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Patriarch Photius (9th century) was the first Orthodox theologian to explicitly spell out the Greek opposition to the Filioque concept, but the debate continued throughout the Middle Ages.

牧photius是第一个东正教神学家明确地阐明了有关希腊反对以filioque概念，但辩论持续了中世纪。

In the context of the thesis, the history and development of webmetrics were filly described, conceptions and characteristics theoretically discussed, and the significance and objectives explicitly determined.

本文介绍了网络信息计量学的产生和发展过程，并从理论上探讨了网络信息计量学的概念和特点，确定了网络信息计量学研究的现实意义和目的。

The difference between an ordinary and a partial derivative was at first not explicitly recognized.

通常的导数与偏导数的区别在一开始并未被人们明确地认识。

The difference between an ordinary and a partial derivative was at first not explicitly recongized.

通常的导数与偏导数的区别在一开始并未被人们明确地认识。

The rotated and scaled timber flitch beams forming the main structure became two coiled surfaces, both with an explicitly pleated topography.

旋转和缩放木材flitch梁形成的主要结构是两个连续的表面，既明确折叠的地形。

To analysis combustor structure's contribution to fluxion and combustion explicitly, it is necessary to study the impaction of wave system and fire temperature on chemical reaction and heat release's procedure.

为了细致分析燃烧室结构和流动进口参数对超燃的作用关系，必须细化研究超音速流场的波系结构和燃气温度对化学反应放热过程的影响。

Based on the tensor expression for the Breit-Pauli Hamiltonian,and with the aid of irreducible tensor theory,the theory of relativistic corrections to the non-relativistic energies of many-electron atoms has been generalized to the case in which Racah wave functions are the linear combinations of multi-Slater wave functions,analytic formulism for calculating the relativistic corrections,which include mass correction,one-and two-body Darwin correction and spin-spin contact interaction,has been derived,all the angular interactions and spin sums involved in the problem have been worked out explicitly by using irreducible theory.

以Breit-Pauli哈密顿的球张量形式为基础，借助不可约张量理论，将多电子原子能量的相对论修正理论拓展到了原子的拉卡波函数为多个Slater基函数的线性组合的情形，导出了此情形下多电子原子能量相对论修正(包括相对论质量修正项、单体和双体达尔文修正项、自旋-自旋接触相互作用项)的解析表达式，完成了所有角向积分和自旋求和计算。

The frontogenesis process involves in the interactions among the systems of multiple scales. Since the hardness of the nonlinear problem, it is difficult to study frontogenesis analytically. The introduction of the effects of orography, friction and diabatic processes generally makes impossible the analytical resolution of the problem and leads to the use of numerical models. Primitive equations are numerical integrated together with a detailed description of physical processes. The circulation obtained is then used to diagnose and test theoretical mechanisms. It should be noted, however, that a fully description of frontogenesis in explicitly resolving the of large-, meso- and micro-scale flow in the same framework is not yet possible because of the excessive computer capacity and the time required. In order to deal with the problem, the action of large-scale background has been simplified and taken into consideration through the addition of the forcing into the nonhydrostatic cloud model.

大气锋生是一种多尺度相互作用的过程，理论研究遇到非线性的困难，在考虑地形、摩擦、非绝热等物理过程之后，解析研究更加棘手，通过数值模拟搞清其中的物理机制是重要的研究手段，但是把大、中、小尺度甚至微尺度的系统及其相互作用过程在一个模式里同时模拟好仍然受计算机速度和容量的限制，本论文在非静力云模式中通过强迫方式加入大尺度变形场的作用，在考虑到大尺度背景作用的同时，可以充分利用云模式所提供的丰富物理过程、非静力和高分辨率特点，开展一些过去较难进行的研究工作。

A systematic study on computing the integral curvature line on NURBS surface is presented. Discrete normal is used to simplify calculation of the second fundamental form of the surface, resulting in accelerating the Euler iteration process in solving the differential equation of curvature line. Discrete points on the curvature line are then obtained and approximated by an explicitly presented B-spline curve on the NURBS surface using singular mixed interpolation and capable of controlling the error within a given tolerance.

对NURBS曲面的曲率线的积分进行了系统的公式推导，并利用NURBS曲面的离散法向量有效地简化了曲面第二基本量的计算，加速了Euler法迭代求解曲率线微分方程的过程；在求得曲率线上的离散点集以后，应用奇异混合插值技术，在可控精度内把曲率线用显式直接表示为位于NURBS曲面上的B样条曲线。

Then time-dependent invariant is introduced and a kind of method to solve the Schrodinger equation explicitly called Gauge transformation method.

稍后引入含时不变量的定义，以及精确求解薛定谔方程的含时规范变换方法，再次讨论了Aharonov-Bohm效应，Berry相位和绝热近似。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样