2,477 research outputs found
Palindromic richness
In this paper, we study combinatorial and structural properties of a new class of finite and infinite words that are 'rich' in palindromes in the utmost sense. A characteristic property of the so-called rich words is that all complete returns to any palindromic factor are themselves palindromes. These words encompass the well-known episturmian words, originally introduced by the second author together with Droubay and Pirillo in 2001 [X. Droubay, J. Justin, G. Pirillo, Episturmian words and some constructions of de Luca and Rauzy, Theoret. Comput. Sci. 255 (2001) 539-553]. Other examples of rich words have appeared in many different contexts. Here we present the first unified approach to the study of this intriguing family of words. Amongst our main results, we give an explicit description of the periodic rich infinite words and show that the recurrent balanced rich infinite words coincide with the balanced episturmian words. We also consider two wider classes of infinite words, namely weakly rich words and almost rich words (both strictly contain all rich words, but neither one is contained in the other). In particular, we classify all recurrent balanced weakly rich words. As a consequence, we show that any such word on at least three letters is necessarily episturmian; hence weakly rich words obey Fraenkel's conjecture. Likewise, we prove that a certain class of almost rich words obeys Fraenkel's conjecture by showing that the recurrent balanced ones are episturmian or contain at least two distinct letters with the same frequency. Lastly, we study the action of morphisms on (almost) rich words with particular interest in morphisms that preserve (almost) richness. Such morphisms belong to the class of P-morphisms that was introduced by Hof, Knill, and Simon in 1995 [A. Hof, O. Knill, B. Simon, Singular continuous spectrum for palindromic Schrödinger operators, Comm. Math. Phys. 174 (1995) 149-159]
Auf das Hochfürstliche Geburts Fest Des Durchlauchtigsten Fürsten und Herrn, Herrn Ernst Augusts Herzogs zu Sachsen, Jülich, Cleve und Berg ... Welches bey Hochfürstlichem Wohlseyn zur allgemeinen Landes Freude am 19 April 1726 eingetreten
[Justin Henrich Föckler]Vorlageform des Erscheinungsvermerks: Wejmar, gedruckt bey Joh. Leonhard Mumbach, Fürstl. Sächß. Hof-Buchdr
Die Vollkommenheit bey unvollkommenen Jahren, Als Der Durchlauchtigste Printz und Herr, Herr Wilhelm Ernst, Herzog zu Sachsen, Jülich, Cleve und Berg ... Am 8. Junii 1719. In Halle auff der Reise zur Fürstlichen Groß-Frau-Mutter nach Nienburg sanft und Hochseeligst entschlaffen, Aus unterthänigster Compassion und wehmuth vorgestellet
Gedicht zum Tod von Wilhelm Ernst, Prinz von Sachsen-Weimar-Eisenach, 8. Juni 1719[Justin Heinrich Föckler]Vorlageform des Erscheinungsvermerks: Wejmar, gedruckt in der privil. Hof-Buchdruckerey
American Gods: fanboys and superheroes in the twentieth century
This paper details the development of comic book fan culture through the twentieth century. It examines the growing cultural relevance of comic book material and explores the narrative and thematic links between Frank Miller's "The Dark Knight Returns" and 1980s conceptions of masculinity and heroism.M.A.Includes bibliographical referencesby Justin Man
Lizzo “Truth Hurts” Co-Author Allegations
Famous recording artist, Lizzo, filed a preemptive lawsuit on October 23rd, 2019 to disprove allegations that Justin and Jeramiah Raisen and Justin “Yves” Rothman deserve author credit for her song, “Truth Hurts.”Lizzo is seeking a declaratory judgment that the alleged authors have no interest in the copyright or right to share profits. The Raisens and Rothman claim that the lyric “I just took a DNA test, turns out I’m 100% that bitch”, which originated from a popular internet meme, was a part of an unreleased demo, which Lizzo recorded at the Raisen’s studio, and on the final track. Lizzo claims that Rothman believes that she will pay him to stop making accusations against her, simply because he was present at a writing session for the demo track.
This post was originally published on the Cardozo Arts & Entertainment Law Journal website on November 11, 2019. The original post can be accessed via the Archived Link button above
Recommended from our members
Lizzo “Truth Hurts” Co-Author Allegations
Famous recording artist, Lizzo, filed a preemptive lawsuit on October 23rd, 2019 to disprove allegations that Justin and Jeramiah Raisen and Justin “Yves” Rothman deserve author credit for her song, “Truth Hurts.”Lizzo is seeking a declaratory judgment that the alleged authors have no interest in the copyright or right to share profits. The Raisens and Rothman claim that the lyric “I just took a DNA test, turns out I’m 100% that bitch”, which originated from a popular internet meme, was a part of an unreleased demo, which Lizzo recorded at the Raisen’s studio, and on the final track. Lizzo claims that Rothman believes that she will pay him to stop making accusations against her, simply because he was present at a writing session for the demo track.
This post was originally published on the Cardozo Arts & Entertainment Law Journal website on November 11, 2019. The original post can be accessed via the Archived Link button above
Meet the Author: New to Cleveland: A Guide to (Re)Discovering the City by Justin Glanville, Illustrated by Julia Kuo
Take a look at Cleveland through fresh eyes. In this exhilarating new book- written, designed and printed right here in Northeast Ohio- Justin Glanville and Julia Kuo tell you everything you need to know about the area in an entertaining, often inspiring way. There is a wealth of information here for newcomers, but the real value lies in what the book can do for longtime residents. Reconnect with your old neighborhood and reach out to new, undreamt of corners of Cleveland. Books will be available for sale and signing at the event
AUC Cypher: Justin Terrell Questionnaire
Questionnaire completed by Justin Terrell AKA Twstid
AUC Cypher: Justin Terrell Transcript
Transcript of AUC Cypher: Justin Terrell AKA Twstid vide
Justin Martyr et le dialogue interreligieux contemporain
Cet article examine la crédibilité et la pertinence du rôle conféré à Justin Martyr dans le dialogue interreligieux contemporain. En effet, le concept du Logos spermatikos qu’il a introduit dans la théologie chrétienne est reconnu depuis Vatican II comme la justification de l’ouverture vis-à-vis des religions non chrétiennes. En examinant le dialogue pratiqué par Justin en personne, l’auteur de cet article parvient à la conclusion que l’ouverture des chrétiens engagés dans le dialogue interreligieux contemporain va au-delà de celle de Justin.This article examines the credibility and relevance of the role Justin Martyr is accredited with in the contemporary interreligious dialogue. In fact, the concept of Logos spermatikos he introduced into the Christian theology is acknowledged since Vatican II as the justification of the openness towards the non-Christian religions. While examining the dialogue practiced by Justin himself, the author of this article reaches the conclusion that the open mindedness of Christians involved in the contemporary interreligious dialogue goes beyond the one of Justin
- …
