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Numpy Articles
Page 14 of 81
Integrate a Chebyshev series in Python
To Integrate a Chebyshev series, use the chebyshev.chebint() method in Python. Returns the Chebyshev series coefficients c integrated m times from lbnd along axis. At each iteration the resulting series is multiplied by scl and an integration constant, k, is added.The 1st parameter, c is an array of Chebyshev series coefficients. If c is multidimensional the different axis correspond to different variables with the degree in each axis given by the corresponding index. The 2nd parameter, m is an order of integration, must be positive. (Default: 1)The 3rd parameter, k is an Integration constant(s). The value of the first integral ...
Read MoreEvaluate a 3-D Chebyshev series on the Cartesian product of x, y and z in Python
To evaluate a 3-D Chebyshev series on the Cartesian product of x, y, z, use the polynomial.chebgrid3d(x, y, z) method in Python. If c has fewer than three dimensions, ones are implicitly appended to its shape to make it 3-D. The shape of the result will be c.shape[3:] + x.shape + y.shape + z.shape.The parameter, x, y and z are the three dimensional series is evaluated at the points in the Cartesian product of x, y, and z. If x, `y`, or z is a list or tuple, it is first converted to an ndarray, otherwise it is left unchanged ...
Read MoreEvaluate a 2-D Chebyshev series on the Cartesian product of x and y with 1d array of coefficient in Python
To evaluate a 2-D Chebyshev series on the Cartesian product of x and y, use the polynomial.chebgrid2d(x, y, c) method in Python. The method returns the values of the two dimensional Chebyshev series at points in the Cartesian product of x and y. If c has fewer than two dimensions, ones are implicitly appended to its shape to make it 2-D. The shape of the result will be c.shape[2:] + x.shape + y.shape.The parameter, x and y are the two dimensional series is evaluated at the points in the Cartesian product of x and y. If x or y is ...
Read MoreGenerate a monic polynomial with given complex roots in Python
To generate a monic polynomial with given complex roots, use the polynomial.polyfromroots() method in Python Numpy. The method returns the 1-D array of the polynomial’s coefficients If all the roots are real, then out is also real, otherwise it is complex. The parameter roots are the sequence containing the roots.StepsAt first, import the required libraries -from numpy.polynomial import polynomial as PGiven complex roots −j = complex(0, 1) print("Result...", P.polyfromroots((-j, j)))Get the datatype −print("Type...", P.polyfromroots((-j, j)).dtype) Get the shape −print("Shape...", P.polyfromroots((-j, j)).shape)Examplefrom numpy.polynomial import polynomial as P # To generate a monic polynomial with given roots, use the polynomial.polyfromroots() method ...
Read MoreEvaluate a 3-D Chebyshev series at points (x, y, z) with 4D array of coefficient in Python
To evaluate a 3-D Chebyshev series at points (x, y, z), use the polynomial.chebval3d() method in Python Numpy. The method returns the values of the multidimensional polynomial on points formed with triples of corresponding values from x, y, and z.The parameters are x, y, z. The three dimensional series is evaluated at the points (x, y, z), where x, y, and z must have the same shape. If any of x, y, or z is a list or tuple, it is first converted to an ndarray, otherwise it is left unchanged and if it isn’t an ndarray it is treated ...
Read MoreEvaluate a 3-D Chebyshev series at points (x, y, z) in Python
To evaluate a Evaluate a 3-D Chebyshev series at points (x, y, z), use the polynomial.chebval3d() method in Python Numpy. The method returns the values of the multidimensional polynomial on points formed with triples of corresponding values from x, y, and z.The parameters are x, y, z. The three dimensional series is evaluated at the points (x, y, z), where x, y, and z must have the same shape. If any of x, y, or z is a list or tuple, it is first converted to an ndarray, otherwise it is left unchanged and if it isn’t an ndarray it ...
Read MoreEvaluate a 2-D Chebyshev series at points (x, y) with 3D array of coefficient in Python
To evaluate a 2-D Chebyshev series at points (x, y), use the polynomial.chebval2d() method in Python Numpy. The method returns the values of the two dimensional Chebyshev series at points formed from pairs of corresponding values from x and y i.e. Parameters, x, y. The two dimensional series is evaluated at the points (x, y), where x and y must have the same shape. If x or y is a list or tuple, it is first converted to an ndarray, otherwise it is left unchanged and, if it isn’t an ndarray, it is treated as a scalar.The parameter, c is ...
Read MoreEvaluate a Chebyshev series at points x when coefficients are multi-dimensional in Python
To evaluate a Chebyshev series at points x, use the chebyshev.chebval(() method in Python Numpy. The 1st parameter, x, if x is a list or tuple, it is converted to an ndarray, otherwise it is left unchanged and treated as a scalar. In either case, x or its elements must support addition and multiplication with themselves and with the elements of c. The 2nd parameter, C, an array of coefficients ordered so that the coefficients for terms of degree n are contained in c[n]. If c is multidimensional the remaining indices enumerate multiple polynomials. In the two dimensional case the ...
Read MoreEvaluate a Chebyshev series at points x in Python
To evaluate a Chebyshev series at points x, use the chebyshev.chebval(() method in Python Numpy. The 1st parameter, x, if x is a list or tuple, it is converted to an ndarray, otherwise it is left unchanged and treated as a scalar. In either case, x or its elements must support addition and multiplication with themselves and with the elements of c.The 2nd parameter, C, an array of coefficients ordered so that the coefficients for terms of degree n are contained in c[n]. If c is multidimensional the remaining indices enumerate multiple polynomials. In the two dimensional case the coefficients ...
Read MoreRaise a Chebyshev series to a power in Python
To raise a Chebyshev series to a power, use the chebyshev.chebpow() method in Python Numpy. Returns the Chebyshev series c raised to the power pow. The argument c is a sequence of coefficients ordered from low to high. i.e., [1, 2, 3] is the series T_0 + 2*T_1 + 3*T_2. The method returns the Chebyshev series of power.The parameter, c is a 1-D array of Chebyshev series coefficients ordered from low to high. The parameter, power is a power to which the series will be raised. The parameter, maxpower is the maximum power allowed. This is mainly to limit growth ...
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