birational equivalence

例句：

1. 1. In the context of linear programming, birational equivalence is a key concept that allows us to solve optimization problems efficiently.
   在线性规划的背景下，双有理等价是一个关键概念，它允许我们高效地解决优化问题。
2. 2. The birational equivalence between two polynomials A(x) and B(x) is afundamental property of polynomials that underlies many mathematical theories.
   两个多项式A(x)和B(x)之间的双有理等价是多项式的基本属性，它支撑了许多数学理论。
3. 3.The birational equivalence between two geometric objects can be used to establish their relationship in a coordinate-free manner.
   两个几何对象的双有理等价可以用来建立它们在坐标无关方式下的关系。