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 More

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 More

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 More

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 More

To get the Least squares fit of Hermite_e series to data, use the hermite_e.hermfit() method in Python numpy. The method returns the Hermite_e coefficients ordered from low to high. If y was 2- D, the coefficients for the data in column k of y are in column k. The parameter, x are the xcoordinates of the M sample (data) points (x[i], y[i]).The parameter, y are the y-coordinates of the sample points. Several sets of sample points sharing the same x-coordinates can be (independently) fit with one call to polyfit by passing in for y a 2-D array that contains one ... Read More

To return the scaled companion matrix of a 1-D array of polynomial coefficients, return the hermite_e.hermecompanion() method in Python Numpy. The basis polynomials are scaled so that the companion matrix is symmetric when c is an Hermite_e basis polynomial. This provides better eigenvalue estimates than the unscaled case and for basis polynomials the eigenvalues are guaranteed to be real if numpy.linalg.eigvalsh is used to obtain them.The method returns the Scaled companion matrix of dimensions (deg, deg). The parameter, c is a 1- D array of Hermite series coefficients ordered from low to high degree.StepsAt first, import the required library −import ... Read More

Title() is a built-in function of strings package in Golang that is used to convert a string into Title Case. It converts the first character of each word in a given string into uppercase and returns the modified string.Syntaxfunc Title(s string) stringWhere s is the given string.Example 1Let us consider the following example −package main import (    "fmt"    "strings" ) func main() {    // Intializing the Strings    m := "title string function"    n := "Golang string package fUNCTION"    // Display the Strings    fmt.Println("String 1:", m)    fmt.Println("String 2:", n)    // ... Read More

strings.SplitAfter() is a built-in function in Golang that is used to break a string into a slice. SplitAfter is different from other Split functions. Here, we slice a given string into substrings after each instance of separators and it returns a slice of those substrings.Syntaxfunc SplitAfter(S String, sep string) []stringWhere s is the given string and sep is the separator string.Example 1Consider the following example −package main import (    "fmt"    "strings" ) func main() {    // Intializing the Strings    x := "Golang Program of SplitAfter Function"    y := "1.2.3.4.5.6.7.8"        // Display the ... Read More

strings.SplitN() is a built-in function in Golang that is used to split a given string into substrings by the given separator. It returns the slices of the substrings between those separators.Syntaxfunc SplitN(str, sep string, n int) []stringWhere, str is the given input string, sep is the separator string, andn defines the number of substrings that is to be returned.Example 1Consider the following example −package main import (    "fmt"    "strings" ) func main() {    // Intializing the Strings    p := "1, 2, 3, 4, 5, 6, 7"    q := "Welcome to Golang Programming Language"    r := ... Read More

strings.Split() is used to break a string into a list of substrings using a specified delimiter. It returns the substrings in the form of a slice.SyntaxThe syntax of strings.Split() is as follows −func Split(S string, sep string) []stringWhere s is the given string and sep is the delimiter (separator) string. It returns the substrings.Example 1Let us consider the following example −package main import (    "fmt"    "strings"    "regexp" ) func main() {    // Intializing the Strings    p := "oopsfunctions"    q := "GoLang language"    // Display the Strings    fmt.Println("String 1:", p)    fmt.Println("String ... Read More