第三型伯恩斯坦插值过程的双结点修正

In this work,the well-known problem put forward by S N Bernstein in 1930 is studied in a deep step.An operator is constructed by revising double interpolation nodes.It is proved that the operator converges to arbitrary continuous functions uniformly and the convergence order is the best.     

LQ理论在参数随机的证券投资组合套期保值中的应用

在连续时间情形、不考虑交易费用、市场无摩擦假设,以及套期保值准则等条件下,考察了参数随机的证券投资组合中加入未定权益类衍生品形成的最优动态投资策略(u*(t)),并给出了该投资组合的最优模型所对应的黎卡提(Riccati)方程的解的存在性证明.     

具有投资的多时段双轨制经济的一般均衡

研究了多时期的序列市场，主要考虑有投资的双轨制经济，建立了相应的数学模型。     

矩形域上张量积 Bézier 曲面的分段定理

利用计算机辅助几何设计（ＣＡＧＤ）中使用最广泛的参数曲面之一Ｂｚｉｅｒ曲面的算子表示与重新参数化技巧，给出定义在矩形域内任一四边形上的子曲面片的张量积Ｂｚｉｅｒ表示，其Ｂｚｉｅｒ控制顶点可从原曲面的控制顶点由显式的公式计算。Ｂｚｉｅｒ曲面传统的离散方法与广义离散方法均为该文的特例。     

Fibonacci数列的模数列的周期的一个性质

Fibonacci数列的模数列是周期数列,并且是纯周期数列.利用模数列的定义,讨论了Fibonacci数列的模数列的周期的一个性质,证明了下列结果:假设m1与m2为不同的正整数,Fibonacci数列{Fn}的模数列{an(m1)}与{an(m2)}的最小正周期分别为T1与T2,则模数列{an([m1,m2])}的最小正周期为[T1,T2].     

单调递增分形函数上、下界的估计

Mass distribution principle is one of important tools in studying Hausdorff dimension and Hausdorff measure.In this paper we will give a numerical approximate method of upper bound and lower bound of mass distribution function f(x)(it is a monotone increasing fractal function)and its some applications.     

Preparation and Recognition Study on the Peptides in Aqueous Media of Poly(pyridine derivative‐co‐acrylamide)

Three copolymers (bearing metal ion coordinated sites) P1 , P2 and P3 were synthesized and their recognition behavior on predetermined peptide sequences was studied by isothermal titration calorimetry.     

STUDIES ON ORGANOPHOSPHORUS COMPOUNDS XXXV——SUBSTITUENT EFFECT OF ORGANOPHOSPHORUS COMPOUNDS ON ~(31)P NMR SPECTROSCOPY

The linear relationship between the chemical shift of the resenant nucleus and the localvan der Waals steric energy calculated by molecular mechanics with MM2 force field wasextended to various organophosphorus compounds including alkyl-phosphates, -phosphonates,-phosphinates as well as -phosphine oxides. The conformational equilibria of a series of alkylO,O-1,3--propylene-and O, O-1,4-butylenephosphonates were studied by the molecular mechanicscalculations and the dynamic ~(31)P NMR spectroscopic method. As shown by these experimentaldata, the former existed in a chair form, and the latter in a twist boat form with an equatorialalkyl group in both configurations, either in gaseous state or in non-polar solvent.     

pET-11b-rhIL-6/BL21(DE3)工程菌高密度发酵工艺研究

以甘油作为碳源、乳糖为诱导剂的发酵方法,平均表达量可达21.91%±5.64%,平均生物量可达338.00 g±77.30 g;以葡糖糖为碳源、IPTG诱导法,平均表达量21.35%±4.94%、平均生物量191.18 g±32.09 g);而以葡糖糖为碳源、乳糖为诱导剂的方法平均生物量可达319.00 g±63.98 g,但表达量只有13.57%±4.56%.     

20世纪90年代以来的简化字研究综述

从简化字的类推、同音替代、繁简问题三方面对20世纪90年代以来的简化字研究进行了梳理。