Written by: Karthik Prasad Calculus is one of the greatest inventions in Mathematics. Its two primary tools—the derivative and integral—allow us to calculate the rates of change and work done respectively,and are used throughout the world. However, it doesn’t always do things the way
Written by: Aryan Mansingh 2024 is a Leap Year. Once every four years, an extra day, February 29th, is added to make up for the Earth’s orbit around the sun being longer than the length of a year. However, the story behind the leap seconds
Written by: Aarav Shah Source: https://www.technologynetworks.com/neuroscience/news/deepmind-ai-used-to-develop-new-math-techniques-356418 Artificial intelligence (AI) is rapidly transforming the world around us. From facial recognition on our smartphones to the algorithms driving autonomous vehicles, AI’s capabilities appear magical. But beneath the seemingly mystical surface lies a powerful and logical engine:
Written by Karthik Prasad Introduction Perimeter and area are two fundamental values associated with any 2D figure, but how are they related? It seems simple, but it turns out that this question is much more complicated than most have previously thought—it took mathematicians thousands
Written by: Karthik Prasad The real numbers are something every math student is familiar with—after all, they are the numbers that make up the real world itself. However, we often take the existence and structure of these numbers for granted. We will discuss the
Written by: Karthik Prasad Seven Problems. 1 million dollars for each one solved. The Yang-Mills Mass Gap problem is one of the fabled Millenium Problems and is of great interest in mathematical physics. Its statement is…incomprehensible for most, filled with abstract terms: prove that for
By: Andrew D. Katson Definition Category theory, as invented in 1945, is a field of mathematics that works with objects and their relationships. A category is a set made up of multiple elements, called “objects”, and their “mappings” (5, 11). In figure 1, we see
Written by: Gloria Wang As an expanding field with a wide variety of applications, artificial intelligence (AI) has been a hot topic for decades. Machine learning has been applied to board games, language, and healthcare. But for the first time, researchers have applied AI to
Written by: Gautham Anne In 1877, George Cantor discovered that the number of points in a 2-dimensional plane is the same as the number of points in a 1-dimensional line. This is tremendously counterintuitive since a plane can have an infinite number of lines
Written by: Gautham Anne While watching boats travel by or a duck on a pond, one might wonder how the astonishing wake patterns emerge, such as the ones depicted in figure 1. One might also note that the wake patterns, regardless of whether it is