查询词典 compatible system of algebraic equations

In this paper, we firstly introduce some basic properties of wavelet, which are involved in chapter one .secondly, we introduce orthogonal wavelet bases, scale function and scale equations etc.,which are involver in chapter two .

本文首先介绍了傅里叶变换和小波变换的由来以及一些基本性质，这主要体现在第一章，随后介绍了正交小波基以及尺度函数，尺度方程等概念，这主要体现在第二章。

With the application of the sampling theorem and the Fast Fourier Transform, two groups of numerical forms of the algorithm equations suitable for two kinds of FFT subroutines are derived. Finally, the measurement algorithm is fully tested by the measurement and calculation carrier out for an MMW irradiator.

在解析算法的基础上，应用采样定理和快速傅里叶变换，推导了分别适用于两种快速傅里叶变换子程序的数值算法公式，通过对一种毫米波辐射器的实际测量和计算对测量算法进行了整体检验。

In accordance with the situation that the damping was the non-classical damping,the structure was asymmetric,and random wind spectrum was irrational fraction wind spectrum,the equations obtained were decoupled with the complex mode theory.

建立运动方程，用第一振型将主体结构展开，针对非经典阻尼和非对称结构以及脉动风谱为非有理分式风谱的情况，运用复模态理论将所得方程进行解耦，获得了以第一振型表示的结构随机风振响应的解析解。

For the group representation, this paper improves the known method of determining the irreducibility. Instead of solving equations and checking every combination of the roots, we calculate the value of a polynomial.

对于自由群的表示，本文首先将不可约性的判别方法，由已有文献中解方程，并对方程的根作组合的方法，改进为直接计算某个多项式的值的方法，并进一步给出区分绝对不可约性和非绝对不可约性的判别准则。

The asymptotic synchronization in a lattice of x-coupled nonidentical Lorenz equations is considered, the external coupling matrix is an n×n irreducible symmetric real matrix having zero row sums and nonpositive off-diagonal elements.

考虑外部耦合格式为n×n阶实对称不可约，行和为零且对角线以外的元素非正的矩阵，内部耦合格式为仅有x-分量参与耦合的非恒同Lorenz格点系统的渐近同步。

The main contents include studying purpose, researching object, the introduction about this course; governing equations, boundary conditions for an inviscid irrotational flow, linearized approximation for small-amplitude waves; illuminations of wave factors and relevant physical variables; the propagating waves in deep and shallow water; discussion of physical meanings of group velocity.

包括学习目的、研究对象、主要内容简介；控制方程，描述无粘、无旋运动的边界条件，对边界条件的线性化近似；波要素和有关物理量的介绍；深水和浅水条件下的行波问题；讨论群速度的物理意义。

The theory of differential equations has a long history, beginning with Isaac Newton.

微分方程理论有着悠久的历史，开始于艾萨克。

For H-type groups, explicit equations of shortest sub-Riemannian geodesies and a full characterization of the sub-Riemannian isometry groups are given in this dissertation.

对广义的Heisenberg群，本论文给出了最短次黎曼测地线的明确表达方程，并完全刻画了次黎曼等距群。

Based upon the general equations of a trans-versely isotropic foundation, the stress functions and the theory of Fourier transforms , the basie displacement so-lutions for a transversely isotropic body under horizontal concentrated loads are obtained.

根据横观各向同性体的基本方程，运用应力函数、傅氏变换和傅氏逆变换理论，得出了横观各向同性地基在水平集中荷载作用下的基本位移解，然后利用积分的方法分别得出了横观各向同性地基在条形面积上水平均布荷载、水平三角形分布荷载及水平梯形分布荷载的位移计算公式，并利用实测的一组弹性参数，将横观各向同性地基中的相对位移与现有的计算理论给出的各向同性地基中的相对位移通过图形作了分析比较，得出了一些有益的结论，以供岩土工程设计人员参考。

The forward finite difference and Newton iterance are used in the light of box model and other heavy gas dispersion models, such as IIT Heavy Gas Models and virtual point source model, to solve the differential equations of controlling heavy gas cl.

文中从控制重气云团扩散行为的微分方程入手，根据箱模型及其他一些重气扩散模型，如IITHeavyGasModels模型和虚点源模型，采用向前插分和牛顿迭代的方法，针对ThorneyIslandTrialNo 。0 0 8试验进行了数值模拟，得到了重气云团外形尺寸和空气卷吸量随时间的变化关系以及下风向固定点处地面最大浓度值。

Methods Clinical data of 3 cases of bile duct injury during laparoscopic cholecystectomy were analyzed retrospectively.

回顾总结3例LC术中胆管损伤的临床资料，分析3例胆管损伤的原因及对策。

These techniques are applied to the gobang.

本文将这些技术用于五子棋中。