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In this paper,we mainly make a deep and systematic study of sample path prop-erties for high and infinite dimensional Gaussian processes,especially for high andinfinite dimensional Wiener process in stronger norm-Holder norm than ever(everbefore,there used to be uniform norm and the process was limited to one dimen-sion).We not only deal with all kinds of functional moduli of continuity,but alsoconcern with different forms of functional limit theorems of C-R increments.

本文主要对高维的以至无穷维的Gauss过程、特别是Wiener过程的样本轨道性质在较以往更强的范数—〓范数下作了系统深入的研究(以往通常采用一致范数,过程限于一维),研究的内容不仅包括各种形式的泛函连续模,而且还包括各种形式的C-R增量的泛函极限定理。

It was confirmed that the analogous relations between unsteady one-dimensional chromatographic process and steady two-dimensional CAC process proposed by Wankat still exist regardless of the bioreaction, and the analogous results were shown. A mathematical relation between the feed and the eluant flowrates was established for keeping the CAC in good operation. The optimization of the hybrid process were also discussed.

从理论上指出了在伴有生物反应时,二维稳态CAC过程与一维非稳态间歇色谱过程仍然存在类比关系,并给出了类比结果,推导了使CAC过程处于良好操作状态时进料及洗脱速率应满足的数学关系,对于生物反应液相色谱分离耦合过程的优化原则也进行了初步探讨。

On the one hand, the component method is introduced into flowchart design, which can not only enlarge the depth and the connotation of the flowchart, but also extend the traditional concepts of the flowchart. By combining the component method and the objectoriented method, it will be easy to illustrate the industry flow and meet with the future requirements of the industry control software. On the other hand, the trajectory concepts in plane moving, the method of using Bezier Curve to approach the 1/4 arc to implement the arc circumrotation, the method of using graphic elements' combination to extend the expression capability, and the method of combining the graphic elements'combination, three-dimensional graphic elements and bitmaps to realize the three-dimensional effects to express the industry flow more realistic are brought forward in this dissertation.

工控软件中最能够体现人机接口设计创造性的画面当属流程图,本文对流程图设计进行了深入研究,提出了一种工控软件流程图设计的新方法:一方面在流程图设计中引入部件化方法,扩展流程图的深度与内涵,延伸了流程图的传统概念与意义,将部件化技术与面向对象技术相结合,能够更好地实现对工艺过程的描述并适应工控软件的未来发展要求;另一方面对流程图中动画关联和三维化这些新兴领域进行了研究,提出了平移动画中的&轨道&概念,以实现图元的沿曲线平移,提出了在圆弧旋转动画中用Bezier曲线逼近〓圆弧的工程化方法,并用最小二乘法进行了验证和工程化参数的获取,实现了利用图元组合来扩展流程图的表达能力,采用了图元组合、三维图元和位图相结合的方法来实现逼真的三维效果,以使工控软件更加符合人机工学,更能形象地反映工艺流程。

Methods One normal adult male was choosed, and his left elbow joint performed in pronation and extention position was scanned by spinal CT, and the two-dimensional image was dealed with Mimics 1 0 software, the three-dimensional finite element model was built up by Abaqus 6.7 software. Finite element calculation was performed to simulate the impact of 1 000 N on the elbow joint, and the stress distribution in the radial head and coronoid were analyzed.

选取1名正常成年男性为研究对象,使其左肘关节处于旋前伸直位,行螺旋CT断层扫描,得到CT数据二维图像,采用Mimics 10.0软件系统处理,利用Abaqus 6.7建立肘关节三维有限元模型,模拟施加1000 N冲击载荷,分析冠状突及桡骨小头内应力分布情况。

Considering 0is descendible mapping, using character of descendible mapping and Cartesian product, one-dimensional self-mapping is extended to n -dimensional self-mapping.

考虑是可降映射,本文利用可降映射的特征及笛卡尔积运算,将一维自映射的情形向更为一般地一类n维自映射进行了推广。

This is the first example of two-dimensional lanthanide MOFs with one dimensional water chains.2、Coordination polymer[Nd_2_3(H_2O)_2]·bpy·4H_2O(2)(bpdc=2, 2′-bipyridine-3,3′-dicarboxylate,bpy=4,4′-bipyridine)had been synthesized under hydrothermal conditions and its structures were determined by X-ray diffraction,and confirmed by IR and TG analysis.

该结构是在二维骨架的镧系配位聚合物中首次观察到的一维的水链结构。2、以Nd_2O_3,2,2′-联吡啶-3,3′-二羧酸和4,4′-联吡啶为原料,采用水热法合成了一个具有二维骨架结构的配位聚合物[Nd_2_3(H_2O)_2]bpy·4H_2O,通过IR、x射线单晶衍射分析和热重等手段对其结构进行了表征。

In 1997,Their infinite-dimensional dissipativity wasfurther studied by Hill,who also studied the finite-dimensional and infinite-dimensionaldissipativity of one-leg methods.However,up to now,no papers have been concernedwith the dissipativity of delay dynamical systems and their numerical solutions.Thethird part of the thesis is devoted to discussing it.

当用数值方法求解这些系统时,自然希望数值方法能保持系统的该重要特性。1994年,Humphries和Stuart首次研究了Runge-Kutta方法对有限维系统的散逸性。1997年Hill进一步研究了Runge-Kutta方法的无穷维散逸性和单支方法的有限维和无穷维散逸性。

Furthermore, the one-dimensional complexes 26 and 28 with strongπ-πpacking interactions are prepared from DMF solvent, which indicates that the traditional solvent volatilizing method could bring low-dimensional complex.4. By measuring the enthalpy changes of the liquid phase formation reaction for complexes a~e, and calculating the electronic densities of five 5-substituted derivation of isophthalic acid, we can make a conclusion that 5-substituted group changing of the ligand has a little influence on oxygen atoms of carboxyl groups.5. Fluorescence experiments of these complexes indicated that they could be used for luminescence materials in future.6. Using packing saturation rule we calculated and analyzed these series of complexes, and the results showed that the changes of complexes with changes of ligands could be explained from the rule.

在DMF溶剂中得到了具有强π-π堆积作用力的一维配位聚合物[Ln(5-NO_2-bdc)(NO_3)]Ln=Pr(26和Ho(28),表明传统的溶剂挥发合成条件可以得到低维的配合物。4、通过配合物a~e的液相生成反应焓的测定,以及配体阳离子的电子密度计算,进一步佐证了间苯二甲酸的5位取代基变化对配体的羧基氧原子配位能力影响不大的结论。5、荧光特性表明此类配合物可以用于发光材料。6、利用堆积饱和规律对所得系列的配合物的进行计算和分析,发现随着配体的变化,配合物的变化可以从堆积饱和规律出发进行解释。

Several novel structures have been determined: Unique ninenuclear complexesincorporating 3d, 4f metals with a sodium ion center, the sodium ion may be serve as atemplate in the formation of these novel complexes; Novel tetranuclear 〓complexes with channels formed by intermolecular weak interactions; First 〓type tetranuclear complex; Peculiar "dimer of dimers" complexes derived frombinuclear complex; Unusual one-dimensional wave chain formed by weakcoordination bonds and hydrogen bonds and two dimensional coordination polymerconstructed through coordination bonds and hydrogen bonds.

1获得了多个文献首报和罕见的特殊结构的配合物:两个同时含有碱金属-过渡-稀土金属的独特的九核配合物;两个具有孔道的稀土-过渡金属异四核配合物;草酰胺类〓四核配合物;两个由双核配合物通过叠氮和单个氯原子连成的四核配合物,尤其是以单个氯桥相连的化合物非常少见;一个由弱配键和氢键连成的具有一维波浪形结构的配合物;一个通过配位键和氢键连成的二维配位聚合物。

Replacing DETA with PIP, a new three dimensional compound 3 issynthesized and the 3D anionic framework of compound 3 is constructed from twodistinct motifs, a one-dimensional tancoite chain and a single 4-ring (S4R) unit,which contains four intersecting channels running throughout the structure as 8,12-member ring channels along to the a axis and 12-member ring channels along theb and c axis, respectively.

其中,以乙二胺为模板剂的亚磷酸铟微孔化合物具有无限的共边4员环一维链状结构;以哌嗪和1,6-己二胺为模板剂合成出的亚磷酸铟化合物分别具有二维交叉8员环孔道和16员环孔道的三维开放骨架结构。

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