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Category Archives: Math

The Isoperimetric Inequality

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

Explaining the Properties of the Real Numbers

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

Category Theory

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

Untangling Mathematics: A Look Into DeepMind’s New AI

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

Debunking Flatland: Space Filling Curves

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

The Physics of Water Wakes

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

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Mathematical Epidemiology: Past Findings and Future Possibilities

By: Madhav Parthasarathy Have you ever wondered how and why diseases spread? Well, the answer to that is Mathematical Epidemiology! Mathematical Epidemiology is the mathematical modeling of diseases to determine the rate at which people become infected with diseases. The study of infectious disease data

Partitions in Math

Written by Madhav Parthasarathy A partition of a natural number is the way of writing these numbers as the sum of other natural numbers. The first mathematician to introduce the topic of partitions was Gottfried Wilhelm Leibniz, who is more famously known as one of

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Synthetic Geometry and Euclid’s Elements

Written by Matthew Niemiro Records on the study of geometry date back thousands of years. Between 2000and 1600 BC, ancient Babylonians studied the properties of triangles regardingratio and proportion, and developed what would become the PythagoreanTheorem long before Pythagoras (“The Origins of Geometry,” n.d.). Similargeometric