numpy.polyint

numpy.polyint(p, m=1, k=None)

返回多项式的反导数（不定积分）。

注解

这是旧的多项式API的一部分。从版本1.4开始，新的多项式API在 numpy.polynomial 首选。差异可以在摘要中找到 transition guide .

退回的订单 m 反导数 P 多项式的 p 满足 定义为 m - 1 积分常数 k . 常数决定了低阶多项式部分

System Message: WARNING/2 (\压裂K M-1 0！}x^0+\ldots+\frac k（m-1）！} ^ ^ {M-1 })

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属于 P 以便 .

参数

p数组或poly1d

要积分的多项式。序列被解释为多项式系数，请参见 poly1d .

m可选的

解毒剂的顺序。（默认值：1）

k 名单 m 标量或标量，可选名单

积分常数。它们是按照集成的顺序给出的：与最高阶项相对应的项首先出现。

如果 None （默认），所有常量都假定为零。如果 m = 1 可以给出单个标量而不是列表。

参见

polyder

多项式的导数

poly1d.integ

等效法

实例

解毒剂的定义性质：

>>> p = np.poly1d([1,1,1])
>>> P = np.polyint(p)
>>> P
 poly1d([ 0.33333333,  0.5       ,  1.        ,  0.        ]) # may vary
>>> np.polyder(P) == p
True

积分常数默认为零，但可以指定：

>>> P = np.polyint(p, 3)
>>> P(0)
0.0
>>> np.polyder(P)(0)
0.0
>>> np.polyder(P, 2)(0)
0.0
>>> P = np.polyint(p, 3, k=[6,5,3])
>>> P
poly1d([ 0.01666667,  0.04166667,  0.16666667,  3. ,  5. ,  3. ]) # may vary

注意3=6/2！，常数按积分顺序给出。最高阶多项式项的常数首先出现：

>>> np.polyder(P, 2)(0)
6.0
>>> np.polyder(P, 1)(0)
5.0
>>> P(0)
3.0

numpy.polyder numpy.polyadd