Вот если m=(2^k-1)x — чётное целое число, то рассмотрим последовательность x,2x,4x,...,2^{k-1}x по модулю 2, выбирая остаток из (-1,1). Их можно явно выписать через двоичные цифры числа m. Получим k чисел из (-1,1), их сумма равна, как несложно убедиться, 0. Всегда ли, интересуются коллеги, можно их пронумеровать таким манером, чтобы частичные суммы были в полуинтервале [0,1)?
Вот если m=(2^k-1)x — чётное целое число, то рассмотрим последовательность x,2x,4x,...,2^{k-1}x по модулю 2, выбирая остаток из (-1,1). Их можно явно выписать через двоичные цифры числа m. Получим k чисел из (-1,1), их сумма равна, как несложно убедиться, 0. Всегда ли, интересуются коллеги, можно их пронумеровать таким манером, чтобы частичные суммы были в полуинтервале [0,1)?
Since January 2022, the SC has received a total of 47 complaints and enquiries on illegal investment schemes promoted through Telegram. These fraudulent schemes offer non-existent investment opportunities, promising very attractive and risk-free returns within a short span of time. They commonly offer unrealistic returns of as high as 1,000% within 24 hours or even within a few hours. At its heart, Telegram is little more than a messaging app like WhatsApp or Signal. But it also offers open channels that enable a single user, or a group of users, to communicate with large numbers in a method similar to a Twitter account. This has proven to be both a blessing and a curse for Telegram and its users, since these channels can be used for both good and ill. Right now, as Wired reports, the app is a key way for Ukrainians to receive updates from the government during the invasion. Pavel Durov, a billionaire who embraces an all-black wardrobe and is often compared to the character Neo from "the Matrix," funds Telegram through his personal wealth and debt financing. And despite being one of the world's most popular tech companies, Telegram reportedly has only about 30 employees who defer to Durov for most major decisions about the platform. Groups are also not fully encrypted, end-to-end. This includes private groups. Private groups cannot be seen by other Telegram users, but Telegram itself can see the groups and all of the communications that you have in them. All of the same risks and warnings about channels can be applied to groups. There was another possible development: Reuters also reported that Ukraine said that Belarus could soon join the invasion of Ukraine. However, the AFP, citing a Pentagon official, said the U.S. hasn’t yet seen evidence that Belarusian troops are in Ukraine.
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