In the paper, it provides the geometrical solution to extreme value of many variables function by geometric properties of objective function or constraint condition.
本文中，利用目标函数或约束条件的几何性质，提供了某些多元函数极值或最值问题的几何解法。
Geometrical model is a kind of solution model that has been used extensively in predicting thermodynamic properties and calculating phase diagrams for ternary and multicomponent systems.
由二元系估算二元系和多元系的几何模型是当今在热力学和相图计算中用得最为广泛的一种溶液模型。
Then, the analytic solution of the geometrical nonlinear vibration system and the frequency-response properties of the actuator were analyzed by using multi-scale method.
应用多尺度法得到了超磁致伸缩换能器几何非线性振动系统响应的解析解和频响特性表达式。
The mathematical model is based on the calculation of geometrical figures by graphic method and the solution is obtained by successive approximation.
数学模型系以对图解法几何图形的解算为依据，并以逐步逼近计算法求解。
The author explores the solution to the best time problem according to three ways of thinking, including basic trigonometric identity, geometrical optics of physics and Geometer's Sketchpad.
利用基本三角恒等式、物理学中几何光学知识和几何画板软件等三种思维方法，来探讨一个最短时间问题的解法。
Geometrical optics approach can only calculate the high frequency approach solution of drilling bit vibration source wave equation in non caustic area but it become invalid in caustic area.
由于几何光学法求解钻头震源波动方程的高频近似解有局限性，即在焦散区失效，故只能计算非焦散区的高频近似解。
The high-frequency approximation solution that includes the caustic region is obtained with the method combining the geometrical optics.
解决了几何光学法无法在焦散区求解的问题。
Solution on electromagnetic wave propagation in a two-dimensional reflector antenna by Symplectic Geometrical Theory has been gotten.
文中采用辛几何方法得到了二维反射天线上电磁波传播问题的解。
This involves the nonlinear mechanics solution of a cable-driven robot instead of only a geometrical problem involved.
这涉及到系统的非线性力学分析而不仅仅是一个几何问题。
This involves the nonlinear mechanics solution of a cable-driven robot instead of only a geometrical problem involved.
这涉及到系统的非线性力学分析而不仅仅是一个几何问题。
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