3 research outputs found
Alternative Proof of Frullani\u27s Theorem and Applications in Evaluating Frullani Integrals
No full textThis article provides an alternative proof for the Frullani integral formula using an approach different from the existing one. This alternative proof gave us a novel method for evaluating certain improper integrals of Frullani type. Moreover, the alternative proof also obtained an exciting result relating the Frullani integral to a specific class of improper double integrals—the alternative proof started by stating and proving lemmas used as stepping stones to obtain the main proof. An essential condition was also imposed to obtain the desired result
Agriculture and society in Central Mexico : the Valley of Tulancingo in the late colonial period (1700-1825)
No full textThis study provides a first approach to the economic and social history of the
Valley of Tulancingo in the late colonial period. In examining the development of
this agricultural area of central Mexico, the author discusses the broader
transformations that affected the country as a whole during the eighteenth and
early nineteenth centuries: population growth, migration, urbanization, and the
commercialization of agriculture. On this score, the study participates in the
current debate on the best way to characterize the Mexican agricultural sector at
the end of the colonial rule. Most modern historiography tends to emphasize that
demographic growth transformed the traditional balance between population
and resources and was a major cause of economic and social disruption in the
countryside. The author combines new evidence with recent findings from the
specialist literature, to argue that Tulancingo fully participated in the roster of
economic and social changes of the period. The work begins with a description of
Tulancingo's population trends and an analysis of the spatial distribution of the
population. It goes on with an analysis of the Valley's agricultural economy,
describing the complementary rural elements of Indian communities and
haciendas, and examining a series of related transformations in landholding,
marketing, and social relations. This study will be of interest to anyone
concerned with Mexican economic and social history, or the history of
agriculture
The sestiere of San Polo : a cross section of Venetian society in the second half of the fifteenth century
No full textThis thesis seeks to add to our understanding of Venetian
society in the latter half of the fifteenth century by
offering a new approach: an in-depth study of one of
Venice's six districts (sestier1). My researches
concentrated on the sestiere of San Polo, which embraced
the Rialto. My intention in narrowing the focus of analysis
is to reveal a cross-section of society. Fundamental to this
inquiry is to discover the identity of this sestiere; to
explore its little known social profile, trades and
solidarities and to sharpen the images of its urban fabric.
At the same time, it is an investigation into the
significance and role of neighbourhood and local loyalties
in Renaissance Venice. The opening chapter discusses the
changing topography of San Polo and its definition over the
following three centuries. Boundaries were blurred; parish
disputes document how and why they were changed. Chapter Two
introduces the three social orders recognised by
contemporaries (patriciate, citizenry and artisans), tracing
the sharpening of hierarchy, the growing cohesion of the
cittadini originarii and the emergence of poorer
neighbourhoods towards the city's margins. Chapter Three
investigates noble and cittadini families in San Polo,
through a number of detailed case studies. A complex and
varied picture emerged, in which family structures and
residential patterns amongst the nobility did not conform to
rigid models. Chapter Four attempts to flesh out a
collective portrait of the "little people", beginning with
Rialto. Chapters Five and Six discuss property; initially
through a massive survey after the Rialto fire (1514);
Quattrocento sources are then used to examine property at
Rialto, domestic housing, building activity and renting. The
final chapter deals with neighbourhood, concluding that the
sestiere was not an effective social unit and that local
loyalties formed part of complex and changing webs of
allegiance
