Instead of representing states explicitly, we may represent a world using variables: A state is described by a set of variables (i.e., features, attributes). We use capital letters, e.g., X, to represent variables. Each variable X can take a value from its domain D. A factored representation consists of a set of variables X1, X2, . . . , Xk where each variable Xi is associated with a domain Di A candidate solution (or assignment) of a set of variables is a function that maps each variable in the set with a value in its domain. Let Ω be the set of all candidate solutions.理解分析这些内容

这段话讨论了一种描述状态的方式，即使用变量来表示一个世界。每个状态由一组变量描述，每个变量都可以从其域中取值。这个表示方法称为分解表示，由一组变量X1，X2，...，Xk组成，其中每个变量Xi都与域Di相关联。候选解决方案是将变量集中每个变量映射到其域中的值的函数。所有候选解决方案的集合称为Ω。这种表示方法可以用于描述各种问题，如搜索、规划等。