In this paper four regular relations, R, L∗, M∗ and Q∗ in a transformation group (X, T ) are defined and some of their properties are studied.

We provide an exact estimate on the maximal subword complexity for quasiperiodic infinite words. To this end we give a representation of the set of finite and of infinite words having a certain quasiperiod q via a finite language derived from q. It is shown that this language is a suffix code having a bounded delay of decipherability. Our estimate of the subword complexity uses this property, e...

Using a theorem of N. Chomsky and M. Schützenberger one can characterize sequences of integers which satisfy linear recurrence relations with constant coefficients (C-finite sequences) as differences of two sequences counting words in regular languages. We prove an analog for P-recursive (holonomic) sequences in terms of counting certain lattice paths.

nowadays both part-time as well as regular employees are working in many organizations of bangladesh. though many studies have been conducted to know the motivation status of regular employees but no study is found that addressed motivations status of both regular and part-time employees of bangladesh. thus, this study is conducted on 300 regular and part-time employees of bangladesh to know th...

In this note, we prove that the family of regular codes is not asymptotically good. The notation follows that in [2]. All codes considered are binary linear codes. H7 refers to the [7, 4] binary Hamming code. Definition 1. A binary linear code is regular iff it does not contain as a minor any code equivalent to H7 or H 7 . It follows from the theorem that the family of regular codes, which we w...

We call a vector x 2 IR n highly regular if it satisses < x ; m > = 0 for some short, non{zero integer vector m where < : ; : > is the inner product. We present an algorithm which given x 2 IR n and 2 IN nds a highly regular nearby point x 0 and a short integer relation m for x 0 : The nearby point x 0 is 'good' in the sense that no short relation m of length less than =2 exists for points x wi...

‎in this paper some properties of weak regular injectivity for $s$-posets‎, ‎where $s$ is a pomonoid‎, ‎are studied‎. ‎the behaviour‎ ‎of different kinds of weak regular injectivity with products‎, ‎coproducts and direct sums is considered‎. ‎also‎, ‎some‎ ‎characterizations of pomonoids over which all $s$-posets are of‎ ‎some kind of weakly regular injective are obtained‎. ‎further‎, ‎we‎ ‎giv...