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.)
Following this, Sebi, in an order passed in January 2022, established that the administrators of a Telegram channel having a large subscriber base enticed the subscribers to act upon recommendations that were circulated by those administrators on the channel, leading to significant price and volume impact in various scrips. It is unclear who runs the account, although Russia's official Ministry of Foreign Affairs Twitter account promoted the Telegram channel on Saturday and claimed it was operated by "a group of experts & journalists." Some privacy experts say Telegram is not secure enough Russians and Ukrainians are both prolific users of Telegram. They rely on the app for channels that act as newsfeeds, group chats (both public and private), and one-to-one communication. Since the Russian invasion of Ukraine, Telegram has remained an important lifeline for both Russians and Ukrainians, as a way of staying aware of the latest news and keeping in touch with loved ones. But because group chats and the channel features are not end-to-end encrypted, Galperin said user privacy is potentially under threat.
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