И если мы обведём маленькую (по сравнению с длиной рукояти) кривую, ограничивающую площадь S, то топор вернётся не в исходное положение, а повернётся на какой-то угол. И угол этого поворота примерно равен S/L^2, где L — длина топорища!
Image credit: Mark Levi and Serge Tabachnikov, On bicycle tire tracks geometry, hatchet planimeter, Menzin’s conjecture and oscillation of unicycle tracks, Experiment. Math.18:2 (2009), pp. 173-186; цветная версия иллюстрации из препринта: https://arxiv.org/abs/0801.4396 .
И если мы обведём маленькую (по сравнению с длиной рукояти) кривую, ограничивающую площадь S, то топор вернётся не в исходное положение, а повернётся на какой-то угол. И угол этого поворота примерно равен S/L^2, где L — длина топорища!
Image credit: Mark Levi and Serge Tabachnikov, On bicycle tire tracks geometry, hatchet planimeter, Menzin’s conjecture and oscillation of unicycle tracks, Experiment. Math.18:2 (2009), pp. 173-186; цветная версия иллюстрации из препринта: https://arxiv.org/abs/0801.4396 .
Artem Kliuchnikov and his family fled Ukraine just days before the Russian invasion. Update March 8, 2022: EFF has clarified that Channels and Groups are not fully encrypted, end-to-end, updated our post to link to Telegram’s FAQ for Cloud and Secret chats, updated to clarify that auto-delete is available for group and channel admins, and added some additional links. Lastly, the web previews of t.me links have been given a new look, adding chat backgrounds and design elements from the fully-features Telegram Web client. Ukrainian forces have since put up a strong resistance to the Russian troops amid the war that has left hundreds of Ukrainian civilians, including children, dead, according to the United Nations. Ukrainian and international officials have accused Russia of targeting civilian populations with shelling and bombardments. Telegram users are able to send files of any type up to 2GB each and access them from any device, with no limit on cloud storage, which has made downloading files more popular on the platform.
from ye
