系统函数

The distinguishing feature is a clear physical conception. HIFNC-Ⅱ is an orthonormal basis neural network model. The neurons' output nonlinear function in the hidden layer is an orthogonal system of polynomial, which optimizes the configuration of the neural network.

在智能控制理论方面，详细剖析了一种仿人智能控制器，证明了广义频率函数与非线性系统描述函数的关系，并将其应用于仿人智能控制器的稳定性分析，在理论上证明了HIC的鲁棒特性。

The effect of CIT on sea state and target detection is analyzed and it is pointed out that with the existing system modern high-resolution spectral estimation methods must be used in place of the traditional periodogram.

分析了线性调频雷达的抗噪声及干扰能力，研究了距离域噪声的相关函数与其时域输入噪声的相关函数的关系，得出带宽越大相关距离越小的结论，并指出线性调频波形产生的系统处理增益为其时宽-带宽积。

For polydisperse systems at large Péclet number, we establish the systems of differential equations describing the leading term and the second term of the pairdistribution function via regular perturbation method.

针对高Péclet数情形，通过正则扰动法我们建立了决定对分布函数的微扰展开的主导项和一阶项的联立方程组，并用由此算出的对分布函数的数值解计算了系统的沉降系数。

In part two, the optical spatiotemporal pattern in ring optic cavity is investigated. Using delay feedback with spatial perturbation method, the system shows roll, square, hexagon, homocentric circle,"honeycomb"and"snowflower" pattern with different spatial perturbation functions. Different patterns can be coexist and compete each other with the same perturbation function, which is the new character of this optical system with delay feedback.

第二部分，利用延时反馈的空间微扰方法研究了环形腔中二能级介质的光学时空斑图的控制，在不同的微扰函数作用下，出现了滚筒状、四方形、六角形、蜂窝状、同心圆以及"雪花"状等不同的斑图，并且在相同的微扰函数下出现了不同斑图之间的竞争，这种竞争是我们发现的这一具有空间微扰的延时反馈非线性光学系统光学斑图的新特征。

Because the piecewise linear chaos function is adopted in the encryption system, it is difficult to avoid the local linearity.

且在该加密系统中，由于采用了分段线性函数作为混沌函数，因此难以避免便于攻击的局部线性等特点。

At last ,the piecewise linear interpolation function is applied to deal with complicated constraints conditions for solving the objective function .The simulation results on the three gorges cascaded hydropower system long term optimal dispatch under the flood and dry power price and comparison with other algorithms show that it is greatly efficient to solve engineering optimal problems with complicated constraints.

针对模型中复杂的约束条件，采用分段线性插值函数实现了对目标函数的求解，并通过对丰枯电价下三峡梯级水电系统长期优化调度问题的计算及与其它算法的对比，验证了该算法可运用在解决具有复杂约束条件的工程优化问题中。

A new simplified three-dimensional piecewise continuous autonomous system (a modified model of unified chaotic system) was introduced by replacing a quadratic nonlinear term in a unified chaotic system with a piecewise linear signum function.

通过用分段线性符号函数替换统一混沌系统中部分二次项，得到一个新分段连续的自治系统(称为统一混沌系统修改模型)。

However, the ocular of hydraulic systems working condition is bad. It is difficult to obtain the parameter of hydraulic system. The fault of hydraulic system has pilosity nature, uncertainty and disguise. The fault sign and the fault reason of hydraulic system have complex non-linear mapping relations, therefore it cannot use the simple functional relation to describe. This has brought the difficulty for the classics fault diagnosis technology. The intelligent diagnosis technology base on ANN and ES can solove the above problem well and the diagnosis result is more accurate and reliable.

但是，液压系统工作状况直观性差，参数不易获取，故障具有多发性、不确定性和隐蔽性；液压系统故障征兆与故障原因之间存在复杂的非线性映射关系，不能用简单的函数关系来描述，给经典故障诊断技术带来了困难，而基于神经网络和专家系统的智能诊断技术很好的解决了上述问题，使诊断结果更加准确可靠。

The power exponent, however, is much smaller than that predicted by the linear adiabatic theorem.

这个函数关系与线性系统的绝热参量和绝热保真度的幂律关系非常相似，但该系统的幂指数要远小于线性系统的幂指数。

The model (1 - 1) researches the prey–preyer system with traditional II function:succeed in harvesting one( prey for food only having death rate), get the equilibrium of the system; To the equilibrium point, with the stability theories, analy the equilibrium stability; With keeping on the biggest development into target, get the biggest value of the target function.

模型(1 - 1)研究具有传统II类功能函数的Lotka -Volterra捕食-食饵系统：对捕食者进行单一捕获，得出非负平衡点；对平衡点，用稳定性理论，分析其局部稳定性；以最大可持续发展为目标，应用数分理论，得到目标函数的最大值。

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。