Ordinary differential equations--常微分方程(英文原版进口) The geometry of geodesics--测地线的几何(英文原版进口) Concepts of mathematical modeling--数学建模概念(英文原版进口) ..
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本文用微分几何理论推导出纤维缠绕复合材料压力容器的非测地线缠绕轨迹、包角方程及绕丝头运动方程。
Non geodesic trajectory mandrel rotation and payout eye motion equations for fiber reinforced composite pressure vessels are derivated by theory of differential geometry.
最直测地线有更完整的微分几何定义和理论系统，在图形学领域内，对它的研究和应用还比较少。
Straightest geodesics are with intact differential definition and theory system, but related study and application in graphics is very few now.
测地线在光滑曲面上有很好的几何性质，也有相应的测地线偏微分方程表达以及一些解析的方法来求解。
Geodesics on smooth surface have many good geometric properties and there are equivalent partial differential equations and analytical methods solving it.
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