“If you’re waking up in pain, that’s a big red flag,” said Heather Jeffcoat, DPT, physical therapist and owner of Fusion Wellness & Femina Physical Therapy. Any pain should be investigated, but she advises trying to adjust your sleeping position or switching out pillows before buying a new mattress, as those tweaks cost much less than a new bed. You can also take note of whether you feel less stiff when sleeping in a hotel or on someone else’s mattress.
The Formalization ProcessIn 2024, the project to formalize the 8-dimensional solution was launched jointly by Sidharth Hariharan and Maryna Viazovska. Together with Chris Birkbeck, Seewoo Lee, Gareth Ma and Bhavik Mehta, they wrote a detailed blueprint and developed an extensive codebase consisting of new definitions and theorems about sphere packings, lattices, and (quasi)modular forms that were absent from Mathlib.
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