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Гомотопические группы локально конечных симплициальных множеств (в частности, конечных симплициальных комплексов) алгоритмически вычислимы (E. H. Brown).

Какая алгоритмическая сложность? Ответ зависит от того, насколько большим окажется ответ
https://kleinex.mit.edu/research/undergraduate/urop-plus/documents/2021/Allen.pdf

На второй картинке используются оценки Хуанга-Ву (на число прямых слагаемых) и Джеймса+Коэна-Мура-Нейзендорфера (на экспоненту): как следствие, порядок i-ой гомотопической группы любой нечетномерной сферы — это O(exp(i^2)).

см также:
https://www-fourier.ujf-grenoble.fr/~sergerar/Kenzo/



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Гомотопические группы локально конечных симплициальных множеств (в частности, конечных симплициальных комплексов) алгоритмически вычислимы (E. H. Brown).

Какая алгоритмическая сложность? Ответ зависит от того, насколько большим окажется ответ
https://kleinex.mit.edu/research/undergraduate/urop-plus/documents/2021/Allen.pdf

На второй картинке используются оценки Хуанга-Ву (на число прямых слагаемых) и Джеймса+Коэна-Мура-Нейзендорфера (на экспоненту): как следствие, порядок i-ой гомотопической группы любой нечетномерной сферы — это O(exp(i^2)).

см также:
https://www-fourier.ujf-grenoble.fr/~sergerar/Kenzo/

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The regulator said it had received information that messages containing stock tips and other investment advice with respect to selected listed companies are being widely circulated through websites and social media platforms such as Telegram, Facebook, WhatsApp and Instagram. Update March 8, 2022: EFF has clarified that Channels and Groups are not fully encrypted, end-to-end, updated our post to link to Telegram’s FAQ for Cloud and Secret chats, updated to clarify that auto-delete is available for group and channel admins, and added some additional links. The War on Fakes channel has repeatedly attempted to push conspiracies that footage from Ukraine is somehow being falsified. One post on the channel from February 24 claimed without evidence that a widely viewed photo of a Ukrainian woman injured in an airstrike in the city of Chuhuiv was doctored and that the woman was seen in a different photo days later without injuries. The post, which has over 600,000 views, also baselessly claimed that the woman's blood was actually makeup or grape juice. 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. 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.
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