Articles

A compliation of articles written by Prime Pursuit


General

NZSST Discussion

January 27, 2024

Recently the NZ Squad Selection Test was held over a three-day period in mid-January, 2024. While I enjoyed most of the problems, I’d like to discuss four which I found quite interesting. Hopefully you could learn a thing or two, and at the same time, enjoy the process of problem solving throughout.


Algebra

Unknown Coefficients in Inequalities

January 27, 2024

In this article, we will explain how the technique of ”unknown coefficients” could be used to solve more complicated and advanced problems.


Combinatorics

Generating Functions

January 30, 2024

The technique of generating functions is surprisingly useful and has applications in discrete mathematics, allowing us to easily manipulate and work with sequences of numbers by treating them as functions


Geometry

Georg Cantor, Robert Simson, and the Complex Plane

January 29, 2024

In this article we will explore the complex properties of the Simson Line, and prove the existence of the Cantor Line and Cantor Point.


Number Theory


Miscellaneous