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 .
In addition, Telegram's architecture limits the ability to slow the spread of false information: the lack of a central public feed, and the fact that comments are easily disabled in channels, reduce the space for public pushback. But Kliuchnikov, the Ukranian now in France, said he will use Signal or WhatsApp for sensitive conversations, but questions around privacy on Telegram do not give him pause when it comes to sharing information about the war. "Your messages about the movement of the enemy through the official chatbot … bring new trophies every day," the government agency tweeted. On Telegram’s website, it says that Pavel Durov “supports Telegram financially and ideologically while Nikolai (Duvov)’s input is technological.” Currently, the Telegram team is based in Dubai, having moved around from Berlin, London and Singapore after departing Russia. Meanwhile, the company which owns Telegram is registered in the British Virgin Islands. In February 2014, the Ukrainian people ousted pro-Russian president Viktor Yanukovych, prompting Russia to invade and annex the Crimean peninsula. By the start of April, Pavel Durov had given his notice, with TechCrunch saying at the time that the CEO had resisted pressure to suppress pages criticizing the Russian government.
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