На торе длина кратчайшей нестягиваемой геодезической оценивается сверху через корень из площади тора. >> In the early 80’s, Gromov formulated several remarkable metaphors connecting the systolic inequality to important ideas in other areas of geometry. With the help of these metaphors, he proved the systolic inequality... Each metaphor gives an approach to proving the systolic inequality - a way to get started.
The goal of this essay is to explain Gromov’s metaphors... Gromov’s metaphors connect the systolic problem to the following areas:
1. General isoperimetric inequalities from geometric measure theory. (Work of Federer-Fleming, Michael-Simon, Almgren. Late 50’s to mid 80’s.)
На торе длина кратчайшей нестягиваемой геодезической оценивается сверху через корень из площади тора. >> In the early 80’s, Gromov formulated several remarkable metaphors connecting the systolic inequality to important ideas in other areas of geometry. With the help of these metaphors, he proved the systolic inequality... Each metaphor gives an approach to proving the systolic inequality - a way to get started.
The goal of this essay is to explain Gromov’s metaphors... Gromov’s metaphors connect the systolic problem to the following areas:
1. General isoperimetric inequalities from geometric measure theory. (Work of Federer-Fleming, Michael-Simon, Almgren. Late 50’s to mid 80’s.)
In December 2021, Sebi officials had conducted a search and seizure operation at the premises of certain persons carrying out similar manipulative activities through Telegram channels. Telegram has become more interventionist over time, and has steadily increased its efforts to shut down these accounts. But this has also meant that the company has also engaged with lawmakers more generally, although it maintains that it doesn’t do so willingly. For instance, in September 2021, Telegram reportedly blocked a chat bot in support of (Putin critic) Alexei Navalny during Russia’s most recent parliamentary elections. Pavel Durov was quoted at the time saying that the company was obliged to follow a “legitimate” law of the land. He added that as Apple and Google both follow the law, to violate it would give both platforms a reason to boot the messenger from its stores. Although some channels have been removed, the curation process is considered opaque and insufficient by analysts. But because group chats and the channel features are not end-to-end encrypted, Galperin said user privacy is potentially under threat. 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.
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