查询词典 quadratic equation

Quadratic Equation Solving Function - This function solves a standard quadratic equation .

这个函数求解一个标准的二次方程。

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。

In chapter three, we first give the definition of quadratic automata (3. 6 definition), then study their invertibility. 3. 10 theorem gives a sufficient and necessary conditions for weak inverse quadratic form finite automata, and a way to find the one whose weak inverse is quadratic form finite automata.

第三章首先构造了二次型有限自动机类（3.6定义），研究其上的可逆性理论。3.10定理给出了弱逆二次型有限自动机的充要条件及弱原逆的求法、3.12定理则给出了弱可逆二次型有限自动机的充要条件及弱逆的求法。

Then we found bijections between quadratic form finite automata and input memory linear automata which lead to a way to produce all weakly invertible or weak inverse quadratic form finite automata. In the last section of chapter three, we extend these results to a more general class of nonlinear finite automata (called qusi-quadratic form finite automata).

然后我们建立了建立全体二次型有限自动机与全体输入存储线性有限自动机之间的的一个一一对应L，由于L保持弱逆性（3.20定理），由此我们得到了产生全体可逆二次型有限自动机的方法：要产生一个具有某种可逆性的二次型有限自动机只需产生一个具有同种可逆性的输入存储线性有限自动机，然后作其二次型提升即可。

The second order mathematical models of inverted pendulum system are expatiated in this paper based on the theory of LQOC(Linear Quadratic Optimal Control), LQY(Linear-Quadratic Yield) controller and LQR(Linear-Quadratic Regulator) are designed to make the inverted pendulum system closed loop stable.

针对倒立摆的稳定控制问题，阐述了二阶倒立摆的数学模型，采用线性二次最优控制理论，设计了倒立摆控制系统的线性二次型调节器和线性二次型输出器，使倒立摆系统闭环稳定。

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。

It also states that students "should know how to use quadratic functions to solve extremum problems in everyday life". It seems to me that befe all these, students should be properly taught the technique of completing the square (which underlies the solution of extremum problems of any kind) and the quadratic formula (which would then give *exact* solutions of quadratic equations).

我认为，在学习这些之前，应该适当地教给学生配平方的技巧（它是解决任何最值问题的基础），以及二次求根公式（它能给出二次方程的精确解）。

The solvability of quadratic matrix inequalities of singular H∞ control problems with infinite zeros is studied in this paper. It is proved that the quadratic matrix inequality can be solved directly via the generalized eigenvalue problems. The previous method of solving the quadratic matrix inequality involving complicated decompositions and transformations of the systems is avoided.

摘要研究具有无穷远零点的奇异H∞控制问题的二次矩阵不等式的可解性，证明了通过求解广义特征值问题，可以直接求得二次矩阵不等式的解，从而简化了原需通过复杂的系统分解和变换来求解二次矩阵不等式的方法。

In this dissertation, it is showed that, in the split linear case, and are precisely the expurgated quadratic residue codes and , respectively, from which one can study the quantum quadratic residue codes via the quadratic residue codes.

本文证明了分裂型线性量子二次剩余码的两个相伴码和恰好就是经典删余二次剩余码和，由此我们可以通过经典二次剩余码理论来研究量子二次剩余码。

The finite difference is used to approximate differential operation; the reflectance map equation described by the first order nonlinear differential equation is transformed into an algebraic equation about the unknown surface heights, and then the objective equation is constructed by the reflectance map equation and gradient information of image. Moreover, the Newton iterative algorithm is utilized to obtain the numerical solution and 3D shape of the surface.

采用有限差分近似微分运算，将一阶非线性微分方程所描述的反射图方程转化为关于未知表面高度的代数方程，再由反射图方程和图像梯度信息构造目标方程，进而用Newton迭代算法求出该方程的数值解，得到表面三维形状。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。