Comprehensive knowledge of biodiversity is a prerequisite for its long-term conservation and sustainable use. Fungi play crucial roles in ecosystems and are among the species-richest organism groups on Earth. However, all aspects of their diversity remain underexplored. In this study, we aimed to fill the gaps in occurrence data and taxonomy as well as in understanding spatial diversity patterns of aphyllophoroid fungi (non-gilled macroscopic Basidiomycota). We digitized and made openly accessible 4,041 records of ...

Time series are useful for modeling systems behavior, for predicting some events (catastrophes, epidemics, weather, ...) or for classification purposes (pattern recognition, pattern analysis). Among the existing data analysis algorithms, ordinal pattern based algorithms have been shown effective when dealing with simulation data. However, when applied to quasi-periodically forced systems, they fail to detect SNA and tori as regular dynamics. In this work we address this concern by defining ordinal array (OA) based ...

In der algebraischen Kryptoanalyse werden moderne Kryptosysteme als polynomielle, nichtlineare Gleichungssysteme dargestellt. Das Lösen solcher Gleichungssysteme ist NP-hart. Es gibt also keinen Algorithmus, der in polynomieller Zeit ein beliebiges nichtlineares Gleichungssystem löst. Dennoch kann man aus modernen Kryptosystemen Gleichungssysteme mit viel Struktur generieren. So sind diese Gleichungssysteme bei geeigneter Modellierung quadratisch und dünn besetzt, damit nicht beliebig. Dafür gibt es spezielle ...