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Evaluate a Legendre series at points x and the shape of the coefficient array extended for each dimension of x in Python

AmitDiwan
Updated on 02-Mar-2022 06:37:10

139 Views

To evaluate a Legendre series at points x, use the polynomial.legendre.legval() method in Python Numpy. The 1st parameter is 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 More

Evaluate a Legendre series at points x when coefficients are multi-dimensional in Python

AmitDiwan
Updated on 02-Mar-2022 06:35:26

145 Views

To evaluate a Legendre series at points x, use the polynomial.legendre.legval() method in Python Numpy. The 1st parameter is 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 More

Differentiate a Hermite series and set the derivatives in Python

AmitDiwan
Updated on 02-Mar-2022 06:33:23

167 Views

To differentiate a Hermite series, use the hermite.hermder() method in Python. The 1st parameter, c is an array of Hermite 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 the number of derivatives taken, must be non-negative. (Default: 1)The 3rd parameter, scl is a scalar. Each differentiation is multiplied by scl. The end result is multiplication by scl**m. This is for use in a linear change of variable. (Default: 1). The 4th parameter, axis is an Axis over which the ... Read More

C++ Program to find out the maximum number of moves to reach a unblocked cell to another unblocked cell in a grid

Arnab Chakraborty
Updated on 02-Mar-2022 06:37:29

328 Views

Suppose, we are given a grid of dimensions h * w that contains two types of cells, blocked and unblocked. Blocked cells mean that the cells aren't accessible and unblocked means that the cells are accessible. We represent the grid in a 2D array where the blocked cells are given as '#' and the unblocked cells are given as '.'. Now, we have to reach from an unblocked cell to another unblocked cell in the grid. We can perform only two moves, we can either go vertical or we can go horizontal. We can't move diagonally. We have to keep ... Read More

Differentiate a Hermite series with multidimensional coefficients in Python

AmitDiwan
Updated on 02-Mar-2022 06:31:48

175 Views

To differentiate a Hermite series, use the hermite.hermder() method in Python. The 1st parameter, c is an array of Hermite 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 the number of derivatives taken, must be non-negative. (Default: 1)The 3rd parameter, scl is a scalar. Each differentiation is multiplied by scl. The end result is multiplication by scl**m. This is for use in a linear change of variable. (Default: 1). The 4th parameter, axis is an Axis over which the ... Read More

Differentiate a Hermite series in Python

AmitDiwan
Updated on 02-Mar-2022 06:30:01

212 Views

To differentiate a Hermite series, use the hermite.hermder() method in Python. The 1st parameter, c is an array of Hermite 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 the number of derivatives taken, must be non-negative. (Default: 1) The 3rd parameter, scl is a scalar. Each differentiation is multiplied by scl. The end result is multiplication by scl**m. This is for use in a linear change of variable. (Default: 1). The 4th parameter, axis is an Axis over which ... Read More

Evaluate a 3-D Hermite series on the Cartesian product of x, y and z with 2d array of coefficient in Python

AmitDiwan
Updated on 02-Mar-2022 06:28:00

135 Views

To evaluate a 3-D Hermite series on the Cartesian product of x, y and z, use the hermite.hermgrid3d(x, y, z, c) method in Python. The method returns the values of the two dimensional polynomial at points in the Cartesian product of x, y and z.The parameters are x, y, z. 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 and, if it isn’t an ndarray, it is treated as ... Read More

Evaluate a 3-D Hermite series on the Cartesian product of x, y and z with 4d array of coefficient in Python

AmitDiwan
Updated on 02-Mar-2022 06:24:54

135 Views

To evaluate a 3-D Hermite series on the Cartesian product of x, y and z, use the hermite.hermgrid3d(x, y, z, c) method in Python. The method returns the values of the two dimensional polynomial at points in the Cartesian product of x, y and z.The parameters are x, y, z. 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 and, if it isn’t an ndarray, it is treated as ... Read More

Evaluate a 3-D Hermite series on the Cartesian product of x, y and z in Python

AmitDiwan
Updated on 02-Mar-2022 06:22:10

144 Views

To evaluate a 3-D Hermite series on the Cartesian product of x, y and z, use the hermite.hermgrid3d(x, y, z, c) method in Python. The method returns the values of the three dimensional polynomial at points in the Cartesian product of x, y and z.The parameters are x, y, z. 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 and, if it isn’t an ndarray, it is treated as ... Read More

Differentiate a Laguerre series, set the derivatives and multiply each differentiation by a scalar in Python

AmitDiwan
Updated on 02-Mar-2022 06:20:30

193 Views

To differentiate a Laguerre series, use the laguerre.lagder() method in Python. The method returns the Laguerre series coefficients c differentiated m times along axis. At each iteration the result is multiplied by scl. The argument c is an array of coefficients from low to high degree along each axis, e.g., [1, 2, 3] represents the series 1*L_0 + 2*L_1 + 3*L_2 while [[1, 2], [1, 2]] represents 1*L_0(x)*L_0(y) + 1*L_1(x)*L_0(y) + 2*L_0(x)*L_1(y) + 2*L_1(x)*L_1(y) if axis=0 is x and axis=1 is y.The 1st parameter, c is an array of Laguerre series coefficients. If c is multidimensional the different axis correspond ... Read More

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