简单图的L(2,1,1)-标号

给出了完全图、完全二分图、路、圈等简单图的L(2,1,1)-标号数。对最大度为Δ 的一般图G,给出了构造L(2,1,1)-标号的一个算法, 证明了λ_2,1,1(G)≤Δ³- Δ²+2Δ。     

基于有符号移位序列的零相关区互补序列集交织构造方法

提出有符号的移位序列,将移位序列分为移位和符号两部分,并基于此提出一种零相关区互补序列集的交织构造方法.该方法利用完备互补序列对作为初始序列,根据初始序列与移位序列长度的关系分2种情况构造移位序列.第1种情况,二者长度互素,分析并证明移位序列中未引入与引入1个、2个负号后新序列对相关函数的分布情况,提出当移位序列长度为3时,获得完备互补序列集的方法;第2种情况,移位序列长度被初始序列长度整除,当移位序列长度为偶数时,提出获得完备互补序列集的方法.实例仿真证明了以上构造的有效性.     

球面稳定同伦群的一族新元素G0(B1)4Γs

利用May谱序列的E₁^s,t,*项收敛于群E_A^s,t(Z_p,Z_p)以及Adams谱序列的E₂^s,t项收敛于球面稳定群π_t-s(S)_p的方法, 并结合谱的上纤维序列导出Ext群的正合序列, 发现了谱V(2)稳定同伦群中的一个非零元素g₀(b₁)⁴, 并且发现它在Adams谱序列中是一个永久循环. 运用Yoneda乘积, 得到了球面稳定同伦群中的一个非零元素g₀(b₁)⁴γ_s.     

New orthonormal and complete representation for complex scalar fields

The explicit common eigenvectors for complex scalar fields φ (x) and φ+ (x) are derived . They span an orthonormal and complete space. Based on this, the charge conjugate unitary operator and the operator which generates Bogolyubov pseudo-particles transformation can be neatly derived. It is emphasized that | ξ> is different from the direct product of two independent eigenvectors respectively belonging to two real scalar fields, and | ξ > is named the correlated eigenstates of φ( x) and φ+ (x).     

形成原子核群子结构的四项原理及其等腰三角形核素周期律

根据第四统计力学——JRG群子统计理论,首次提出了形成原子核结构的四项原理及相应的原子核周期律。这四项原理为:一是原子核有群子结构单元;二是形成原子核时群子通过热核聚合反应过程使核素结构有严格的排列顺序;三是原子核内群子结构间有动态共振作用;四是偶数群子稳定,而非偶数群子是引起总角动量和β⁺,β^-衰变的根源。基于上述四项原理,提出了核群子结构基本单元有(PB),(PB₂),(P₂B₃),并随着质子数Z的增加,核群子结构由(PB)_k过渡到(PB)_k(P₂B₃)_l;由(PB)_n(PB₂)_m过渡到(P₂B₃)_s(PB₂)_t。从而导出了k(-t)=2n(s)-Z,k(-t)=Z-2l(m)的关系式。基于此,可以画出等腰三角形原子核群子周期律。还发现,不管A,N,Z如何变化,有下列严格关系式:Z/N=(n+m)/(n+2m)或Z/N=(k+l)/(k+3l)并且Z=n+l。此公式高度地反映了所有原子核内质子和中子分布的整数规律。还可以通过等腰三角形周期律得知:k,l,m,n,s,t均与核素群子(PB),(PB₂), (P₂B₃),(P₃B₄)的2,3,5,7整数倍有关。     

Relation between standard entropies of elements and electronic configurations

A close relationship has been found between the standard entropies of elements and their electronic configurations. Based on the positions of elements in the periodic table and the variation in the standard entropies of elements, the standard entropies of elements can be expressed as the sum of two functions:S ⁰=f(N) +f(E), whereS ⁰ is the standard entropy of an element,N the principal quantum number, andE the number of outermost electrons. And the specific formula isS ⁰ = 99.05N ^1/3 + [0.32(sp −4)⁴ -119.76] + [-56.56N ^1/3+ 0.70(sd ∼-7)² −42.12] + [−11.95 × 10⁻⁴(df-8)⁻⁴ -105.70], wheresp, sd, df are the numbers of the outermost electrons in thesp, sd, df regions of the periodic table, respectively. This formula helps reveal the essence of the standard entropies of elements and deepens our understanding of the thermodynamic characteristics of compounds.     

On the Family of Thue Equation ｜x^3 ＋ mx^2y-（ m ＋ 3）xy^2 ＋ y^3｜= k

The family of cubic Thue equation which depend on two parameters ｜ x^3 ＋ mx^2 y-（m＋3） xy^2＋y^3｜=k is studied. Using rational approximation, we give a smaller upper bound of the solution of the equation, that is quite better than the present result. Moreover, we study two inequalities ｜ x^3 ＋ mx^2y-（m ＋ 3） xy^2＋y^3 ｜ =k≤2m＋3 and ｜x^3 ＋mx^2y- （m＋3）xy^2 ＋ y^3｜ = k≤ （2m＋3）^2 separately. Our result of upper bound make it easy to solve those inequalities by simple method of continuous fraction expansion.     

Molecule modification and mass deposition induced by the implantation of low energy Fe+ ion beams into amino acids

Fe⁺ ion beams with the energy of 110 keV were implanted into films of L(+)-cysteine (HSCH₂CH(NH₂)COOH). One of the single crystals grown in hydrochloric acid solution with the implanted samples through slow evaporation was structurally characterized by the X-ray crystallography. The crystal is monoclinic, space group C2, with a = 1.8534(4) nm, b = 0.5234(1) nm, c = 0.7212(1) nm, β= 103.72°, V = 0.67965(3) nm³, Z = 4, F(000) = 144.0, D{clac} = 1.763 g · cm⁻³, μ(MoK _a = 1.06 mm⁻¹, T = 293(2) K. R = 0.0379, wR = 0.0835 for 660 observed reflections (I > 2σ(I)). The structural formula of the crystal compound is (CH₂CH(NH₂)NO₂)ClFe (M _r = 180.38 u). Products of heavy ion beam irradiation were purified and it was directly confirmed that the implanted Fe⁺ ions had been deposited in the novel molecules. The same doses of Fe⁺ ion beams of the same energy were implanted into films of L(+)-cysteine hydrochloride monohydrate. FTIR spectroscopy of the implanted samples proved that some of the original molecules were seriously damaged and significant modifications were induced.     

Synthesis and Characterization of Polyamide-Containing 2, 6- （Substituded） pyridine Derivatives

0 IntroductionPayrriodminaetiics hoenteer oofc ythcleics m .os tC oambupnoduanndts a cnodn tbaeisntin kgno twhnepyridine ring are widely distributedin nature,principally asenzymes and alkaloids . Pyridine enzymes have been foundintissues of all plants and ani mals examined thus far ,andare derivedfromeither nicotinic acid or Vitamin B6[1].Pyr-idine derivatives are also the building block of many phar-maceuticals with a wide range of functionalities that includeantitubercular compounds ,antivi…     

Cloning and characterization of a gene encoding cysteine proteases from senescent leaves of Gossypium hirsutum

A gene encoding a cysteine proteinase was isolated from senescent leave of cotton (Gossypium hirsutum) cv liaomian No. 9 by utilizing rapid amplification of cDNA end spolymerase chain reaction (RACE-PCR), and a set of consensus oligonucleotide primers was designed to anneal the conserved sequences of plant cysteine protease genes. The cDNA, which designated Ghcysp gene, contained 1368 bp terminating in a poly(A)^ trail, and included a putative 5‘(98 bp) and a 3‘(235 bp) non-coding region. The opening reading frame (ORF) encodes polypeptide 344 amino acids with the predicted molecular mass of 37.88 kD and theoretical pl of 4.80. A comparison of the deduced amino acid sequence with the sequence in the GenBank database has shown considerable sequence similarity to a novel family of plant cysteine proteases. This putative cotton Ghcysp protein shows from 67% to 82% identity to the other plants. All of them share catalytic triad of residues, which are highly conserved in three regions. Hydropaths analysis of the amino acid sequence shows that the Ghcysp is a potential membrane protein and localizes to the vacuole, which has a transmembrane helix between resides 7-25. A characteristic feature of Ghcysp is the presence of a putative vacuole-targeting signal peptide of 19-amino acid residues at the N-terminal region. The expression of Ghcysp gene was determined using northern blot analysis. The Ghcysp mRNA levels are high in development senescent leaf but below the limit of detection in senescent root, hypocotyl, faded flower, 6 d post anthesis ovule, and young leaf.     

一类函数迭代的性质

采用矩阵法求出分式线性函数f(x)=(ax+b)/(cx+d)的n次迭代表达式fn(x),并分别对fn(x)的周期性、单调性、不动点进行讨论.     

Molecular characterization of a K+ channel blocker in the scorpionButhus martensii Karsch

K⁺ channel blockers of scorpion venoms are of important value in studying pharmacology and physiology of specific K⁺ channel of cells. Based on the amino acid sequences of BmP01 previously characterized as a small-conductance Ca²⁺-activated K⁺ channel blocker, two “back to back” degenarate primers have been designed and synthesized for inverse PCR strategy, its full-length cDNA has been cloned from the venom gland of the Chinese scorpionButhus martensii. The cDNA is composed of 3 parts: 5′ UTR, ORF and 3′ UTR. The flanking sequence of translation initiation codon ATG is AAAATGA, which is highly conserved in scorpion Na⁺ channel toxin and protozoan genes, suggesting that these genes may have followed a common mechanism for translation initiation. The 3′ UTR contains poly(A) signal AATAAA. The open reading frame encodes a precursor of 57 residues with a signal peptide of 28 residues and a mature peptide of 29 residues. The signal peptide is rich in hydrophobic amino acid residues and its length is significantly different from that of the determined scorpion Na⁺ channel toxin. The deduced amino acid sequence of mature peptide is completely consistent with BmP01 previously determined by primary structure analysis.     

On the Pólya conjecture and the weak Weyl-Berry conjecture

The Pólya conjecture and its connection with the weak Weyl-Berry conjecture are studied Specifically let Ω⊆R ⁿ (n≥1) be a non-empty bounded open set with boundary ∂Ω. LetN ₀(λ, −Δ,Ω) be the Dirichlet counting function and φ(λ) the associated Weyl term. If the interior Minkowski dimension of ∂Ω is δ∈[n−1,n], then under certain realisable conditions we prove that for λ sufficiently large the Pólya conjecture φ(λ) −N ₀(λ,−Δ,Ω)≥0 is true. Under related conditions we also prove thatϕ(λ)−N ₀(λ,−Δ, Ω)≈λ^5/2, as λ→+∞. That is, the Weak Weyl-Berry conjecture is true. Similar results are obtained for the Neumann counting function. Partially supported by the National Natural Science Foundation of China and the Royal Society of London Chen Hua: born in March 8, 1956, Professor     

Circular dichroism spectroscopic studies on structures formed by telomeric DNA sequencesin vitro

Telomere plays an important role in cellular processes, such as cell aging, death and carcinogenisis. Having special sequences, it can form quadruplex structurein vitro. Circular dichroism (CD) spectroscopic studies show that TTAGGG, (TTAGGG)₂ and (TTAGGG)₄ can all form quadruplexin vitro and exist mainly as parallel quadruplex without metal ions. Both K⁺ and Na⁺ can stabilize the tetrameric structure and facilitate the forming of anti-parallel conformation. Furthermore, the conformations of quadruplex can also be affected by sequence length, the nature and concentration of metal ions.     

Remote sensing of algal blooms using a turbidity-free function for near-infrared and red signals

HARMFUL ALGAL BLOOM ACTS UPON IMPORTANT ENVIRON-MENTAL PROBLEMS IN COASTAL WATERS.A UNIFIED AND IM-PLEMENTING METHOD FOR SURVEY AND MONITORING ALGALBLOOMS HAS BEEN DEVELOPED SINCE LAST DECADE.HOWEVER THERE IS A DATA GAP OF ABOUT TENS YEARS IN THE PERIOD W…     

求自由模Z（n）的子模的基的新方法

求Z^（n）的子模的基,传统的方法是用λ-矩阵,计算量较大.以模方阵为工具,给出纯数字矩阵的新的求基法,并给出全部基的公式.     

季铵盐改性MWNTs制备具有抗菌性和自清洁性的PVDF超滤膜

叔铵盐2-二甲氨基氯乙烷盐酸盐(DCH)作为季铵盐的前驱体,通过环氧氯丙烷接枝到氧化多壁碳纳米管(O-MWNTs)上,得到的季铵盐改性多壁碳纳米管(MWNTs)(即N~+-MWNTs)作为添加剂加入铸膜液制备聚偏氟乙烯(PVDF)平板超滤膜(PVDF/N~+-MWNTs膜).场发射扫描电子显微镜(FESEM)用来观测不同的N~+-MWNTs添加量对膜形貌的影响.结果表明,制得的PVDF/N~+-MWNTs复合膜表面粗糙度明显减小,同时亲水性得到明显改善.在对牛血清白蛋白(BSA)的污染-清洗循环实验中,PVDF/N~+-MWNTs复合膜相比于纯PVDF膜,纯水通量由110.5×10~(-5)L·m~(-2)·h~(-1)·Pa~(-1)上升至197.4×10~(-5)L·m~(-2)·h~(-1)·Pa~(-1).此外,通量恢复率(FRR)明显提高,尤其在3次循环之后,对BSA的截留性能没有下降.在对大肠杆菌和金黄色葡萄球菌的抗菌实验中,PVDF/N~+-MWNTs复合膜展现出优异的抑菌性,且在膜的抗菌性再生循环中,3次循环之后PVDF/N+-MWNTs复合膜的抑菌率依然维持在较高的水平.     

氢还原竖炉的模拟分析

利用一组物料、热量守衡式及其他有关约束关系,建立了氢还原竖炉模拟模型,可定量考察消耗量、生成量和氮气、CO兑入成分、DRI金属化率、入炉煤气温度等的关系。模拟结果表明:兑入CO可使入炉煤气量从纯氢还原的1 650N·m3左右下降到1 200N·m3左右;当CO和H2的体积之比V(CO)/V(H2)约为0.6时,氮气兑入量约为0,竖炉能量利用最佳;当V(CO)/V(H2)体积比为0.3时,最佳氮气兑入成分约为11%;纯氢还原最佳氮气兑入成分约为25%;兑入氮气可以减少入炉氢气的量,但不能减少入炉气体的总量。对氢还原竖炉模拟结果可为其工艺设计、操作和节能等提供参考信息。     

An operator on ascent sequences

We solve two problems about ascent sequences: how to get the ascent sequence of the reflection of A with respect to its antidiagonal for a matrix A∈ Intn and its ascent sequences, and how to determine the ascent sequence of A+B for k×k matrices A∈ Intn and B∈ Intm. We give the other definition of ascent sequence and get M-sequence. For the first question, we define M-sequence of A and rewrite the ascent sequences as another form.We build the bijection between M-sequences and ascent sequences and prove that our bijection is well-defined. For the second question, we define an operation on M-sequences. On the basis of the operation and the bijections, we get the ascent sequences of the sum of two matrices.     

Some polar sets for the generalized Brownian sheet

Let (t)(t ∈ R ₊ ^N ) be the d-dimensional N-parameter generalized Brownian sheet. We study the polar sets for (t). It is proved that for any a ∈ R ^d , P{ (t) = a, for some t ∈ R _> ^N } = and the probability that (t) has k-multiple points is 1 or 0 according as whether 2kN > d(k − 1)β or 2kN < d(k−1)α. These results contain and extend the results of the Brownian sheet, where R _> ^N = (0,+∞) ^N ,R ₊ ^N =[10,+∞) ^N ,0< α≤1 and β≥1. Biography: LI Huiqiong (1966–), female, Associate professor, research direction: stochastic process and random fractal.