scholarly journals On a Generalization of Hofstadter’s Q-Sequence: A Family of Chaotic Generational Structures

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Altug Alkan

Hofstadter Q-recurrence is defined by the nested recurrence Qn=Qn−Qn−1+Qn−Qn−2, and there are still many unanswered questions about certain solutions of it. In this paper, a generalization of Hofstadter’s Q-sequence is proposed and selected members of this generalization are investigated based on their chaotic generational structures and Pinn’s statistical technique. Solutions studied have also curious approximate patterns and considerably similar statistical properties with Hofstadter’s famous Q-sequence in terms of growth characteristics of their successive generations. In fact, the family of sequences that this paper introduces suggests the existence of conjectural global properties in order to classify unpredictable solutions to Q-recurrence and a generalization of it.

2013 ◽  
Vol 1 (1) ◽  
pp. 49-59 ◽  
Author(s):  
Shun-Qing Shen

Abstract The discovery of topological insulators and superconductors is an important advance in condensed matter physics. Topological phases reflect global properties of the quantum states in materials, and the boundary states are the characteristic of the materials. Such phases constitute a new branch in condensed matter physics. Here a historic development is briefly introduced, and the known family of phases in condensed matter are summarized.


1981 ◽  
Vol 32 (4) ◽  
pp. 427-451 ◽  
Author(s):  
J. C. Ward

The great expansion in monasticism in Normandy and England in the eleventh and twelfth centuries is a commonplace of medieval history, as is the marked diminution in monastic grants after c. 1200. Far more attention, however, has been paid to the religious houses than to their founders, and it is only by looking at a baronial family over a long period that one can discern the fashions which undoubtedly existed in monastic benefaction and the changes in attitude of successive generations. The Clare family were both long-lasting and prolific, and, because of the numerous changes in the landed position of various members of the family, it is possible to see how closely in the eleventh and twelfth centuries the acquisition of new territories and the endowment of monasteries went together. Moreover, we are able to trace the changing preferences for different monastic orders and, to some extent, the reasons for this, and, in addition, to see this in the context not only of Normandy and England, but of Wales and Ireland as well. Whereas in the eleventh and early twelfth century, the Clares' gifts passed to Benedictine houses, many of them Norman or with Norman connections, they became more interested later in the new orders of the Augustinian canons and Cistercians which were spreading rapidly over Europe. At the same time they made grants to the military orders of the Hospitallers and Templars which, by giving knights the opportunity to combine fighting with a monastic life, fused two ideals of the twelfth-century world. In contrast to the variety and amount of these monastic benefactions, the Clares were content in the thirteenth century to make only the occasional grant, but they were insistent on maintaining their rights of patronage. In addition, their interest turned to the new orders of friars. There is, however, no indication here of continuous family interest from one generation to the next as would have been the case in the early twelfth century.


2013 ◽  
Vol 14 (5) ◽  
pp. 867-885 ◽  
Author(s):  
Alfredo M. Bobillo ◽  
Juan A. Rodríguez-Sanz ◽  
Fernando Tejerina-Gaite

We present the internationalization of the family firm (FF) as a corporate growth strategy that is sometimes necessary to ensure survival. The different generations running the family firm (GFF) are likely to be constrained, not only by the demands of the business itself, but also by activism from non-management family shareholders. In this paper, we perform an analysis of a sample of Spanish family firms, both domestic and multinational, for the period 2000–2009. The results of this analysis show evidence of a positive relationship between the scope of internationalization and two other variables: family activism (FAI) and life cycle duration of the family firm (DLFF). When it comes to seeking alternative ways to create economic value and obtain debt finance, each generation is less risk averse than the preceding one. However, increasing family conflict over successive generations instigates economic value-destroying behavior. Overall, our findings suggest that economic value creation, leverage and international diversification in FFs will be conditioned not only by the ownership structure and size of the company, but also by the firm's current point in the business life cycle, the generation that is in charge, and activism from other family members, all of which play a decisive role in the FF internationalization and economic value creation process.


2001 ◽  
Vol 14 (2) ◽  
pp. 105-121 ◽  
Author(s):  
Philip J. Perricone ◽  
John R. Earle ◽  
Ian M. Taplin

This paper examines ways in which patriarchalqfamilistic cultural systems condition responses to the kinds of social and economic changes that challenge family-owned businesses. Using a case study of an ethnic enclave in the southeastern United States, the paper looks at intergenerational succession, paying particular attention to how small firms manage to transfer control within the family. Key to successful transfer is the presence of trust and the utilization of social capital as well as the ability of successive generations to acquire skills that enable them to identify new market niches. The manuscript also discusses how firms manage conflict between old and new ideas, develop informal mechanisms for incorporating new ideas, and maintain the flexibility necessary for market survival.


Author(s):  
Haiyue Wang ◽  
Zhenhua Bao

In this paper, a cubic transformation exponential Weibull distribution is proposed by using the family of cubic transformation distributions introduced by Rahman et al.The reasoning process of the proposed cubic transformation exponential Weibull distribution is discussed in detail, and its statistical properties and parameter estimation are also discussed.Using real data, the maximum likelihood estimation is used to simulate. Through the comparison of fitting results, it is concluded that the cubic transformation exponential Weibull distribution proposed in this paper has stronger applicability.


1941 ◽  
Vol 73 (4) ◽  
pp. 507-530 ◽  
Author(s):  
Jerome T. Syverton ◽  
George Packer Berry

The Western type of equine encephalomyelitis virus can be passed as an hereditary infection in a tick of the family Ixodidae, Dermacentor andersoni Stiles. Under experimental conditions, this virus has been carried in this tick for two successive generations, possibly for a third, passing certainly once, and possibly twice, from the female through the eggs to the larvae. The virus-carrying larval, nymphal, and adult stages of this tick, furthermore, are capable of infecting susceptible hosts when they are permitted to feed on them.


2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Alfredo Giambrone ◽  
Emanuel Malek ◽  
Henning Samtleben ◽  
Mario Trigiante

Abstract We study a one-parameter family of $$ \mathcal{N} $$ N = 2 anti-de Sitter vacua with U(1)2 symmetry of gauged four-dimensional maximal supergravity, with dyonic gauge group [SO(6) × SO(1, 1)] ⋉ ℝ12. These backgrounds are known to correspond to Type IIB S-fold solutions with internal manifold of topology S1 × S5. The family of AdS4 vacua is parametrized by a modulus χ. Although χ appears non-compact in the four-dimensional supergravity, we show that this is just an artefact of the four-dimensional description. We give the 10-dimensional geometric interpretation of the modulus and show that it actually has periodicity of $$ \frac{2\pi }{T} $$ 2 π T , which is the inverse radius of S1. We deduce this by providing the explicit D = 10 uplift of the family of vacua as well as computing the entire modulus-dependent Kaluza-Klein spectrum as a function of χ. At the special values χ = 0 and χ = $$ \frac{\pi }{T} $$ π T , the symmetry enhances according to U(1)2 → U(2), giving rise however to inequivalent Kaluza-Klein spectra. At χ = $$ \frac{\pi }{T} $$ π T , this realizes a bosonic version of the “space invaders” scenario with additional massless vector fields arising from formerly massive fields at higher Kaluza-Klein levels.


2005 ◽  
Vol 37 (6) ◽  
pp. 673-687
Author(s):  
GILLES BOËTSCH ◽  
MICHEL PROST ◽  
EMMA RABINO-MASSA

As part of a survey of the biological history of Alpine populations, the lineages of all the families of the Vallouise valley (a French ‘department’ of the Hautes Alpes) have been reconstructed over several centuries. The genealogies have been included in a computerized population record, known as ‘Vallouise in the Briançon area (14th–20th centuries)’, using the French–Canadian programme Analypop. Most of the professions of the family heads were included in the files. In this study, various profession groups were identified and their descents determined over successive generations. In this mountain area, where over 92% of marriages took place among relatives during the 19th century, the profession groups modulated their descents according to chosen strategies, sometimes with considerable differences among groups but with a remarkable consistency of behaviour. Moreover, there was weak interpenetration in the descents of each profession at both the 2nd and 3rd generations.


Author(s):  
Aliyu Ismail Ishaq ◽  
Abubakar Usman ◽  
Tasiu Musa ◽  
Samson Agboola

ABSTRACTThis articles introduces a new lifetime model called the generalized transmuted Kumaraswamy distribution which extends the Kumaraswamy distribution from the family proposed by Nofal et al., (2017). We provide hazard and survival functions of the proposed distribution. The statistical properties of the proposed model are provided and the method of Maximum Likelihood Estimation (MLE) was proposed in estimating its parameters.


2005 ◽  
Vol 18 (1) ◽  
pp. 41-56 ◽  
Author(s):  
Lorraine M. Uhlaner

This research study tests whether family orientation criteria in small-to-medium-sized businesses (SMEs) can be ordered in difficulty from broad to narrow, using an existing statistical technique referred to as the Guttman scaleogram or scale. The results of the study lend support to the notion of imbeddedness of criteria, at least among SMEs, that is, some criteria are easier to meet than others, and also that the sets of firms meeting the more difficult criteria are subsets of the firms meeting easier criteria. Furthermore, in the sample under study (885 Dutch SMEs), the family orientation index produced via Guttman scaling techniques predicts self-perceptions as a family business almost as well as a statistical approach treating criteria as separate variables in a multiple regression.


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