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Based on this property, by solving a series ODEs we construct a two-parametric family of helicoidal surfaces under cubic screw motion with prescribed mean curvature or Gauss curvature and solve an open problem left by Beneki.

基于这一点,当螺旋面的平均曲率或Gauss曲率为给定光滑函数时,本文选取伪正交标架,使得两类螺旋面的平均曲率和Gauss曲率的表达式相对简化,通过求解一系列的非线性常微分方程,即可确定一族生成曲线,从而最终确定平均血率或Gauss曲率为给定光滑函数的双参数族螺旋面,并在这一过程中解决了Beneki等人留下的一个公开问题。

Distinct from those methods, this paper's main idea is to reformulate CPs as an unconstrained minimization problem with the form of least squares of a system of overdetermined equations being equivalent to the CPs.

与这些方法不同,本文的基本思想是借助互补问题与某个超定方程组同解的事实,利用该方程组的最小二乘形式将原问题直接转化为无约束优化问题,这样不仅把问题转化为光滑优化问题,而且避免了引入光滑参数导致的不便。

Results: MR demonstrated capsule wall and papillary solid lesions in one case with cystic and solid lesions of hepatobiliary cystadenoma. Poly cystic form tan if different sine in sew case, capsule wall and septation was thick, part of capsule wall was obviously thickened and nodes form, intrahepatic bile duct was dilated, large poly-antrum cystic keen form structure in one case, capsule wall and septation were smooth, part of capsule wall was uniformly thicken, capsule wall, septation, mural nodus form and solid lesions in three cases wee all slightly hyperintense on T2WI and slightly hypointense on T1WI. Part of cyst fluid was hypointense on T2WI the diameter if tumor ranged from 3.4cm to 13.5cm. Part of capsule wall, septation, solid lesions and mural nodus west obviously enhanced in arterial phase in three cases, the extent of enhancement showed a little degrade in port vein phase, balance phase and delay phase, but dense to liver parenchyma at synchronization.

结果:3例肝内胆管囊腺瘤中1例呈囊实性结构,可见囊壁及乳头状实性肿块;1例为多个大小不等的多房囊状结构,囊壁及分隔光滑,囊壁局部明显增厚,有壁结节,周围见轻度的肝内胆管扩张;1例为巨大的多房囊状结构,囊壁及分隔光滑,局部均匀增厚;3例中的囊壁、分隔、壁结节及实性部分均呈T2WI稍高信号、T1WI稍低信号,囊内液性部分均呈T2WI高信号、T1WI低信号;肿瘤瘤体大小径线范围3.4~13.5cm.3例肝内胆管囊腺瘤中囊壁、分隔、实性肿块和壁结节动脉期均明显强化,门脉期、平衡期及延迟期强化程度略减低,强化程度均高于同期肝实质。

On the other hand, if one subdivide the surface into a large or small number of piec

物体的表面一般都具有一定的光滑性,因此拟合小曲面片的这些NURBS曲面之间就必须达到一定程度的光滑连接。

Corrected Smoothed Particle Hydrodynamics method based on Taylor expansion is proposed, which will remove the shortcomings of conventional SPH, and so it is a good method indeed.

建立在Taylor展开思想基础上的改进的光滑粒子法,可以有效地克服传统光滑粒子法中存在的这些问题,因此是一种更为理想的离散格式。

However, few reports discuss the smooth Lorenz-like system with multi-wing attractors,and the attractors with both hyperchaotic dynamics and multi-wing topological structure are seldom reported. Based on the existing smooth hyperchaotic system,the common characteristics of these systems are analyzed.

构造超混沌系统在目前并非难事,在Chua系统基础上构造具有多涡卷拓扑结构的吸引子也有很多系统方法,但较少有文献讨论基于Lorenz系统族的拥有多翼结构吸引子的光滑混沌系统,而同时具备超混沌特性和多翼拓扑结构吸引子的光滑混沌系统则更少报道。

The stability of GA-PBCA-NP was also studied.ResultsDue to the agglomerationg of nanoparticles with no stabilizer,it was difficult to preparate.GA-PBCA-NP produced by the two methods both had spheric and smooth outer appearance,uniform distribution,nonadherence and stability.The diameter,ebeding ratio and drug loading in GA-PBCA-NP produced by emulsification polymerization and interfacial polymerization methods were 90~600 nm and 200 nm,60.49% and 73.87%,18.15% and 22.23%,respectively.

结果未添加稳定剂的纳米球表面粘连团聚现象严重,难以成球;乳化聚合法制备的GA-PBCA-NP在透射电镜下观察表面圆整光滑,粒子之间不团聚,不黏连,粒径范围在90~600 nm,包封率为60.49%,载药量为18.15%;界面缩聚法制得的纳米粒表面圆整光滑,粒子之间不团聚,不黏连,粒径大小均匀,都在200 nm左右,包封率为73.87%,载药量为22.23%,两种方法制备的稳定性都较好。

GA-PBCA-NP produced by the two methods both had spheric and smooth outer appearance,uniform distribution,nonadherence and stability.The diameter,ebeding ratio and drug loading in GA-PBCA-NP produced by emulsification polymerization and interfacial polymerization methods were 90~600 nm and 200 nm,60.49% and 73.87%,18.15% and 22.23%,respectively.ConclusionIt is important to add dextran 70 in preparation.

结果未添加稳定剂的纳米球表面粘连团聚现象严重,难以成球;乳化聚合法制备的GA-PBCA-NP在透射电镜下观察表面圆整光滑,粒子之间不团聚,不黏连,粒径范围在90~600 nm,包封率为60.49%,载药量为18.15%;界面缩聚法制得的纳米粒表面圆整光滑,粒子之间不团聚,不黏连,粒径大小均匀,都在200 nm左右,包封率为73.87%,载药量为22.23%,两种方法制备的稳定性都较好。

In order to study the effect of microstructure on the superhydrophobic solid surface for its drag reduction charactertics, micro-ridges grating structures on the basis of K9 glass flat surface were fabricated using femtosecond laser. Experiments were carried out to measure the rheological characterization of 40% glycerin solution on flat and grating structured K9 glass surfaces using AR-G2 rheometer respectively. Both surfaces were modified with trichloro perfluoroocty silane in drying oven.

为了研究超疏水固体表面的微结构对减阻特性的影响,首先利用飞秒激光加工技术在光滑K9玻璃基面上加工出微脊光栅结构,然后将光滑K9玻璃与光栅结构K9玻璃置于干燥箱内进行硅烷化处理,以降低表面自由能,最后用AR-G2流变仪测量两表面的流变特性,试验用流体为体积分数40%的甘油溶液和水。

The experimental results indicate that, over a ranger of tube side Reynolds number and Prandtl number (Re=4000~20000, Pr=6~7.5), the internal Nusselt number and friction factor of spiral-flat tube increased by 30%-150% and 20%-50% respectively compared with smooth tube at the same Re and Pr. The value of friction factor decreases with increasing the value of B/A as well as increasing that of S/de, and the same phenomena can also be observed for Nusselt number.

实验结果表明:管内Nu和f值均随均随B/A值和S/de值的增大而减小,但随B/A值的增加而减小得更快,B/A值对螺旋扁管管内传热与流阻性能影响更大;在相同Re和Pr下,螺旋扁管管内Nu数为光滑管的1.3~2.5倍;阻力系数f是光滑管的1.2~1.5倍。

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