查询词典 algebraic adjunction

Ttingen from 1795 to 1798; for his doctoral thesis he submitted a proof that every algebraic equation has at least one root, or solution.

支持型父母的孩子所感到的快乐程度高于平均水平，但学习或做事时却不是那么高度集中精力。

In this paper, the author proves that the generalized Newton's method for finding me roots of an algebraic equation converges to the root, real or complex , nearest to the starting point. A tabulation method is then devised and used in four illustrative examples.

在本文内，作者首先证明了求代数方程根的推广牛顿法收敛于离出发点最近的一个根，其次设计了一种简单的列表计算法，最后通过四个例题说明用这种方法可以逐步接近代数方程的实根或复根。

But the equivalent computation of algebraic equation must be performed to get state variables corrections.

但是，这些算法中的大多数是在实时潮流计算的基础上，利用其中间结果和线性系统的叠加原理，直接求解出事故后的状态变量，都需要通过网络方程求解整个网络状态变量的增量，计算量较大，难于满足紧急状态下快速安全性评估的实时性要求，国内外一系列因静态潮流问题引起的大停电事故就是例证。

This course introduces the information theory , which employs probability and ergodic theory to study the statistical characteristics of data and communication systems, and the coding theory , which uses mainly algebraic and geometric tools to contrive efficient codes for various situations.

本课程讲授信息论和编码的基本理论。信息论采用概率论和遍历理论的方法研究数据和通信系统的统计特性，编码论主要使用代数和几何等工具为各种应用环境设计有效的编码。

The algorithms of algebraic query operations were given. With existential quantifier, we could reduce the cost of exact projection.

不对存在量词进行消去，可以减少计算精确投影的一些开销，还能表达包含无穷约束元组的线性序约束关系。

In order to solve the problem,We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential manifold. The travel time are expressed as polynomials of the horizontal offset between the two points, and the single-square-root operator in frequency-wavenumber domain are expressed as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddle-point method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量(地面点到地下相点的水平距离)的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

In order to solve the problem, We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddlepoint method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量（地面点到地下相点的水平距离）的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

In the last part of the paper, we construct a family of 2 parameter cubic algebraic curves interpolating two given endpoints and two given tangent lines and two given curvatures at these two endpoints with different initial cases in detail.

引 言三次参数曲线在计算机辅助几何设计与计算机图形学领域一直扮演着十分重要的角色，这主要是由于三次参数曲线是具有奇异性的次数最低的曲线，这些奇异性包括尖点、拐点和闭圈。

While analyzing controllability and observability of system over the field F of the rational functions in multi-parameters, we must use the algebraic criteria.

在分析F上系统的能控能观性时，要应用其代数判据，这就要首先求出其F上状态方程系。

As we know, the resulting algebraic equations are large systems of non-linear equations with the expanded mixed finite element method for the equation.

用扩张混合有限元方法对其进行离散是常用的方法，其离散化所获得的代数方程组是一很大的非线性方程组。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48