Introduction to the Fermi Paradox The Fermi Paradox, proposed by renowned physicist Enrico Fermi, presents a profound contradiction between our astronomical observations and the expectation of alien life. The universe, vast and teeming with stars akin to our Sun, many orbited by potentially life-sustaining planets, stands in unsettling silence.
Have you ever set a goal for how many books you want to read in a year? If so, you’re not alone. Many people set that goal and some even compete with each other to see who can read the most books. To achieve the goal or win the competition, a lot of people would read as fast as they can.
Nowadays TODO management apps are everywhere. From giant tech companies to emerging individual developers, everyone is creating TODO apps. Even some programming tutorials are about how to create a TODO app. The reason behind its popularity is obvious: almost everyone needs a TODO app.
Introduction Recently I encountered a leetcode problem called Majority Element, there are multiple ways to solve it, the most efficient of them all is called the Boyer-Moore Majority Voting Algorithm, whose time complexity is $O(n)$ and space complexity is $O(1)$. There are many posts online talking about the algorithm, but most of them don’t give a concrete mathematical proof of it.