quadratic form
英 [kwɒˈdrætɪk fɔːm]
美 [kwɑːˈdrætɪk fɔːrm]
n. 二（齐）次式；二次型
双语例句
- The Newton-Euler method is used to set up a mathematical model for the inverted pendulum, and then a pendulum controller is designed by using an optimal control method in a linear quadratic form.
用牛顿-欧拉方法建立了倒立摆的数学模型，在此基础上采用线性二次型最优控制方法设计了倒立摆的控制器。 - 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。 - 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。 - Based on the quadratic form indicators of the single neuron learning algorithm for adaptive control algorithm, can refer to!
基于二次型指标的学习算法的单神经自适应控制算法，可以参考！ - 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。 - Metric normal form of quadratic form ( in golf) a score of two strokes under par on a golf hole.
二次形式的度量标准形式（高尔夫）比标准击数少击两次。 - 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。 - Solving energy eigenvalue of n module coupling harmonic oscillators by virtue of quadratic form
利用二次型求解n模耦合谐振子能量本征值精确解 - 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。 - Lagrange multiplier method provides necessary conditions for the constrained extreme value of the function of many variables, so this paper, based on the theory of positive definite quadratic form, proves the sufficient condition for the constrained extreme value of the function of many variables.
拉格朗日乘数法给出了多元函数条件极值的必要条件，本文利用正定二次型理论证明多元函数条件极值的一个充分条件。 - Analysis on the Diagonalization of Quadratic form with Matrix
利用矩阵分析二次型对角化 - The theory of quadratic form is of very extensive application.
二次型理论有着十分广泛的应用。 - Firstly, some new conceptions such as component function matrix and generalized quadratic form function are presented.
提出了分量函数矩阵和广义二次型函数等新的概念，讨论了广义二次型函数定号性的判定方法。 - A kind of neurons composed of a quadratic form of threshold elements and its learning algorithm are proposed, and the convergence of the algorithm is strictly proved.
还提出了一种由二次型阈值元件组成的神经元网络，给出了它的学习算法，并严格证明了它的收敛性。 - Two methods of transforming quadratic form into standard form are introduced in this article+& method of congruent transformation and method of orthogonal transformation.
给出了二次型化标准形的两种方法&合同变换法和正交变换法。 - 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。 - If A is a symmetric positive definite matrix, then the quadratic form x~ TAx can be written as a sum of squares. Equivalently, A is a sum of rank one matrices VV~ T.
若A是对称正定矩阵，则二次型x~TAx能写成平方项的和，即A是秩为1的矩阵VV~T的和。 - At last the consistently symmetrical and positive definite properties between the energy matrices and the elastic matrices are clarified by using the theory of positive definite quadratic form of matrices.
最后，运用矩阵的正定二次型理论阐述了能量矩阵与弹性矩阵之间一致的对称性和正定性。 - A new inequality of quadratic form of the three variables referring to two arbitrary points of the interior of a triangle is established, then application of this result is discussed, and finally three conjectures to be solved are put forward.
建立了一个新的涉及三角形内部任意两点的三元二次型不等式，讨论了这一结果的应用，提出了三个尚待解决的猜想不等式。 - 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.
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。 - 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。 - 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。 - 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 total input power flow is expressed in an equation of Hermitian quadratic form as the objective function.
将构造结构总的输入功率流为二次型函数作为控制目标函数，利用哈密尔顿二次型最小值理论给出最优控制力前馈控制表达式。 - By analyzing the LFM signal in colored noise, a cross-spectral ESPRIT method based on quadratic form transformation was proposed.
对色噪声背景下LFM信号（线性调频信号）进行了分析，提出了一种基于二次型变换的互谱ESPRIT方法。 - Using the theory of quadratic form the necessary and sufficient condition for complex quadratic polynomials in several elements to be decomposed into two one order factors and the decomposable method are obtained.
利用复数域上二次型的理论，给出了复数域上多元二次多项式可分解为两个一次因式的充要条件，并给出了分解的方法。 - Imitating-Coordinated Transformation and Generalized Quadratic Form Method
仿坐标变换与广义二次型方法 - 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。 - Based on the theory of optimal control, finish-time infinite quadratic form optimal control model was constructed.
基于最优化控制理论，建立使用终了时间无限的二次型最优控制模型。 - For instance, we can test whether the conditional heteroscedasticity exists or the conditional variance has the quadratic form.
例如，检验条件异方差是否存在或检验条件方差函数是否是二次函数等。