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Нарисован слева набор точек на плоскости, среди которых много пар точек на расстроянии 1. И справа вторая картинка с примерами.

Человечеству до сих пор неизвестно, сколько цветов нужно, чтобы покрасить точки плоскости так, чтобы не было точек одного цвета на расстоянии 1 (а вышеупомянутые графы помогают решать эту проблему).

Недавно (2018) биолог(!) доказал, что нужно не менее 5 цветов (популярное изложение).

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2.5K viewsDec 13, 2023 at 02:22

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Create: 2023-12-13
Last Update: 2024-12-23 19:57:07

Нарисован слева набор точек на плоскости, среди которых много пар точек на расстроянии 1. И справа вторая картинка с примерами.

Человечеству до сих пор неизвестно, сколько цветов нужно, чтобы покрасить точки плоскости так, чтобы не было точек одного цвета на расстоянии 1 (а вышеупомянутые графы помогают решать эту проблему).

Недавно (2018) биолог(!) доказал, что нужно не менее 5 цветов (популярное изложение).

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Date: 2024-12-23|

Now safely in France with his spouse and three of his children, Kliuchnikov scrolls through Telegram to learn about the devastation happening in his home country. At the start of 2018, the company attempted to launch an Initial Coin Offering (ICO) which would enable it to enable payments (and earn the cash that comes from doing so). The initial signals were promising, especially given Telegram’s user base is already fairly crypto-savvy. It raised an initial tranche of cash – worth more than a billion dollars – to help develop the coin before opening sales to the public. Unfortunately, third-party sales of coins bought in those initial fundraising rounds raised the ire of the SEC, which brought the hammer down on the whole operation. In 2020, officials ordered Telegram to pay a fine of $18.5 million and hand back much of the cash that it had raised. Two days after Russia invaded Ukraine, an account on the Telegram messaging platform posing as President Volodymyr Zelenskiy urged his armed forces to surrender. However, the perpetrators of such frauds are now adopting new methods and technologies to defraud the investors. The company maintains that it cannot act against individual or group chats, which are “private amongst their participants,” but it will respond to requests in relation to sticker sets, channels and bots which are publicly available. During the invasion of Ukraine, Pavel Durov has wrestled with this issue a lot more prominently than he has before. Channels like Donbass Insider and Bellum Acta, as reported by Foreign Policy, started pumping out pro-Russian propaganda as the invasion began. So much so that the Ukrainian National Security and Defense Council issued a statement labeling which accounts are Russian-backed. Ukrainian officials, in potential violation of the Geneva Convention, have shared imagery of dead and captured Russian soldiers on the platform.
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