Implementing the Norwegian income tax is a pain. It requires keeping track of various deductions, if-then-else rules and around 20 constants. In this article we introduce a smooth tax function, simplifying the computation to a single formula with two constants.

The Huber loss function behaves like squared loss for small values and like absolute loss for large values. In this article we reverse the pseudo-Huber, creating a smooth function that behaves like absolute loss for small values and like squared loss for large values.

We use group theory to solve a coding competition puzzle.

Given a desired stationary distribution and a Markov chain structure, what should the transition probabilities be in order for sampling to converge to the stationary distribution?

(Norwegian) God privatøkonomi gir økt handlingsrom. Denne artikkelen viser formler og grafer for inflasjon, sparing, aksjefond og boligpriser.

On the ice tiles featured in Pokémon games, the player must navigate from start to finish by sliding across the ice. In this article we investigate properties of ice maps, and investigate at how we can generate hard problems.

A set of patients are in need of kidney transplants. New kidneys arrive randomly via a Poisson process. How can kidneys be allocated to maximize the sum of extended life expectancy for the patients?

An interactive investment calculator for simulating how your savings will grow, based on historical data from the stock index S&P500.

My grill has a thermometer that goes up to 370 degrees Celsius. How hot will the grill eventually become if I leave the gas on indefinitely?

(Norwegian) I denne artikkelen løser vi fordeling av elever på skoler med karakterbaserte hensyn.

(Norwegian) I denne artikkelen presenterer vi modeller fordeling av elever på skoler med geografiske hensyn, med og uten prioriteter.

I present a model for how strength levels increase over time for an athlete. The model equation is derived from first principles using a differential equation as the starting point.