计算多项式

Different from the case of strict minimal siphons in a net system, the number of elementary ones is bounded by the smaller of place count and transition count. Based on the ideas mentioned above, this thesis proves that the set of elementary siphons is not unique, while different ones may lead to different control results.

本文在此研究的基础上，论证了网系统中的基本信标的不唯一性，控制不同的基本信标可以得到不同的控制效果，进而提出了最优基本信标的概念并给出了相应的计算方法，应用这一计算方法可以在多项式时间内求得一组最优基本信标，也就是说，控制该组基本信标相对于其他的基本信标可以使得系统Petri网模型具有最多的可达状态，这在实际中，意味着系统具有更大的灵活性。

So the paper analyzes system complexity by inversion, and it, in the theory, is also a non-computable problem or unsolvable problem, that is not to simply say a lot or hugeness.

另一个是理论上可计算性的，但实际中由于问题的计算量以非多项式增长无法在现有计算机可接受的时间内完成。

The discrete velocity ordinate method in the kinetic theory of gases is developed and applied to discretize the correspo

借助非定常时间分裂法和无波动无自由参数的NND耗散格式，建立直接求解微观分子速度分布函数的有限差分数值格式；研究并发展可用于离散速度坐标点选取和离散速度空间宏观取矩的高斯─埃尔米特无穷积分方法、等均间隔的牛顿─柯斯复合积分法、以勒让德多项式的根为积分结点的高斯─勒让德数值积分法，并应用于不同马赫数绕流模拟；通过对不同流域一维激波管问题、二维圆柱绕流问题和三维球体绕流的计算研究，并将计算结果与其他途径得到的研究结果诸如DSMC模拟值、N-S解及有关实验数据进行比较分析，创建了一套能有效模拟稀薄流到连续流不同流域气体流动问题简化的统一数值算法研究框架

Meanwhile,by analyzing the calculation results of NL Method,and using Least Squares Method or Lagrange's Interpolation Polynomial Curves to simulate the relationship between horizontal force and deformation of both Steel-pile Cluster and Rubber Fender separately,the energy allocation rate of Steel-pile Cluster and Rubber Fender can be determined.

采用NL法来计算桩身内力和变形，同时，对NL法计算出的多个结果进行分析，并采用最小二乘法或Lagrange插值多项式曲线分别模拟钢簇桩和橡胶护舷承受的水平力和相应的变形之间的关系来求解钢簇桩和橡胶护舷能量分配比例。

Then a four-node element formula is given. In order to avoid the inverse of the flexible matrix, Legendre polynomial is adopted in the interpolation. Thus the calculation efficiency is raised.

为了避免单元柔度矩阵的求逆，采用Legendre正交多项式作为插值函数，将求逆运算转变为矩阵的乘法计算，从而提高了计算的效率。

Then, the boundary points are extracted. By using Shu's theorems the sum of Legendre polynomial of the boundary points is calculated.

首先使用Yang-离散格林公式将二值图像矩计算中区域内求和转换为沿区域边界求和；然后提取该图像的边界点；再利用Shu提出的公式计算出边界点的Legendre多项式的叠加值。

The equation for item level from item slot is a logarithmic equation and the equation from item level to weapon DPS would require an exponential equation, therefore an equation from item slot value, the value prior to item level, to weapon DPS would be a linear equation.

武器DPS是物品等级中一个很有趣的属性，因为它似乎有多种计算方法。最近加入的传家宝物品可以提出和回答这个问题。物品等级在57以前的时候，它的计算方法和蓝装的线形公式一样，传家宝武器不是线形增长的，似乎是介于线形和多项式增长之间。在58-67的时候，传家宝武器的DPS随物品等级成指数增长。在68-80的时候，武器DPS也是成指数增长，但是速度不同。在100-226之间的史诗物品成相同的指数增长。

In the method of the invention, a baseband signal is pre-processed to realize nonlinearity compensation. The pre-processing method comprises the following steps: the filter coefficient and the multinomial coefficient of the high power amplifier are extracted; corresponding gain is calculated for the amplitude value of each point input into the sequence of the baseband signal, and the phase compensation value is calculated according to the amplitude gain; the phase compensation value and the gain which are corresponding to each point are synthesized into re-gain, a pre-processing value pi is obtained, and pre-processing output sequence is formed; the pre-processing output sequence is output into the high power amplifier directly or through a inverse filter.

本发明方法是将基带信号进行预处理来实现抵偿非线性，预处理方法是：提取出高功率放大器的滤波器系数和多项式系数；对输入基带信号序列中的每一点的幅值计算对应的增益，根据幅度增益计算出相位补偿值；每一个点对应的相位补偿值与增益合成复增益，得到预处理值p i ，构成了预处理输出序列；将预处理输出序列直接或经过反向滤波器后输出到高功率放大器中。

2D intra-nodal pin power is reconstructed using the modulation method with high polynomial expansion. Simpler calculation of the corner point flux is applied to improve the efficiency.

采用高阶多项式展开的调制方法对节块内的二维精细功率分布进行重构；由于采用更为简单的角点通量的计算方法，因而提高了计算效率。

Furthermore,the stability behavior and accuracy characteristics of the algorithmare proven by a spectral decomposition method.

在前人工作的基础上，提出了一种新的用于解决结构动力分析问题的时间积分方法——Taylor级数方法；建立了求解线性问题和非线性项可以表示为多元多项式形式的非线性问题的Taylor级数方法的理论，并给出递归求解通式；阐述了该方法的程序实施过程，给出了计算流程图，并在非线性有限元分析平台NFAP中嵌入了Taylor级数方法的计算模块；利用谱分解的方法分析了该方法的稳定性和精度特性，以封闭的解析形式给出了描述积分法特性的周期延长率和振幅衰减率的表达式；通过对该方法的理论分析和特性研究，阐述了该方法的可行性和高效性。

This is not an ordinary box, which is used as a background picture of the dialog box, very pretty.

详细说明：这可不是一个一般的对话框，它是用图片作为背景的对话框，非常好看。

Conceal me what I am,and be my aid for such disguise as haply shall become the form of my intent.

遮掩我的身份，帮助我，我的面具将成为我的目的。