平面几何的定理、公式、法则反映了几何概念的内在联系，揭示了它们之间的基本规律。
The theorems, formulas and principles in plane geometry reveal the intrinsic relations and basic laws of geometrical concepts.
接着，仿微分几何的曲线论，建立了基本公式和唯一存在定理。
Then the basic formulae and the theorem on its unique existence have been established as doing in the curve theory in Differential Geometry.
几何光学中高斯公式的推导可以不依赖象反射和折射这些特定的基本原理。
The Gauss's formula in Geometrical optics derived without relying on specific mechanisms such as reflection and refraction.
采用微分方程几何理论分析河流综合水质模型的基本方程，探讨了河流综合水质模型的平衡状态解的求解方法，并给出相关计算公式。
Aiming at the solving problem of equilibrium solution of this nonlinear model, geometry theory of differential equations is adopted, and the relative calculation formula is given.
本文运用基本超几何级数求和的一个简单算法，求得一些基本超几何级数的求和公式。
By using a simple algorithm for the summation of basic hypergeometric series, summation formulas for some basic hypergeometric series are obtained.
第二章：主要介绍了基本超几何级数的基本知识，包括基本概念，一些重要的求和公式以及变换公式等。
In Chapter 2, we introduce the basic knowledge of the basic hypergeometric series, including basic concepts, some summation formulas, transformation formulas, etc.
在文献［］［］［］得结论基础上，又得到了几个基本超几何级数的求和公式。
On basis of the results of reference, in this paper, the author got the summation formula of several basic bypergeometric series.
由微分几何基本公式导得圆弧曲线梁中预应力等代荷载的精确公式，预应力钢索在曲梁中竖弯与平弯均较平缓，此时公式可得以简化。
A precise formula for equivalent load of prestressing force in curved girder of arc form is derived from the fundamental formulae of differential geometry.
由微分几何基本公式导得圆弧曲线梁中预应力等代荷载的精确公式，预应力钢索在曲梁中竖弯与平弯均较平缓，此时公式可得以简化。
A precise formula for equivalent load of prestressing force in curved girder of arc form is derived from the fundamental formulae of differential geometry.
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