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к теме вычислений. сегодня дошло, что "лобовое рассуждение" надо читать как "diagram chasing", то есть вместо него можно полтора* раза сослаться на 5-лемму.
доказательство стало понятнее, но длиннее на 77%. примерно как то самое "Гротендик упростил 80-страничную статью Серра, превратив ее в тысячестраничную EGA"
*как известно, 5-лемма состоит из двух 4-лемм. здесь надо два раза сослаться на первую и один раз на вторую
к теме вычислений. сегодня дошло, что "лобовое рассуждение" надо читать как "diagram chasing", то есть вместо него можно полтора* раза сослаться на 5-лемму.
доказательство стало понятнее, но длиннее на 77%. примерно как то самое "Гротендик упростил 80-страничную статью Серра, превратив ее в тысячестраничную EGA"
*как известно, 5-лемма состоит из двух 4-лемм. здесь надо два раза сослаться на первую и один раз на вторую
Telegram does offer end-to-end encrypted communications through Secret Chats, but this is not the default setting. Standard conversations use the MTProto method, enabling server-client encryption but with them stored on the server for ease-of-access. This makes using Telegram across multiple devices simple, but also means that the regular Telegram chats you’re having with folks are not as secure as you may believe. Overall, extreme levels of fear in the market seems to have morphed into something more resembling concern. For example, the Cboe Volatility Index fell from its 2022 peak of 36, which it hit Monday, to around 30 on Friday, a sign of easing tensions. Meanwhile, while the price of WTI crude oil slipped from Sunday’s multiyear high $130 of barrel to $109 a pop. Markets have been expecting heavy restrictions on Russian oil, some of which the U.S. has already imposed, and that would reduce the global supply and bring about even more burdensome inflation. In 2014, Pavel Durov fled the country after allies of the Kremlin took control of the social networking site most know just as VK. Russia's intelligence agency had asked Durov to turn over the data of anti-Kremlin protesters. Durov refused to do so. The channel appears to be part of the broader information war that has developed following Russia's invasion of Ukraine. The Kremlin has paid Russian TikTok influencers to push propaganda, according to a Vice News investigation, while ProPublica found that fake Russian fact check videos had been viewed over a million times on Telegram. Meanwhile, a completely redesigned attachment menu appears when sending multiple photos or vides. Users can tap "X selected" (X being the number of items) at the top of the panel to preview how the album will look in the chat when it's sent, as well as rearrange or remove selected media.
from vn
