实域中两个真理之间的最短路程是通过复域。
Jacques Hadamard the shortest path between two truths in the real domain passes through the complex domain.
通过运用吴消元法求解电力系统潮流方程，求得了全部实域精确解，同时避免了因以数值迭代方法求解出现雅可比矩阵奇异的现象。
By using Wu s method, all the precise solutions of power flow equations are worked out without encountering the numerical difficulty of ill-condition.
证明了任一环有代数封闭的扩张环，且实封闭域上的四元数体是代数封闭的，给出了代数封闭环的若干性质。
The two theorems are proved that any ring can be extended into an algebraically closed ring and that the quaternionic skew field over a real closed field is algebraically closed.
在计算实践中，处理大型多项式时，由于复杂性原因，实闭域一阶理论判定方法实际上无效。
The conventional methods do not work in practice when dealing with large polynomials because of their high complexity.
讨论实四元数体上方阵的右特征值，并将域上矩阵的一些相应结果推广到实四元数体上。
The right characteristic values of matrices on quaternion division algebra are discussed, and some corresponding results for complex matrices are generalized and improved.
本文首先给出了确定分圆域的极大实子域的幂元整基的两种方法；
In this paper, I first give two methods with which we can determine all the power integral bases in maximal real subfields of cyclotomic fields.
本文讨论了复(实)数域上的二维李三系的分类及其对应的导子代数的性质。
In this paper, We study the classification and the properties of their derivation algebras of 2-dimensional Lie triple systems over the complex (real) number field.
然后着重在代数范围内进行讨论，得到下列的结果：每个有限次实代数数域都不是归纳域；
Then he considers the case of algebraic numbers and obtains some results like the following: Every real algebraic number field of finite degree is non-inductive;
在实验中，将该算法分别应用到实值离散小波变换域和双树复数小波变换域，并和隐马尔科夫模型的去噪方法做了比较分析。
Secondly, using locally variance estimation, a locally adaptive image-denoising algorithm was presented. Also this algorithm could be applied to the complex wavelet domain.
渡轮过去在实龙岗河域被用作运输工具。
渡轮过去在实龙岗河域被用作运输工具。
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