1. Introduction  

2. Newton Polytope  

5. Ring of Conditions in the Torus \((\mathbb{C}^{*})^{n}\)  

6. Weighted Fans and Balancing Condition  

8. Intersection of Balanced Fans  

11. The BKK Theorem Revisited  

12. Ring of Conditions and Balanced Fans  

13. Algebra Associated to a Polynomial  

14. Polytope Algebra and Ring of Conditions  