Emily Rosemary Collins

💡 Problem Formulation: The Regula Falsi, or False Position method, is an iterative numerical procedure to find the root of a real-valued function. The article aims to model it in Python. Let’s consider finding the root of the function f(x) = x^2 – 3. The input could be an interval [a, b] where f(a) and … Read more

💡 Problem Formulation: The Newton-Raphson method is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real-valued function. Here, we explain how to implement this method in Python for the function f(x) = x^2 – k, where k is a given number and the output is an approximation of … Read more

💡 Problem Formulation: Understanding the dynamics of a projectile can be crucial for various applications, from sports to launching satellites. This article explores the computational approach to simulate projectile motion using Python, covering five different methods for modeling. For instance, given input parameters like initial velocity and angle of projection, the desired output would be … Read more

💡 Problem Formulation: Engineers and physicists often face the challenge of simulating thermodynamic processes to predict efficiency and perform energy analysis. One fundamental model is the Carnot cycle—a theoretical model that offers an idealized benchmark for heat engines. This article showcases how to model the Carnot cycle in Python, aiming to input temperature and heat … Read more

💡 Problem Formulation: When working with tuples of custom objects in Python, often there is a need to sort these objects not by their intrinsic value, but by their properties or attributes. For instance, given a tuple of employee objects, a typical requirement might be to sort them by an attribute like age or name. … Read more

💡 Problem Formulation: Tuples in Python are immutable, meaning that once a tuple is created, its elements cannot be changed. However, there are scenarios where you need to replace an element in a tuple with a new value. This article explores five methods for achieving this, in spite of tuples’ immutability. For instance, if you … Read more

💡 Problem Formulation: Python dictionaries are essential data structures that store elements in key-value pairs, enabling quick data access and management. In this article, we explore how to iterate through a dictionary to print out these pairs. Our goal is to convert an input dictionary such as {‘apple’: 1, ‘banana’: 2} into an output that … Read more

💡 Problem Formulation: When working with tuples in Python, a common task is to find out whether a particular element exists within it. For example, given the tuple my_tuple = (1, 2, 3, 4, 5), one may need to check if the value 3 is present. This article showcases five methods for accomplishing this task, … Read more

💡 Problem Formulation: When working with tuples in Python, a common task is to identify the largest element within them. For instance, given a tuple (3, 65, 33, 21), the desired output would be the maximum value 65. In this article, we explore various methods to find the largest element in a tuple easily and … Read more

💡 Problem Formulation: Adding elements to a linked list at the first and last positions in Python can be crucial for various data structure manipulations. A linked list is a sequential collection of elements where each element points to the next one. In this article, we explore how to insert a new element at the … Read more

💡 Problem Formulation: You might be working with a tuple in Python that needs to be passed into a function as arguments. For instance, if you have a tuple like (1, 2, 3), and a function that accepts three arguments, how do you pass the elements of the tuple into this function efficiently? This article … Read more

💡 Problem Formulation: In Python programming, it’s a common need to combine two tuples into a single tuple. Suppose we have two tuples, tuple1 = (1, 2, 3) and tuple2 = (4, 5, 6), and we want to merge them into a single tuple that looks like (1, 2, 3, 4, 5, 6). The following … Read more