✏️ Разбор задачи с экзамена ШАД
Условие: Непрерывная функция f(x) такова, что f(0)=f(2). Докажите, что для какого-то x ∈ [0,2] имеет место равенство f(x) = f(x-1).
Решение: Рассмотрим функцию
φ(1) = f(1) - f(0)
φ(2) = f(2) - f(1)
В силу равенства $f(0)=f(2)$ из условия, получим φ(1)=-φ(2). Функция φ(x) непрерывна на отрезке [1, 2], тогда по теореме Больцано-Коши о промежуточном значении найдется
Ответ:
Proglib Academy #буст
BY Proglib.academy | IT-курсы
The SSE was the first modern stock exchange to open in China, with trading commencing in 1990. It has now grown to become the largest stock exchange in Asia and the third-largest in the world by market capitalization, which stood at RMB 50.6 trillion (US$7.8 trillion) as of September 2021. Stocks (both A-shares and B-shares), bonds, funds, and derivatives are traded on the exchange. The SEE has two trading boards, the Main Board and the Science and Technology Innovation Board, the latter more commonly known as the STAR Market. The Main Board mainly hosts large, well-established Chinese companies and lists both A-shares and B-shares.
Telegram has made it easier for its users to communicate, as it has introduced a feature that allows more than 200,000 users in a group chat. However, if the users in a group chat move past 200,000, it changes into "Broadcast Group", but the feature comes with a restriction. Groups with close to 200k members can be converted to a Broadcast Group that allows unlimited members. Only admins can post in Broadcast Groups, but everyone can read along and participate in group Voice Chats," Telegram added.
Proglib academy | IT курсы from jp