scholarly journals Binary patterns in the Prouhet-Thue-Morse sequence

2021 ◽  
Vol vol. 23, no. 3 (Automata, Logic and Semantics) ◽  
Author(s):  
Jorge Almeida ◽  
Ondřej Klíma
Keyword(s):  
Unpublished Work ◽  
Infinite Case

We show that, with the exception of the words $a^2ba^2$ and $b^2ab^2$, all (finite or infinite) binary patterns in the Prouhet-Thue-Morse sequence can actually be found in that sequence as segments (up to exchange of letters in the infinite case). This result was previously attributed to unpublished work by D. Guaiana and may also be derived from publications of A. Shur only available in Russian. We also identify the (finitely many) finite binary patterns that appear non trivially, in the sense that they are obtained by applying an endomorphism that does not map the set of all segments of the sequence into itself.

The Strange Radicalism of Thomas Carnduff and St John Ervine

2017 ◽  
Author(s):  
Connal Parr
Keyword(s):  
Twentieth Century ◽  
Working Class ◽  
First World War ◽  
Class Consciousness ◽  
World War ◽  
Abbey Theatre ◽  
Unpublished Work ◽  
Early Twentieth Century ◽  
The First World War ◽  
First World

St John Ervine and Thomas Carnduff were born in working-class Protestant parts of Belfast in the 1880s, though Ervine would escape to an eventually prosperous existence in England. Orangeism, the politics of early twentieth-century Ireland, the militancy of the age—and the involvement of these writers in it—along with Ervine’s journey from ardent Fabian to reactionary Unionist, via his pivotal experiences managing the Abbey Theatre and losing a leg in the First World War, are all discussed. Carnduff’s own tumultuous life is reflected through his complicated Orange affiliation, gut class-consciousness, poetry, unpublished work, contempt for the local (and gentrified) Ulster artistic scene, and veneration of socially conscious United Irishman James Hope. It concludes with an assessment of their respective legacies and continuing import.

LINEAR AND NONLINEAR INTERSUBBAND OPTICAL ABSORPTION OF FINITE AND INFINITE SEMI-PARABOLIC QUANTUM WELLS

2011 ◽  
Vol 25 (07) ◽  
pp. 497-507 ◽  
Author(s):  
M. J. KARIMI ◽  
A. KESHAVARZ ◽  
A. POOSTFORUSH
Keyword(s):  
Refractive Index ◽  
Optical Properties ◽  
Optical Absorption ◽  
Quantum Well ◽  
Quantum Wells ◽  
Resonant Peak ◽  
Energy Eigenvalues ◽  
Finite Case ◽  
Infinite Case ◽  
Index Changes

In this work, the optical absorption coefficients and the refractive index changes for the infinite and finite semi-parabolic quantum well are calculated. Numerical calculations are performed for typical GaAs / Al x Ga 1-x As semi-parabolic quantum well. The energy eigenvalues and eigenfunctions of these systems are calculated numerically. Optical properties are obtained using the compact density matrix approach. Results show that the energy eigenvalues and the matrix elements of the infinite and finite cases are different. The calculations reveal that the resonant peaks of the optical properties of the finite case occur at lower values of the incident photon energy with respect to the infinite case. Results indicate that the maximum value of the refractive index changes for the finite case are greater than that of the infinite case. Our calculations also show that in contrast to the infinite case, the resonant peak value of the total absorption coefficient in the case of the finite well is a non-monotonic function of the semi-parabolic confinement frequency.

The Ta'līf akhbār al-qurūn min umarā' bilad Ilūrin: A Critique

1984 ◽  
Vol 11 ◽  
pp. 57-67
Author(s):  
H.O. Danmole
Keyword(s):  
Nineteenth Century ◽  
Fifteenth Century ◽  
Primary Sources ◽  
Northern Nigeria ◽  
Early Nineteenth Century ◽  
Unpublished Work ◽  
History Of ◽  
The University ◽  
University Of Ibadan ◽  
Local Languages

Before the advent of colonialism, Arabic was widely used in northern Nigeria where Islam had penetrated before the fifteenth century. The jihād of the early nineteenth century in Hausaland led to the establishment of the Sokoto Caliphate, the revitalization of Islamic learning, and scholars who kept records in Arabic. Indeed, some local languages such as Hausa and Fulfulde were reduced to writing in Arabic scripts. Consequently, knowledge of Arabic is a crucial tool for the historian working on the history of the caliphate.For Ilorin, a frontier emirate between Hausa and Yorubaland, a few Arabic materials are available as well for the reconstruction of the history of the emirate. One such document is the Ta'līf akhbār al-qurūn min umarā' bilad Ilūrin (“The History of the Emirs of Ilorin”). In 1965 Martin translated, edited, and published the Ta'līf in the Research Bulletin of the Centre for Arabic Documentation at the University of Ibadan as a “New Arabic History of Ilorin.” Since then many scholars have used the Ta'līf in their studies of Ilorin and Yoruba history. Recently Smith has affirmed that the Ta'līf has been relatively neglected. He attempts successfully to reconstruct the chronology of events in Yorubaland, using the Ta'līf along with the Ta'nis al-ahibba' fi dhikr unara' Gwandu mawa al-asfiya', an unpublished work of Dr. Junaid al-Bukhari, Wazīr of Sokoto, and works in English. The purpose of this paper is to analyze the information in the Ta'līf by comparing its evidence with that of other primary sources which deal with the history of Ilorin and Yorubaland.

XVII.—The Endodermis in Light-grown and Etiolated Shoots of the Leguminosæ: A Contribution to the Causal Study of Differentiation in the Plant

1935 ◽  
Vol 58 (2) ◽  
pp. 409-425 ◽  
Author(s):  
G. Bond
Keyword(s):  
Solanum Tuberosum ◽  
Pisum Sativum ◽  
Vicia Faba ◽  
Related Species ◽  
Structural Features ◽  
Closely Related Species ◽  
Lens Esculenta ◽  
Normal Shoot ◽  
Casparian Strip ◽  
Unpublished Work

Twelve years ago Priestley and Ewing (1923) reported that in certain plants, normally showing but little development of stem-endodermis, an extensive formation of this layer could be induced by etiolation. (Note: In this paper the term endodermis is used only when the layer shows characteristic structural features—in the present case the Casparian strip.) A later paper by Priestley (1926) dealt with the same subject. The specified plants with which this result was obtained consisted of four closely related species, namely, Vicia Faba, V. sativa*, Pisum sativum, and Lens esculenta*, and also Solanum tuberosum. (The statements relating to the species marked with an asterisk are based on unpublished work carried out at Leeds, kindly placed at the author's disposal by Professor J. H. Priestley.) In these plants a primary endodermis, though present only at the base of the normal shoot, was described as extending to a considerable height in the etiolated shoot. It was concluded that the absence of endodermis from the greater part of the shoot of these plants, when grown under normal conditions, arises from the inoperation, in the presence of light, of the mechanism forming the Casparian strip.

The Origins and Effectiveness of the Geneva Conventions for the Protection of War Victims

1973 ◽  
Vol 13 (147) ◽  
pp. 283-290
Author(s):  
Ian Harding
Keyword(s):  
International Law ◽  
Human Dignity ◽  
Effective Protection ◽  
Geneva Conventions ◽  
Unpublished Work ◽  
History Of ◽  
Ancient Civilizations ◽  
War Victims

It gives us pleasure to publish extracts from a remarkable unpublished work by an Australian author, Ian Harding. In four chapters (Antiquity, Islam, Some European Developments, Henry Dunant) it covers the origins of the Geneva Conventions from ancient civilizations, and then goes on to explain their significance in international law and action (The Conventions, The Propositions, The Conclusions). The passages we quote below deal with the history of humanitarian ideas and the laborious efforts, repeated time and time again throughout the centuries, for the ever more effective protection of human dignity. (Ed.).

scholarly journals How Berkeley’s Works Are Interpreted

2021 ◽  
pp. 1-12
Author(s):  
Stephen H. Daniel
Keyword(s):  
Unpublished Work ◽  
The Will

Instead of interpreting Berkeley exclusively in terms of how he relates to Descartes, Malebranche, and Locke, this chapter suggests we consider him in relation to other figures as well (e.g. Stoics, Ramists, Suárez, Spinoza, Leibniz). This allows us to integrate his published and unpublished work, and it reveals how the breadth of his writings are much more aligned with one another. Specifically, it indicates how mind is the will that things be identified by being differentiated and related rather than something distinct from already differentiated things.

scholarly journals The Scottish National Antarctic Expedition, 1902–1904: reconstructing the missing geological report

2018 ◽  
Vol 45 (2) ◽  
pp. 350-362 ◽  
Author(s):  
Philip Stone
Keyword(s):  
Research Programme ◽  
Medical Doctor ◽  
Scientific Investigation ◽  
Orkney Islands ◽  
Unpublished Work ◽  
Antarctic Expedition ◽  
South Orkney Islands ◽  
Scientific Results ◽  
Quality Reports ◽  
Archive Material

The Scottish National Antarctic Expedition (1902–1904) made the first topographical survey and scientific investigation of Laurie Island, one of the South Orkney Islands, and completed an extensive oceanographical research programme in the Scotia and Weddell Seas. When the expedition returned to Scotland, the leader, William Speirs Bruce, embarked on an ambitious attempt to publish the expedition's scientific results in a series of high-quality reports. Sadly, by the time it came to the eighth volume (on geology) his funds were exhausted, and the series was abandoned. Nevertheless, many of the contributions that had been intended for that volume were produced; some were published elsewhere whilst unpublished proofs and archive notes survive for others. From these various sources the volume as planned by Bruce can be reconstructed. The key contributor was J. H. H. Pirie, a medical doctor and primarily the expedition's surgeon. Despite his limited relevant experience his geological observations were commendable, with the notable exception of an important palaeontological misidentification that was inexplicably supported by eminent British experts. The archive material illuminates the background to Pirie's contributions and the ways in which his unpublished work came to be preserved.

scholarly journals The Non-Commuting, Non-Generating Graph of a Nilpotent Group

10.37236/9802 ◽  
2021 ◽  
Vol 28 (1) ◽  
Author(s):  
Peter Cameron ◽  
Saul Freedman ◽  
Colva Roney-Dougal
Keyword(s):  
Maximal Subgroup ◽  
Nilpotent Group ◽  
Commuting Graph ◽  
Generating Graph ◽  
Central Elements ◽  
Vertex Set ◽  
Infinite Case ◽  
The Difference ◽  
The Relationship

For a nilpotent group $G$, let $\Xi(G)$ be the difference between the complement of the generating graph of $G$ and the commuting graph of $G$, with vertices corresponding to central elements of $G$ removed. That is, $\Xi(G)$ has vertex set $G \setminus Z(G)$, with two vertices adjacent if and only if they do not commute and do not generate $G$. Additionally, let $\Xi^+(G)$ be the subgraph of $\Xi(G)$ induced by its non-isolated vertices. We show that if $\Xi(G)$ has an edge, then $\Xi^+(G)$ is connected with diameter $2$ or $3$, with $\Xi(G) = \Xi^+(G)$ in the diameter $3$ case. In the infinite case, our results apply more generally, to any group with every maximal subgroup normal. When $G$ is finite, we explore the relationship between the structures of $G$ and $\Xi(G)$ in more detail.

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