Volume 59
, Issue 1


Dear Readers, welcome to this year’s first issue of Parabola! It features the most articles (10) by the most contributors (24) from the most countries (9), in Parabola’s history long. Enjoy!

The concept of integrals can seem paradoxical. It’s difficult to comprehend how the area underneath some curves that continue towards infinity could be finite.

When representing numbers in number systems to a given base $b$, such as base $b=10$ (decimal numbers) or cases $b=2$ (binary numbers), there is nothing to stop us from using non-integer bases. This article shows how arithmetic works when using reciprocal bases $1/b$. 

The doubling of the cube, also known as the Delian problem, is one of the three ancient problems from the 5th century BC. In 1837, Pierre Wantzel proved that this problem is impossible to solve precisely. However, it is possible to solve approximately.

This paper investigates Lévy Stable distributions, how they can be fit to stock market return data, and the methods used to convert these distributions into predictive indicators of stock market crashes.

This article explains the concept of zero-knowledge proofs and offers an interesting application for detecting the use of engine-assistance in competitive chess.

A 20-year mechanical calendar is created using only elementary school mathematics.

In this article, we present an elementary proof of the following fact:

  A regular polygon has the largest area among all polygons inscribed in a circle.

You might have been told that subtraction is the inverse of addition. Strictly speaking, this is not true; subtraction is actually not the inverse of addition. This article aims to carefully explain this fact.

The article presents the beautiful binomial transform and several pretty identities arising from it, involving Fibonacci numbers, Catalan numbers and trigonometric sums.

The Lotka-Volterra model is used together with Matlab to predict the dynamic behavior of COVID-19, and the model's merits and limitations are discussed.

Q1701 A school class consists entirely of twins: $2n^2 + 2n$ pairs of them, where $n \geq 2$. Including the teacher, there are $4n^2 + 4n + 1$ people in the class, so they can stand in a $2n + 1$ by $2n + 1$ square array.