Written by: Oscar Lee Start with any positive integer. If it’s even, divide it by 2; if it’s odd, multiply it by 3 and add 1. Keep repeating this process, and (mathematicians think) you will eventually reach the number 1. This
Written by: Jaylin Park Introduction “Beautiful” is probably one of the first words that comes to mind when one is asked to describe nature. Flowers, leaves, crystals, snowflakes, even shells, are all considered beautiful. People often put these as their screen backgrounds for a reason.
Information Theory and Its Real World Applications Written by: Pranshu Nautiyal Introduction One of the most qualitative measures of recent centuries is information and how it is stored. Information theory lets us see how information can be a qualitative data factor, and how to reduce
Written By: Shihan Cheng Poker is a game of incomplete information. Players must make decisions with uncertainty, ultimately relying on probabilistic outcomes to determine the winner of a round. Unlike popular games such as chess or Go, Poker has the element of hidden cards and
Written by: Meghna Manoj “There is geometry in the humming of the strings, there is music in the spacing of the spheres.” –Pythagoras Introduction Math is deeply intertwined with music, from the most basic to complicated concepts, like keys, ‘beats’, harmonies, and intervals. Ken Alexander,
Written by: Advaitaa Nagulapalli Time is incredibly valuable, so it’s natural that speed and efficiency are the first priority of many, especially when it comes to arriving at a destination on time. Traffic is a major problem for everyone, so to try to reduce jams,
Written by: Sahana Vijayaraj Some infinities are greater than others. You might have heard this statement before, but it’s probably never been explained. Some infinities are greater than others— but please, please don’t ask why. So, while many are content to remain satisfied with it,
Written by: Atharv Kanchi The concept of duality can be defined in two different ways. Formally, duality is defined as relating mathematical concepts in a one-to-one relationship through something called involution: if A is B, then B is A. In standard terms, duality is when
You tell your friend that you know the password to his phone but he doesn’t believe you and tells you to prove it to him. With other people around, you wish to preserve his privacy and decide not to reveal his password. How can you
Written by Oscar Lee Introduction How many different ways can you shuffle a deck of cards? Well, for the first card, there’s 52 choices. For the second, 51. For the third, 50, and so on. By the Multiplication Principle,