查询词典 consistent system of equations

By means of the qualitative theory and method of delay differential equations, the weak conditions for the bound-edness of the system are obtained. By use of differential mean value theorem and computational techniques on delay differential equations, we show that the system is globally asymptotically stable under condition for the boundedness.

用时滞泛函微分方程的定性理论得到了系统有界的较弱的条件，并运用微分中值定理及有关时滞微分方程的计算技巧，我们获得了在系统有界这样弱的条件下就能保证系统全局渐近稳定的结论。

In this paper,the method of interpolation for the numerical solution of tridiagonal system of linear equations is popularized,and another method of interpolation for quasi-tridiagonal system of linear equations is proposed.

文章将求解三对角线性方程组数值解的插值法进行推广，得到一种求解拟三对角方程组的插值算法。

This article investigates the two-point boundary value problem to a coupled system of nonlinear fractional differential equations. By applying growth conditions on the nonlinear terms, we obtain an existence result of solutions. Our analysis relies on the Schauder fixed-point theorem and the reduction of the considered problem to the equivalent coupled system of integral equations.

本文讨论非线性分数阶微分方程耦合系统的两点边值问题，应用Green函数，将其转化为等价的积分方程耦合系统，并设非线性项在无穷远处有增长条件，应用Schauder不动点定理证明解而非限于正解的存在性。

In the first part, considering a linear dynamic system, system's differential algebraic equations are converted into algebraic equations using Simpson's integration rule, which can be solved easily by the steady-state data reconciliation theories for this dynamic data reconciliation problem.

在第一部分，考虑线性动态系统情况下，以辛普森积分法将系统动态方程式转换成代数方程式，接下来可利用稳态数据调和理论解决此动态数据调和的问题。

Afterward, vibration equations of bundle conductors system which consider the effects of spacer dampers are derived(including transcendental function and plural), the vibration frequencies and modes of bundle conductors system are got by solving the transcendental eigenvalues of these equations. Then the amplitude ratio of each spacer dampers to sub-conductors are got, so bundle conductors can be exactly solved with the application of energy balance method as single-conductor.

然后，推导出了考虑阻尼间隔棒阻抗影响的分裂导线体系的振动方程组，通过求解超越特征值得到分裂导线的振动频率和模态，得到各间隔棒、各段子导线的振幅比，从而使分裂导线可以象单导线一样应用能量平衡法进行精细求解。

Here a simple technique for parametrization construction of 17/11 biorthogonal wavelet family is presented: first, the associated synthesis filter is formulated as one trigonometric polynomial represented by two free parameters; then the perfect reconstruction condition of the filter bank is reduced to one system of linear equations; finally the analysis filter is obtained by solving this system of linear equations. Thus, the exact free parameter expressions for the 17/11 biorthogonal wavelet filter banks are derived.

该文给出了一种参数化构造17/11双正交小波组的简便方法：首先把小波合成滤波器表示为用两个自由参数表达的三角多项式，然后把双正交小波的精确重构条件归结为一个线性方程组，最后求解此方程组得到对应的小波分解滤波器，从而得到了17/11双正交小波滤波器的参数表达式。

The polynomial function bases are used to form the approximately matching function. Moreover, the discrete values of grey image is transformed to polinomial function that are exact fit at the considered pixel locations. As a result, The mathematical operations performed such as derivation, integration, and gradient evaluation also give out the polynomial functions, therefore, the system of undetermined coefficient equations is derived to be a system of linear algebraic equations.

我们把立体匹配过程看作泛函的极小化过程，因此选用变分问题近似解法的Ritz法构造数值算法，以多项式函数为基构作匹配函数的近似解，进而又利用多项式过样值点的拟合将离散的灰度图象变换为多项式函数，因此计算中所需的求导，积分，及梯度运算的结果仍然是多项式函数，最终将待定系数方程组化为线性代数方程组。

Based on the compressibility, viscosity resistance and the working house system's deformation etc, flow equations of distribution spool, hydraulic tube and fluid cylinder for 300 MN die forging hydraulic press were established, and dynamics equations of moving beam and upper beam were established based on analysis. The dynamics mechanical-hydraulic coupling model of driving system was established.

考虑流体的可压缩性、粘性阻力及工作框架系统变形等因素，采用解析法建立300 MN模锻水压机动梁驱动系统分配阀口、液压管道、液压缸的流量方程以及动梁和上横梁的动力学方程，得到驱动系统的动态机液耦合模型。

Based on the compressibility, viscosity resistance and the working house system's deformation etc, flow equations of distribution spool, hydraulic tube and fluid cylinder for 300 MN die forging hydraulic press were established, and dynamics equations of moving beam and upper beam were established based on analysis. The dynamics mechanical-hydraulic coupling model of driving system was established.

摘 要：考虑流体的可压缩性、粘性阻力及工作框架系统变形等因素，采用解析法建立300 MN模锻水压机动梁驱动系统分配阀口、液压管道、液压缸的流量方程以及动梁和上横梁的动力学方程，得到驱动系统的动态机液耦合模型。

By use of the system of the equations, large deflection of an elastic cantilever subjected to a concentrated force at its tip is analyzed and some comparison between the system of equations of the geometric central axis and those of the neural axis is made.

结果表明，当载荷较小时，2种理论计算出的弹性大挠度悬臂梁的变形曲线差别很小；而当载荷较大时，2种理论计算出的弹性大挠度悬臂梁的变形曲线存在比较明显的差异。

Who? I never heard of him, Paul said, before asking teammate James Posey if he had heard of him.

赛后，科比说，他一直都是一名非常出色的射手，今天他打得很棒。

When I joined the company, I rotated around the different sections.

我加入这个公司时，轮换过几个不同的部门。