\( \forall \alpha j 0 ) ( \exists a > 0 ) : | n - \frac { \pi } { 2 } | \leq a \Rightarrow | \cos ( n ) | \leq \alpha \)

The given statement is a logical statement involving quantifiers. Let's break it down: 1. \( \forall \alpha \in \mathbb{R} \) (For all real numbers \( \alpha \)): 2. \( \exists a > 0 \) (There exists a positive real number \( a \)): 3. \( | n - \frac{\pi}{2} | \leq a \) (The absolute value of \( n - \frac{\pi}{2} \) is less than or equal to \( a \)): 4. \( \Rightarrow | \cos(n) | \leq \alpha \) (This implies that the absolute value of \( \cos(n) \) is less than or equal to \( \alpha \)). This statement is saying that for any real number \( \alpha \), there exists a positive real number \( a \) such that the absolute value of \( n - \frac{\pi}{2} \) is less than or equal to \( a \), which in turn implies that the absolute value of \( \cos(n) \) is less than or equal to \( \alpha \). If you have any specific questions or need further clarification on this statement, please let me know!