Using these formulae, we can, directly, optimize the prototype filter coefficients in a quadratic form.
利用这些公式，我们可以以二次型形式直接优化原型滤波器系数。
The author introduce the method of applying positive semi-definite quadratic form to prove inequality by giving several examples.
通过给出几个实例，介绍了利用二次型的半正定性证明不等式的方法。
The theory of quadratic form is of very extensive application.
二次型理论有着十分广泛的应用。
Method of completing square is often used when transforming a quadratic form into a normal one, whose process is equivalent to making the relevant matrix contract diagonal.
二次型化标准形常采用配方法，而二次型化标准形等价于它的矩阵合同对角化，文中利用初等矩阵和初等变换之间的关系。
The formulas to calculate the variance of a quadratic form with the matrix composed of submatrices are given in this paper.
给出了由子矩阵组成的分块矩阵时，随机变量二次型的方差、协方差的计算公式。
The admissibility of non-homogeneous quadratic form estimate of variance on the growth curve model was studied under quadratic loss function.
在二次损失函数下，研究了增长曲线模型误差方差的非齐次二次型估计的可容许性问题。
Then, by introducing a corresponding Krein space stochastic system and applying projection and innovation analysis, the minimum of indefinite quadratic form and its existence condition are derived.
引入相应的格林空间随机系统，应用格林空间投影理论和新息分析方法，得到了不定二次型的最小值及其存在条件。
In order to resolve the shortage, the thesis chooses the linear quadratic form optimal controller design scheme by applying linear state feedback control of the modern optimal control theory.
针对这种不足，选择现代控制理论中的线性状态反馈控制方法，采用了线性二次型最优控制器设计方案。
Through the quadratic form theory, another solution to the extremum problem of function of several variables is given.
利用二次型的理论，给出解决多元函数极值问题的另一种方法。
The paper teus a direct way to select nonsingular linear transformation by changing two special quadratic forms without square terms to the standard form.
本文给出了化不含平方项的两类特殊二次型为标准形的一种直接选取满秩线性变换法。
By means of congruent transformation in matrix, the method of transforming real quadratic form into standard form and the method of normal orthogonal basis are given in this paper.
借助矩阵的合同变换法，给出了化实二次型为标准形的方法、求标准正交基的方法，并给出了正定二次型判定定理的新证明。
In this paper, we use the theory of symmetric bilinear function to solve problems of quadratic form, and finally give a proof of the inertia theorem.
通过建立二次型与对称双线性函数之间的对应关系，在双线性函数的概念下讨论二次型化标准型的问题，最后给出惯性定理的一个证明。
By introducing theories of matrix, this paper presents a calculation method for the rank of the quadratic form in quadratic sum resolution.
引用矩阵的有关理论，给出了平方和分解式中二次型秩数的计算方法。
On the basis of this concept, precise tracking can be realized after the correction design of optimal control of linear quadratic form is made.
以它为基础，对线性二次型最优控制问题进行修正设计后，可实现精密跟踪。
A model reference is designed with optimal index of quadratic form.
参考模型用二次型性能指标最优控制。
This paper USES the theory of quadratic form to distinguish this problem, not only that, it enlarge to calculate extreme value for function of many variable.
本文使用二次型的理论进行判断，并将问题扩大为求任意多元函数的极值。
The paper gives a number of methods for differentiating half positive definite quadratic form and some relevant properties in respect to half positive definite corresponding coefficient matrix.
本文给出的半正定二次型的若干判别方法及半正定对应系数矩阵的一些相关性质。
As a result, the quadratic form will contain zero - polynomial so that some contradictions in theory on quadratic form caused by excluding zero-polynomial from quadratic form is eliminated.
这样二次型就包含了零多项式，从而解决了把零多项式排除在二次型外带来的二次型理论中的某些矛盾现象。
This paper deals with the linear systems with parametric faults. A control strategy based on the linear quadratic form is proposed.
研究了含有参数故障的线性系统，提出了一种基于线性二次型的控制策略。
The paper proposes a new concept; input pattern error. On the basis of this concept, precise tracking can be realized after the correction design of optimal control of linear quadratic form is made.
提出了输入方式误差的新概念。以它为基础，对线性二次型最优控制问题进行修正设计后，可实现精密跟踪。
The paper proposes a new concept; input pattern error. On the basis of this concept, precise tracking can be realized after the correction design of optimal control of linear quadratic form is made.
提出了输入方式误差的新概念。以它为基础，对线性二次型最优控制问题进行修正设计后，可实现精密跟踪。
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