STRONG LAW OF LARGE NUMBERS AND SHANNON-MCMILLAN THEOREM FOR MARKOV CHAINS FIELD ON CAYLEY TREE

This paper studies the strong law of large numbers and the Shannom-McMillan theorem for Markov chains field on Cayley tree. The authors first prove the strong law of large number on the frequencies of states and orderd couples of states for Markov chains field on Cayley tree. Then they prove the Shannon-McMillan theorem with a.e. convergence for Markov chains field on Cayley tree. In the proof, a new technique in the study the strong limit theorem in probability theory is applied.

STRONG LAW OF LARGE NUMBERS AND ASYMPTOTIC EQUIPARTITION PROPERTY FOR NONSYMMETRIC MARKOV CHAIN FIELDS ON CAYLEY TREES

Some strong laws of large numbers for the frequencies of occurrence of states and ordered couples of states for nonsymmetric Markov chain fields （NSMC） on Cayley trees are studied. In the proof, a new technique for the study of strong limit theorems of Markov chains is extended to the case of Markov chain fields, The asymptotic equipartition properties with almost everywhere （a,e.） convergence for NSMC on Cayley trees are obtained,

CONVERGENCE RATES IN THE STRONG LAWS OF NONSTATIONARYρ~*-MIXING RANDOM FIELDS

By using a Rosenthal type inequality established in this paper, the complete convergence and almost sure summability on the convergence rates with respect to the strong law of large numbers are discussed for *-mixing random fields.

The Basic Concepts and Basic Laws Relating to Matter and Gravitational Fields in Physics

In this work, the author applied the universal gauge field theory and Noether theorem to prove that universality exists for the Lorentz and Levi-Civita law of conservation of energy momentum tensor density. We also found that this conservation law has profound implications in physics. For example, based on this law, one can explore the origin of the matter field, and propose a new view about what is “dark energy” and what is “dark matter”.

The Natural Law of Transition of a Charged Particle into a Compound State under the Action of an Electroscalar Field

This article is the continuation of article [1] where the experimental facts of observation of the electroscalar radiation in the spectrum of the Sun have been presented [2]. This radiation comes into the world having a long wavelength, being longitudinal and extraordinarily penetrating. In accordance with the principle of least action, the Lagrangian of the electroscalar field and the tensor of energy-moment are determined using the variation the potential and coordinates. The equation of motion the charged particle in electroscalar field is determined and the energy of particle has the negative sign with respect to the mechanical energy of particle and the energy of electromagnetic field. So, this is decreasing the electrical potential of particle during the propagation. The electroscalar energy of charged particle and field’s force acting on the particle during their motion change the particle’s electrical status which, in its turn, may trigger the transition of the particle into a compound state during interaction with any object. Due to the continuity this process can lead the particle to the state which enters into a compound state with a negative energy for a different particle’s velocity. This state is the physical vacuum’s state. Analysis of the solar spectrum demonstrates that scattering and absorption of electroscalar wave go on the cavities of solids. The spreading out of electroscalar field obeys to the law of plane wave and the transfer the energy and information can occur in vacuum and any medium.

New approach for obtaining the time-evolution law of a chaotic light field in a damping gaining-process

A new approach for studying the time-evolution law of a chaotic light field in a damping-gaining coexisting process is presented. The new differential equation for determining the parameter of the density operator p（t） is derived and the solution of f for the damping and gaining processes are studied separately. Our approach is direct and the result is concise since it is not necessary for us to know the Kraus operators in advance.

科技法的领域法定位与体系构建

科技法作为伴随科学技术发展产生的新兴学科,是我国法律体系的重要组成部分。面对复杂的科技法律现象和法律关系,以部门法思维定位科技法,存在逻辑难以自洽、无法适应社会发展及阻碍科技法研究与发展等问题。领域法作为回应新兴学科的研究范式,以问题导向性和开放性为基本特点。科技法契合了领域法的特点,将其定位为领域法,可有效回应科技发展中的领域性问题,突破部门法研究的隔离化,促进科技法的整体研究。完善领域法视域下科技法律的体系构建,应当明确其基本要求,确立《科技进步法》的基本法地位,健全科技领域的专门法,衔接好科技法律自身规范与其他领域科技法律规范的关系,保持两者之间的“分”与“合”的张力,由此形成科技法律体系内外协调的层次序列。同时,领域法并非否定传统部门法,包含科技法在内的领域法与传统部门法共同构成中国特色社会主义法律体系。

Malus’ Law Derived from Deterministic Particle Behavior

A polarized beam of energy is usually interpreted as a set of particles, all having the same polarization state. Difference in behavior between the one and the other particle is then explained by a number of counter-intuitive quantum mechanical concepts like probability distribution, superposition, entanglement and quantized spin. Alternatively, I propose that a polarized beam is composed of a set of particles with a cosine distribution of polarization angles within a polarization area. I show that Malus’ law for the intensity of a beam of polarized light can be derived in a straightforward manner from this distribution. I then show that none of the above-mentioned counter-intuitive concepts are necessary to explain particle behavior and that the ontology of particles, passing through a polarizer, can be easily and intuitively understood. I conclude by formulating some questions for follow-up research.

Biquaternionic Model of Electro-Gravimagnetic Field, Charges and Currents. Law of Inertia

One the base of Maxwell and Dirac equations the one biquaternionic model of electro-gravimagnetic (EGM) fields is considered. The closed system of biquaternionic wave equations is constructed for determination of free system of electric and gravimagnetic charges and currents and generated by them EGM-field. By using generalized functions theory the fundamental and regular solutions of this system are determined and some of them are considered (spinors, plane waves, shock EGM-waves and others). The properties of these solutions are investigated.

RENEWAL OF BASIC LAWS AND PRINCIPLES FOR POLAR CONTINUUM THEORIES (X) -MASTER BALANCE LAW

Through a comparison between the expressions of master balance laws and the conservation laws derived by Noether＇s theorem, a unified master balance law and six physically possible balance equations for micropolar continuum mechanics are naturally deduced. Among them, by extending the well-known conventional concept of energymomentum tensor, the rather general conservation laws and balance equations named after energy-momentum, energy-angular momentum and energy-energy are obtained. It is clear that the forms of the physical field quantities in the master balance law for the last three cases could not be assumed directly by perceiving through the intuition. Finally, some existing results are reduced immediately as special cases.

Pulsed Magnetic Field Measurement Outside Finite Length Solenoid: Experimental Results &Mathematical Verification

The paper deals with magnetic field mapping outside a finite length solenoid electromagnet, by an in-house designed and calibrated inductive pick-up or search coil. The search coil is calibrated in a unique methodology based on the azimuthal magnetic field component generated by a straight wire. This unique calibration technique helps us to avoid additional circuitry to integrate the signal obtained from search coil. The methodology proves advantageous in diffusion, implosion studies where the signal frequency changes with dimension and material of experimental job-piece (hollow metal tube). Remedial measures have been taken to avoid electrostatic capacitive pick-up (which eventually exacerbates with integration) keeping measurement simple and accurate. The experimentally measured field values have also been compared with electromagnetic field results obtained from mathematical calculations and finite element based simulations. Two different mathematical approaches have been demonstrated for field computation based on Biot-Savart Law. Both the methods have taken into account the exact geometry of the solenoid, including the inter-turn gaps. The methods use appropriate combination of closed-form mathematical expression and numerical integration techniques and are capable of determining all the vector components of magnetic field anywhere around the finite length solenoid. The mathematical computations are equally significant contributions in the paper especially because exact determination of magnetic fields outside finite length solenoids has not been discussed in sufficient specific details in already existing literature. The mathematical computations, finite element simulations and experimental verification together provide a holistic solution to magnetic field determination problems in pulse power applications that have not been discussed in available literature or books in specific details.

中国信用法学自主知识体系的构建

在我国社会信用体系建设过程中,社会信用似乎成为核心概念。从概念产生的角度观察,“社会信用”与“信用”为同一含义,“社会”只是强调信用应用领域的广泛性,宜采用“信用”之称。目前,信用的外延已经从传统的经济信用扩展至公共信用,展现出浓厚的本土色彩。信用领域的扩展导致信用法学研究对象的非单一性,信用法学应纳入领域法学而非部门法学的范畴。据此,问题导向的视角、实用主义的立场和兼容并蓄的路径构成了信用法学自主知识体系建构的方法论。以之为指导,立足中国信用实践,关切遏制公权和维护私益的信用立法价值取向,阐明本土化的概念系统,以信用法律关系和信用信息处理规则为双重主线叙事,才能实现信用法学自主性和体系化。

CONSTITUTIVE RELATION OF UNSATURATED SOIL BY USE OF THE MIXTURE THEORY (Ⅱ)—LINEAR CONSTITUTIVE EQUATIONS AND FIELD EQUATIONS

The linear constitutive equations and field equations of unsaturated soils were obtained through linearizing the nonlinear equations given in the first part of this work. The linear equations were expressed in the forms similar to Biot's equations for saturated porous media. The Darcy's laws of unsaturated soil were proved. It is shown that Biot's equations of saturated porous media are the simplification of the theory. All these illustrate that constructing constitutive relation of unsaturated soil on the base of mixture theory is rational.

A Unified Definition of Electrostatic and Magnetic Fields

This article originates from the observation that field lines are drawn using distinctive rules in magnetic field and electrostatic fields. It aims at reconciliating the definitions of these fields and thus reaching a consensus on the interpretation of field lines. Our unified field definition combines three orthogonal vectors and a unique scalar value. Field lines are then defined as isovalue lines of the scalar value, rendering it simpler to interpret in both field types. Specific to our field definition is the use of square root of vector’s cross product so that all vectors have the same physical unit. This enhanced field definition also enables a more efficient calculation of Biot-Savart law. This article is the first of a series allowing the drawing of isovalue contour lines.

Time evolution of a squeezed chaotic field in an amplitude damping channel when used as a generating field for a squeezed number state

We investigate how an optical squeezed chaotic field（SCF） evolves in an amplitude dissipation channel. We have used the integration within ordered product of operators technique to derive its evolution law. We also show that the density operator of SCF can be viewed as a generating field of the squeezed number state.

钻井离心机重晶石沉降规律及回收效率分析

钻井液离心机是油田现场加重钻井液处理的重要设备,离心机操作参数是否合理对重晶石的回收效率至关重要。考虑加重钻井液中重晶石的流场特性,基于离心机几何模型和流场边界条件,通过对钻井液-有害固相-重晶石三相流动的瞬态流场特征进行了数值模拟,分析结果表明距离出渣口越近,重晶石的沉积厚度越大,且离心机锥段部分重晶石的沉积厚度远大于柱段的沉积厚度;通过对卧螺离心机参数建模,得到了离心机螺距、半锥角和叶片倾角对重晶石分离效率的影响。分析结果表明,钻井液离心机沉渣池中重晶石的含量远远大于有害固相;而溢流口处重晶石和有害固相的含量差异较小;随着螺距的增大,沉渣池中重晶石的分离回收效率明显降低,而溢流口的重晶石含量呈现上升的趋势;随着半锥角和叶片倾角的增大,沉渣池中重晶石含量在一定范围内达到峰值。

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.

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.

数字经济时代税收法定原则的 重申及其实现路径

数字经济的勃兴带来了生产要素、交易方式、商业模式等各方面的革新。由于传统经济模式的税法规则难以适应数字经济时代发展的要求,如严格依循现有税法规则,则可能带来财政权益受损、税收征管困难等消极后果。为此,兼顾需要与可能,数字经济时代有必要重申税收法定原则;通过梳理税收法定原则的现代化变迁与我国落实税收法定原则的实践,把握税收法定原则的本质要求;探明数字经济背景下税收法定原则的适用路径并对传统税法规则予以调整;同时,赋予行政机关更大的灵活处理空间,适当加大对地方的赋权,在税收法定原则的指引下实现数字经济税收治理的效能提升。

四川盆地三叠系气田型深层富钾锂卤水勘探历程、进展与展望

四川盆地三叠系嘉陵江组和雷口坡组不仅是常规天然气的主要赋存层位,同时也形成和储存了富含钾锂等关键元素的卤水资源。本文梳理总结了四川盆地三叠系气田型深层卤水勘探进程、成因机理、富集规律方面的进展和认识,并对潜在的研究重点进行了展望。四川盆地三叠系气田型深层卤水中钾、锂等关键金属元素均达到了工业品位,随着全球对锂资源需求的增大,由起初的“气钾兼探”逐渐向“气钾锂综合勘探”过渡。四川盆地三叠系深层富钾锂卤水的成因机制大体上相同,其中干旱气候条件下古海水的蒸发浓缩致使卤水中的钾锂富集;高温高压下含钾/锂元素的杂卤石/绿豆岩与埋藏卤水发生水岩反应,进一步促进了钾锂的富集;淋滤作用也是卤水中钾元素富集的重要成因。深层卤水主要储集于各类白云岩中,其富集主要受断裂、裂缝发育带和背斜等构造控制,富集规律可归纳为“孔隙裂缝储卤、断裂运卤、背斜核部富卤”。基于目前四川盆地气田型深层卤水的勘探现状和不足,未来应该加强地球物理勘探集成新技术的研发、资源评价方法与体系的优化、含高品位伴生元素新层系的勘探以及气田型卤水有效开发利用技术的研究。未来有望在四川盆地气田型深层卤水继续取得新的找矿突破。