广义函数(连载)

<正> §5.数乘一个数λ与一个函数φ(x)的数乘运算λφ(x)有下列性质1°。如果φ_n(x)是基本列,则λφ_n(x)也是基本列。这个性质能使我们把这种运算推广到任意的广义函数f(x)=[φ_n(x)]上,只要假定     

B(0,N)-graded Lie superalgebras coordinatized by quantum tori Dedicated to Professor Sheng GONG on the occasion of his 75th birthday

We use a fermionic extension of the bosonic module to obtain a class of B(0, A)graded Lie superalgebras with nontrivial central extensions.     

New Levels in ^118Pd Observed in the β Decay of Very Neutron-Rich ^118Rh Isotope

We investigate the β decay of very neutron-rich ^118Rh isotope using on-line mass-separated sources which are produced by applying 25 MeV proton induced symmetric fission of natural uranium at the IGISOL facility. The β-γ and γ-γ coincidence spectroscopy is employed to establish the level scheme of daughter nucleus ^118Pd. Five low-lying new levels are identified for the first time with tentative spin and parity assignments based on the even-mass Pd systematics.     

146Ce核的八级形变带和准γ带

通过测量²⁵²Cf自发裂变所产生的瞬发γ射线, 对¹⁴⁶Ce核的高自旋结构进行了重新研究, 结果更新了以前报道的能级纲图, 把八级形变集体带扩展到更高的自旋, 并且重新构建了可能的准γ带结构. 此外, 用反射不对称壳模型(RASM)对¹⁴⁶Ce核的八级形变带进行了计算, 低自旋处的计算结果与实验数据符合得很好.     

Characteristics of Nd：GdVO4 Laser with Different Nd-Doping Concentrations

We report the properties of a compact diode-pumped continuous-wave Nd：GdV04 laser with a linear cavity and different Nd-doped laser crystals. In a 0.2at.% Nd-doped Nd：GdVO4 laser, 1.54 W output laser power is achieved at 912nm wavelength with a slope efficiency of 24.8% at an absorbed pump power of 9.4W. With 0.3at.% Nd-doping concentration, we can obtain the either single-wavelength emission at 1064nm or 912nm or the dual-wavelength emission at 1064nm and 912nm by controlling the incident pump power. From an incident pump power of 11.6 W, the 1064nm emission between ^4Fa/2 and ^4I11/2 is suppressed completely by the 912nm emission between ^4Fa/2 and ^4I9/2. We obtain 670 mW output of the 912nm single-wavelength laser emission with a slope efficiency of 5.5% by taking an incident pump power of 18.4 W. Using a Nd：GdV04 laser with 0.4at.% Nd-doping concentration, we obtain either the single-wavelength emission at 1064nm or the dual-wavelength emission at both 1064nm and 912nm by increasing the incident pump power. We observe a strong competition process in the dualavelength laser.     

Global Parametric Sufficient Optimality Conditions for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized （η,ρ）-invex Functions

In this paper,we discuss a large number of sets of global parametric sufficient optimality condi-tions under various gcneralized (η,ρ)-invexity assumptions for a semi-infinite minmax fractional programmingproblem.     

Hilbert Space of Probability Density Functions Based on Aitchison Geometry

The set of probability functions is a convex subset of L1 and it does not have a linear space structure when using ordinary sum and multiplication by real constants. Moreover, difficulties arise when dealing with distances between densities. The crucial point is that usual distances are not invariant under relevant transformations of densities. To overcome these limitations, Aitchison＇s ideas on compositional data analysis are used, generalizing perturbation and power transformation, as well as the Aitchison inner product, to operations on probability density functions with support on a finite interval. With these operations at hand, it is shown that the set of bounded probability density functions on finite intervals is a pre-Hilbert space. A Hilbert space of densities, whose logarithm is square-integrable, is obtained as the natural completion of the pre-Hilbert space.     

活动标形及其在点啮合齿轮传动误差分析中的应用

活动标形法的论述首推苏步青译，佐佐木重夫著《微分几何学》，还有的著作从外微分形式引入活动标形,本文论证取曲面的正交曲率网为参数网时，曲面论的基本公式就是活动标形的微分形式，并用其分析了点啮合齿轮传动误差．     

CO、H_2及HO_2在Co/SiO_2催化剂上吸附的原位红外光谱

用原位IR研究了CO在Co/SiO_2催化剂上的吸附,并考察了吸附的CO与H_2、H_2O的相互作用。CO在Co/SiO_2上的吸附显示出四种不同的吸收峰。2002、2027cm~(-1)归属于端基CO吸附;2120cm~(-1)归属于CO在钴离于上的吸附;1870cm~(-1)为CO的桥式吸附;1720cm~(-1)则为多中心吸附。当温度高于370K时,吸附的CO会完全脱附。H_2与吸附的CO相互作用可削弱CO吸收峰的强度,并逐步在低波数(1980cm~(-1))处产生一个小肩。水与吸附的CO相互作用产生一种甲酸基物种(1585、1390cm~(-1))。该物种被认为是Kòlbel-Engelhardt反应的中间体。     

火花熔蚀-电感耦合等离子体光谱法分析地质矿物

火花熔蚀-电感耦合等离子体光谱法(SA-ICP)用于测量锆石中铪-锆比值和锰铁矿瘤中的铈、钴、铁、铅、镍和磷。用信背比和信嗓比的序贯单纯形优化法建立了用于高压火花和氩气ICP系统的六个操作参数。将磨细的样品与铜压成饼,从样品中熔蚀出的分析物和基体元素的原于发射信号的时间相关性给出一种用火花来作选择取样的方法。测量锆石中的铪、锆浓度比的精密度为4%(相对标准偏差)。对于锰铁矿瘤,根据分析线对锰(Ⅱ)257.610纳米线强度比的光谱测量结果达到分析精密度范围为7-14%(相对标准偏差)。分析的准确度用参比物USGS诺得(Nod)P-1的标准物加入法来决定,而与锰浓度的测量无关。