指数丢番图方程|m4-6m2+1|x+(4m3-4m)y=(m2+l)z的解

设a=|m~4-6m~2 1|,b=4m~3-4m,c=m~2 1,且2|m,利用Jacobi符号以及广义Fermat方程的已有解,证明指数丢番图方程a~x b~y=c~z仅有正整数解(x,y,z)=(2,2,4).     

玻色型反氢原子结构及氘核PB+1nB0和PF+1nF0结构函数的矩

摘要：根据费米型质子PB^ 1、中子nF^0、电子e^-1的超对称性伴子玻色型PB^ 1nB^0、-↑Ue^-,1↑B粒子,讨论反氢原子的结构,计算费米型氘核PF^ 1nF^0和玻色型氘核PB^ 1nB^0结构函数的矩,结果发现反氢原子的结构与目前观测到费米型反氢原子不同,氘核PB^ 1nB^0结构函数的矩的理论值与实验数据较好相符,PB^ 1nB^0结构函数的矩的计算结果比PB^ 1nF^0要大,增大的值是由于费米型中性矢量反轻子-↑l0F,T结构函数的贡献所致。     

广义商高数的纯指数Diophantine方程ax+by=cz的解

运用Gel’fond-Baker方法证明,在m≥105r3时,丢番图方程ax+by=cz仅有正整数解（x,y,z）=（2,2,r）.其中r和m为正偶数,（a,b,c）=（|V（m,r）|,|U（m,r）|,m2+1）,V（m,r）+U（m,r）（-1）^1/2=(m+（-1）^1/2)r.     

二次调和同态:ϕ:Rr3→Rs2的分类

在给出半定欧氏空间之间二次调和同态的结构方程之后,通过对结构方程的系数矩阵的分析及特殊坐标系的运用,推广Ou-Wood关于欧氏空间之间二次调和同态的结果,获得二次调和同态Rr^3→Rs^2的分类.     

荷花图Dn,4*2 pm* St的优美性和奇强协调性

给出荷花图Dn,4^2＊pm＊St的概念,并证明当m≡0,1（mod4且m≥4）时,荷花图是优美且奇强协调的.     

关于差分方程xn=(A+xn-1p)/(B+xn-kp)正解的有界性

证明差分方程x_n=(A x_(n-1)~p)/(B x_(n-k)~p),n=0,1,2,…,(其中k≥2,A,B,p∈(0, ∞))在p~(k-1)≥k~k/(k-1)~(k-1)时,有无界的解,并且当p~(k-1)相似文献   

郭瑞敏1,花修艺1,梁大鹏1,郭志勇1,马继力2,董德明1 *

为了防治辽河流域(吉林省部分)的畜禽养殖对环境的污染,有必要先确定流域的畜禽养殖污染负荷及其环境效应。本研究利用排泄系数法的原理,估算了该流域各县、市的畜禽养殖污染物(包括COD、氨氮、总氮、总磷)的产生量、排放量和入河量,核算出了农田畜禽粪便负荷量、氮和磷的养分平衡率。结果表明：在4 种污染物中,COD的产生量、排放量、入河量所占比例均最大,其次是总氮,再次是总磷,氨氮所占比例最小。流域农田的畜禽粪便负荷量的平均值达52.7 t.hm_-2.a_-1,其中伊通县的农田畜禽粪便负荷量最高,达到了污染的程度。流域中双辽市、公主岭市和伊通县的氮养分平衡率和磷养分平衡率都大于1。因此,辽河流域(吉林省部分)的畜禽养殖已对环境产生一定危害,并存在明显的环境风险,尤以公主岭市、双辽市和伊通县更为突出。     

刘伟1 刘中星2 王建龙1* 曹端林1 陈丽珍1

为了研究3,4-二硝基吡唑(DNP)的热分解性能和热稳定性,采用绝热加速量热仪(ARC)对其在绝热条件下的热分解进行了研究,得到了DNP绝热分解的温度、压力、温升速率等随时间及温度的变化曲线。结果表明：DNP的绝热分解分为四个阶段,后两个阶段为其主要热分解阶段,主要的热分解从245.5℃开始,绝热分解整体是较为缓慢的,没有自催化现象发生,证明DNP具有良好的热稳定性;根据温升速率方程及Arrhenius公式对这后两个阶段进行了动力学计算,两个阶段的热分解反应级数为0.5和1,活化能分别为218.4 kJ/mol、331.1 kJ/mol,指前因子分别为7.9×10₁₈min_-1、6.9×10₂₈ min_-1,并得到了DNP绝热分解温升速率随温度变化的数据模型。     

秦微1,2,张其林1,2,赖悦1,2,姜苏1,2,陈媛1,2,苏建峰1,2

为了更好的利用闪电资料和雷达回波资料来对雷电进行临近预警,本文以深圳地区2012年4月一次强飑线过程为例,分析该次过程中的闪电活动与雷达回波特征,发现地闪分布与雷达回波强度之间表现出很好的对应关系。因此,本文采用TITAN(Thunderstorm Identification, Tracking, Analysis, and Nowcasting)算法对这次强风暴过程中40dBZ以上的强回波区进行识别、跟踪和外推,并与闪电高密度区域的识别、跟踪和外推结果进行对比分析。结果表明：TITAN算法识别效果理想,且识别结果与单体的发展旺盛程度有关;另外,雷达强回波区和闪电高密度区的外推精度与外推开始时刻、外推时间的长短有关;利用闪电高密度区进行外推时,外推的质心误差小于雷达强回波区的外推质心误差。     

Assignment and analysis of electronic rovibrational spectrum of CS + A2∏3/2-X2∑+

A visual mutual computer program is established for the assignment of the rovibronic spectrum of typical transition A2 II - X22. The usage of this program is demonstrated in the analysis of the velocity modulation spectrum of CS+ A n3/2( u = 1)"*~X S+ ( u = 0) . The structure parameters of CS+ are determined by a least-square fit of all assigned spectral lines on the basis of an algebraic model of the energy levels.     

Pn(r)公钥外部参数和嵌套函数的等概率

基于ＰＤＸ构造理论,证明了Ｐｎ＾（ｒ）公钥外部参数和嵌套函数存在一种重要的等概率,即构造与破译彼此概率相等。安全性分析证明Ｐｎ＾（ｒ）公钥具有高强度安全性能。     

The Distribution of a CP-asymmetric quantity in the decay channel J / Ψ → π + π ? π 0

The distribution of a CP-asymmetric quantityA in the decay channelJ/ψ→π ⁺ π ⁻ π ⁰ is investigated. This dimensionless quantityA is constructed from the momenta of the π-meson final states, namely A=P _x ^{π +} P _y ^{π −} -P _x ^{π −} P _y ^{π −}, whereP _h,P _x ^h andP _y ^h are the module of the momentum of a hadron h, the x- and y-components of that momentum respectively, theJ/ψ particle is produced by e⁺ e⁻ collision, and the direction of the momentum of e⁺ is taken to be the positive direction ofz axis. There would exists the violation under the combined transformation of charge conjugation and space reflection (CP violation) when the average ofA among a lot of events, 〈A〉, be examined to be nonzero clearly from data. In this way, 748 events are selected from the BES experimental data, and analyzed. The corresponding averageA-value is measured to be 〈A〉 = 0.010 39 ± 0.014 61 ± 0.015 2. Further, some discussion of our result, the size of the data sample being need for further attempt and a possible perspective are given.     

Mining rice new germplasm containing S5n gene by functional molecular marker and sequencing

Inter-subspecific hybrids between indica and japonica varieties yield strong biological heterosis, but it is difficult to utilize the hybrids directly in commercial production due to sterility of F1. A special gene S5^n may overcome the hybrids sterility, which is caused by the interaction between S5 loci. Recently, S5^n had been cloned, and it was revealed containing a large DNA deletion sequence that made the gene nonfunctional, compared to S5^i or S5^j. We designed a pair of primers flanking the deletion sequence of Ssn, and then applied to distinguish the varieties with S5^n or non-S5^n, convincing result suggested that the primers could be served as functional molecular marker to efficiently identify the new germplasm with S5^n, Using the functional marker, we surveyed 197 varieties from China National Micro-core Rice Collection, and found ten of which represented S5^n including following varieties： Haobuka, Sanbangqishiluo, Mubanggu, Xiaohonggu, Mowanggu＇neiza, Laozaogu, Fanhaopi, Feie＇nu02, Baoxie-7B, Teqingxuanhui. Among them, two varieties Sanbangqishiluo and Laozaogu was previously reported to contain S5^n gene. Further sequence analysis on the DNA sequence covering both sides of deletion in S5^n of the 10 varieties confirmed that the detected sequences in above varieties was identical with those of varieties containing S5^n, such as 02428 and Linglun. These results suggested that the gene in S5 locus of the ten varieties was also nonfunctional and it proved the presence of S5^n gene.     

Acylation of nitriles to β-ketonitriles catalyzed by a heterometallic alkoxide cluster of neodymium and sodium： NdNa8（O^tBu）10（OH）

Catalytic acylation of nitriles with esters in the presence of 10 mol% NdNa8(OtBu)10(OH) is developed.The procedure is suitable for both enolizable and nonenolizable esters and affords β-ketonitriles in moderate to high yields.The heterometallic alkoxide cluster NdNa8(OtBu)10(OH) is structurally characterized by X-ray diffraction,and a mechanism for the production of β-ketonitriles using the cluster is proposed and verified.     

The concentration quenching characteristics of 5D3-7FJ and 5D4-7FJ (J=0―6) transitions of Tb3+ in YBO3:Tb3+ phosphor

The photoluminescence quenching behaviors of ^5D3-^7Fj and ^5D4-^7Fj （J = 0—6） transitions of Tb^3＋ in YBO3：Tb under 130—290 nm excitation were systematically investigated. The results revealed that the quenching concentrations of both ^5D3-^7Fj and ^5D4-^7Fj transitions of Tb^3＋ in YBO3：Tb were mainly dependent on excitation wavelength. Particularly, the quenching concentrations of ^5D4-^7Fj transitions of Tb^3＋ under 130—290 nm excitation were correlated with excitation bands of YBO3：Tb. The quenching concentrations of ^5D3-^7Fj transitions remained at low concentration （2%） under 186—290 nm excitation and then increased gradually with energy of incoming excitation photon when excited at 130—186 nm. This dependence should be involved in their excitation mechanisms and quenching pathway in particular excitation region.[第一段]     

关于迭代算子DkGk的局部与全局的Lp-加权积分不等式

基于已有的作用于Dirac-调和方程解的迭代算子D^kG^k的L^s-范数不等式,利用广义Hölder不等式及相关的积分技巧,首先在域Ω的子区域上证明了作用于微分形式的迭代算子的局部加权积分不等式,然后将此进一步推广得到Ω上全局的加权不等式。     

含Sr2+和Bi3+有机杂化体的合成及其光降解罗丹明B

采用溶剂热法在N,N-二甲基甲酰胺溶液中合成了不同摩尔比例的SrCl_2和Bi(NO_3)_3(分别为5%,10%,30%,50%,80%)与对苯二甲酸形成的含Sr~(2+)和Bi~(3+)有机杂化体,并在紫外可见光照射下对其进行了罗丹明B降解活性的评价.结果表明:杂化体在紫外可见光下对RhB降解活性良好,其中SrCl_2摩尔比例10%掺杂的催化剂光降解活性最佳,这归结于其在紫外区域对光有很好的吸收及光生电子和空穴能有效地分离.双金属离子能协同调节有机杂化体的光催化活性.     

Enhancement of magnetic properties and thermal stability of nanocrystalline (NdDyTb)12.3(FeZrNbCu)81.7B6.0 alloy with Co substitution

The major drawbacks of Nd-Fe-B magnets are relatively low Curie temperature and poor thermal stability. Ribbons with the near stoichiometric 2:14:1 composition of Nd_10.8Dy_0.75Tb_0.75Fe_79.7-xCo_xZr_0.8Nb_0.8Cu_0.4B_6.0 (x=0, 3, 6, 9, 12, 15) were prepared by rapid quenching and subsequent heat treatment. The effect of Co element on the magnetic properties, thermal stability, and microstructure of the ribbons was systematically studied by vibrating sample magnetometer (VSM), thermal magnetic analysis, atomic force microscopy (AFM), and transmission electron microscopy (TEM). It was found that Co substitution was significantly effective in improving the magnetic properties and the thermal stability of nanocrystalline ribbons. Although the intrinsic coercivity decreased from 1308.7 kA/m for x=0 to 817.4 kA/m for x=15, the remanence polarization and maximum energy product increased from 0.839 T and 116.5 kJ/m3 for the Co-free samples to 1.041 T and 155.1 kJ/m3 for the 12at% Co-substituted samples, respectively. About 10 K increase in Curie temperature was observed for the 2:14:1 phase with 1at% Co substitution. The absolute values of temperature coefficients of induction and coercivity were significantly decreased with Co substitution, which may be attractive for high operational temperature applications. The microstructure of nanocrystalline ribbons was slightly refined with Co substitution.     

二维Ti3C2Tx MXene材料的制备与工艺优化

二维（2D）过渡金属碳/氮化物（MXene）材料是当前最受关注的二维材料之一,其中二维碳化钛（Ti₃C₂T_x MXene）材料的研究最为广泛。该材料目前主要通过刻蚀三元碳化物或氮化物（MAX相）后进一步插层得到,因此MAX相材料的纯度和制备工艺条件直接决定了Ti₃C₂T_x MXene材料的物化性质。主要完成了不同Ti₃AlC₂ MAX相材料的筛选,选择氢氟酸（HF）刻蚀,并优化了不同的插层方法,制备了一系列Ti₃C₂T_x MXene材料。通过X射线衍射（XRD）、场发射扫描电镜（FESEM）、透射电子显微镜（TEM）、原子力显微镜（AFM）和X射线光电子能谱（XPS）等表征,确定使用原位锂离子（Li⁺）插层法可有效获得单层Ti₃C₂T_x MXene材料。制备的单层Ti₃C₂T_x MXene材料的表面平整,片径约为150 nm,厚度约为2 nm。同时,创新性地采用涡旋震荡辅助材料分层,极大地缩短了超声时间,提高了单层Ti₃C₂T_x MXene材料的产率（可达70%）,并且可以避免材料氧化,为Ti₃C₂T_x MXene材料未来应用提供了新方法。