Линейная алгебра: четыре разных подхода к одной задаче
В этой статье разберем четыре задачи из студенческих олимпиад по математике. Условие везде такое: возвести матрицу в какую-то большую степень. Но вместе с этим мы увидим, что в зависимости от того под каким углом посмотреть на задачу актуальными оказываются самые разные разделы линейной алгебры. Поехали!
Линейная алгебра: четыре разных подхода к одной задаче
В этой статье разберем четыре задачи из студенческих олимпиад по математике. Условие везде такое: возвести матрицу в какую-то большую степень. Но вместе с этим мы увидим, что в зависимости от того под каким углом посмотреть на задачу актуальными оказываются самые разные разделы линейной алгебры. Поехали!
'Wild West' For tech stocks, “the main thing is yields,” Essaye said. Right now the digital security needs of Russians and Ukrainians are very different, and they lead to very different caveats about how to mitigate the risks associated with using Telegram. For Ukrainians in Ukraine, whose physical safety is at risk because they are in a war zone, digital security is probably not their highest priority. They may value access to news and communication with their loved ones over making sure that all of their communications are encrypted in such a manner that they are indecipherable to Telegram, its employees, or governments with court orders. That hurt tech stocks. For the past few weeks, the 10-year yield has traded between 1.72% and 2%, as traders moved into the bond for safety when Russia headlines were ugly—and out of it when headlines improved. Now, the yield is touching its pandemic-era high. If the yield breaks above that level, that could signal that it’s on a sustainable path higher. Higher long-dated bond yields make future profits less valuable—and many tech companies are valued on the basis of profits forecast for many years in the future. He floated the idea of restricting the use of Telegram in Ukraine and Russia, a suggestion that was met with fierce opposition from users. Shortly after, Durov backed off the idea.
from nl