3. python代码实现勒让德多项式 3.1 代码 根据以上的递推关系,可以编写如下的python代码,代码基于sympy符号运算库。实现的过程主要利用了前面的递推关系,程序中通过循环实现该递推关系。 def LegendrePolynomials(N,x): """ N 为勒让德多项式的阶数 x 为自变量 sym.symbol对象 """ if N == 0: return 1 if...
>>>importmatplotlib.pyplotasplt>>>forninrange(0,5):...y =eval_legendre(n, X)...plt.plot(X, y, label=r'$P_{}(x)$'.format(n)) >>>plt.title("Legendre Polynomials")>>>plt.xlabel("x")>>>plt.ylabel(r'$P_n(x)$')>>>plt.legend(loc='lower right')>>>plt.show()...
我在下面给出了一个简单的例子。我对correct polynomials进行了手工编码,并将它们与我使用Numpy访问的内容进行了比较。显然,加权和不是期望的个体基函数。如何使用numpy的多项式模块使顶部的图与底部的图 浏览30提问于2019-09-07得票数 0 回答已采纳 2回答 在Python中求Legendre多项式的导数 、、、 我有一个引力势...
The polynomials may be denoted by Pn(x) , called the Legendre polynomial of order n. The polynomials are either even or odd functions of x for even or odd orders n. The first few polynomials are shown below. The general form of a Legendre polynomial of order n is given by the sum: ...
Python Copy NumPy.legvander() 为了用一个数组生成Legendre多项式的伪Vandermonde矩阵,用户必须在PythonNumpy中调用NumPy.legvander()方法。这将返回伪范德蒙矩阵,返回的矩阵的形状是x.shape + (deg + 1,),其中最后一个索引是相应的Legendre多项式的度数。
We build a Python algorithm based on Legendre polynomials called "2DLegendre_Fit," which generates (using multilinear interpolation) intermediate images between neighboring MIS phases. We used this code to generate $m$ images of size $M imes M$, resulting in a matrix with size $M imes M ...
问scipy的legendre多项式的正交性问题EN1. 定义 若函数 在区间 (a,b) 可积，且 ，则 可...
Language: TeX Filter by language All 1 Python 6 C 1 C++ 1 Julia 1 TeX 1 kenn44 / classical-families-of-orthogonal-polynomials Star 0 Code Issues Pull requests During my third year of mathematics, I had to write a memoir whose subject is: Studies of some classical families of ortho...
Run python ./coefficients_computation_for_fitted_polynomials/FashionMNIST/parallel_0_to_10_dq25.py to perform polynomial regression over the Fashion MNIST dataset. Set no_images and deg_quad as required or keep the default values. Run python ./coefficients_computation_for_fitted_polynomials/Fashion...
证明每个椭圆积分可以表示为这三类积分的组合，并编制了详尽的椭圆积分数值表，还引用若干新符号，使他...