We use results on Dyck words and lattice paths to derive a formula for the exact number of binary given length with minimal abelian border length, tightening bound that from Christodoulakis et al. (Discrete Applied Mathematics, 2014). extend any distinct borders result Rampersad (Developments in Language Theory, 2013) no borders. also generalize these partial words.

We study aperiodic balanced sequences over finite alphabets. A sequence v of this type is fully characterised by a Sturmian u and two constant gap y y′. show that the language eventually dendric we focus on return words to its factors. develop method for computing critical exponent asymptotic sequences, provided associated has quadratic slope. The based looking shortest bispecial factors in v. ...

Personal branding is widely used as a communication strategy to instill positive perception of person the public. also done directly and indirectly through social media. An influencer needs have strong personal differentiate him from other influencers. One Tik Tok influencers Dhea Dillah with account @dillaprb. This study aims determine how Dillah's on The method descriptive qualitative 11 indi...

In combinatorics on words, a word w over an alphabet Σ is said to avoid a pattern p over an alphabet ∆ if there is no factor f of w such that f = h(p) where h : ∆∗ → Σ∗ is a non-erasing morphism. A pattern p is said to be k-avoidable if there exists an infinite word over a k-letter alphabet that avoids p. We give a positive answer to Problem 3.3.2 in Lothaire’s book “Algebraic combinatorics on ...

As a generalization of the sum of digits function and other digital sequences, sequences defined as the sum of the output of a transducer are asymptotically analyzed. The input of the transducer is a random integer in [0, N). Analogues in higher dimensions are also considered. Sequences defined by a certain class of recursions can be written in this framework. Depending on properties of the tra...

K.D. Glover, R.G. Hall, L.E. Osborne, J.A. Ingemansen, and J.R. Rickertsen, Plant Science Dep., South Dakota State Univ., Brookings, SD 57007; J.C. Rudd and R.N. Devkota, Agricultural Research and Extension Center, West Amarillo, TX 79106; Y. Jin, USDA-ARS and Dep. of Plant Pathology, Univ. of Minnesota, St. Paul, MN 55108; D.D. Baltensperger, Dep. of Soil and Crop Sciences, Texas A&M Univ., Co...

In combinatorics on words, a word $w$ over an alphabet $\Sigma$ is said to avoid pattern $p$ $\Delta$ if there no factor $f$ of such that $f=h(p)$ where $h:\Delta^*\to\Sigma^*$ non-erasing morphism. A be $k$-avoidable exists infinite $k$-letter avoids $p$. \emph{doubled} every variable occurs at least twice. Doubled patterns are known $3$-avoidable. Currie, Mol, and Rampersad have considered ge...

Beauty influencer menjadi profesi yang diidentikan dengan seorang Wanita, padahal penggunaan makeup kini juga telah dilakukan oleh pria. Male beauty adalah sebutan bagi seseorang membuat konten baik berupa foto maupun video berfokus pada dunia kecantikan namun pria, kemunculannya kerap dianggap menyimpang dan tidak lazim. Yudhistira salah satu male di Indonesia. Meskipun dirinya sukses mengambi...

Rampersad, S; Petit, A; Ruiz, JC; Wertheimer, MR; Antoniou, J; Mwale, F. Division of Orthopaedic Surgery, McGill University, Lady Davis Institute for Medical Research, Jewish General Hospital, Montréal, QC, Canada Department of Engineering Physics, ÉcolePolytechnique, Montréal, Québec, Canada email: [email protected] INTRODUCTION Mesenchymal stem cells (MSCs) are multipotent stem cells t...