On the Structure of Cyclic Codes over F_q+uF_q+vF_q+uvF_q

In this paper,cyclic codes over the ring R=F4+uF4+vF4+uvF4 are discussed where the ring R is not a finite chain ring.By studying the polynomial ring Rn=(F4+uF4+vF4+uvF4) and using the corresponding relationship between the cyclic codes in R and the ideals in,cyclic codes over the ring R are characterized.Finally,a Gray-map is obtained and the image of cyclic codes in R is characterized.     

On Deep Holes of Projective Reed-Solomon Codes over Finite Fields with Even Characteristic

Projective Reed-Solomon code is an important class of maximal distance separable codes in reliable communication and deep holes play important roles in its decoding. In this paper, we obtain two classes of deep holes of projective Reed-Solomon codes over finite fields with even characteristic. That is, let ■ be finite field with even characteristic, k ∈{2,q-2}, and let u(x) be the Lagrange interpolation polynomial of the first q components of the received vector ■ Suppose that the(q+1)-th compon...     

Polynomial time algorithm for the two-side exponentiation problem about ergodic matrices over finite field

By using the minimal polynomial of ergodic matrix and the property of polynomial over finite field,we present a polynomial time algorithm for the two-side exponentiation problem about ergodic matrices over finite field (TSEPEM),and analyze the time and space complexity of the algorithm.According to this algorithm,the public key scheme based on TSEPEM is not secure.     

Nonlinear Finite Element Analysis of Mechanical Performance of Reinforced Concrete Short.Limb Shear Wall

On the basis of test, nonlinear finite element analysis of reinforced concrete (R. C) short-limb shear walls under monotonic horizontal load are carried out by ANSYS program in order to understand the evolution of cracking, deformation and failure course of the specimens. At the same time, the results of numerical calculation are compared with the results of test. The results indicate that, under monotonic horizontal load the failures of the specimens with flange wall and without flange wall all occur at the intersections of lintel bottom and limb of wall, the failures also occur at the bottom of limb; the load-displacement curve of wall without flange is steeper than that of wall with flange, and the ductility is worse than that of wall with flange; the results, such as cracking, deformation, yield load and ,so on of finite element analysis agree well with the results of test. These results provide theoretical basis of study and application of R. C shortlimb shear wall.     

Microstructural morphology of semi-solid high carbon steel T12 before and after rheo-rolling

The semi-solid high carbon steel T 12 was rolled in closed box groove under a certain condition by the rheo-rolling equipment developed by our research group, and the microstructural morphology of semi-solid T12 before and after deformation was investigated by optical microscope in order to analysis and summarize the microstructure evolution law of T 12 deformed in semi-solid state. The experiments results show that the grains shape before deformation of semi-solid T12 steel display globule or ellipse by the electromagnetic stirring, the distribution of solid and liquid phase is homogeneous, but the microstructure of semi-solid product after rheo-rolling exhibits macrosegregation that distribution of liquid and solid phases changes, the liquid phases divorce from the solid phases, most of solid phases get together in the center of the specimen and liquid phases flow to the surface or the edge of the specimen, the grains occur plastic deformation while reduction increased in transact. The middle microstructure is more homogeneous than head or tail position in longitudinal direction, the head microstructure is similar to the tail and the size of grain is not homogeneous.     

A Coupling Model of the Discontinuous Deformation Analysis Method and the Finite Element Method

Neither the finite element method nor the discontinuous deformation analysis method can solve problems very well in rock mechanics and engineering due to their extreme complexities. A coupling method combining both of them should have wider applicability. Such a model coupling the discontinuous deformation analysis method and the finite element method is proposed in this paper. In the model, so-called line blocks are introduced to deal with the interaction via the common interfacial boundary of the discontinuous deformation analysis domain with the finite element domain. The interfacial conditions during the incremental iteration process are satisfied by means of the line blocks. The requirement of gradual small displacements in each incremental step of this coupling method is met through a displacement control procedure. The model is simple in concept and is easy in numerical implementation. A numerical example is given. The displacement obtained by the coupling method agrees well with those obtained by the finite element method, which shows the rationality of this model and the validity of the implementation scheme.     

Genomic organization and sequence analysis of the vomeronasal receptor V2R genes in mouse genome

Two multigene superfamilies, named V1R and V2R, encoding seven-transmembrane-domain G-protein coupled receptors (GPCRs) have been identified as pheromone receptors in mammals. Three V2R gene families have been described in mouse and rat. Here we screened the updated mouse genome se- quence database and finally retrieved 63 putative functional V2R genes including three newly identified genes which formed a new additional family. We described the genomic organization of these genes and also characterized the conservation of mouse V2R protein sequences. These genomic and se- quence information we described are useful as part of the evidence to speculate the functional domain of V2Rs and should give aid to the functionality study in the future.     

三维多项式系统焦点量的计算

Fix a collection of polynomial vector fields on R3with a singularity at the origin,for every one of which the linear part at the origin has two pure imaginary and one non-zero eigenvalue. Some such systems admit a local analytic first integral,which then defines a local center manifold of the system. Conditions for existence of a first integral are given by the vanishing certain polynomial or rational functions in the coefficients of the system called focus quantities. In this paper we prove that the focus quantities have a structure analogous to that in the two-dimensional case and use it to formulate an efficient algorithm for computing them.     

Dynamic spreading behavior of homogeneous and heterogeneous networks

The detailed investigation of the dynamic epidemic spreading on homogeneous and heterogeneous networks was carried out. After the analysis of the basic epidemic models, the susceptible-infected-susceptible (SIS) model on homogenous and heterogeneous networks is established, and the dynamical evolution of the density of the infected individuals in these two different kinds of networks is analyzed theoretically. It indicates that heterogeneous networks are easier to propagate for the epidemics and the leading spreading behavior is dictated by the exponential increasing in the initial outbreaks. Large-scale simulations display that the infection is much faster on heterogeneous networks than that on homogeneous ones. It means that the network topology can have a significant effect on the epidemics taking place on complex networks. Some containment strategies of epidemic outbreaks are presented according to the theoretical analyses and numerical simulations.     

Crashworthiness Analysis of a Minibus Body in White Through Reverse Engineering

To investigate the crashworthiness of a minibus body in white (BIW) and create a digital model for further analysis and improvement, the crash behavior of the BIW was quantitatively analyzed using reverse engineering. Each part of the BIW was identified and digitalized to conduct a finite element model. A frontal crash was simulated numerically using the explicit finite element analysis software LS-DYNA. BIW crash tests were conducted to validate the finite element model. The computational results agree well with the test data, not only for the collapse mode, but also in the force-time and acceleration-time correlation curves. The methods used to create the finite element model can be used to further improve or develop safer vehicles.     

On the Symmetry Classes of Functions

Let R be an integral domain of characteristic zero such that the corresponding group rings have block decompositions. We first prove that the submodule consisting of all the R-valued ξi-symmetric functions of several variables is a symmetry class, where ξi is any block character. Then we present a relationship among certain operators introduced for block character. Then we present a relationship among certain operators introduced for block characters. As a consequence, we obtain a decomposition of an arbitrary R-valued function of several variables. Finally, we describe the symmetry property of such summands and determine all the symmetry classes.     

Preparation by a rheological phase reaction method and thermal decomposition reaction mechanism of nickelous salicylate tetrahydrate

0　IntroductionInrecentyears,studiesonBinghamfluid ,suchasElec trorheologicalfluid ,areactivelypursued[1 6] .Rheologicaltechniqueshavebeenplayinganimportantroleinsyntheticchem istry .Therheologicalphasereactionmethodisthe processofpreparingcompoundsormaterialsfromasolid liquidrheologicalmixture.Thatis,thesolidreactantsarefullymixedinapropermolarratio ,andmadeupbyaproperamountofwaterorothersolventstoaBinghambodyinwhichthesolidparticlesandliquidsubstanceareuniformlydistributed ,sothattheprodu…     

Public Key Cryptography Based on Ergodic Matrices over Finite Field

A new public key encryption scheme is proposed in this paper, which is based on a hard problem over ergodic matrices. The security of this scheme is equal to the MQ-problem： multivariate quadratic equations over finite fields. This problem has been shown to be NP-complete and can＇t be solved with polynomial time algorithm.     

Synthesis and crystal structure of new supramolecular adducts of [PtCl6]2− with cucurbit [7] uril: [(H3O)2 (PtCl6)]3 (C42H42N28O14)2·H2O

A novel supramolecular adduct [(H₃O)₂ (PtCl₆)]₃ (C₄₂H₄₂N₂₈O₁₄)₂·H₂O (1) was synthesized by mixing [PtCl₆]²⁻ and cucurbit [7] uril in solution of hydrochloric acid. The crystal structure was determined by single crystal X-ray diffraction analysis. The crystal belongs to orthorhombic system and space group F dd2 with cell dimensions:a=4. 705 33 (5) nm,b=7. 153 80 (6) nm,c=1. 894 61 (2) nm,Z=16,V=63, 7744 (11) nm³,D _c =1.534 g/cm³, μ=3. 007 mm⁻¹,F(000)=29 120,R ₁=0.070 7,wR ₂=0. 169 2. In crystal, the cucurb [7] uril molecules from two zig-zag chains. Foundation item: Supported by the National Natural Science Foundation of China (20172040) Biography: Yan kun (1977-), female, Master, research direction: macrocyclic chemistry.     

Convergence in the<Emphasis Type="Italic">r</Emphasis>-th mean and the Marcinkiewicz type weak law of large numbers for weighted sums of<Emphasis Type="Italic">L</Emphasis><Subscript>q</Subscript>-mixingale arrays

L _r convergence and convergence in probability for weighted sums ofL _q-mixingale arrays have been discussed and the Marcinkiewicz type weak law of large numbers forL _q-mixingale arrays has been obtained. Foundation item: Supported by the National Natural Science Foundation of China (10071058) Biography: Gan Shi-xin (1939-), male, Professor, research direction; martingale theory, probability limiting theory and Banach space geometry theory.     

QSPR between Physical-Chemical Properties and Molecule Parameters of Alkanes

A set of molecule parameters, namely, N, N′, p, q, n, were used to express the structures of alkanes. A correlative model was established between certain physical-chemical properties and molecular parameters of alkanes by regression method. Eight physical-chemical properties, such as evaporation heat （△vHm^20）, density（D^20 ）, capacity （C^20）, surface tension （δ^20）, boiling point （Tb）, critical temperature（Tc）, critical pressure（Pc） and critical volume（Vc）, of fifty-six C3-C16 alkanes were calculated directly from the model in this paper. The calculated values are in good accordance with the literature ones reported for alkanes, and the correlation coefficients （R） equal or exceed 0.99 . The research results indicate that the principle of the method is simple and clear, the method is practical, the correlativity is excellent, and the predicted data are credible.     

A Note on the Prime Spectrums of Character Rings of Finite Groups

0Introduction LetGbeafinitegroupoforder|G|=g,andletR(G)denotethecharacterringofG,whichisgeneratedbyalltheirreduciblecomplexcharactersofG.LetZbetherationalintegerringandNthesetofnatural numbers,andletZ[ω]betheintegralextensiongeneratedbyaprimitiveg throotωofunity.SupposethatSisasubringof thealgebraicnumberfieldsuchthatZ[ω]S.πisasetofra tionalprimenumbersdefinedasfollowsπ={p｜pisarationalprimenumbersuchthatp-1S}.Definition1WecallthataconjugacyclassCofthefinite groupGisaπregularconju…     

A Note on the Multifractal Decomposition of Directed Graph Self Similar Sets

We investigated the directed graph self similar sets under some weak overlapping condition. We get the multifractal decomposition formulas for these sets, i. e.,dim Ku^a DimKu^a =f(a), where fis the multifractal spectral function of the directed graph self similar measure. Especially, the results improve that of Edgar and Mauldin to the case which allows certain overlapping.     

Finite Time Ruin Probability with Variable Interest Rate and Extended Regular Variation

Consider an insurance risk model, in which the surplus process satisfies a recursive equation Un=Un-1(1 rn)-Xn for n≥1, where U0=x≥0 is the initial surplus, {rn；n≥1} the interest rate sequence, {Xn；n≥l} the sequence of i. i. d. real-valued random variables with common distribution function F, which denotes the gross loss during the nth year. We investigate the ruin probability within a finite time horizon and give the asymptotic result as x→∞.     

Study on the action of sodium selenite on the mitochondria metabolism of<Emphasis Type="Italic">Carassius auratus</Emphasis> hybrid carps liver by microcalorimetry

By using an LKB-2277 bioactivity monitor and ampoule method, the fundamental thermogenesis curves of the metabolic process of liver mitochondria fromCarassius auratus hybrid carps and the toxic effect of Na₂SeO₃ on it were studied at 28°C. From the thermogenesis curves, the thermokinetic equations were established under different condition. The kinetics show that Na₂SeO₃ has toxic action on the metabolism process ofCarassius auratus hybrid carps liver mitochondria. Foundation item: Supported by the National Science Foundation of China (29973030, 30170010 and 5020310), Chenguang Project of Wuhan and National Postdoctor Foundation of China Biography: Li Xi (1968-), female, Associate pofessor, research direction: biothermochemistry and biomaterials.