查询词典 quadratic function

The decreasing conditions of an energy function are investigated by the use of convex function. By utilization of the primal convex function, the conditions are analyzed under which its conjugate function minus a quadratic function is also convex.

利用凸函数的定义研究了能量函数下降的条件，根据凸函数的性质分析它的共轭函数减去二次函数之差仍为凸函数的条件。

The fact that solution of wave equation is equivalent to the extreme value of quadratic function solution was verified, and the existence and uniqueness of the quadratic function solution was also proved.

证明了波动方程的解和二次泛函极值解的等价性，以及二次泛函极值解的存在唯一性，为其在液压传动中流体瞬变分析的进一步应用提供了理论依据。

Secondly, a rule of the choice of step-length is presented for a non-quadratic objective function of n variables, according to the rule we prove that the Gradient Method has local n-step quadratic convergence rate for a non-quadratic function under certain conditions.

其次，对于n个变量的非二次目标函数也提出了一个步长选取的准则，并在此准则下证明了当目标函数满足一定的条件时，梯度法具有局部n-步二阶收敛速度。

The cost function of the systems is given in terms of integral quadratic function containing failure controls.

利用Lyapunov方法及线性矩阵不等式方法，得到系统存在可靠保性能控制器的充分条件和控制器的设计方法，并给出了系统的可保性能表达式。

The cost function of the systems is given in terms of integral quadratic function including both index exponent and failure controls.

系统的性能函数是含有指数项和故障输入项的积分二次型函数。

The objective function of the QP problem is a quadratic function which is an approximation of the Lagrangian function of the constrained problem and the constraints of the QP problem are linear approximation of the constraints of the constrained problem.

这些二次规划子问题的目标函数是原约束最优化问题的Lagrange函数的某种二次近似，其约束条件是原约束条件的线性逼近。

This paper describes the application of a quadratic function, namely : the use of quadratic function for Inequality, discuss other monotone function with the most value, the real roots distribution, series of comprehensive, quadratic function embodied in the high school math widely used.

本文主要介绍二次函数的应用，即：利用二次函数解不等式，讨论其他函数的单调性与最值、实根分布，数列中的应用等综合问题，体现了二次函数在高中数学中的广泛应用。

Comparatively, the quadratic function approach was lack of these advantages.The piecewise linear function approach has been implemented in the graphical modeling system for optimal production planning of chemical companies, and the system is used in Baling Branch Company Sinopec.

分段线性函数建模方法已经在化工企业生产计划图形建模优化系统中实现，并在中国石化巴陵分公司得到应用。

This article mainly discussed between the quadratic function and Yuan two inequalities, a Yuan quadratic equation relation and the application.

本文主要谈了二次函数与一元二次不等式、一元二次方程之间的联系及其应用。

Every function whose derivative is linear is a quadratic function.

任意一个导数为线性函数的函数都是二次函数。

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。