Energy Gap in Saturn’s Rings

In this article, we consider, based on the super-diamagnetic model, the new problems of Saturn’s rings discovered by Cassini, such as: 1) anomalous purity of water ice;2) Saturn’s magnetic field alignment with the planet’s rotation axis;3) “ring rain” of the submicron particles;4) the deviation in the qualitative composition of the “rain” from the composition of the rings;5) “dirt” concentrated in the ring gaps;6) “plateaus” in Saturn’s C ring;7) age of the rings;8) roll-off in the spectrum of Saturn’s rings, and 9) “propellers” in Saturn’s A ring. Interpretation of Cassini’s observations of spectral roll-off in Saturn’s rings in the wavelength range from 100 micrometers to 0.5 mm is given. It was concluded that the substance of the rings could be in the superconducting state. An explanation of the Cassini spectral data is given using the hypothesis of the existence of a superconducting energy gap in the substance of rings.

深水采油树Spring-Seal密封圈接触模型构建与实验测试

为提高深水采油树在高压、高温、低温等工况下长时间工作的稳定性,对采油树密封圈进行重新设计,提出Spring-Seal密封圈(以下简称S密封圈);基于赫兹接触理论、填料密封接触理论,重新构建S密封圈接触力学模型;建立有限元仿真分析模型,分析不同条件下S密封圈的密封性能,同时验证新建接触模型的合理性;利用实验测试S密封圈的实际密封效果。研究结果表明:S密封圈在高压、高温、低温等工况下能够长时间稳定工作且密封性能良好。研究结果可为S密封圈的接触研究及工程运用提供理论参考。

Space Magnetism and Superconductivity: Diamagnetic Expulsion, Meissner Effect, Magnetic Pressure and Quantum Trapping Lead to the Origin and Stability of the Saturn Rings

Existence of the magnetic field of Saturn and the temperature around 70 - 100 K nearby of it bring us to the idea of diamagnetism and superconductivity of the rings particles. The rings could emerge from the icy particles moving on chaotic orbits around Saturn within protoplanetary cloud. After appearance of the magnetic field of Saturn all chaotic orbits of icy particles start to shift to the magnetic equator plane, where there is a minimum of the particles magnetic energy, due to diamagnetic force of expulsion like Meissner phenomenon. Each particle comes to the stable position preventing its own horizontal and vertical shift. Particles are locked within three-dimensional magnetic well due to Abrikosov quantum vortex phenomenon for superconductor. This mechanism is valid and it works even particles have a small fraction of superconductor. Final picture is similar to the picture of iron particles forms the same shape around a magnet on laboratory table. Any other phenomena like gravity resonances, dusty plasma and others may bring some peculiarities to the final picture of the rings. It follows that magnetic field of Saturn and low temperature around of it are the main reason for the rings origin and the rings is product of the early time of the magnetic field of Saturn appearance. Additional matter to the rings also may come from the frozen water particles generated from the Saturn sputniks geysers due to magnetic coupling between planet and satellites. The data of Cassini mission to Saturn rings are conforming suggested theory of their origin and existence.

Quantum Locking and the Meissner Effect Lead to the Origin and Stability of the Saturn Rings System

It is demonstrated how superconducting iced particles of the protoplanetary cloud of Saturn are coming to magnetic equator plane and create the stable enough rings disk. There are two steps. First, after appearance of the Saturn magnetic field due to Meissner phenomenon, all particles orbits are moving to the magnetic equator plane. Finally they become distributed as rings and gaps like iron particles around magnet on laboratory table. And they are separated from each other by the magnetic field expelled from them. It takes up to few tens of thousands years with ten meters rings disk thickness. Second, because of quantum locking all particles become to be locked within magnetic well at the magnetic equator plane due to Abrikosov vortex for superconductor. Finally each particle is locked within three-dimensional magnetic well. It works even when particles have small fraction of superconductor. During the rings evolution some contribution to the disk also could come from the collision-generated debris of the current moon, coming meteorites and from the geysers like it happened due to magnetic coupling of Saturn and Enceladus. The rings are relict of the early days of the magnetic field of Saturn system.

About Role of Electromagnetism to the Saturn Rings Origin<br/>—To the Unified Theory of the Planetary Rings Origin

Experimental data observation of the Saturn rings points to the conjecture that the particles constituting the rings may be superconductive. The main argument for this based on the fact that Saturn has a magnetic field and the temperature in its vicinity is low enough. Electromagnetic modeling shows the rings system emerges some time after appearance of the planetary magnetic field. Rings can be a result of the interaction of the superconducting carbon doped ice particles of the protoplanetary cloud with the nonuniform magnetic field. At the beginning all Keplerian orbits of the particles are located within protoplanetary cloud. After appearance of the magnetic field of Saturn, all iced particles demonstrate superconductivity and their orbits start to move to the magnetic equator plane where there is a minimum of magnetic energy. And then particles redistributed like iron particles nearby magnet on laboratory table forming system of rings and gaps. But rings particles are not stuck together because of Meissner phenomenon. The gravitational resonances and other interactions also play an important role and they help bring the order to the system of rings and gaps. It becomes to be clear why the rings appear only for the planets with magnetic field outside the asteroid belt such as Jupiter, Saturn, Uranus and Neptune. Inside the asteroid belt Sun’s heat is destroying superconductivity. Scenario of the rings creation for all planets could be the same. So we are coming to the unified theory of the rings origin. The presented model allows enriching the well-known theories that treat gravitational, mechanical, gas-plasma, dusty plasma and magnetohydrodynamic interactions in a consistent way.

Could Superconductivity Contribute to the Saturn Rings Origin?

The article shows how the phenomenon of superconductivity can contribute to the origin of Saturn rings. The main argument for this coming from the general physics consideration and based on the fact that Saturn has a magnetic field, and the temperature of the environment in its vicinity is low enough to think about superconductivity.

Superconductivity of Saturn Rings: Quantum Locking, Rings Disc Thickness and Its Time Creation

The article demonstrates how rings disc of Saturn was created after appearance of the planetary magnetic field from superconducting iced particles of the protoplanetary cloud moving around planet by chaotic orbits. It is based on the fact that Saturn has magnetic field and the temperature of its vicinity is low enough to have superconductivity. Electromagnetic simulation estimates time of rings disc formation with the thickness about few meters from a few thousand years up to few tens of thousands of years. A rings disk has a stable structure located within magnetic equator of Saturn due to quantum locking of the particles by planetary magnetic field. Also may happened contribution to the rings disc from the debris of the moons migrated inward towards Saturn and particles of the frozen water coming from the geyser of the geologically active satellite (as Enceladus contributed to the E-ring). Suggested mechanism of the rings formation works even in case where only a small fraction of the particles poses superconductivity. Presented electromagnetic modeling of the role of superconducting iced particles of the rings disc origin, dynamics and evolution allow us to enrich the classical theories based on gravitational, mechanical, magnetohydrodynamic and plasma interactions.

<i>S</i>-Injective Modules and Rings

We introduce and investigate the concept of s-injective modules and strongly s-injective modules. New characterizations of SI-rings, GV-rings and pseudo-Frobenius rings are given in terms of s-injectivity of their modules.

A COMMUTATIVITY CONDITION FOR S-UNITAL RINGS

Let R be an s-unital ring, and we prove a commutativity theorem of R satisfying the following conditions: (l ) For each x, y∈ R,there exist bounded positive integers k =k (x,y), s=s (x,y), t =t (x,y)(where, at least one of k, s, t is not equal to 1) such

Nilpotent Elements and Nil-Reflexive Property of Generalized Power Series Rings

Let R be a ring and (S,≤) a strictly ordered monoid. In this paper, we deal with a new approach to reflexive property for rings by using nilpotent elements, in this direction we introduce the notions of generalized power series reflexive and nil generalized power series reflexive, respectively. We obtain various necessary or sufficient conditions for a ring to be generalized power series reflexive and nil generalized power series reflexive. Examples are given to show that, nil generalized power series reflexive need not be generalized power series reflexive and vice versa, and nil generalized power series reflexive but not semicommutative are presented. We proved that, if R is a left APP-ring, then R is generalized power series reflexive, and R is nil generalized power series reflexive if and only if R/I is nil generalized power series reflexive. Moreover, we investigate ring extensions which have roles in ring theory.

S环形无碳小车结构设计与分析

依据全国大学生工程训练综合能力竞赛S环形赛道挑战赛要求,实现无碳小车完成S环形轨迹路径并通过设置障碍桩,详细设计了一辆利用斜推杆凸轮控制转向的无碳小车。文中对小车的整体结构进行了设计,基于设计尺寸模拟仿真出轨迹重合度最高的凸轮,设计出的无碳小车具有结构简单、可靠性高及成本低等优点。为此,利用SolidWorks软件建立三维模型,利用Creo规划轨迹图,利用MATLAB仿真小车行走路线并生成凸轮。文中设计的无碳小车对初次设计的人员具有指导意义。

S-平坦模和S-余挠模

通过引入并研究了S-平坦模和S-余挠模。证明了任意R-模都有S-平坦盖和S-余挠包。利用S-平坦模和S-余挠模刻画了S-vN正则环和完全环。通过一些例子来区别平坦模和S-平坦模,以及内射模,S-余挠模和余挠模。

CO_(2)/CO干扰下基于腔衰荡吸收光谱的痕量H_(2)S浓度测量

H_(2)S作为一种有毒且腐蚀性较强的气体污染物,实现其浓度的准确测量意义重大.实际工业过程中,H_(2)S测量常受其他排放产物的干扰,本文基于腔衰荡吸收光谱技术(CRDS)通过扫描6336—6339 cm^(-1)范围内的吸收光谱,实现了H_(2)S/CO_(2)/CO三组分物质浓度的同步测量,为实际工业过程中物质干扰下的H_(2)S浓度测量提供新思路.首先,对不同采样长度下提取衰荡时间的准确性进行分析,发现衰荡信号的采样长度约为衰荡时间的8倍时,衰荡时间提取效果最好;通过不同压力对比实验确定最佳实验压力工况为50 kPa,并将最佳采样长度与压力工况应用于H_(2)S浓度测量.随后,改变H_(2)S浓度对CO_(2)/CO干扰下系统对痕量H_(2)S浓度的测量效果进行检验,并对不同稀释比例下浓度测量结果的线性度进行分析.最后,对本文CRDS系统的检测限进行分析,通过对4组低浓度H_(2)S光谱的信噪比进行分析,得到H_(2)S的检出限为6.9 ppb (1 ppb=10^(-9));通过对系统长期测量结果进行Allan方差分析,得到系统对H_(2)S物质浓度的检测下限约在2 ppb左右.

APPROXIMATE CONVEXITY AND CONCAVITY OFGENERALIZED GROTZSCH RING FUNCTION

In this paper, the so-called approximate convexity and concavity properties of generalized Groetzsch ring function μa （r） by studying the monotonieity,convexity or concavity of certain composites of μa（r） are obtained.

Ring-opening Polymerization ofε-Caprolactone Using Lanthanide Tris(4-tert-butylphenolate)s as a Single-component Initiator

The ring-opening polymerization of e-caprolactone (CL) initiated by novel single lanthanide tris(4-tert-butylphenolate)s [Ln(OTBP)3] is reported. Single-component La(OTBP)3 can effectively prepare polycaprolactone (PCL) with over 90% yield and viscosity average molecular weight about 60 x 10 under quite mild conditions: molar ratio of CL to initiator is 1000, 60 C, 2 h in toluene. Mechanism study indicates that the monomer inserts into the growing chain via the break of acyl-oxygen bond of CL.

The Kemeny’s Constant and Spanning Trees of Hexagonal Ring Network

Spanning tree(τ)has an enormous application in computer science and chemistry to determine the geometric and dynamics analysis of compact polymers.In the field of medicines,it is helpful to recognize the epidemiology of hepatitis C virus(HCV)infection.On the other hand,Kemeny’s constant(Ω)is a beneficial quantifier characterizing the universal average activities of a Markov chain.This network invariant infers the expressions of the expected number of time-steps required to trace a randomly selected terminus state since a fixed beginning state si.Levene and Loizou determined that the Kemeny’s constant can also be obtained through eigenvalues.Motivated by Levene and Loizou,we deduced the Kemeny’s constant and the number of spanning trees of hexagonal ring network by their normalized Laplacian eigenvalues and the coefficients of the characteristic polynomial.Based on the achieved results,entirely results are obtained for the M鯾ius hexagonal ring network.

Goldbach's Problem in the Matrix Ring over a Principal Ideal Domain

In this paper, we consider the Goldbach＇s problem for matrix rings, namely, we decompose an n × n （n 〉 1） matrix over a principal ideal domain R into a sum of two matrices in Mn,（R） with given determinants. We prove the following result： Let n 〉 1 be a natural number and A = （aij） be a matrix in Mn（R）. Define d（A） ：= g.c.d{aij}. Suppose that p and q are two elements in R. Then （1） If n 〉 1 is even, then A can be written as a sum of two matrices X, Y in Mn（R） with det（X） = p and det（Y） = q if and only if d（A） [ p - q; （2） If n 〉 1 is odd, then A can be written as a sum of two matrices X, Y in Mn（R） with det（X） = p and det（Y） = q if and only if d（A） ｜ p ＋ q. We apply the result to the matrices in Mn（Z） and Mn（Q[x]） and prove that if R = 7. or Q[x], then any nonzero matrix A in Mn（R） can be written as a sum of two matrices in Mn（R） with prime determinants.

On the Convexity of Generalized Grotzsch Ring Function

In this paper,the authors study the monotoneity and convexity of certain combinations and composites defined in terms of the generalized Grotzsch ring function μa (r), which appears in Ramanujan' s generalized modular equations,and obtain some inequalities for this function.

Classic of Mountains and Seas and the Origin of White Jade Worship： On the Myths of the Yellow Emperor＇s Eating Jade and Queen Mother of the West＇s Presenting the White Jade Ring

The white jade worship, born in the Shang and Zhou Dynasties, brought about a ＂Protestant Revolution＂ in the development history of Chinese jade mythology, which had deep influence on the nation＇s ideology and material production in the following 3,000 years. The myths of the Yellow Emperor＇s eating the white jade cream and the Queen Mother of the West living in Kunlun Jade Mountain, as recorded in Classic of Mountains and Seas, are mythological imaginations of the historical reality that the jades were spread from the West to the East and recreated by people living in the early state of the Central Plains. All such motifs, no matter the white jade cream that produced black jades, the Yellow Emperor＇s planting the jade flowers, the Kunlun Jade Mountains （the Mountain of Jades） where the Queen Mother of the West lives or the Jade Lake, clearly show Chinese indigenous worship for the white jades. Scholars like Su Xuelin and Ling Chunsheng think that Queen Mother of the West is the goddess of the moon that originated from the old West Asian civilization. However, such idea is full of contradictions and flaws after the discovery of Chinese unique worship for white jades and the holy mountain of Kunlun. The book Classic of Mountains and Seas, with records of 140 mountains that produce jades and 16 mountains that produce white jades, can be the white jade worshippers＇ bible to explore the holy material resources.

SINGLE LANTHANUM TRIS(N-PHENYLETHYL-3,5-DI-t-BUTYLSALICYLALDIMINATO)S INITIATOR FOR RING-OPENING POLYMERIZATION OF 1,4-DIOXAN-2-ONE IN BULK

A rare earth Schiff base complex:lanthanum tris(N-phenylethyl-3,5-di-t-butylsalicylaldiminato)s [La(OPEBS)_3] was successfully applied as single component initiator for the ring-opening polymerization of 1,4-dioxan-2-one (PDO) in bulk.The influence of reaction conditions,such as polymerization temperature,the molar ratio of the monomer to initiator (M/I) on the monomer conversion and molecular weight of the polymer has been investigated.Poly(1,4-dioxan-2-one) with a viscosity-average molecular weight (My) o...