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To evaluate a Laguerre series at points x, use the polynomial.laguerre.lagval() 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

To evaluate a Laguerre series at points x, use the polynomial.laguerre.lagval() 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

To raise a Laguerre series to a power, use the polynomial.laguerre.lagpow() method in Python Numpy. The method returns the Laguerre 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 P_0 + 2*P_1 + 3*P_2.Returns the Laguerre 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 P_0 + 2*P_1 + 3*P_2. The parameter, c is a 1-D array of Laguerre series coefficients ordered from low ... Read More

Suppose we have two numbers r, c and a grid of size n x m. Some cells are in black and remaining are white. In one operation, we can select some black cells and can do exactly one of these two −Color all cells in its row black, orcolor all cells in its column black.We have to find the minimum number of operations needed to make the cells in row r and column c black. If impossible, return -1.So, if the input is likeWBWWWBBBWBWWBBBr = 0 and c = 3then the output will be 1, because we can change the ... Read More

To divide one Laguerre series by another, use the polynomial.laguerre.lagdiv() method in Python Numpy. The method returns a [quo, rem] array Of Laguerre series coefficients representing the quotient and remainder. Returns the quotient-with-remainder of two Laguerre series c1 / c2. 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. The parameters c1 and c2 are 1-D arrays of Laguerre series coefficients ordered from low to high.StepsAt first, import the required library −import numpy as np from numpy.polynomial import laguerre as LCreate 1-D arrays of Laguerre ... Read More

To multiply one Laguerre series to another, use the polynomial.laguerre.lagmul() method in Python Numpy. Returns the multiplication of two Laguerre series c1 * c2. The sequences of coefficients are from lowest order term to highest, i.e., [1, 2, 3] represents the series P_0 + 2*P_1 + 3*P_2. The parameters c1 and c2 are 1-D arrays of Laguerre series coefficients ordered from low to high.StepsAt first, import the required library −import numpy as np from numpy.polynomial import laguerre as LCreate 1-D arrays of Laguerre series coefficients −c1 = np.array([1, 2, 3]) c2 = np.array([3, 2, 1])Display the arrays of coefficients −print("Array1...", ... Read More

Suppose we have an array A with n elements, and other values l, r and k are there. Amal wants to buy chocolates and he will not buy too expensive chocolates, and not also too cheap chocolates. In the store, there are n different chocolate bars and the prices are represented in A. A chocolate bar is too expensive if its price is larger than r and too cheap if its price is less than l. He wants to spend at most k rupees. We have to find the maximum amount of chocolates he can buy.So, if the input is ... Read More

To multiply a Laguerre series by an independent variable, use the polynomial.laguerre.lagmulx() method in Python. Multiply the Laguerre series c by x, where x is the independent variable. The parameter c is a 1-D array of Laguerre series coefficients ordered from low to high.StepsAt first, import the required library −import numpy as np from numpy.polynomial import laguerre as LCreate an array −c = np.array([1, 2, 3])Display the array −print("Our Array...", c)Check the Dimensions −print("Dimensions of our Array...", c.ndim)Get the Datatype −print("Datatype of our Array object...", c.dtype)Get the Shape −print("Shape of our Array object...", c.shape)To multiply a Laguerre series by an ... Read More

Suppose we have an array A with n elements. In one operation, we can add 1 with any one element preset in A. If either the sum or the product of all elements in the array is equal to zero, We can do this operation one more time. We have to count the minimum number of steps needed to make both the sum and the product of all elements in the array different from zero?So, if the input is like A = [-1, 0, 0, 1], then the output will be 2, because both product and sum are 0. If ... Read More

To subtract one Laguerre series from another, use the polynomial.laguerre.lagsub() method in Python Numpy. The method returns an array of Laguerre series coefficients representing their difference. Returns the difference of two Laguerre series c1 - c2. The sequences of coefficients are from lowest order term to highest, i.e., [1, 2, 3] represents the series P_0 + 2*P_1 + 3*P_2. The parameters c1 and c2 are 1-D arrays of Laguerre series coefficients ordered from low to high.StepsAt first, import the required library −import numpy as np from numpy.polynomial import laguerre as LCreate 1-D arrays of Laguerre series coefficients −c1 = np.array([1, ... Read More