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Articles by Niharika Aitam
Page 4 of 14
Differentiate a Hermite_e series and set the derivatives in Python
Hermite_e series is also known as probabilist's Hermite polynomial or the physicist's Hermite polynomial the available in mathematics which is used to sum of the weighted hermites polynomials. In some particular cases of the quantum mechanics, the Hermite_e series the weight function is given as e^(−x^2). The following is the formula for Hermite_e series. H_n(x) = (-1)^n e^(x^2/2) d^n/dx^n(e^(-x^2/2)) Where, H_n(x) is the nth Hermite polynomial of degree n x is the independent variable d^n/dx^n denotes the nth derivative with respect to x. Defining the coefficients To perform differentiation of the Hermite_e series first we have ...
Read MoreDivide a DataFrame in a ratio
Pandas library is used to manipulate the data and analyze the data. The data will be created using the pandas library in two ways Dataframe and Series. A DataFrame is the two dimensional data structure containing the rows and columns. There different ways to divide the DataFrame data based on the ratio. Let’s see them one by one. Using np.random.rand() Using pandas.DataFrame.sample() Using numpy.split() Using numpy.random.rand() In the following example, we will divide the dataframe data into parts by defining the ratio using the randm.rand() function. If we want to divide the data in the percentage of ...
Read MoreDivide each row by a vector element using NumPy
We can divide each row of the Numpy array by a vector element. The vector element can be a single element, multiple elements or an array. After dividing the row of an array by a vector to generate the required functionality, we use the divisor (/) operator. The division of the rows can be into 1−d or 2−d or multiple arrays. There are different ways to perform the division of each row by a vector element. Let’s see each way in detail. Using broadcasting using divide() function Using apply_along_axis() function Using broadcasting Broadcasting is the method available ...
Read MoreDifferentiate Hermite series and multiply each differentiation by scalar using NumPy in Python
Hermite_e series is also known as probabilist's Hermite polynomial or the physicist's Hermite polynomial. It is available in mathematics which is used to calculate the sum of weighted hermites polynomials. In some particular cases of the quantum mechanics, the Hermite_e series the weight function is given as e^(−x^2). Calculating Hermite_e series The following is the formula for Hermite_e series. H_n(x) = (−1)^n\:e^(x^2/2)\:d^n/dx^n(e^(−x^2/2)) Where, H_n(x) is the nth Hermite polynomial of degree n x is the independent variable d^n/dx^n denotes the nth derivative with respect to x. In Numpy library we have the function namely, polynomial.hermite.hermder() to ...
Read MoreDigital Band Pass Butterworth Filter in Python
A Band pass filter is the filter which passes the frequencies within the given range of frequencies and rejects the frequencies which are outside the defined range. The Butterworth band pass filter designed to have the frequency response flat as much as possible to be in the pass band. The following are the specifications of the digital band pass butter worth filter. The sampling rate of the filter is around 40 kHz. The pass band edge frequencies are in the range of 1400 Hz to 2100 Hz. The stop band edge frequencies are within the range of 1050 Hz ...
Read MoreDifferent ways to access Instance Variable in Python
The Instance variables are generally used to represent the state or attributes of an object. Each instance of a class can have its own set of instance variables, which can store unique values. An instance variable is defined within the methods of a class and is accessible throughout the instance's lifespan. Accessing the instance variable in python The flexibility that comes with usage of instance variables allows each instance to maintain its own set of variables, enabling customized behaviour and data storage for different objects. Thus, accessing instance variables in python is a useful step.There are different ways to ...
Read MoreDifferent ways of sorting Python Dictionary by Keys
Sorting refers as the technique to arrange the elements in the defined order. There are different ways to sort the dictionary by keys in python. In this article we are going to learn those. Using sorted() function The sorted() function is used to sort the elements in the iterable data structures like tuple, dictionary, list etc. This function takes the iterable as the argument and returns the new sorted list containing the sorted elements as the output. Following is the syntax for using the sorted() function on dictionary. sorted(dictionary.keys()) Where, sorted is the function used to sort ...
Read MoreDifferent Types of Joins in Pandas
Pandas is one of the popular libraries used to perform data analysis and data manipulation. There are many advanced features to work with the tabular data such as join multiple data frames into one depending upon the common columns or indices of columns. In python, there are different types of joins available which can be performed by using the merge() function along with the how parameter of the pandas library. Following are the different joins. Inner Join Outer Join Left Join Right Join Cross Join Inner Join An Inner Join in the pandas library will return the rows ...
Read MoreDifferent plotting using pandas and matplotlib
Pandas and Matplotlib are the libraries available in python to perform data analysis and visualization for the given input data. Following are some different plots that can be plotted using the pandas and matplotlib libraries. Using Line Plot The line plot is the simplest plot to visualize the data over the time; this plot can be plotted using the pandas and matplotlib libraries. We have the plot() function available in the matplotlib library to plot the line plot. Following is the syntax. import matplotlib.pyplot as plt plt.plot(x, y) Where, matplotlib.pylot is the library. plt is the alias ...
Read MoreDifferent Input and Output Techniques in Python3
Input and Output are the important operations to be performed in the programming language which allows the users to interact with program. Input implies the data or information provided to the program from the external source. Output is the way we display the processed data or information generated by the program to the given input data. There are different techniques in python for using the input and output, let’s see them one by one. Different types of Input Techniques The following are the input techniques that we can use to pass the input to the python program. Standard Input The ...
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