# piecewise polynomial中文

## 例句與用法

1. They have the properties like the quadratic uniform b - spline basis functions . the piecewise polynomial curves generated by the above - mentioned functions possess the same structure and geometry properties as piecewise quadratic uniform b - spline curve
它們具有二次均勻b樣條基函數的性質，且用它們生成的分段多項式曲線具有與分段二次均勻b樣條曲線相同的結構和幾何性質。
2. The method employs a recently developed direct optimization technique that uses a piecewise polynomial representation for the state and controls , thus converting the optimal control problem into a nonlinear programming problem . the method is remarkably robust to initial guesses , which is better than traditional method
這種方法利用了近些年來發展起來的直接優化技術，用分段多項式來表示整個軌道的狀態和控制向量，將最優控制問題轉化為非線性規劃問題來研究。
3. In the computational methods of tpbvp , in order to reduce some difficulties involved in solving a tpbvp via adjoint variables , we discuss a direct method in which state and control variables are indirectly parameterized , the method employs a recently developed direct optimization technique that uses a piecewise polynomial representation for the state and control variables , thus converting the optimal control problem into a nonlinear programming problem , which can be solved numerically . it makes the initial iterative variable more easy to be determined
在數值解法中，為了減少解決兩點邊值問題共軛變量帶來的困難，主要討論了將狀態變量和控制變量進行參數化的一種直接方法，這種方法采用了近段發展起來的使用分段的多項式來代替狀態和控制變量的直接優化方法，然后最優控制問題就轉化成可以用數值方法解決的非線性規劃問題，使得迭代初值更加容易選取。