最后给出改善病态方程组的解的实例。
Then, as an example, the solution to the ill conditioned system of equations is also presented.
本文研究了一类算子方程组的解及边界解的存在性。
In this paper, we study existence of the solutions and boundary solutions for a class of operator equations.
在理想气体假设下给出了扰动流运动微分方程组的解析解；
On the assumption that the media is an ideal fluid, the analytic solution for differential equations of disturbing flow is obtained.
在一些假定条件下，证明了最优控制为一非线性方程组的解。
Under certain conditions, it is proved that optimal control law is the solution of nonlinear equations.
此外，一般来说，非线性方程组的解不能使用自由基来表示。
Moreover, in general, the solution of a nonlinear set of equations can't be expressed using radicals.
线性流行的概念对理解线性空间以及线性方程组的解的结构具有重要意义。
The concept of linear manifold has an important meaning for understanding the linear space and system of linear.
通过分析发现，预应力设计的结果实际上就是一个齐次线性方程组的解空间。
The result of the prestress design is actually the solution space of a homogeneous linear equation set.
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.
文摘：讨论了带非线性边界条件的抛物型方程组的解的整体存在性及爆破问题。
Abstract: the global existence and blow-up problem for the parabolic equations with nonlinear boundary conditions were studied.
本文讨论了一类非单调的具有分段压缩性质的含参数随机算子方程组的解的存在性和唯一性。
In this paper, the existence and uniqueness theorems of solution of a class Non-monotonic parametric stochastic operator equation with piecewise contraction property is discussed.
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.
文中给出放大器的速率方程组的解，并在此基础上导出理想放大器的前三阶导数的解析表达式。
By finding out the solutions to the rate equations of the amplifiers, the analytical expressions of the derivatives, up to the third order, of Pout with respect to Pin have been deduced.
本文就线性代数中几个重要知识点：线性变换、线性方程组的解、矩阵对角化等的逆向问题进行研究。
The inverse problems are researched on linear transformation, system of linear equations, diagonalizing of matrix, and so on.
本文在控制灵敏度矩阵的基础上，导出增量形控制方程组，然后利用其伪逆矩阵迅速求出方程组的解。
On the basis of the sensitive matrix of control, the control equation in incremental form is derived. The solution of this equation is quickly found by means of the pseudo-inverse matrix technique.
从简单海气相互作用方程组出发，引进新的海洋对大气加热函数，得到简单海气相互作用方程组的解析解。
From a group of simple air-sea coupled equations, introducing a new heating function of oceans to the air, we get an analytical solution of the air-sea coupled equations.
本文定义了多项式的B-网结式，讨论了B-网结式的性质和B-网结式与非线性方程组的解之间的关系。
The B-net resultant of polynomials is defined, and its properties and the relations between it and the solutions of a system of nonlinear equations are discussed.
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.
利用一元二次方程的求根公式构造二元二次方程组的迭代算法，通过图解二元二次方程组的解来说明迭代算法在实践中的应用。
In this paper, the author gives the formula of roots of a quadric equation over a field of 2 k elements and presents the problem.
将行列式的值、矩阵的秩、齐次线性方程组的解等知识运用于向量组线性相关性判定，归纳出六种判定向量组线性相关性的方法。
The judging methods of the vectors group related dependence from determinant values, rank of matrix, solution of system of linear equations etc were studied.
本文利用随机收缩，证明具有随机定义域的非线性随机算子方程组的解的存在与唯一性定理，给出非线性随机积分和微分方程组的某些应用，改进和推广了某些结果。
In this paper, several existence and uniqueness theorems of solutions are proved for the system of nonlinear random operator equations with stochastic domain by using general random contraction.
，这是我的计划：线代的基本问题是用来解线性方程组（systemof linear equations）。
, this is my plan, the fundamental problem of linear algebra, which is to solve a system of linear equations.
所有的事情都归结于解方程组5c"+d'=54,c"d'=144,即表示c''是x(54-5x)=144或 5x2-54x+144=0的解。
The whole thing thus boils down to solving 5c"+d'=54 and c"d'=144, which means that c" is solution of x(54-5x)=144 or 5x2-54x+144=0.
该系统所采用的算法由于作了某些必要的近似处理，避免了直接解非线性方程组同时又满足了精度要求。
By making some necessary approximations, the algorithm used for this system is able to avoid solving directly system of nonlinear equations without losing the expected accuracy.
本文提出了一种基于蚁群算法求方程组数值解的新方法。
A new method for resolving equation groups is proposed, which is based on Ant Colony System.
本文给出线性代数方程组反问题的对称矩阵解，及其通解表达式。
To the inverse problem of the system of linear algebraic equations, tiauthor gives a symmetric matrix solution and the expression of its general solution.
运用数学中的映射方法分析论证，获得了(2 +1)维长波方程组的精确解。
By using a mapping method, we obtain exact solutions of the (2 + 1) dimensional long wave equations.
采用最小二乘法求解矛盾方程组，可获得误差最小的唯一解。
A technique for sieving the overdetermined system is gived by utilizing least-square method and the unique solution with minimum-error is obtained.
分别使用不动点定理，序方法讨论了一类非单调算子方程组解的存在及其迭代。
By using the theory of fixed point and cone theory, we obtain some new results about the system of a monotone operator equations.
在线性方程组有解判别定理的基础上，给出了一个判定非齐次线性方程组存在全非零解的方法。
On the basis of the solution identification theorem in linear equations, a method is presented to ascertain whether there exists all-nonzero solutions to an inhomogeneous linear equation.
通过对离散傅立叶逆变换的分析，我们得到一个线性方程组，它的解可以作为序列的谱。
Analyzing inverse DFT, we obtained a system of linear equations, whose solution can be taken as the spectrum of the data series.
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