A new method on the decision of positive definite quadratic form using the real square matrices 利用实方阵判定二次型正定性的新方法
Given a response surface equation in quadratic form , the six sigma black belt will be able to compute the stationary point 给出一个二次方程式形式的响应曲面公式， 6西格玛黑带应能计算出驻点。
With the theory of quadratic form , this essay gives out another way to solve the extremum problems of multi - variable functions 摘要文章以二次型理论为依据，提出了解决多元函数极值问题的另一种方法。
Two methods of designing the switching function are presented : the pole setting and the quadratic form optimization . tendency ration strategy is presented to eliminate chattering 在设计切换函数时，作者采用极点配置法和二次型指标最优法两种方法来设计。
The article analyzes decomposition of the real quadratic form and hermite quadratic form , and ascertain the condition which the real quadratic form and hermite quadratic form can separate the product of two linear polynomials 摘要分析了实二次齐式和厄米特齐式的分解因式，并确定了实二次齐式和厄米特齐式能分解为两个一次因式乘积的条件。
This course offers a rigorous treatment of linear algebra , including vector spaces , systems of linear equations , bases , linear independence , matrices , determinants , eigenvalues , inner products , quadratic forms , and canonical forms of matrices 此课程提供了对线性代数严谨的处理，包括向量空间、线性方程组、基底、线性独立、矩阵、行列式、特徵值、内积、二次式、和矩阵的标准型式。
There are two features used in first method : area distribution of 3d model surface and latitude orientation average radius distribution . quadratic form distance function has been applied to calculate the similarity of two feature vectors and two passes are needed to search database in first method 第一种检索技术使用了两个特征：面积分布和纬度方向平均半径分布，在相似度计算使用了二次方程式距离计算公式，数据库检索采用了分步检索方法。
This paper applies generalized multipler method to translate convex quadratic programs with equal constraints and non - negative constraints into simple convex quadratic programs with non - negative constraints . the new algorithm is gotten by solving the simple quadratic program . it avoids the computation of inverse matrix and exploits sparsity structure in the matrix of the quadratic form . the results of numerical experiments show the effectiveness of the algorithm on large scale problems 根据广义乘子法的思想，将具有等式约束和非负约束的凸二次规划问题转化为只有非负约束的简单凸二次规划，通过解简单凸二次规划来得到解等式约束和非负约束的凸二次规划新算法，新算法不用求逆矩阵，这样可充分保持矩阵的稀疏性，用来解大规模稀疏问题.数值结果表明：在微机486 / 33上就能解较大规模的凸二次规划
Using the indices of trajectory follow error and steering busyness in evaluation of the steering stability , a quadratic form performance index function for the neuron learning was established and the tuning of the connection weight values of the single neuron controller was realized using the algorithm of gradient descent 利用操纵稳定性评价中的轨迹跟随误差和方向盘忙碌程度的评价指标，建立了神经元学习的二次型性能指标函数，并采用梯度下降算法实现了单神经元控制器的滚接权值的调整。
