The Fa,b,c conjecture, I

In 1977 a five-part conjecture was made about a family of groups related to trivalent graphs and one part of the conjecture was proved. The conjecture completely determines all finite members of the family. Here we prove another part of the conjecture and foreshadow a paper which completes the proof of the other three parts.

The Fa,b,c conjecture is true, II

In 1977 a five-part conjecture was made about a family of groups related to trivalent graphs and subsequently two parts of the conjecture were proved. The conjecture completely determines all finite members of the family. Here we complete the proof of the conjecture by giving proofs for the remaining three parts. (c) 2006 Elsevier Inc. All rights reserved.

"Sub Tiberio quies"? Judaea’s Political Situation under the Prefects (6-41 c.e.), between Reality and Ideology

Deeply conflicting views on the political situation of Judaea under the Roman prefects (6-41 c.e.) have been offered. According to some scholars, this was a period of persistent political unrest and agitation, whilst according to a widespread view it was a quiescent period of political calm (reflected in Tacitus’ phrase sub Tiberio quies). The present article critically examines again the main available sources –particularly Josephus, the canonical Gospels and Tacitus– in order to offer a more reliable historical reconstruction. The conclusions drawn by this survey calls into question some widespread and insufficiently nuanced views on the period. This, in turn, allows a reflection on the non-epistemic factors which might contribute to explain the origin of such views.

Macroalgas epífitas de Zostera marina L. en Bahía Concepción, B.C.S., México

Macroalgas epífitas de Zostera marina L. en Bahía Concepción, B. C. S. México.

Landscape strategies in Bronze Age Southwestern Cyprus (2500-1100 B.C.)

This thesis concerns the analysis of the socio-economic transformation of communities in Bronze Age southwestern Cyprus. Through the adoption of a dialectical perspective of analysis, individuals and environment are considered part of the same unity: they are cooperating agents in shaping society and culture. The Bronze Age is a period of intense transformation in the organization of local communities, made of a continuous renegotiation of the socio-economic roles and interactions. The archaeological record from this portion of the island allows one to go beyond the investigation of the complex and articulated transition from the EBA-MBA agro-pastoral and self-sufficient communities to the LBA centralized and trade-oriented urban-centres. Through a shifting of analytical scales, the emerging picture suggests major transformations in the individual-community-territory dialectical relations. A profound change in the materials conditions of social life, as well as in the superstructural realm, was particularly entailed by the dissolution of the relation to the earth, due to the emergence of new forms of land exploitation/ownership and to the shift of the settlement pattern in previously unknown areas. One of the key points of this thesis is the methodological challenge of working with legacy survey data as I re-analysed a diverse archaeological legacy, which is the result of more than fifty years of survey projects, rescue and research-oriented excavations, as well as casual discoveries. Source critique and data evaluation are essential requirements in an integrative and cross-disciplinary regional perspective, in the comprehensive processing of heterogeneous archaeological and environmental datasets. Through the estimation of data precision and certainty, I developed an effective - but simple - method to critically evaluate existing datasets and to inter-correlate them without losing their original complexity. This powerful method for data integration can be applied to similar datasets belonging to other regions and other periods as it originates from the evaluation of larger methodological and theoretical issues that are not limited to my spatial and temporal focus. As I argue in this thesis, diverse archaeological legacies can be efficiently re-analysed through an integrative and regional methodology. The adoption of a regional scale of analysis can provide an excellent perspective on the complexity of transformations in ancient societies, thus creating a fundamental bridge between the local stories and grand landscape narratives.

The conceptualisation of music in ancient Greek thought (V century B.C. – II century B.C.)

The focus of this dissertation is the analysis of the music-related philosophical passages from the 5th century B.C. to the 2nd century B.C. It aims to provide a multifaceted view towards music as a cultural phenomenon, which is based primarily on the philological and culturological explorations instead of the technical-musicological approach. The texts from our selected period attest that mousikē had an extremely broad conceptualisation which led to the attribution of the different, sometimes completely opposite value: from an insignificant performative practice to an activity which corresponds to the divine laws and directly affects the human soul. The discussed testimonia provide evidence of defining music both as an exclusively acoustic phenomenon and as a philosophically significant concept that oversteps the sonic definition. Our sources clearly demonstrate that mousikē was a polysemous term: it was understood as an interdisciplinary form of art (as the arts of the Muses), though it was also used to indicate the exclusively instrumental music or a philosophical concept, which does not necessarily define sound as its essential quality. The aim of this dissertation is to clarify the arguments behind each of these positions, to analyse whether such different modes of conceptualisation are compatible among themselves, and to see how they fit together into explaining what was understood as music in Antiquity. In this thesis we explore the conceptual framework of mousikē and analyse what enabled the musical thought to be worthy of the attention of the greatest philosophical minds. We will demonstrate that it was not the sound or the artistic practices that were central in the philosophical thought on music, but instead the embedded structural qualities that have correspondence to the universal proportions of the cosmic world and which are perceptible to the listeners through the medium of sound.

Trabecular Bone Score: A Noninvasive Analytical Method Based Upon the DXA Image.

The trabecular bone score (TBS) is a gray-level textural metric that can be extracted from the two-dimensional lumbar spine dual-energy X-ray absorptiometry (DXA) image. TBS is related to bone microarchitecture and provides skeletal information that is not captured from the standard bone mineral density (BMD) measurement. Based on experimental variograms of the projected DXA image, TBS has the potential to discern differences between DXA scans that show similar BMD measurements. An elevated TBS value correlates with better skeletal microstructure; a low TBS value correlates with weaker skeletal microstructure. Lumbar spine TBS has been evaluated in cross-sectional and longitudinal studies. The following conclusions are based upon publications reviewed in this article: 1) TBS gives lower values in postmenopausal women and in men with previous fragility fractures than their nonfractured counterparts; 2) TBS is complementary to data available by lumbar spine DXA measurements; 3) TBS results are lower in women who have sustained a fragility fracture but in whom DXA does not indicate osteoporosis or even osteopenia; 4) TBS predicts fracture risk as well as lumbar spine BMD measurements in postmenopausal women; 5) efficacious therapies for osteoporosis differ in the extent to which they influence the TBS; 6) TBS is associated with fracture risk in individuals with conditions related to reduced bone mass or bone quality. Based on these data, lumbar spine TBS holds promise as an emerging technology that could well become a valuable clinical tool in the diagnosis of osteoporosis and in fracture risk assessment. © 2014 American Society for Bone and Mineral Research.

Trabecular bone score: a noninvasive analytical method based upon the DXA image.

The trabecular bone score (TBS) is a gray-level textural metric that can be extracted from the two-dimensional lumbar spine dual-energy X-ray absorptiometry (DXA) image. TBS is related to bone microarchitecture and provides skeletal information that is not captured from the standard bone mineral density (BMD) measurement. Based on experimental variograms of the projected DXA image, TBS has the potential to discern differences between DXA scans that show similar BMD measurements. An elevated TBS value correlates with better skeletal microstructure; a low TBS value correlates with weaker skeletal microstructure. Lumbar spine TBS has been evaluated in cross-sectional and longitudinal studies. The following conclusions are based upon publications reviewed in this article: 1) TBS gives lower values in postmenopausal women and in men with previous fragility fractures than their nonfractured counterparts; 2) TBS is complementary to data available by lumbar spine DXA measurements; 3) TBS results are lower in women who have sustained a fragility fracture but in whom DXA does not indicate osteoporosis or even osteopenia; 4) TBS predicts fracture risk as well as lumbar spine BMD measurements in postmenopausal women; 5) efficacious therapies for osteoporosis differ in the extent to which they influence the TBS; 6) TBS is associated with fracture risk in individuals with conditions related to reduced bone mass or bone quality. Based on these data, lumbar spine TBS holds promise as an emerging technology that could well become a valuable clinical tool in the diagnosis of osteoporosis and in fracture risk assessment.

Trabecular bone score is associated with volumetric bone density and microarchitecture as assessed by central QCT and HRpQCT in Chinese American and white women.

Although high-resolution peripheral quantitative computed tomography (HRpQCT) and central quantitative computed tomography (QCT) studies have shown bone structural differences between Chinese American (CH) and white (WH) women, these techniques are not readily available in the clinical setting. The trabecular bone score (TBS) estimates trabecular microarchitecture from dual-energy X-ray absorptiometry spine images. We assessed TBS in CH and WH women and investigated whether TBS is associated with QCT and HRpQCT indices. Areal bone mineral density (aBMD) by dual-energy X-ray absorptiometry, lumbar spine (LS) TBS, QCT of the LS and hip, and HRpQCT of the radius and tibia were performed in 71 pre- (37 WH and 34 CH) and 44 postmenopausal (21 WH and 23 CH) women. TBS did not differ by race in either pre- or postmenopausal women. In the entire cohort, TBS positively correlated with LS trabecular volumetric bone mineral density (vBMD) (r = 0.664), femoral neck integral (r = 0.651), trabecular (r = 0.641) and cortical vBMD (r = 0.346), and cortical thickness (C/I; r = 0.540) by QCT (p < 0.001 for all). TBS also correlated with integral (r = 0.643), trabecular (r = 0.574) and cortical vBMD (r = 0.491), and C/I (r = 0.541) at the total hip (p < 0.001 for all). The combination of TBS and LS aBMD predicted more of the variance in QCT measures than aBMD alone. TBS was associated with all HRpQCT indices (r = 0.20-0.52) except radial cortical thickness and tibial trabecular thickness. Significant associations between TBS and measures of HRpQCT and QCT in WH and CH pre- and postmenopausal women demonstrated here suggest that TBS may be a useful adjunct to aBMD for assessing bone quality.

New York versus la tragedia y Edipo. El legado sofocleo -y sofístico- en Crimes and Misdemeanors de W. Allen

Más allá de la referencia explícita a la tragedia griega y Edipo, el objetivo de este artículo es presentar la estrecha relación, en opinión del autor, entre lo que mantienen los protagonistas en Crimes and Misdemeanors y las teorías de los sofistas griegos sobre Dios, la ley, etc. Una confrontación minuciosa de sus textos con el guión de la película revela claramente unas raíces sofísticas que no pueden ser atribuidas, en este caso, a la presencia constante del legado judío en la obra de W. Allen.

New York versus Tragedy and Oedipus. The Legacy of Sophocles and the Sophists in Woody Allen's "Crimes and Misdemeanors"

Beyond the explicit reference to the Greek tragedy and Oedipus, the aim of this article is to show the clear relationship, in the author's opinion, between what the protagonists of the film maintain and the theories of the Greek Sophists about God, the law, etc. An accurate analysis both of their texts and the screenplay of Crimes and Misdemeanors reveals different sophistic roots, which, in this case, cannot be attributed to the constant presence of the Jewish legacy in W. Allen's work.

New York versus la tragedia y Edipo. El legado sofocleo -y sofístico- en Crimes and Misdemeanors de W. Allen

Más allá de la referencia explícita a la tragedia griega y Edipo, el objetivo de este artículo es presentar la estrecha relación, en opinión del autor, entre lo que mantienen los protagonistas en Crimes and Misdemeanors y las teorías de los sofistas griegos sobre Dios, la ley, etc. Una confrontación minuciosa de sus textos con el guión de la película revela claramente unas raíces sofísticas que no pueden ser atribuidas, en este caso, a la presencia constante del legado judío en la obra de W. Allen.

New York versus la tragèdia i Èdip. El llegat de Sòfocles -i dels sofistes- a Crimes and Misdemeanors de W. Allen

Més enllà de la referència explícita a la tragèdia grega i Èdip, l'objectiu d'aquest article és presentar l'estreta relació, en opinió del autor, entre allò que mantenen els protagonistes a Crimes and Misdemanors i les teories del sofistes grecs sobre Déu, la llei, etc. Una confrontació acurada dels seus textos amb el guió de la pel·lícula revela clarament unes arrels sofístiques que no poden ser atribuïdes, en aquest cas, a la constant presència del llegat jueu en l'obra de W. Allen.