得到了这个方程的等价方程。
也考虑了在根与解的问越上代数方程与具有滞后的代数方程的等价性。
The equivalauce of roots and solutions between algebraic equation and algebraic equation with time lags is considered.
当样本量较大时，QIF方法表明工作相关阵的选择等价于无偏估计方程的选择。
When the sample size is great, QIF approach shows that the selection of working correlation is same to the selection of unbiased estimating equation.
采用近似等价的方法，将含有混合密度的恢复方程简化为单一密度求解。
An approximate equivalence method is used to simplify the recovery equation with mixture densities into single density.
NURBS曲线方程具有三种等价形式：有理分式表示、有理基函数表示和齐次坐标表示。
NURBS curve equation has three kinds of the equivalence form, i. e. rational fraction, rational base function and homogeneous coordinate.
利用奇点理论给出了空穴分岔方程在分岔点的等价正规形。
Equivalent normal forms of the cavitated bifurcation equation at the bifurcation point were presented by using singularity theory.
使用等价控制方法构成双线性变结构控制系统的滑动模态方程。
Equations of sliding mode for bilinear variable structure control system are structured by employing method of equivalent control.
本文通过变分法欧拉方程推导出极小曲面的几个等价命题。
This paper investigates several equiyalent propositions of minimal curve surface by means of the euler equation of calculus of variations .
为此首先基于矩阵分解构造出新的参数化方程，选取必然等价自适应控制律。
First, a new type of parameterization equation is constructed based on matrix factorization and the certainty-equivalence adaptive control law is chosen.
文章首次把基于测试的非对称模型———BGM模型等价地转换为一个方程。
In this paper we first turn BGM model, which asymmetric model under the testing, into an equivalent equation.
通过将问题化为非线性算子方程，推导出算子的形式导数，给出了线性化问题解的等价表达。
By reducing the MREIT problem to a nonlinear operator equation, the formal derivative of the operator and the formula of solution for linearization problem are given.
通过将其化为等价的积分方程，我们建立了该模型单稳情形下的波前解的存在性与唯一性。
By transforming the model to corresponding integral equation, the existence and uniqueness of traveling wave fronts are proved.
从负常曲率曲面导出了两个非线性演化方程，并给出了这些方程的解之间的等价变换。
Two non—linear evolution equations are derived from the surfaces of negative constant Curvature, and equivalent transformations among solutions of these equations are given.
在第二章中，引入了积分抽象时滞方程的概念，并且得到积分抽象时滞方程的适定性与相应的积分柯西问题适定性等价。
In the second chapter, the concept of an integrated abstract delay equation is introduced, and the equivalence of the well - posedness of an integrated delay eq.
文章研究的是解析函数的等价命题和解析函数及其柯西—黎曼方程在解决物理学中平面场的无源无旋问题中的应用。
This paper discusses several equivalent propositions in analytic function and their application to the nonsource and irrotation problems of plane field in physics.
基于等价类的划分、线性方程组的求解和标准基之对偶基的计算，提出了域元素分量代数表达式的三种求法。
Based on the partition of equivalent classes, the resolving of a linear system of equations and the calculation of the dual basis of the standard basis, three methodologies are presented.
从稳定电流场基本方程出发，通过定义线性微分算子，推导出与之等价的泛函方程。
According to the fundamental equation of steady current field, the corresponding functional equation is obtained by use of the linear differential operator.
证明解稀疏多项式方程组特征值方法的第二等价性定理，并给出方程组的解与特征值的关系。
In this paper, the second equivalence theorem of eigenvalue method for solving sparse polynomial equations is proved.
提出了一种求解微分代数混合方程组的统一算法，证明了统一算法所求出的懈与原方程组的解具有等价性。
This article present an unification arithmetic for a kind of mixture equations made up of some differential and algebra equations.
作者证明了它与另一类演化方程等价，并证明了这两个等价类的单孤立子一一对应。
The author proves that it is equivalent to another class of evolution equations and the single solitons of the equivalent class are one to one correspondent.
本文以两个自变量的拟线性双曲型方程的古尔沙问题为例，应用反函数和积分不等式证明了等价积分方程组解的存在唯一性，同时给出了解的存在区域和已知参量的依赖关系。
In this paper, we show the domain of the existence of the solution on Goursat problem for quasi—linear hyperbolic equation and obtain the Theorem of the existence and uniqueness in above domain.
利用方程组的解来定义框图格式的三种等价性，即全等价、强等价以及弱等价。
We consider three kinds of equivalence, i. e. complete equivalence, strong equivalence, and weak equivalence.
本文提出一种新的方法，在频率域中制作波动理论的合成记录，给出了与克希霍夫绕射波方程等价的频率域中的绕射波方程。
This paper presented a new method of generating synthetic, seismograms of wave theory in frequency domain and gave the diffraction equation in frequency domain, which is equivalent to Kirchhoff one.
针对非线性互补问题，提出了与其等价的非光滑方程的一个下降算法，并在一定条件下证明了该算法的全局收敛性。
This paper presents a new descend algorithm for nonlinear complementarity problems. The global convergence of the algorithm is proved under milder conditions.
在对命题逻辑代数化表示的基础上，通过解多项式方程组，对命题公式进行等价转换、演绎推理。
This research paper of proposition logic algebra in the said, on the basis of the solution of equations by polynomial, propositional formula for equivalent conversion and deductive reasoning.
建立了与OPF 问题的KKT系统等价的带界约束的半光滑方程系统。
The KKT system of the OPF is reformulated equivalently to a system of nonsmooth bounded constrained equations.
在系数的某种等价关系条件下，股价的两类数学表达式，一类是基于明确型描述的由类似固体力学方法导出的最简微分方程（S.D.E。）
Two kinds of mathematical expressions of stock price, one of which based on certain description is the solution of the simplest differential equation(S. D. E. )
建立并分析了投梭侧板的弹性体模型和控制系统的状态方程，提出了本系统能控性的系统等价理论。
An equivalent theorem for the controllability of the system is deduced and the optimal control point is determined.
建立并分析了投梭侧板的弹性体模型和控制系统的状态方程，提出了本系统能控性的系统等价理论。
An equivalent theorem for the controllability of the system is deduced and the optimal control point is determined.
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