系统函数

Third, The author analyzed the shimming method of the existing magnet system and programmed it. Because the base field homogeneity of the open magnet is worse and only passive shimming is available, it is necessary to study more effective shimming algorithm. The ordinary shimming method is based on the disintegration of the magnetic field using spherical harmonics. It is so tedious that involved in large scaled non-linear equations.

再次，详细分析了现有磁体系统的匀场方法，并通过编程运算，发现在开放型磁体这一特殊情况下，由于基场均匀度差和只能使用水磁材料垫补进行匀场等原因，基于对磁场分布用球谐函数分解并消去球谐函数高次项的常规匀场方法在实现上相当繁琐，牵涉到大型非线性方程组的求解，所以必须采用更有效的匀场算法。

The stability of system equilibrium point and the existence condition of 3-D Hopf bifurcation as well as the stability of hence generated periodic solution were analyzed, so that the existence of limit cycles on the two-dimensional stable manifold of one microbial species and its nutrition was verified when other one had the disadvantage in the competition so as to become extinct.

研究当营养消耗率δ1＝δ1为一般的非减连续函数和δ2＝常数的三维Chemostat模型，分析系统平衡点的稳定性，三维系统经历Hopf分支的条件和由此产生的周期解的德定性，证明系统中某一微生物物种处于竞争劣势而趋于灭绝时另一微生物物种和营养的二维稳定流形上极限环的存在性。

The stability of system equilibrium point and the existence condition of 3-D Hopf bifurcation as well as the stability of hence generated periodic solution were analyzed,so that the existence of limit cycles on the two-dimensional stable manifold of one microbial species and its nutrition was verified when other one had the disadvantage in the competiti.

研究当营养消耗率1δ=1δ为一般的非减连续函数和2δ=常数的三维Chemostat模型，分析系统平衡点的稳定性，三维系统经历Hopf分支的条件和由此产生的周期解的稳定性，证明系统中某一微生物物种处于竞争劣势而趋于灭绝时另一微生物物种和营养的二维稳定流形上极限环的存在性。

The dissertation considers that the system state is a function of all the parameters of different subsystems or parts.

本文通过对系统安全状态根本决定因素的分析，认为系统的安全状态是各单元状态参数的函数，由系统中各个单元不同的状态参数唯一确定。

This paper is concerned with two problems: First, a formula is derived to estimate the error of system identification from the autoeorrelative function of stationary random disturbances and that of pseudo-random sequences. It can be used to select the type of pseudo-random sequences to be used for quick identification with a given error.

本文讨论了两个问题：(1)导出了平稳随机干扰的自相关函数、伪随机序列的自相关函数和系统脉冲响应辨识误差之间的定量关系式，可用来选择伪随机序列和估计试验误差。

Thus, we have studied the high-Tc superconducting quantum interference device system by stochastic theory, and obtained some significative result, especially the stationary distribution function of DC SQUID is obtained firstly in the accurate theory, and the expressions of all this systems characteristics functions are obtained.

为此，我们利用随机理论研究了高温超导量子干涉器件系统，取得了一点有意义的成果，特别是得到：DC SQUID系统的定态概率分布的精确解析表达式，进而得到该系统的所有特性函数。

The purpose of chapter 4 is to study a predator-prey model with sublinear functional response function and sublinear density control function. Some results dealing with stability of equilibrium, nonexistence , existence as well as uniqueness of the limit cycle around the positive equilibrium of the model are obtained.

第4章分析了一类食饵的相对增长率和功能反应函数均为次线性函数的食饵-捕食者模型，通过分析，得到了该系统的正平衡点全局稳定和存在惟一极限环的充分条件。

The theoretical analysis are verified by numerical simulations.Chapter 3 mainly considers a class of predator-prey model with sublinear functional response function. We deduce some sufficient conditions ensuring stability of equilibrium, nonexistence , existence as well as uniqueness of the limit cycle around the positive equilibrium.

第3章研究了一类食饵为线性密度制约，功能反应函数为次线性函数的食饵-捕食者模型，完整地对模型的平衡点的全局稳定性和极限环的存在惟一性进行了定性分析，得到了该系统不存在闭轨线，正平衡点全局稳定和存在惟一稳定的极限环的充分条件。

The method is as follows, at first, to calculate the frequency response function of structure corresponding every blasting syntony ponderance, then to calculate the response of structure under this syntony ponderance by using frequency response function, at last, the response of the whole system can be worked out by superposition.

计算方法是先计算每一爆破谐分量对应于结构的频响函数，然后用频响函数计算出结构在此谐分量下的响应，最后用叠加法得到整个系统的响应。

Investigate how to use Sin wave functions and Cosine functions to change the way that a system of coordinates work.

研究如何使用仙波函数和余弦函数改变一个系统的协调工作。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。