给...上轭

Thence in full panoply and equipment we came towards noon to the sacred waters of the Alpheus, and there we offered victims to almighty Jove, with a bull to Alpheus, another to Neptune, and a herd-heifer to Minerva.

在那里，我们用肥美的牲品祀祭力大无比的宙斯，给阿尔菲俄斯和波塞冬各祭了一头公牛；此外，还牵过一头从未上过轭架的母牛，献给灰眼睛的雅典娜。

In this paper, we describe the history of Mizar system and the method to use theMizar system. Then we give the definition of quaternion numbers, module, algebrastructre etc, and then we prove its properties.

本文首先介绍了Miza(来源：ABC论文61网www.abclunwen.com)r系统的计算机操作原理和使用方法，给出了在Mizar语言系统下四元数、四元数的运算、共轭、内积、模等代数结构理论的证明，所做结论都通过了Mizar系统的验证，发表在波兰的《Formalized Mathematics》杂志上，并被收录到MML数据库中。

The main results are:(1) the L1 boundedness of the Cesaro means operator of the harmonic expansions on the unit sphere with reflection-invariant measures is proved, and the characterization of the convergence index is given; for the points not in the planes with singularities, the pointwise convergence is also proved; these results are the generalizations of those both for the classical spherical harmonic expansions and for the Jacobi expansions;(2) Using the differential-reflection operators of Dunkl type, the uncertainty principle of a class of Sturm-Liouville operators is established, and as consequences, the uncertainty principles of some well-known classical orthogonal expansions such as Jacobi, Hermite and Laguerre expansions are obtained;(3) by introducing the Cauchy-Riemann equations in terms of the differential-reflection operators of two variables, the harmonic analysis of the extended Jacobi expansions is studied; the results include the Lp boundedness and the weak-L1 boundedness of the conjugate extended Jacobi expansions; specially, for some indexes p smaller than 1, the basic theory of the related Hardy spaces is established.

主要成果有：（1）证明了带有反射不变测度的球面调和展开蔡沙罗平均算子的L1有界性，给出了收敛指标的特征刻划，对不在奇性平面上的点，还证明了点态收敛性，这些成果同时推广了经典球面调和展开和雅可比展开的结果；（2）利用Dunkl型的微分-反射算子建立了一类斯特姆-刘威尔算子的测不准原理，并由此得到一些著名的经典正交展开如雅克比展开、赫米特展开和拉盖尔展开的测不准原理；（3）利用由两个变量的微分-反射算子定义的柯西-黎曼方程组来研究扩展雅克比展开的调和分析，证明了共轭扩展雅克比展开的Lp有界性和弱L1有界性，特别是对小于1的一些指标p，建立了相应的哈代空间的基本理论。

A sufficient condition ensuring the Gauss-Newton method quadratically convergent exactly is given.

给出了保证Gauss-Newton法恰2阶收敛的条件，在此基础上构造了利用条件预优共轭梯度法求解Gauss-Newton方程的新的有效算法。

The divisible semiring congruence on S was characterized. A one-toone, inclusion-preserving mapping from the set of full, closed, self-conjugate subsemirings of S to the set of divisible semiring congruence on S was established. A result for the divisible semiring congruence lattice was obtained.

给出了这类半环上可除半环同余的一种刻画，建立了S上的可除半环同余与满、闭、自共轭理想子半环的保序一一对应，得到了可除半环同余格的一个结果。

For thus says Jehovah of hosts, the God of Israel, I have put an iron yoke upon the neck of all these nations that they may serve Nebuchadnezzar the king of Babylon; and they will serve him.

28：14 因为万军之耶和华以色列的神如此说，我已将铁轭加在这些国的颈项上，使他们服事巴比伦王尼布甲尼撒，他们必要服事他；我也把田野的走兽给了他。

In this paper, some results of the self-conjugate matrices over skew-field of quaternions are given.

本文在[l—5]基础上，给出四元数自共轭矩阵若干结果。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。