algebraic differenceの例文

例文

1. By a " system of algebraic difference " equations over K one means any subset F of K \ { y \ }.
2. While some real life problems, such as population dynamics, can be modeled by algebraic difference equations, difference algebra also has applications in pure mathematics.
3. Intuitively, a " difference variety " over a difference field K is the set of solutions of a system of algebraic difference equations over K.
4. There is a one-to-one correspondence between the difference varieties defined by algebraic difference equations in the variables y _ 1, \ ldots, y _ n and certain ideals in K \ { y \ }, namely the perfect difference ideals of K \ { y \ }.