kinematics or Cauchy-Stokes decomposition mistreated vorticity as fluid rotation and mixed flow stretching with shearing.Classical fluid dynamics or Navier-Stokes(N-S)equations are based on the classical kinematics and treated vorticity as null in contribution of forces and mixed the stretching force with the shearing force,which is not consistent with the Galilean invariancy.N-S equations also neglect the flow rotation.It is believed that N-S equations may work for incompressible and laminar flow but are not satisfied for turbulent flow and compressible flow especially for high-speed flow.Based on Liutex,new fluid kinematics has been established by Liu in 2021,which gives a Liutex-based principal coordinate system and a new principal decomposition in that system,which has been transferred back to the original Cartesian coordinate system.The principal decomposition of velocity gradient tensor has four parts which are called rotation,stretching,anti-symmetric shearing and symmetric shearing.Four forces are derived according to the four parts of the velocity gradient tensor.According to the new fluid kinematics,it is reported in this letter that based on the principal decomposition,a new relation between the velocity gradient tensor and stress-rate tensor has been established to form a new fluid dynamics equation to govern fluid flow.The new governing equation may be applicable to both laminar flow and turbulent flow,and both incompressible flow and compressible flow including high-speed flow for reasonable results with reasonable grids.Further numerical experiment is needed to verify.

The Labor Market and China＇s Economic Cycle： A Discussion of Okun＇s Law in Relation to China

In recent years, the Chinese economy has been facing downward pressure from slowing growth, but there has not been a significant rise in the registered/surveyed unemployment rate. The combination of these factors shows yet again that Okun＇s law does not fit China. Based on empirical observation of the relationship between China＇s economic cycle and its 1 abor market transition, we put forward a broader version of Okun＇s law which is applicable to analyses of the Chinese transition. The specific applications of the broad version of the law are connected with stages of economic development. The standard Okun model, which includes only the unemployment variable, is suited to developed countries in which labor transfer is complete. The broader version of Okun＇s law, which is applicable to transitional economies, introduces a variable for the transfer of agricultural labor. Using Chinese and cross-country panel data, we find that, compared with long-term trends, short-term changes in the transfer of agricultural 1 abor are significantly correlated with the economic cycle. This finding broadens our understanding of the general pattern of the relationship between the labor market and the economic cycle and provides scientific support for employment policy adjustments that takes ＂new urban jobs and the surveyed unemployment rate as an important indicator of macro-adjustment and control.＂

水泥-水玻璃浆液裂隙注浆扩散的室内试验研究

动水环境中的注浆扩散规律对指导突涌水治理注浆设计与施工具有重要意义。通过开展水泥-水玻璃(C-S)浆液单一平板裂隙动水注浆模型试验,揭示了基于试验条件下的C-S浆液裂隙动水注浆扩散过程的非对称椭圆(AE)扩散规律,提出浆水速比的概念并用其拟合AE扩散控制参数随时间的变化曲线,分析了浆水速比对浆液扩散范围的影响,最终建立了描述浆液扩散迹线的瞬态方程。研究结果表明:浆液扩散迹线可以采用随时间变化的非对称椭圆进行描述;逆水扩散距离和扩散开度与浆水速比正相关而浆液顺水扩散距离与浆水速比负相关。并据此对裂隙动水注浆设计提出了建议,希望对实际注浆工程提供一定借鉴。

无乳链球菌感染吉富罗非鱼后体内病原菌的动态分布

【目的】研究吉富罗非鱼感染无乳链球菌后其体内主要器官组织中病原菌的分布及消除规律,为罗非鱼无乳链球菌病的诊断和药物防治提供科学依据。【方法】对吉富罗非鱼进行人工腹腔注射无乳链球菌（HN016菌株）,分别在感染后3、6、12、18、24、48、72、96、120、144、168 h和10、15、20、30 d,随机选取未死亡罗非鱼取样（脑组织、肝脏、前肾和脾脏）划线接种于鸡血培养基上,28℃培养12 h后统计菌落数量。【结果】人工注射感染HN016菌株3 h后,吉富罗非鱼未出现发病症状,但在其脑组织、肝脏、前肾和脾脏均可分离出病原菌;感染18 h后进入发病高峰期,从其肝脏、脾脏分离出的菌落数量明显多于脑组织和前肾,之后各组织的病原菌落数量持续增长并在48～72 h间趋于稳定;感染72 h后各组织分离出的菌落数量逐渐减少;感染10 d后从存活吉富罗非鱼的脑组织已分离不到病原菌,感染20 d后存活鱼体的脑组织、肝脏、前肾和脾脏均未分离出无乳链球菌。【结论】吉富罗非鱼感染无乳链球菌（HN016菌株）的发病死亡高峰期在感染后48～72 h,而无乳链球菌在吉富罗非鱼体内的代谢周期为20 d,因此养殖生产中应注意发病高峰期间的水体消毒及减少饵料投喂。

技术创新理论拓展:来自新古典主义的解释——基于戈森定律、产品创新与工艺创新视角

戈森定律(边际效用定律)是新古典主义的基石,技术创新是熊彼特理论的核心,由于历史及现实原因,鲜有学者关注二者的相容关系。当谈及企业为何创新,如何赢得消费者认可时,二者关系又是绕不开的理论课题。打破二者边界,理顺二者的"源""果"融合关系,运用戈森定律探析企业技术创新的关键——产品创新与工艺创新的必要性和必然性,并从产品创新与工艺创新的动态融合互动模型中明晰技术创新如何驱动需求、产业、社会的更替演变。