FINITE RIODAN MATRIX AND RIODAN GROUP

l introductionIn 1991, L. Shapiro and his co -- authorsI2] gave the following.Definition l.l Let L = (l.i),.j >0 be a infinite matrix with entries that belong to the fieldC of complex numbers, and letbe the GF of the i,, column of L. Then L is called a Riodan matrix ifwb e reandsuch that g(x) and f(x) belong to the ring of formal power series C[x] and f, /0.The Riodan matrix has many applications to combinatoricsll]--14]. For example, in 1997,N. Asamoah[I] dealt with the problem of latt…     

Linking anisotropy with Fe3C distribution in AISI 1045 steel

The anisotropy of the microstructure, thermal expansion behavior, corrosion resistance and magnetic properties of AISI 1045 steel was investigated. The distribution of Fe3C lamellae i n the investigation plane parallel to the radial directions of molds was observed to differ from that in the investigation plane perpendicular to the radial directions by transmission electron microscopy. The lattice constants a0 ofα-Fe deduced from the XRD patterns of samples prepared using a sand (S)-mold and cut parallel to the radial direction of t h e m o l d ( S∥) and using a metal (M)-mold and cut parallel to the radial direction (M∥), the corrosion resistance measured using an electrochemical work-station, and the magnetic permeability obtained by vibrating sample magnetometry also indicated the existence of anisotropy in the tested samples. The anisotropic change of corrosion potential (Ecor ), pitting potential (Epit) and magnetic permeability (μ) of the samples was ob-served to depend on the orientation factor F200 ofα-Fe in the measured samples, which is controlled by the distribution of Fe3C lamellae in the eutectoid structure.     

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→∞.     

不可约M-矩阵的最小特征值的估计

讨论了不可约M-矩阵A的最小特征值l(A)的估计问题。得到了,若A,B∈Rn×n是不可约M-矩阵。记B-1=[bij],A-1=[aij],则l(A oB-1)<2 m ax1 i nakkbkk,且存在正对角矩阵D1=d iag(d1,d2,∧,dn),与D2=d iag(d1,d2,∧,dn),使得m in1 i ndim in1 i ndi l(A)m ax1 i ndi1 m i a nxdi.     

关于几个特殊整数表达式的Hall因子

设d,e,f分别是a=Ⅱn（i=2）（q^i-1）,b=Ⅱn（i=2）（q^t-（-1）^i） , c= Ⅱn（i=2）（q^2i-1）的因子并且满足（a/d,d）=1,（b/e,e）=1 和 （c/f,f）=1,如此之d,e,f分别是a,b,c的Hall因子,对a,b,c的Hall因子的大小作出了估计.     

Comparison of love in Chinese culture and in western culture

In this passage, love in Chinese culture and in western culture is compared. It briefly introduces the difference love view in western culture and in Chinese culture on a specific matter. Then it discusses the origin of this phenomenon. At last it tries to conclude the characters of these two different love views.     

Benthic foraminiferal δ~(13)C minimum events in the southeastern Okhotsk Sea over the last 180 ka

A total of six d13C minimum events,i.e.,VI,V,IV,III,II,and I,were observed via a stable carbon and oxygen isotope analysis of infaunal benthic foraminifera Uvigerina spp.in gravity core OS03-1 in the southeastern Okhotsk Sea over the last 180 ka.These events occurred at112–109,102–90,85–76,57–54,44–40,and 17–10 ka BP.The largest negative excursions reached 2.5%in event V and were greater than 1%in the other events.We proposed that all d13C minimum events were caused by the increase in sea surface water productivity,the weakened formation of Okhotsk Sea intermediate water,and the enhancement of the oxygen minimum zone.The negative excursions were unaffected by methane hydrate destabilization and subsequent methane release based on the results obtained by using archaeal lipid markers.     

Population-size-dependent branching processes in Markovian random environments

A branching model {Z n} n≥0is considered where the offspring distribution of the population's evolution is not only dependent on the population size, but also controlled by a Markovian environmental process {ξ n} n≥0. For this model, asymptotic behaviour is studied such as limn→∞Z n and limn→∞Z n/m n in the case that the mean m k, θof the offspring distribution converges to m>1 as the population size k grows to ∞. In the case that {ξ n} n≥0is an irreducible positive recurrent Markov chain, certain extinction (i.e. P(Z n=0 for some n)=1) and noncertain extinction (i.e. P(Z n=0 for some n)<1) are studied.     

Names of Legal Profession in the United Kingdom and the United States

In the paper, I try to analyze the different divisions and titles in the United Kingdom and the United States. In the United Kingdom, the legal profession is traditionally divided into two branches, barristers and solicitors (the advocate in Scotland is equivalent to barrister); in the United States, there was never a formal separation of barrister and solicitor as in England, lawyers usually deal with a certain field of legal matters. In addition, I also try to speak something about the development and changes of "proctor", as well as the two kinds of "attorney" and their different development in the Great Britain and the United States.     

Wide Diameter for Two Families of Interconnection Networks

Wide diameter is an important parameter for measuring the reliability and efficiency of interconnection networks. Diameter with width k of a graph G, k-diameter, is defined as the minimum integer d for which there exist at least k internally disjoint paths of length at most d between any two distinct vertices in G. In this paper, we will discuss the wide diameter of two families of interconnection networks and present the bounds of wide diameter of G (G0,G1,...,Gr-1,L,) , where L=∪r-1 i=1 Mi,i+1,Mi,i+1 is an arbitrary perfect matching between V(Gi) and V(Gi+1), and G(G0,G1, F), where {(ui,vi)︱1≤i≤n}U 1{(uivi+1)︱1≤i≤ n} , ui∈V(G0), vi ∈V( G1). And they are used in practical applications, especially in the distributed and parallel computer networks.     

关于C_l~n数域的相对整基和单位

Let K be an algebraic number field, k be a subfield of k. E. Artin and A. Frohlich asked and studied this question: when does K/k have a relative integral basis? i. e., when is the ring O_K, integers of K, a free O_k-module? In the case that K is a C_2~2 field, i. e. a bicyclic biquadratic field, this problem was studied in many papers and, finally, solved by L. C. Washington, R. H.     

The Further Results of the Chromatic Uniqueness of Certain Bipartite Graphs K （m,n）- A

With its comprehensive application in network information engineering （e. g. dynamic spectrum allocation under different distance constraints ） and in network combination optimization （e. g. safe storage of deleterious materials）, the graphs＇ cloring theory and chromatic uniqueness theory have been the forward position of graph theory research. The later concerns the equivalent classification of graphs with their color polynomials and the determination of uniqueness of some equivalent classification under isomorphism. In this paper, by introducing the concept of chromatic normality and comparing the number of partitions of two chromatically equivalent graphs, a general numerical condition guarenteeing that bipartite graphs K （ m, n） - A （A belong to E（K （m, n） ） and ｜ A ｜≥ 2） is chromatically unique was obtained and a lot of chromatic uniqueness graphs of bipartite graphs K（m, n） - A were determined. The results obtained in this paper were general. And the results cover and extend the majority of the relevant results obtained within the world.     

Studies of the Rheological Behavior of Polypropylene/Polyamide-6 Blend by Capillary Rheometer

The theological behavior of blend, e. g. polypropylene, PP, with polyamide - 6, PA6, has been investigated. Results show that this blend is a pseudo plastic fluid and the amount of PA6 seems to be a dominator to influence all theological properties. In addition to the expected influence by temperature generally for polymer, it has been found the amount of PA6 is valid in a range, e. g. 0 - 20% corresponding to the PP amount, i. e. in this range, the larger the PA6 added, the larger is the non-Newtonian index, n, and this is obviously especially for PP/PA6 blend with the high shear stress.     

金属粒子/绝缘体系的力学性质(续)

Figure 1　Effective dielectric constant of a sim ple tetragonal lattice with spacing d in the Z direction and w in the X and Y direction as a f unction of spacing/radius(d/R) at constant volume fraction (f).Full circ les indi cate the result of dipole approximation and open circles are from the extended R ayleigh identity. 　　Figure 2　Calculated stress,in units of Pascal,plotted as a func tion of strain i.e.,the title angle θ as defined in the inset.The parameters us ed in the calculation are εp/εf=5.0,E=2.0 kV/mm,f=0.2,and RM/R=0.985. 　　Figure 3　Shear modulus G vs applied electric field E0 .Solid l ine indicates the shear modulus of the new ideal ER system and the dashed line s hows that of the traditional one (RM=0). 　　Figure 4　Shear modulus G divided by εf vs ε p/εf for v arious thickness of dielectric coating,RM/R=0.985(open circles) and RM /R=0.955(full circles).     

НАБЛЮДЕНИЕ НА СТЕБЛЯХ НЕКОТОРЫХ ВОДЯНЫХ ПОВКРЫТОСЕОСЕМЯННЫХ РАСТЕНИЙ И ИХ ПРИСПОСОБЛЕНИЕ К СРЕДЕ

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Effects of system parameters on bright dissipative holographic photovoltaic solitons

In a photovoltaic dissipative system, evolution and stability of a bright dissipative holographic photovoltaic （DHP） soliton are completely determined by the given dissipative system, i.e., they are impacted by the system parameters, such as the system temperature, the photovoltaic field of the crystal, the angle between two input beams, and the angle of polarized direction. Such DHP solitons can be easily amplified or absorbed by adjusting these system parameters. They have potential applications in optical switches or repeaters.     

Analysis on forming conditions of deep marine reservoirs and their concentration belts in superimposed basins in China

By taking the Tarim Basin, Sichuan Basin and Ordos Basin as examples, the conditions for deep marine reservoir formation were illustrated in three aspects listed below： late-stage superimposition style, burial history and structural deformation of the marine stratigraphic system. The burial history of marine source rocks can be divided into three types, i.e., type I, type II and type III, which are obviously different from the case with present hydrocarbon phases in terms of hydrocarbon generation and pe- troleum-reservoir formation. Based on evolution history, the structural belts in the marine stratigraphic sequence can also be divided into four types, i.e. earlier normal fault-later fault-fold type, earlier uplift-later fault-fold type, earlier uplift-later flattened slope type, and earlier depression-later thrust type. In this paper, a successive gas generation model was proposed, and it was particularly pointed out that coupling of geothermal field annealing evolution and tectonic subsidence and late gas generation from dispersed liquid hydrocarbon in highly matured to over-matured source rocks are key factors for formation of marine petroleum reservoirs. The geological conditions for formation of high-grade reservoirs in deep marine system, covering early hydrocarbon injection, deep denudation and buried dolo- mitization, were summarized. It was finally concluded that three major structural belts, i.e. paleo-uplift belt characterized by composite hydrocarbon accumulation, paleo-fault belt and high-energy sedimentary facies belt, were involved in marine hydrocarbon accumulation.     

Psychoanalysis of D. H. Lawrence's Sons And Lovers

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A relay selection scheme based on geometric optimum in cooperative cognitive systems over mixed channels

This paper proposes a relay selection scheme based on geometric optimum principle to maximize the cognitive link＇ s connectivity with limited interference to primary user in cooperative cognitive systems. A dual-hop cognitive relay system is considered, in which the channel impulse response follows independent non-identical distribution （i. n. d. ） each hop, such as Rician, Rayleigh and Nakagami-m distribution. Then, closed-form expressions in terms of outage probability and average bit error rate （ABER） are obtained using amplify-and-forward （AF） relaying protocol over such mixed fading channels. Furthermore, the best range of the relay is derived. Extensive simulation re- suits are conducted to verify the theoretical analysis, which is useful to the network optimal design.