理论上的

The theory of elementary siphons has proved that a supervisorcan be computed and its size is linear with the size of the plant net model. But siphonenumeration is required for the purpose of determining a set of elementary siphons.

基本信标理论已从理论上证明可以得到与Petri网规模呈线性关系的受控Petri网模型，但在确定一组基本信标时同样受到枚举Petri网中所有信标问题的困扰。

No other letter of Paul to a Church is so free and easy and epistolary as is this letter; it defies strict doctrinal analysis, and is far more personal than doctrinal.

没有任何其他信保向教会是如此轻松和书信的是这封信，它违背严格的理论分析，并远远超过理论上更个性化。

Chapter 5 theoretically concludes how the tradition of expostulation writing in Chinese poetry came into being during Han dynasty, and points out its influences on literature theories and writings of later times.

第五章从理论上总结中国诗歌讽谕传统在汉代的形成，并指明其对后世文学理论和文学创作的影响。

Using the classical Mie scattering theory and Fraunhofer diffraction theory , a detailed analysis of the differences of the light energy distribution on the multi-element concentric photodetector of a laser particle sizer is given.

本文用Mie散射理论和Fraunhofer衍射理论分别讨论了颗粒散射在激光测粒仪同心多环光电探测器上的能量分布，详细计算并比较了两者之间的差别，指出。。。

A technique based on lifting scheme is presented to construct the compactly supported wavelets whose coefficients are composed of a free variable. When t=1, the integer wavelets based on lifting scheme only use integral addition and shift, so it's fast and easily realized via hardware.

在理论上，基于提升理论构造了一种包含自由变量t的紧支撑小波，选取参数t=1的9/7整数小波基，只需要整数加法和移位实现，运算量低，便于硬件实现。

The distribution laws of seismic displacements and stresses in overflow section of gravity dam are analyzed.

从理论上而言，对动力分析中所涉及的相关理论进行了简明扼要的阐述。

Hereinto, the study of Multi-Agent simulation of economies based on the complex adaptive system theory is an important research branch of the complexity of economy.

首先，由于现实经济中涉及的因素众多，相互关系复杂，给数学方法的运用带来了一定困难；其次，传统方法没有很好地解决经济系统的层次性结构问题，因此，无法对不同层次的特性差异给予一个整体性的解释，也就产生了宏观、微观相互脱节的理论体系上的缺陷；再次，传统经济理论对现实经济普遍存在的信息不完备与不确定性尚不能给予系统的解释；最后，传统经济中以观测数据为基础的经验主义的研究方法，无法深入了解经济的微观运行过程，从而降低了理论对现实的解释与预测能力。

According to the structured element representation theorem of fuzzy number and fuzzy-valued function, we obtained one-to-one isometric mapping from the family of standard bounded monotone function with same monotonic formal on [-1, 1] to the fuzzy number space, and proved they are homeomorphic.

在模糊值函数的模糊结构元表述理论的基础上，利用[-1，1]上同序标准单调函数类上的距离诱导出模糊值函数空间上的距离，证明了模糊实数空间与[-1，1]上同序单调函数类同胚。

The solitary wave can be generated considering Goring and Raichlen's movement of a paddle. The proposed original linear solution for the solitary wave generation is expressed in the hypergeometric function. Two disadvantages of the original solution with large trailing wave and skewed wave profile are found by comparing with the theory of solitary wave derived from Boussinesq's equation.

本文并以弱非线性的孤立波造波问题做为解析之对象，由於孤立波造波板速度为一超越函数，造成解析上的困难；本文以 hypergeometric 函数推求常微分方程式之全解，并与理论波形解比较后，发现由於未考虑非线性及分散性过强等问题，使得线性暂态解较理论波形拉长与歪斜，可能无法有效描述孤立波造波问题，故针对线性之分散关系做出修正。

The solitary wave can be generated considering Goring and Raichlen's movement of a paddle. The proposed original linear solution for the solitary wave generation is expressed in the hypergeometric function. Two disadvantages of the original solution with large trailing wave and skewed wave profile are found by comparing with the theory of solitary wave derived from Boussinesq's equation. The difference between the original linear solution and the solitary wave theory results from the nonlinearity and dispersion of generated waves in the flume.

本文并以弱非线性的孤立波造波问题做为解析之对象，由於孤立波造波板速度为一超越函数，造成解析上的困难；本文以 hypergeometric 函数推求常微分方程式之全解，并与理论波形解比较后，发现由於未考虑非线性及分散性过强等问题，使得线性暂态解较理论波形拉长与歪斜，可能无法有效描述孤立波造波问题，故针对线性之分散关系做出修正。

Recall that, in the Kolmogorov axiomatization, measurable sets are the sets which have a probability or, in other words, the sets corresponding to yes/no questions that have a probabilistic answer.

延期开工的Kolmogorov宣布要衡量所有套职能有限许多坐标限制在于衡量子寅。换句话说，如果是/否的问题回答f可看的价值观念在许多最有限坐标，然后它有一个概率的答案。

The experimental results showed that the algorithm can filter singular points and remain fixity of the target edge.

实验表明：基于模糊理论的图像智能滤波方法比常规图像滤波方法运算量小，它既能去除奇异点，又能保持图像中目标的边缘不变性，具有很好的滤波效果。