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вот сегодняшнее видео https://youtu.be/xyCGheZXlBQ?si=ixo_gRQjxz4Xq-45

и ссылки:

* статья Крейна про уравнения Маркова (Квант, 1985) https://kvant.mccme.ru/1985/04/diofantovo_uravnenie_aamarkova.htm

* доказательство Вильяма Чена для ℤₚ — на архиве https://arxiv.org/abs/2011.12940 и в Annals https://annals.math.princeton.edu/2024/199-1/p05

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In addition, Telegram now supports the use of third-party streaming tools like OBS Studio and XSplit to broadcast live video, allowing users to add overlays and multi-screen layouts for a more professional look. Telegram has gained a reputation as the “secure” communications app in the post-Soviet states, but whenever you make choices about your digital security, it’s important to start by asking yourself, “What exactly am I securing? And who am I securing it from?” These questions should inform your decisions about whether you are using the right tool or platform for your digital security needs. Telegram is certainly not the most secure messaging app on the market right now. Its security model requires users to place a great deal of trust in Telegram’s ability to protect user data. For some users, this may be good enough for now. For others, it may be wiser to move to a different platform for certain kinds of high-risk communications. "And that set off kind of a battle royale for control of the platform that Durov eventually lost," said Nathalie Maréchal of the Washington advocacy group Ranking Digital Rights. On December 23rd, 2020, Pavel Durov posted to his channel that the company would need to start generating revenue. In early 2021, he added that any advertising on the platform would not use user data for targeting, and that it would be focused on “large one-to-many channels.” He pledged that ads would be “non-intrusive” and that most users would simply not notice any change. Messages are not fully encrypted by default. That means the company could, in theory, access the content of the messages, or be forced to hand over the data at the request of a government.
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