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и вот ещё вопрос по теории чисел: всегда раздражало меня, что нет тождеств для log(A)*log(B) ну то есть можно написать что-то нелепое вроде log(A^log(B)) но это не то. Про синусы есть тождества, про полиномы есть, про факториалы есть, а про логарифмы — нет.

Бывают ли вообще формулы, где встречаются произведения логарифмов?

Типа, может Рамануджан придумал что-нибудь, не знаю, типа просуммировать log(sin(n))*log(cos(n)) и красивое получить.

Видимо, эквивалентный вопрос — это бывают ли формулы, где появляется e^e^{...}



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и вот ещё вопрос по теории чисел: всегда раздражало меня, что нет тождеств для log(A)*log(B) ну то есть можно написать что-то нелепое вроде log(A^log(B)) но это не то. Про синусы есть тождества, про полиномы есть, про факториалы есть, а про логарифмы — нет.

Бывают ли вообще формулы, где встречаются произведения логарифмов?

Типа, может Рамануджан придумал что-нибудь, не знаю, типа просуммировать log(sin(n))*log(cos(n)) и красивое получить.

Видимо, эквивалентный вопрос — это бывают ли формулы, где появляется e^e^{...}

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What distinguishes the app from competitors is its use of what's known as channels: Public or private feeds of photos and videos that can be set up by one person or an organization. The channels have become popular with on-the-ground journalists, aid workers and Ukrainian President Volodymyr Zelenskyy, who broadcasts on a Telegram channel. The channels can be followed by an unlimited number of people. Unlike Facebook, Twitter and other popular social networks, there is no advertising on Telegram and the flow of information is not driven by an algorithm. Telegram has gained a reputation as the “secure” communications app in the post-Soviet states, but whenever you make choices about your digital security, it’s important to start by asking yourself, “What exactly am I securing? And who am I securing it from?” These questions should inform your decisions about whether you are using the right tool or platform for your digital security needs. Telegram is certainly not the most secure messaging app on the market right now. Its security model requires users to place a great deal of trust in Telegram’s ability to protect user data. For some users, this may be good enough for now. For others, it may be wiser to move to a different platform for certain kinds of high-risk communications. And indeed, volatility has been a hallmark of the market environment so far in 2022, with the S&P 500 still down more than 10% for the year-to-date after first sliding into a correction last month. The CBOE Volatility Index, or VIX, has held at a lofty level of more than 30. Following this, Sebi, in an order passed in January 2022, established that the administrators of a Telegram channel having a large subscriber base enticed the subscribers to act upon recommendations that were circulated by those administrators on the channel, leading to significant price and volume impact in various scrips. Oh no. There’s a certain degree of myth-making around what exactly went on, so take everything that follows lightly. Telegram was originally launched as a side project by the Durov brothers, with Nikolai handling the coding and Pavel as CEO, while both were at VK.
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