Diophantine equations are polynomial equations over the integers. These are useful in many fields of mathematics such as group theory and operations research.

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## Quantum immortality

In quantum mechanics, physicists have come up with all kinds of thought experiments. Quantum suicide and quantum immortalilty are examples of these thought experiments. They are a variation on the most famous problem in quantum mechanics, Schrödinger’s cat. This...

## The raven paradox

The raven paradox Econometricians face difficult problems. One of the hardest problems one can encounter is a paradox. The raven paradox is such a problem and was first proposed by logician Carl Gustav Hempel. The paradox has its basis in statististics. In this...

## On predicting the future

Predicting the future is a hard concept to grasp. That is why this article aims to discuss some daily applications of predictions and dives a bit in to the world of forecasting.

## Newcomb’s paradox

Let's suppose that we have a game with two players. One is a person that will make a decision and the other is a supercomputer that will try and predict that decision beforehand. This computer has been tested many times and the testers have worked out that the...

## The Kolmogorov-Smirnov Test

In statistics we are often estimating parameters and then, using some hypothesis test, we can find out if we should either reject our null hypothesis or not. Now in these tests we almost always rely on some known distribution of a so-called test statistic. Let us...

## A look at an economic application of the Lotka-Volterra equations

The Lotka-Volterra model is mostly referred to as the predator-prey model. This model is used to describe lots of commonly encountered ecological processes. One of the more famous ones is the rabbit and the fox model. This is a cyclical relation between the amount of...

## Four frequently asked questions about Apple’s and Tesla’s stock split

Every now and then, in the news you hear a new term. For me that was the term ‘stock split’. Apple and Tesla both went through a so-called stock split last month, but what does this mean for the shareholders? And what about the companies themselves? In this short...

## STOP ONLINE EXAMS!

Due to fast spread of COVID-19 the whole world has turned upside down in an instant. The corona virus already had many consequences. Many countries have been in complete lockdown, schools were closed down and leaving the house was only allowed to get necessary...

## The many-worlds theory

The many-worlds theory or also know as many-worlds interpretation is one of the two most supported theories within quantum mechanics. The theory was first proposed by Hugh Everett at the age of 26. That is also the reason why this theory was claimed to be nonsense by...