\( A \times B \cdot \{ ( x , y ) / y = 2 n + 5 n x , y \in w \} \)

It seems like you're trying to express a mathematical concept involving sets and possibly Cartesian products. Let's break down the notation you've provided: 1. **\( A \times B \)**: This typically denotes the Cartesian product of sets \( A \) and \( B \). The Cartesian product \( A \times B \) consists of all ordered pairs \( (a, b) \) where \( a \in A \) and \( b \in B \). 2. **\( \{ (x, y) / y = 2n + 5nx, y \in w \} \)**: This appears to define a set of ordered pairs \( (x, y) \) such that \( y \) is expressed in terms of \( x \) and \( n \), where \( n \) is likely an integer (since it is common to denote integers with \( n \)). The condition \( y \in w \) suggests that \( y \) must also belong to some set \( w \). To clarify the expression, we can rewrite it in a more standard mathematical notation: \[ A \times B \cdot \{ (x, y) \mid y = 2n + 5nx, y \in w \} \] This means you are considering the Cartesian product of \( A \) and \( B \) with the set of pairs \( (x, y) \) defined by the equation \( y = 2n + 5nx \) for some integer \( n \), and where \( y \) also belongs to the set \( w \). If you have specific sets \( A \), \( B \), and \( w \), or if you need to perform a specific operation with this expression, please provide more details so I can assist you further!