查询词典 quadratic function

Optimization; parametric quadratic convex programming; set-valued map; directional derivative; linear stability; solution-set map; parametric linear programming; error bound; subdifferential map; lower locally directionally Lipschitzian; upper locally di-rectionally Lipschitzian; locally directionally Lipschitzian; convex function; quasidiferential; kernelled quasidiferential; quasi-kernel; star-kernel; star-diferential; Penot diferential; subderivative; superderivative; epiderivative; set-valued optimization; set-valued analysis; subdifferential; optimization condition;ε-dual; scalization; generalized subconvexlike-cone;ε-Lagrange multiplier

基础科学，数学，运筹学最优化；集值映射；方向导数；线性稳定；最优解集映射；参数线性规划；参数凸二次规划；误差界；次微分映射；下局部方向Lipschitzian；上局部方向Lipschitzian；局部方向Lipschitzian；凸函数；拟微分；核拟微分；拟核；星核；星微分； Penot-微分；上导数；下导数； Epi-导数；集值优化；集值分析；集值映射的次微分；最优性条件；广义锥次类凸；ε-对偶；数乘；ε-Lagrange乘子

In this paper, the inertial theorem of real symmetric matrix has been proved by three methods in three aspects: the relationship between real symmetric matrix and real quadratic form, the relationship between real symmetric matrix and symmetric bilinear function of real linear space.

从实对称矩阵与实二次型的联系、实对称矩阵与实线性空间的对称双线性函数的联系以及将实对称矩阵作为研究主体这三个角度，介绍实对称矩阵的惯性定理的三种证明，以期加深对实对称矩阵的惯性定理的理解。

In addition, by utilizing Jacobi two square numbers theorem and Lagrange four square numbers theorem and some theta function identities, we also prove the known results of number theory: two triangular number theorem, four triangular number theorem, and the number of representations of a positive integer by various quadratic forms in terms of divisor functions

包括Jacobi二平方数定理，Lagrange四平方数定理等，然后利用这些结果结合几个theta函数恒等式，我们获得了把任意一个正整数表示成两个三角数或四个三角数的和以及其他的二次形式的方法数，这些方法数都是用因子函数来表示的。

The terminal sliding mode controller is designed by using unit vector style; the switching function of the terminal sliding mode is designed by the quadratic optimal control theory.

采用单位向量控制形式的最终滑动模态控制器，并采用二次型最优控制理论设计最终滑动模态的切换函数。

Based on the extended Huygens-Fresnel principle and the quadratic approximation of phase structure function, we have derived the analyticl expression of the spatial degree of coherence for partially coherent flattened beams propagating through the slant turbulent atmosphere with the help of tensor integral, then analyzed the effects of different zenith angle, propagation distance, coherence of source and outer scale of turbulence on the spatial degree of coherence on the receiver.

基于广义惠更斯-菲涅耳原理和相位结构函数的平方近似，运用张量积分的方法导出了部分相干平顶光束通过斜程湍流大气传输后接收面光束空间相干度的解析表达式，分析了不同天顶角、传输距离、光源相干性以及湍流外尺度对接收面光束空间相干度的影响。

To overcome the quadratic variation terms of stochastic control and the uncontrollability in chained system, a novel control design procedure is constructively proposed, which involves the introduction of a time-varying technique and the application of quartic Lyapunov function.

为了克服随机控制过程中出现的平方漂移项以及链式

The development of part copy and scale function in CAD drawing is based on Visual Lisp language quadratic development, which mainly solve the problem that need precise showed and labeled in CAD engineering design drawing.

CAD图形的局部拷贝缩放功能的开发是基于Visual Lisp语言基础上的二次开发，主要地解决工程设计绘图中需要精确显示和标注的局部图形。

Finally, based on the studies above, the characteristics of pantograph/catenary are analyzed and the active pantograph is modeled. By using the linear quadratic optimal control law, the design objective is to minimize the performance index, which is a function of the state variables representing the pantographs dynamic characteristic and the active control force. The control system is designed considering the complete state feedback.

最后，在此基础上，分析了受电弓／接触网系统的工作特点，建立了受电弓主动控制系统的数学模型，利用线性二次型最优控制策略，以给定性能指标为最小值为设计目标，性能指标为表征受电弓动力学特性的状态变量和主动控制力的函数，考虑了完全状态反馈的情况，进行了控制系统的设计。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。