Let \( S_{1}, S_{2} \) and \( S_{3} \) be three sets defined as :
\( S_{1} = \{ z \in \mathbb{C} : |z - 1| \le \sqrt{2} \} \)
\( S_{2} = \{ z \in \mathbb{C} : \mathrm{Re}((1-i)z) \ge 1 \} \)
\( S_{3} = \{ z \in \mathbb{C} : \mathrm{Im}(z) \le 1 \} \)
Then the set \( S_{1} \cap S_{2} \cap S_{3} \) :
