So, my fellow mathematicians, as we explore the intricacies of local and global phenomena, let us not forget the importance of the modulus of continuity. It unveils the hidden symmetries and regularities within mathematical objects, enlightening us with a deeper understanding of their behavior on both microscopic and macroscopic scales. Embrace the elegance of mathematics, my friends, for it reveals the beauty that lies within the realms of local and global perspectives.

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