MR动态增强联合扩散加权成像技术在乳腺疾病诊断中的价值

目的探讨乳腺MR动态增强扫描联合扩散加权成像技术在乳腺疾病影像诊断中的价值。方法对48例女性乳腺患者进行MRI检查,先进行双侧乳腺常规MRI平扫,再进行双侧乳腺扩散加权平面回波（EPI）序列扫描,最后行乳腺动态增强扫描。通过后处理,得到病灶处表观弥散系数（ADC）值及时间-信号强度曲线。结果根据时间-信号强度曲线特点及ADC值,结合常规MRI形态学特点进行良、恶性病变诊断。MRI诊断为恶性肿瘤19例,良性病变29例。手术或活检病理结果证实MRI诊断为恶性肿瘤的19例患者中,18例为恶性肿瘤,另外1例为良性肿瘤（旺炽性腺瘤）;MRI诊断为良性病变的29例患者,手术或病理活检均证实为良性病变。MRI区分乳腺良、恶性病变的准确率为97.9%（47/48）,与手术或病理活检准确率（100%）比较差异无统计学意义（字2=0.044,P=0.834）。结论动态增强扫描联合扩散加权成像技术,可提高乳腺疾病影像诊断准确率。     

Hydraulics of Peat Filters Treating Septic Tank Effluent

Peat is an alternative filter medium for the treatment of various waste streams including septic tank effluent. The water holding capacity and adsorption capacity of peat make it a favorable filter medium over sand or gravel which are commonly used as the filter medium for the drainage field of septic systems. This paper presents the results of a field study to evaluate the hydraulics of a peat filter used to treat the septic tank effluent from a public school west of Ottawa, Canada. An experimental box was placed within the filter during its construction to provide access to the vertical profile of the peat layer. The filter is periodically pulsed with septic tank effluent, which is distributed over the top of the filter and flows vertically through the peat. The filter was instrumented with tensiometers and transducers to monitor the pore water pressures in response to a pulse of septic tank effluent. An in-depth study of the hydraulics of the system was completed. The soil moisture retention curve and the hydraulic conductivity as a function of density were determined in laboratory experiments. A one-dimensional unsaturated flow model was used to predict the pressure response due to a pulse. A comparison of the field and model results illustrates the impact of the density variations, and the corresponding hydraulic conductivity variations, on the model predictions. The compaction of the peat is an important design consideration for the filter since it directly impacts the flow characteristics and the hydraulic retention time within the filter.     

一类广义Liénard系统解的有界性

获得了广义 Liénard系统dxdt=p(y) -F(x) ,　 dydt=-g(x) q(y)所有正半轨线有界的若干充分条件 ,推广改进了已有文献 [1— 1 2 ]中的相应结果 .     

On the -torsion of elliptic curves and elliptic surfaces in characteristic

We study the extension generated by the -coordinates of the -torsion points of an elliptic curve over a function field of characteristic . If is a non-isotrivial elliptic surface in characteristic with a -torsion section, then for 11$"> our results imply restrictions on the genus, the gonality, and the -rank of the base curve , whereas for such a surface can be constructed over any base curve . We also describe explicitly all occurring in the cases where the surface is rational or or the base curve is rational, elliptic or hyperelliptic.

     

Parametric splines on a hyperbolic paraboloid

A hyperbolic paraboloid over a tetrahedron, constructed in B–B algebraic reduced form with its barycentric coordinate system, can be conveniently represented by two parameters. An arc on the surface, obtained by determining a type of function relation about the two parameters, has multiformity and consistent endpoint properties. We analyze the equivalence and boundedness of an arc’s curvature, and give a process of the proof. These arcs can be connected into an approximate G²$G^2$-continuity space curve for fitting to a sequence of points with their advantages, and the curves, connected by this type arcs, are quite different from other algebraic and parametric splines.     

The proof of hermann''s conjecture

This note proves Thomas Hermann's conjecture on the comparison between twoboundaries of the derivatives of rational cubic Bezier curves. The result is valuable for computer aided geometric design.     

SOME REMARKS ABOUT THE AREA-PRESERVING CONVEX CURVE FLOW IN THE PLANE

Using Picard‘s theorem and the l.eray-Schauder fixed point theorem to reinvestigate the area-preserving convex curve flow in the plane which is considered as a coupled system and thus different from the setting handled by Gage.     

线性加指数效用函数的组合投资研究

应用无差异曲线法较好地解决了在投资决策分析中具有特殊重要地位的线性加指数效用函数的最优组合投资比例的求解问题,并给出实例予以说明.     

椭圆曲线素阶群上的离散对数求解

该文对解椭圆曲线上离散对数的Pollard ρ算法和并行碰撞搜索算法分别建立了它 们的图论模型和分析了碰撞技巧,比较了两个算法,进而提出了设计迭代函数的准则并 给出一个改进的并行碰撞算法.     

On the field of definition for modularity of CM elliptic curves

The purpose of this paper is to decide the conditions under which a CM elliptic curve is modular over its field of definition.