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Multiply a Chebyshev series by an independent variable in Python
To multiply a Chebyshev series by an independent variable, use the polynomial.chebyshev.chebmulx() method in Python Numpy. The method returns an array representing the result of the multiplication. The parameters c1 and c2 are 1-D arrays of Chebyshev series coefficients ordered from low to high.
Steps
At first, import the required libraries -
import numpy as np from numpy.polynomial import chebyshev as C
Create an array −
x = np.array([1, 2, 3])
Display the array −
print("Our Array...\n",x)
Check the Dimensions −
print("\nDimensions of our Array...\n",x.ndim)
Get the Datatype −
print("\nDatatype of our Array object...\n",x.dtype)
Get the Shape −
print("\nShape of our Array object...\n",x.shape)
To multiply a Chebyshev series by an independent variable, use the polynomial.chebyshev.chebmulx() method −
print("\nResult....\n",C.chebmulx(x))
Example
import numpy as np from numpy.polynomial import chebyshev as C # Create an array x = np.array([1, 2, 3]) # Display the array print("Our Array...\n",x) # Check the Dimensions print("\nDimensions of our Array...\n",x.ndim) # Get the Datatype print("\nDatatype of our Array object...\n",x.dtype) # Get the Shape print("\nShape of our Array object...\n",x.shape) # To multiply a Chebyshev series by an independent variable, use the polynomial.chebyshev.chebmulx() method in Python Numpy # The method returns an array representing the result of the multiplication. print("\nResult....\n",C.chebmulx(x))
Output
Our Array... [1 2 3] Dimensions of our Array... 1 Datatype of our Array object... int64 Shape of our Array object... (3,) Result.... [1. 2.5 1. 1.5]
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