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Articles by AmitDiwan
Page 10 of 840
Evaluate a 3-D Hermite_e series at points (x,y,z) with 2D array of coefficient in Python
To evaluate a 3D Hermite_e series at points (x, y, z), use the hermite_e.hermeval3d() method in NumPy. The method returns the values of the multidimensional polynomial on points formed with triples of corresponding values from x, y, and z. The first parameter consists of x, y, z coordinates. 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 ...
Read MoreEvaluate a 2-D Hermite_e series at points (x,y) with 1D array of coefficient in Python
To evaluate a 2D Hermite_e series at points (x, y), use the hermeval2d() method from NumPy's polynomial module. This function evaluates a two-dimensional Hermite_e polynomial at specified coordinate pairs and returns the corresponding values. Syntax numpy.polynomial.hermite_e.hermeval2d(x, y, c) Parameters The function accepts three parameters: x, y: The coordinate arrays where the polynomial is evaluated. They must have the same shape. c: Array of coefficients ordered so that the coefficient of term with multi-degree i, j is in c[i, j]. Example Let's create a 1D coefficient array and evaluate the ...
Read MoreDivide one Hermite_e series by another in Python
To divide one Hermite_e series by another, use the polynomial.hermite_e.hermediv() method in Python NumPy. The method returns a tuple containing the quotient and remainder as arrays of Hermite_e series coefficients. The method performs polynomial long division on two Hermite_e series c1 / c2, where the arguments are sequences of coefficients from lowest order "term" to highest. For example, [1, 2, 3] represents the series P_0 + 2*P_1 + 3*P_2. Syntax numpy.polynomial.hermite_e.hermediv(c1, c2) Parameters c1, c2: 1-D arrays of Hermite_e series coefficients ordered from low to high degree. Return Value Returns a ...
Read MoreMultiply one Hermite_e series to another in Python
To multiply one Hermite_e series to another, use the polynomial.hermite_e.hermemul() method in Python NumPy. The method returns an array representing the Hermite_e series of their product. The arguments are sequences of coefficients, from lowest order "term" to highest, e.g., [1, 2, 3] represents the series P_0 + 2*P_1 + 3*P_2. Syntax numpy.polynomial.hermite_e.hermemul(c1, c2) Parameters The parameters are 1-D arrays of Hermite_e series coefficients ordered from low to high ? c1, c2 − 1-D arrays of Hermite_e polynomial coefficients Example Let's multiply two Hermite_e series using coefficient arrays ? ...
Read MoreIntegrate a Legendre series and set the order of integration in Python
To integrate a Legendre series, use the polynomial.legendre.legint() method in Python. The method returns the Legendre series coefficients integrated m times from lbnd along axis. At each iteration the resulting series is multiplied by scl and an integration constant k is added. Syntax numpy.polynomial.legendre.legint(c, m=1, k=[], lbnd=0, scl=1, axis=0) Parameters The parameters for legint() method are ? c − Array of Legendre series coefficients. If c is multidimensional, different axes correspond to different variables m − Order of integration, must be positive (Default: 1) k − Integration constant(s). The value of the ...
Read MoreIntegrate a Legendre series in Python
To integrate a Legendre series, use the polynomial.legendre.legint() method in Python. The method returns the Legendre 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. Syntax numpy.polynomial.legendre.legint(c, m=1, k=[], lbnd=0, scl=1, axis=0) Parameters The function accepts the following parameters: c: Array of Legendre series coefficients. If multidimensional, different axes correspond to different variables m: Order of integration, must be positive (Default: 1) k: Integration constant(s). If empty list (default), all constants are set to ...
Read MoreDifferentiate a Legendre series, set the derivatives and multiply each differentiation by a scalar in Python
To differentiate a Legendre series in Python, use the polynomial.legendre.legder() method. This function returns the Legendre series coefficients differentiated m times along the specified axis, with each differentiation multiplied by a scalar value. Syntax numpy.polynomial.legendre.legder(c, m=1, scl=1, axis=0) Parameters The function accepts the following parameters: c − Array of Legendre series coefficients. For multidimensional arrays, different axes correspond to different variables m − Number of derivatives to take (must be non-negative, default: 1) scl − Scalar multiplier applied to each differentiation (default: 1). Final result is multiplied by scl**m axis − Axis ...
Read MoreMultiply a Hermite_e series by an independent variable in Python
To multiply a Hermite_e series by the independent variable x, use the hermemulx() method from NumPy's polynomial module. This method takes a 1-D array of Hermite_e series coefficients and returns the result of multiplying the series by x. Syntax numpy.polynomial.hermite_e.hermemulx(c) Parameters c − 1-D array of Hermite_e series coefficients ordered from low to high degree Return Value Returns an array representing the Hermite_e series multiplied by x. Example Let's create a Hermite_e series and multiply it by the independent variable ? import numpy as np from numpy.polynomial import ...
Read MoreSubtract one Hermite_e series from another in Python
To subtract one Hermite_e series from another, use the polynomial.hermite_e.hermesub() method in Python NumPy. The method returns an array representing the Hermite_e series of their difference (c1 - c2). The sequences of coefficients are ordered from lowest to highest degree term, i.e., [1, 2, 3] represents the series P_0 + 2*P_1 + 3*P_2. Syntax numpy.polynomial.hermite_e.hermesub(c1, c2) Parameters c1, c2: 1-D arrays of Hermite_e series coefficients ordered from low to high degree. Example Let's create two Hermite_e series and subtract one from another ? import numpy as np from numpy.polynomial import ...
Read MoreAdd one Hermite_e series to another in Python
To add one Hermite_e series to another, use the polynomial.hermite_e.hermeadd() method in NumPy. The method returns an array representing the Hermite_e series of their sum. The arguments are sequences of coefficients ordered from lowest order term to highest, i.e., [1, 2, 3] represents the series P_0 + 2*P_1 + 3*P_2. Syntax numpy.polynomial.hermite_e.hermeadd(c1, c2) Parameters: c1, c2 − 1-D arrays of Hermite_e series coefficients ordered from low to high Returns: Array representing the sum of the two Hermite_e series Example Let's create two Hermite_e series and add them together − ...
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