Which type of Modelling Are you asking about?

Algorithm Design and Analysis:

• Time and Space Complexity: Mathematicians and computer scientists analyze algorithms to determine their efficiency in terms of time and space resources. This involves using techniques like asymptotic analysis (Big O notation) to identify the best algorithms for specific tasks.
• Graph Theory: Graph theory provides mathematical tools to model and analyze networks, which are essential in many programming applications, from social networks to transportation systems. Optimizing graph-based algorithms often involves finding shortest paths, maximum flows, or minimum spanning trees.

2. Machine Learning and Artificial Intelligence:

• Optimization Algorithms: Machine learning algorithms, such as gradient descent and stochastic gradient descent, rely on mathematical optimization techniques to minimize error functions and find optimal parameter values.
• Statistical Modeling: Statistical models, like linear regression and logistic regression, are used to analyze data and make predictions. These models often involve solving optimization problems to find the best-fitting parameters.

3. Game Development:

• Physics Engines: Physics engines simulate real-world physical phenomena, such as gravity, collisions, and fluid dynamics. These simulations often rely on mathematical models and numerical methods to optimize performance and accuracy.
• Pathfinding Algorithms: Pathfinding algorithms, like A* search, are used to find the shortest or most efficient path between two points in a game world. These algorithms often involve mathematical techniques like graph theory and heuristic functions.

4. Computer Graphics:

• Ray Tracing: Ray tracing is a rendering technique that simulates the behavior of light to create realistic images. It involves solving complex mathematical equations to determine the color and intensity of light rays as they interact with surfaces.
• 3D Modeling: 3D modeling relies on mathematical concepts like linear algebra and geometry to represent and manipulate 3D objects.