如何在Python中使用 NumPy 将一个多项式添加到另一个多项式?
在本文中,让我们看看如何将一个多项式添加到另一个多项式。给出两个多项式作为输入,结果是两个多项式相加。
- 多项式p(x) = C 3 x 2 + C 2 x + C 1在 NumPy 中表示为: ( C1, C2, C3 ) {系数(常数)}。
- 让我们取两个多项式 p(x) 和 q(x),然后将它们相加得到 r(x) = p(x) + q(x) 作为两个输入多项式相加的结果。
If p(x) = A3 x2 + A2 x + A1
and
q(x) = B3 x2 + B2 x + B1
then result is
r(x) = p(x) + q(x)
i.e;
r(x) = (A3 + B3) x2 + (A2 + B2) x + (A1 + B1)
and output is
( (A1 + B1), (A2 + B2), (A3 + B3) )
下面是一些示例的实现:
示例 1: simple_use
Python3
# importing package
import numpy
# define the polynomials
# p(x) = 5(x**2) + (-2)x +5
px = (5,-2,5)
# q(x) = 2(x**2) + (-5)x +2
qx = (2,-5,2)
# add the polynomials
rx = numpy.polynomial.polynomial.polyadd(px,qx)
# print the resultant polynomial
print(rx)
Python3
# importing package
import numpy
# define the polynomials
# p(x) = 2.2
px = (0,0,2.2)
# q(x) = 9.8(x**2) + 4
qx = (9.8,0,4)
# add the polynomials
rx = numpy.polynomial.polynomial.polyadd(px,qx)
# print the resultant polynomial
print(rx)
Python3
# importing package
import numpy
# define the polynomials
# p(x) = (5/3)x
px = (0,5/3,0)
# q(x) = (-7/4)(x**2) + (9/5)
qx = (-7/4,0,9/5)
# add the polynomials
rx = numpy.polynomial.polynomial.polyadd(px,qx)
# print the resultant polynomial
print(rx)
输出 :
[ 7. -7. 7.]
示例 2: #add_with_decimals
Python3
# importing package
import numpy
# define the polynomials
# p(x) = 2.2
px = (0,0,2.2)
# q(x) = 9.8(x**2) + 4
qx = (9.8,0,4)
# add the polynomials
rx = numpy.polynomial.polynomial.polyadd(px,qx)
# print the resultant polynomial
print(rx)
输出 :
[ 9.8 0. 6.2]
示例 3: eval_then_add
Python3
# importing package
import numpy
# define the polynomials
# p(x) = (5/3)x
px = (0,5/3,0)
# q(x) = (-7/4)(x**2) + (9/5)
qx = (-7/4,0,9/5)
# add the polynomials
rx = numpy.polynomial.polynomial.polyadd(px,qx)
# print the resultant polynomial
print(rx)
输出 :
[-1.75 1.66666667 1.8 ]