@book{JuergensenKatsuraKonstantinidis1999, author = {J{\"u}rgensen, Helmut and Katsura, M. and Konstantinidis, Stavros}, title = {Maximal solid codes}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Informatik}, volume = {1999, 03}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Informatik}, publisher = {Univ.}, address = {Potsdam}, issn = {0946-7580}, pages = {23 Bl.}, year = {1999}, language = {en} } @article{JuergensenKonstantinidis2006, author = {J{\"u}rgensen, Helmut and Konstantinidis, Stavros}, title = {(Near-)inverses of sequences}, issn = {0020-7160}, doi = {10.1080/00207160500537801}, year = {2006}, abstract = {We introduce the notion of a near-inverse of a non-decreasing sequence of positive integers; near-inverses are intended to assume the role of inverses in cases when the latter cannot exist. We prove that the near-inverse of such a sequence is unique; moreover, the relation of being near-inverses of each other is symmetric, i.e. if sequence g is the near-inverse of sequence f, then f is the near-inverse of g. There is a connection, by approximations, between near- inverses of sequences and inverses of continuous strictly increasing real-valued functions which can be exploited to derive simple expressions for near-inverses}, language = {en} }