Завершился кубок Колмогорова личной олимпиадой 🥇Публикуем ее условия 📝
Задача. Трапеция 𝐴𝐵𝐶𝐷 с основаниями 𝐴𝐷 и 𝐵𝐶 вписана в окружность 𝜔. Диагонали трапеции пересекаются в точке 𝐾. На лучах 𝐾𝐴 и 𝐾𝐵 выбраны точки 𝑋 и 𝑌 соответственно так, что отрезок 𝑋𝑌 касается 𝜔 в своей середине 𝑍. Докажите, что 𝑍 лежит на продолжении средней линии трапеции 𝐴𝐵𝐶𝐷.
Завершился кубок Колмогорова личной олимпиадой 🥇Публикуем ее условия 📝
Задача. Трапеция 𝐴𝐵𝐶𝐷 с основаниями 𝐴𝐷 и 𝐵𝐶 вписана в окружность 𝜔. Диагонали трапеции пересекаются в точке 𝐾. На лучах 𝐾𝐴 и 𝐾𝐵 выбраны точки 𝑋 и 𝑌 соответственно так, что отрезок 𝑋𝑌 касается 𝜔 в своей середине 𝑍. Докажите, что 𝑍 лежит на продолжении средней линии трапеции 𝐴𝐵𝐶𝐷.
Telegram does offer end-to-end encrypted communications through Secret Chats, but this is not the default setting. Standard conversations use the MTProto method, enabling server-client encryption but with them stored on the server for ease-of-access. This makes using Telegram across multiple devices simple, but also means that the regular Telegram chats you’re having with folks are not as secure as you may believe. Russian President Vladimir Putin launched Russia's invasion of Ukraine in the early-morning hours of February 24, targeting several key cities with military strikes. The S&P 500 fell 1.3% to 4,204.36, and the Dow Jones Industrial Average was down 0.7% to 32,943.33. The Dow posted a fifth straight weekly loss — its longest losing streak since 2019. The Nasdaq Composite tumbled 2.2% to 12,843.81. Though all three indexes opened in the green, stocks took a turn after a new report showed U.S. consumer sentiment deteriorated more than expected in early March as consumers' inflation expectations soared to the highest since 1981. Asked about its stance on disinformation, Telegram spokesperson Remi Vaughn told AFP: "As noted by our CEO, the sheer volume of information being shared on channels makes it extremely difficult to verify, so it's important that users double-check what they read." I want a secure messaging app, should I use Telegram?
from es
