判断过程

During curve tracking, entering recognition status if comes across intersection, the algorithm makes accurate prediction of curve direction through branch match of welltrained Hopfield network, in combination with width match.

在曲线跟踪的过程中，当遇到交叉点，就进入交叉线识别，通过训练好的网络进行分支匹配，再结合宽度匹配正确判断曲线走向。

In order to set up a CA model that has a better physical significance, a new second criterion, considering the effects of the thermodynamic mechanism and the activation energy, was appended for the transition of cellular state. The grain growth processes were investigated for different temperatures and activation energies, respectively.

摘 要：为建立一个具有更好物理基础的晶粒长大仿真模型，采用CA法，基于热力学和能量机制，提出元胞取向状态转变的二次判断方式，制定相应的转变规则，并对不同温度和材料迁移激活能条件下晶粒长大过程进行模拟研究。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational, basic, differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式，给出了这几个不等式的一些应用实例，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational ,basic , differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality and Minkowski inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式和闵可夫斯基不等式以及这几个不等式的应用，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

It has to be very cautiously judged and needs long political procedures.

所以必须非常谨慎的判断，并且需要一个长期的制定和完善过程。

Observing the mating process is the most accurate way to tell whether your centipede is male or female.

观察交配过程是最准确的方法来判断你的蜈蚣是男是女。

According to the principle of quantum mechanics, exploringly presented the possible mechanism of large-scale expansion at forepart of earth, quanta earth tectonic dynamic mechanism formed from super solid state of centrosphere material, presented the integral tectonic criterion in the process of evolution of earth system considering potential of quanta, potential energy of gravitation and heat energy as a result of special state of matter of centrosphere.③Established the evolutional model of finite nonlinear expansion to of integral tectonic dynamic of earth expansion., presumed and gived the skeleton model of original forepart earth before expanding. Applying the universal large scale finite element software, for the first time considered heat power and self gravitation in the same model of tectonic dynamic model simultaneously.

较系统地讨论了地球膨胀整体构造动力的若干基本理论问题：①分析汇总了地球演化产生、积累和以各种形式损耗的总能量，根据考虑引力势能与热能的维里定理，对现时地球整体动力状态进行判断；②根据量子力学原理，探索性地提出地球大规模膨胀的可能机制——地核物质超固态形成量子简併压强产生的动力——地球量子动力，给出了考虑地核特殊物态的量子势能、引力势能和热能的地球系统演化过程中的整体动力状态判据；③建立了地球膨胀整体构造动力的非线性有限膨胀演化模型，推测给出膨胀前早期地球的轮廓性模型。

In the same time, all three proposals share the same feature that their strength may also be weakness from a different aspect. For my part, the debate remains that if the City and its performing art circle needs very radically innovative theater complex or a more conventionally, well-proven layout.

同时，这三个提案的特色，由另一个角度看，也可能是它们的罩门，我自己在评审过程中，最难判断的就是，我们的城市和表演艺术圈，究竟是需要一个非常前卫，乃至於到了激进的艺术中心，还是一个面面俱到，传统式剧院的组合。

Here, we use only the actual process of combining some of the problems, to make qualitative judgments.

这里，我们只结合实际使用过程中的一些问题，定性的做出判断。

By talking above problems, the paper brings forward a new concept that is called the background information of grid creation, and thinks over three points of the improvement of front advance, and puts forward and talks the essential of judging whether the polygon is concave or protruding and six practical methods.

在探讨过程中，本文提出了背景信息这一概念，考虑了改进阵面推进法的三个要点，提出并详细讨论了判断多边形凹凸方法的实质和六种实用方法，此外还着重对网格粗细会对数值计算产生什么影响及如何产生影响作了较严格的分析。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。