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Предположим у вас есть полином. Существует численный метод для нахождения всех его корней РАЗОМ (ссылка на википедию).

На данной гифке как раз показывается этот метод, как точки сходятся ко всем корням.

Метод ОЧЕНЬ красивый. Предположим у вас есть полином четвёртой степени, тогда его можно представить как:

f(x) = (x-P)(x-Q)(x-R)(x-S)

если немного переписать, то будет:

P = x - f(x)/[(x-Q)(x-R)(x-S)]

Аналогично можно переписать для любого другого корня. На этом строится итеративный процесс одновременно для всех переменных, которые и будут являться корнями (см. картинку 2).

Гифка взята отсюда: https://twitter.com/gabrielpeyre/status/1771054198609818080



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Предположим у вас есть полином. Существует численный метод для нахождения всех его корней РАЗОМ (ссылка на википедию).

На данной гифке как раз показывается этот метод, как точки сходятся ко всем корням.

Метод ОЧЕНЬ красивый. Предположим у вас есть полином четвёртой степени, тогда его можно представить как:

f(x) = (x-P)(x-Q)(x-R)(x-S)

если немного переписать, то будет:

P = x - f(x)/[(x-Q)(x-R)(x-S)]

Аналогично можно переписать для любого другого корня. На этом строится итеративный процесс одновременно для всех переменных, которые и будут являться корнями (см. картинку 2).

Гифка взята отсюда: https://twitter.com/gabrielpeyre/status/1771054198609818080

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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. On Telegram’s website, it says that Pavel Durov “supports Telegram financially and ideologically while Nikolai (Duvov)’s input is technological.” Currently, the Telegram team is based in Dubai, having moved around from Berlin, London and Singapore after departing Russia. Meanwhile, the company which owns Telegram is registered in the British Virgin Islands. The perpetrators use various names to carry out the investment scams. They may also impersonate or clone licensed capital market intermediaries by using the names, logos, credentials, websites and other details of the legitimate entities to promote the illegal schemes. "The inflation fire was already hot and now with war-driven inflation added to the mix, it will grow even hotter, setting off a scramble by the world’s central banks to pull back their stimulus earlier than expected," Chris Rupkey, chief economist at FWDBONDS, wrote in an email. "A spike in inflation rates has preceded economic recessions historically and this time prices have soared to levels that once again pose a threat to growth." 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.
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