What’s the ideal number of stops along a bus route? If there are too few, then people have to walk far to the nearest one. If there are too many, then the bus has to stop very often.

(Norwegian) Arbeidsgivere og arbeidstakere er uenige om overtidsregler for deltidsansatte. Et kompromiss er å gradvis justere opp overtidssatsen når man går over avtalt arbeidstid.

A simple savings calculator assumes that you deposit yearly savings at the end of the year. In reality you deposit more often (e.g. monthly) and this accrues interest too. What happens if you deposit and compound infinitely often?

(Norwegian) Vi erstatter forholdet mellom borgere og staten med to funksjoner: T(x) beregner skatt på inntekt og B(x) beregner bidrag fra staten. Nettoverføring blir x - T(x) + B(x), og denne funksjonen erstatter store deler av velferdsstaten.

Numerical linear algebra is found at the core of many computational routines. Here’s a list of beginner linear algebra mistakes, followed by some tips for writing better and faster numerical code.

(Norwegian) I denne artikkelen bruker vi matematikk for å få ned ventetidene for fastlegebytter, uten at det koster noe eller krever flere leger.

Tips and tricks for non-linear curve fitting: modeling, validation and optimization.

If people rate each other on a platform, such as on Tinder or an e-commerce website - how can we aggregate the individual ratings to produce an overall rating?

(Norwegian) Elever spør ofte hva de skal med matematikk. Her er en liste med 100 problemstillinger der matte kan være nyttig.

The article explains the mathematics behind Voting Advice Applications (VAAs) and visualizes both parties and statements as vectors. Two new ideas are also presented. One is to explain a user’s political position as a convex combination of parties. The other is to present the user with statements in a sequence that guarantees the statements are not too similar.

(Norwegian) Denne artikkelen forklarer matematikken bak valgomater ved å visualisere partier og påstander som vektorer. To nye idéer blir også presentert. Den ene er å forklare en brukers politiske ståsted som en konveks kombinasjon av partier. Den andre er å presentere brukeren for påstander i en rekkefølge som garanterer at påstandene ikke blir for like.

(Norwegian) To personer skal kjøpe bolig, men har ulik betalingsevne. Hva er en rettferdig økonomisk fordeling?

(Norwegian) Ap vil bytte ut strømstøtte med fastpris, mens Frp og KrF vil ha makspris. Økonomer påpeker at insentiver forsvinner med fastpris. Vi kan fikse politikernes forslag ved hjelp av enkel matematikk på VGS-nivå: logaritmer og eksponentialfunksjoner.

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?