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Numpy Articles
Page 7 of 81
Convert a polynomial to Hermite_e series in Python
To convert a polynomial to a Hermite series, use the hermite_e.poly2herme() method in Python Numpy. Convert an array representing the coefficients of a polynomial ordered from lowest degree to highest, to an array of the coefficients of the equivalent Hermite series, ordered from lowest to highest degree. The method returns a 1-D array containing the coefficients of the equivalent Hermite series. The parameter pol, is a 1-D array containing the polynomial coefficientsStepsAt first, import the required library −import numpy as np from numpy.polynomial import hermite_e as HCreate an array using the numpy.array() method −c = np.array([1, 2, 3, 4, 5])Display ...
Read MoreConvert a Hermite_e series to a polynomial in Python
To convert a Hermite_e series to a polynomial, use the hermite_e.herme2poly() method in Python Numpy. Convert an array representing the coefficients of a Hermite_e series, ordered from lowest degree to highest, to an array of the coefficients of the equivalent polynomial (relative to the “standard” basis) ordered from lowest to highest degree. The method returns a 1-D array containing the coefficients of the equivalent polynomial (relative to the “standard” basis) ordered from lowest order term to highest. The parameter c, is a 1-D array containing the Hermite series coefficients, ordered from lowest order term to highest.StepsAt first, import the required ...
Read MoreGenerate a Vandermonde matrix of the Hermite_e polynomial in Python
To generate a Vandermonde matrix of the Hermite_e polynomial, use the hermite_e.hermevander() in Python Numpy. The method returns the pseudo-Vandermonde matrix. The shape of the returned matrix is x.shape + (deg + 1, ), where The last index is the degree of the corresponding Hermite_e polynomial. The dtype will be the same as the converted x.The parameter, x returns an Array of points. The dtype is converted to float64 or complex128 depending on whether any of the elements are complex. If x is scalar it is converted to a 1-D array. The parameter, deg is the degree of the resulting ...
Read MoreCompute the roots of a Hermite_e series with given complex roots in Python
To compute the roots of a Hermite_e series, use the hermite_e.hermeroots() method in Python Numpy. The method returns an array of the roots of the series. If all the roots are real, then out is also real, otherwise it is complex..The parameter, c is a 1-D array of coefficients. The root estimates are obtained as the eigenvalues of the companion matrix, roots far from the origin of the complex plane may have large errors due to the numerical instability of the series for such values. Roots with multiplicity greater than 1 will also show larger errors as the value of ...
Read MoreCompute the roots of a Hermite_e series in Python
To compute the roots of a Hermite_e series, use the hermite.hermroots() method in Python Numpy. The method returns an Array of the roots of the series. If all the roots are real, then out is also real, otherwise it is complex. The parameter, c is a 1-D array of coefficients.The root estimates are obtained as the eigenvalues of the companion matrix, Roots far from the origin of the complex plane may have large errors due to the numerical instability of the series for such values. Roots with multiplicity greater than 1 will also show larger errors as the value of ...
Read MoreGenerate a Hermite_e series with given complex roots in Python
To generate a Hermite_e series with given complex roots, use the hermite_e.hermefromroots() method in Python Numpy. The method returns a 1-D array of coefficients. If all roots are real then out is a real array, if some of the roots are complex, then out is complex even if all the coefficients in the result are real. The parameter roots are the sequence containing the roots.StepsAt first, import the required library −from numpy.polynomial mport hermite_e as HGenerate a Hermite_e series with given complex roots −j = complex(0, 1) print("Result...", H.hermefromroots((-j, j)))Get the datatype −print("Type...", H.hermefromroots((-j, j)).dtype)Get the shape −print("Shape...", H.hermefromroots((-j, j)).shape)Create ...
Read MoreIntegrate a Hermite_e series over axis 0 in Python
To integrate a Hermite_e series, use the hermite_e.hermeint() method in Python. The 1st parameter, c is an array of Hermite_e 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. The 3rd parameter, k is an integration constant(s). The value of the first integral at lbnd is the first value in the list, the value of the second integral at lbnd is the second value, etc. If k == [] (the default), all constants are ...
Read MoreIntegrate a Hermite_e series over axis 1 in Python
To integrate a Hermite_e series, use the hermite_e.hermeint() method in Python. The 1st parameter, c is an array of Hermite_e 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 at lbnd is the first value in the list, the value of the second integral at lbnd is the second value, etc. If k == [] (the default), all ...
Read MoreWhat is the difference between Risk Acceptance and Risk Avoidance?
Risk AcceptanceRisk acceptance is also known as risk retention. It is simply accepting the recognized risk without taking any measures to avoid loss or the probability of the risk happening. It includes a decision by management to accept a given risk without more mitigation or transfer, for a period of time.This appears in two classes of circumstances. For risks that are too low to bother protecting against or for which insurance and due diligence are enough, risk is accepted. For risks that are to be mitigated but where mitigation cannot be completed instantaneously or for which rapid mitigation is too ...
Read MoreGenerate a Pseudo Vandermonde matrix of the Hermite_e polynomial and x, y, z complex array of points in Python
To generate a pseudo Vandermonde matrix of the Hermite_e polynomial and x, y, z sample points, use the hermite_e.hermevander3d() in Python Numpy. The method returns the pseudo- Vandermonde matrix. The parameter, x, y, z are arrays of point coordinates, all of the same shape. The dtypes will be converted to either float64 or complex128 depending on whether any of the elements are complex. Scalars are converted to 1-D arrays. The parameter, deg is the list of maximum degrees of the form [x_deg, y_deg, z_deg].StepsAt first, import the required library −import numpy as np from numpy.polynomial import hermite_e as HCreate arrays ...
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