分支曲线

For a general parametric curve/surface, we usually cannot compute its exact implicit form. Even though its exact implicit form can be computed, the curve/surface implicitization involves relatively complicated computation and the degree is higher. Moreover, it may have unexpected components and self-intersections. All these unsatisfied properties limit the applications of the exact implicitization. So finding curve/surface approximate implicitization has become a practical problem. In this paper, we present an algorithm to solve the approximate implicitization of a given parametric curve by using a quadratic algebraic spline curve.

由于精确隐式化过程不一定可以实现，即使可以实现隐式曲线曲面的阶数高计算复杂，并且具有不希望的自交点和奇异分支，从而限制了隐式化的运用，所以寻求参数曲线曲面的近似隐式化问题成为很实际又重要的问题，提出利用二次代数样条曲线来实现一般平面参数曲线近似隐式化的一种算法。

This dissertation also points out that TCSC can just move along one branch of fundamental-frequency impedance curve and will not step to the other one if only the trigger angle is changed.

如果电抗器支路的等效电阻比较大，那么这两条分支曲线的阻抗值和斜率都不会太大。

A line considered a limit to a curve in the sense that the perpendicular distance from a moving point on the curve to the line approaches zero as the point moves an infinite distance from the origin.

渐近线与曲线极限相关的一条直线，当曲线上某动点沿该曲线的一个分支移向无穷远时，动点到该直线的垂直距离趋于零

Analysing and computing its coefficient, we find out the bifurcation of curve for its parameter plane.

然后对其系数进行分析、计算，找出其系数参数平面的分支曲线。

The main work of the thesis is summarized as follows:(1) The pitchfork bifurcation of a bidirectional associative memory neural network with three neurons is considered. The pitchfork bifurcation curve can be obtained.

本文主要研究工作如下：(1)研究了含三个神经元的BAM神经网络模型的Pitchfork分支问题，得到了一条Pitchfork分支曲线，并给出了分支曲线图。

Besides, the pitchfork bifurcation of this system is investigated. The pitchfork bifurcation curve can be obtained and the stability of equilibrium points is discussed in the domain partitioned by bifurcation curve.

同时还研究了含有n＋1个神经元的多时滞BAM神经网络模型的Pitchfork分支问题，得到了Pitchfork分支曲线，讨论了在分支曲线的不同区域里平衡点的稳定性。

From the results obtained it can be found that, in dispersion curves higher branches cut on as fluid waves and then quickly change their behaviour to that of shell waves described by plateaux, finally they convert to fluid waves again.

研究结果发现，频散曲线中高阶分支曲线所代表的波都是以流体型波开始传播的，然后再转变为平直段的壳体型波，最后又转变为流体型波。

The effect of the angel between vessels and bifurcation ratio were taken into account,and the local Nusselt number at three typical radial angels and the mean Nusselt number on a section in the branching vessel were obtained.

用有限元方法数值模拟了血管分支结构内血液流动的三维速度场和温度场，得到了分支血管壁面3个典型径向角度的局部努塞尔数和血管截面平均努塞尔数沿管长的变化曲线。

Changes of DBE activity of four cultivars had a single-peak curve, and the peak appeared in 14 d after anthesis. HPLC analysis showed that the activity of DBE to amylopectin was similar. There are two types of DBE in the wheat grains, one is isoamylase, and the other is limit dextrinase.

在灌浆过程中，淀粉去分支酶的活性均呈单峰曲线变化，灌浆中期活性最大；淀粉去分支酶对底物支链淀粉均具有相似的酶解活性；对灌浆中期小麦淀粉去分支酶进行的纯化结果表明，小麦籽粒胚乳中也存在2种类型的淀粉去分支酶，一种是以极限糊精为特异性底物的极限糊精酶，另一种是以支链淀粉为底物的异淀粉酶。

To study feasibility of the method, convective heat transfer between blood and tissue in a simple furcated vessel system is computed with finite element analysis.

为分析其可行性，用有限元数值模拟方法计算血管分支结构中血液与组织的对流换热，得到不同流速和半径下分支血管内血液的截面平均Nu数沿管长的变化曲线。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。