研究表明，如果给定15分钟的自由玩耍时间，四到五岁的孩子会将其中三分之一的时间花在有关空间、数学和建筑的活动上。
Research shows that given 15 minutes of free play, four- and five-year-olds will spend a third of this time engaged in spatial, mathematical, and architectural activities.
为了研究列车中各车辆在直线上和大半径圆曲线上的蛇行稳定性，建立了具有17个自由度的车辆系统非线性数学模型。
In order to study the straight and circular curved track stability of each vehicle in the train set, a mathematical model of vehicle system with 17 freedom degrees was set up.
本文，我们研究了在药物作用下未血管化肿瘤生长的数学模型，该模型是一个偏微分方程的自由边界问题。
In this paper we study a free boundary problem modelling the growth of an avascular tumor with drug application.
本文在严格、完整的基础上，利用矩阵范数理论研究了结构非线性动力分析中数值积分格式的稳定性问题，给出了判别单自由度非线性动力方程积分格式稳定性的一般数学准则。
The problem of stability in the numerical integration schemes of nonlinear dynamic analysis of structures is discussed by using matrix and norm theory on a rigorous and complete basis in this paper.
详细研究了测量系统各组成部分的特性和系统的实现方法，完成了已知自由曲面的测量和轮廓度误差评定，实现了未知自由曲面的测量和数学模型的建立。
The design method of the system and the characteristics of its components are studied in detail. By using this system, a known free-form surface can be measured and its profile error can be assessed.
潜艇水下运动是六个自由度的多姿态运动，建立空间运动方程数学模型是计算机仿真时对其进行比较准确的描述和对运动状态进行仿真研究的关键。
The submarine underwater motion is the 6d motion multi-stance movement. It requires quite exact description and dynamic simulation research. The key technology is to create submarine motion equation.
基于虚拟样机技术对六自由度关节臂式坐标测量机的测量空间进行研究和仿真，建立了六自由度关节臂式坐标测量机的测量运动学数学模型和虚拟样机模型。
Based on virtual prototyping technology, the six-degrees of freedom Articulated Coordinate Measuring Machine (A-CMM) is investigated, and the measure space of the A-CMM is analyzed and simulated.
基于虚拟样机技术对六自由度关节臂式坐标测量机的测量空间进行研究和仿真，建立了六自由度关节臂式坐标测量机的测量运动学数学模型和虚拟样机模型。
Based on virtual prototyping technology, the six-degrees of freedom Articulated Coordinate Measuring Machine (A-CMM) is investigated, and the measure space of the A-CMM is analyzed and simulated.
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