Izbrane teme sodobne fizike in matematike

Unimodalna kategorija in topološka statistika

V tem delu sta predstavljena pojem unimodalne dekompozicije in z njim povezano število, imenovano unimodalna kategorija. Predstavljen je tudi algoritem za izračun tega števila v primeru zvezne realne funkcije s kompaktnim nosilcem in sliko v [0, ∞).

Unimodal category and topological statistics

In this article the notion of unimodal decomposition and with it related number, called unimodal category, is presented. An algorithm for the calculation of this number for a continuous real function with compact support and image in [0, ∞) is also presented.