Question

 Find equation in equation where d is the metric given by equation

19 Feb 2025
Answer :
Word Count : 236
The expression \( B\left[2, \frac{1}{2}\right] \) refers to a closed ball centered at \( 2 \) with a radius of \( \frac{1}{2} \) in the metric space \(\mathbb{R}\) with the given metric: \[ d(x,y) = \min\{1, |x - y|\} \] To find the set \( B\left[2, \frac{1}{2}\right] \), we need to determine all points \( x \in \mathbb{R} \) __________ ___ _______ __________ _________ __________ ________ _______ __________.
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