What does "Homotopy Approach" mean?
Table of Contents
The homotopy approach is a method used to solve complex problems in mathematics and physics. It focuses on transforming a difficult problem into a simpler one. By starting with an easier version of the problem, researchers can gradually make changes to reach the original problem.
How It Works
- Start Simple: Begin with an easier version of the problem to understand its basic features.
- Gradual Changes: Slowly modify the simpler problem, step by step, to connect it to the complex problem.
- Use Corrections: As adjustments are made, researchers apply corrections to account for more complex aspects of the situation.
Why It’s Useful
This method helps in dealing with problems that are hard to tackle directly. It allows researchers to break down complicated issues into manageable parts, making it easier to find solutions.