Abstract. A remarkable result due to Kou, Liu & Luo states that the condition of continuity for a dcpo can be split into quasi-continuity and meet-continuity. Their argument contained a gap, however, which is probably why the authors of the monograph Continuous Lattices and Domains used a different (and fairly sophisticated) sequence of lemmas in order to establish the result. In this note we s...

The accurate inheritance of the complete genetic information from one generation to another is the basis for the continuity of life. Protein complexes consisting of Structural Maintenance of Chromosomes (SMC) and kleisin subunits are central players assuring the proper segregation of a cell’s chromosomes during cell division in prokaryotes and eukaryotes. Two of the best studied SMC complexes a...

Biological sequences carry a lot of important genetic information of organisms. Furthermore, there is an inheritance law related to protein function and structure which is useful for applications such as disease prediction. Frequent sequence mining is a core technique for association rule discovery, but existing algorithms suffer from low efficiency or poor error rate because biological sequenc...