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В точке 0 находится пруд, и в момент времени 0 в точках 1,2,...,n сидит по черепахе. Каждую минуту каждая черепаха с вероятностью 1-p тратит на то чтоб переползти на 1 влево (а с вероятностью p сидит себе на месте). Это всё независимо по времени и по черепахам. Тогда вероятность того, что никакие черепахи не встретятся, пока не попадут в пруд, равна вот чему. Приветствуется как можно более ясное и простое доказательство.

Via

https://mathoverflow.net/q/469102/4312



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В точке 0 находится пруд, и в момент времени 0 в точках 1,2,...,n сидит по черепахе. Каждую минуту каждая черепаха с вероятностью 1-p тратит на то чтоб переползти на 1 влево (а с вероятностью p сидит себе на месте). Это всё независимо по времени и по черепахам. Тогда вероятность того, что никакие черепахи не встретятся, пока не попадут в пруд, равна вот чему. Приветствуется как можно более ясное и простое доказательство.

Via

https://mathoverflow.net/q/469102/4312

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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. "Markets were cheering this economic recovery and return to strong economic growth, but the cheers will turn to tears if the inflation outbreak pushes businesses and consumers to the brink of recession," he added. If you initiate a Secret Chat, however, then these communications are end-to-end encrypted and are tied to the device you are using. That means it’s less convenient to access them across multiple platforms, but you are at far less risk of snooping. Back in the day, Secret Chats received some praise from the EFF, but the fact that its standard system isn’t as secure earned it some criticism. If you’re looking for something that is considered more reliable by privacy advocates, then Signal is the EFF’s preferred platform, although that too is not without some caveats. Telegram was co-founded by Pavel and Nikolai Durov, the brothers who had previously created VKontakte. VK is Russia’s equivalent of Facebook, a social network used for public and private messaging, audio and video sharing as well as online gaming. In January, SimpleWeb reported that VK was Russia’s fourth most-visited website, after Yandex, YouTube and Google’s Russian-language homepage. In 2016, Forbes’ Michael Solomon described Pavel Durov (pictured, below) as the “Mark Zuckerberg of Russia.” During the operations, Sebi officials seized various records and documents, including 34 mobile phones, six laptops, four desktops, four tablets, two hard drive disks and one pen drive from the custody of these persons.
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