平面上等周问题是微分几何的基本问题之一。
The isoperimetric problem is one of the basic differential geometric problems.
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.
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.
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.
建议事先知道一些关于代数拓扑和微分几何的基本知识，但不是必需的。
Knowledge of elementary algebraic topology and elementary differential geometry is recommended, but not required.
主要介绍了变结构控制、反馈线性化的微分几何方法、逆系统方法、直接反馈线性化等方法的基本思想和基本问题。
The idea and basic problem in variable structure control, differential geometry method on feedback linearization , inverse system method, direct feedback linearization method are mainly described.
从圆弧齿轮齿面微分几何分析、弹性接触变形和跑合磨损分析，建立了具有二维表面速度的点接触弹流基本模型。
Based on the fuzzy mathematics and the theory of the reliability design, the mathematics model of the fuzzy reliability design of the circular arc gears is established.
从圆弧齿轮齿面微分几何分析、弹性接触变形和跑合磨损分析，建立了具有二维表面速度的点接触弹流基本模型。
Based on the fuzzy mathematics and the theory of the reliability design, the mathematics model of the fuzzy reliability design of the circular arc gears is established.
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