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Convert a Legendre series to a polynomial in Python
To convert a Legendre series to a polynomial, use the laguerre.leg2poly() method in Python Numpy
# Convert an array representing the coefficients of a Legendre series, ordered from lowest degree to highest, to an array of the coefficients of the equivalent polynomial (relative to the “standard” basis) ordered from lowest to highest degree.
# The method returns a 1-D array containing the coefficients of the equivalent polynomial ordered from lowest order term to highest. # The parameter c, is a 1-D array containing the Legendre series coefficients, ordered from lowest order term to highest.
Steps
At first, import the required library −
import numpy as np from numpy.polynomial import legendre as L
Create an array using the numpy.array() method −
c = np.array([1, 2, 3, 4, 5])
Display the array −
print("Our Array...\n",c)Check the Dimensions −
print("\nDimensions of our Array...\n",c.ndim)Get the Datatype −
print("\nDatatype of our Array object...\n",c.dtype)Get the Shape −
print("\nShape of our Array object...\n",c.shape)To convert a Legendre series to a polynomial, use the laguerre.leg2poly() method in Python Numpy. Convert an array representing the coefficients of a Legendre series, ordered from lowest degree to highest, to an array of the coefficients of the equivalent polynomial (relative to the “standard” basis) ordered from lowest to highest degree −
print("\nResult (legendre to polynomial)...\n",L.leg2poly(c))Example
import numpy as np
from numpy.polynomial import legendre as L
# Create an array using the numpy.array() method
c = np.array([1, 2, 3, 4, 5])
# Display the array
print("Our Array...\n",c)
# Check the Dimensions
print("\nDimensions of our Array...\n",c.ndim)
# Get the Datatype
print("\nDatatype of our Array object...\n",c.dtype)
# Get the Shape
print("\nShape of our Array object...\n",c.shape)
# To convert a Legendre series to a polynomial, use the laguerre.leg2poly() method in Python Numpy
print("\nResult (legendre to polynomial)...\n",L.leg2poly(c))Output
Our Array... [1 2 3 4 5] Dimensions of our Array... 1 Datatype of our Array object... int64 Shape of our Array object... (5,) Result (legendre to polynomial)... [ 1.375 -4. -14.25 10. 21.875]
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