Howto

💡 Problem Formulation: Solving non-linear equations is a common problem in numerical analysis. The secant method is an iterative technique used to find the roots of a function by iteratively narrowing down an interval containing the root. The input is a continuous function f and two initial guesses x0 and x1 close to the root, … Read more

💡 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: Creating Venn diagrams is fundamental for illustrating relationships and intersections of datasets in a visual format. In Python, users often seek to visualize the overlap between several groups with labelled circles for comparison. This article aims to teach various methods to generate and personalize these diagrams, starting from the input of dataset … 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: In data analysis, an ogive graph is a useful tool for visualizing the cumulative frequency of a dataset. It helps in understanding the distribution and quantiles. The task is to create an ogive from a given set of numerical data using Python. Our input would be a list of numbers and the … 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: This article provides a comprehensive guide for readers looking to create a web-based Body Mass Index (BMI) calculator. It uses Python, along with the PyWebIO module, to develop a simple, yet functional application. The BMI is calculated by dividing a person’s weight in kilograms by the square of their height in meters. … 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: Python’s list comprehensions provide a compact syntax for creating lists. However, handling exceptions within them can be tricky. If you’re iterating over a collection and applying an operation that might throw an exception (like a division by zero or a key lookup in a dictionary), you need a way to gracefully manage … 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: Anagrams are words that are formed by rearranging the letters of another, such as ‘listen’ and ‘silent’. The task at hand is to find the size of the largest subset of anagram words within a given list of words. For instance, given the input [‘cat’, ‘dog’, ‘tac’, ‘god’, ‘act’], the desired output … 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