# Tag Archives: mathematics

## What’s the Chance a Random Problem Has a Solution?

Consider a graph, which is a set of vertices connected with edges. Your task is to assign two colors to the vertices of the graph, but under the constraint that if vertices share an edge, then they must be different colors. Can you solve this problem and satisfy the constraint? Now suppose that the edges of the graph are chosen randomly; for example, by flipping a coin for every two vertices to determine if there is an edge connecting them. What’s the chance that you can still find a coloring which satisfies the constraint?

## Zeros of Random Polynomials and Their Higher Derivatives

Complex polynomials are one of the oldest and most fundamental objects of study in mathematics, and are ubiquitous in applications.

## MathStatBites in the Classroom

This MathStatBites post is a bit meta; this time around we are considering how you might use posts on this site in your teaching. MathStatBites posts are great for those who want to get a sense of what is happening in the latest mathematics and statistics research but who may not have a detailed background on the particular topic at hand. Beyond reading for fun or self study, they can also be a great resource for teachers looking to introduce their students to research and communication strategies for reaching broader audiences.

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