A History of Analysis

2003 ◽  
Keyword(s):  
History Of ◽  
History Of Analysis

Continuity and Intuition in Eighteenth-Century Analysis and in Kant

2020 ◽  
pp. 158-186
Author(s):  
Daniel Sutherland
Keyword(s):  
Eighteenth Century ◽  
18Th Century ◽  
The Status ◽  
History Of ◽  
History Of Analysis ◽  
The Continuum ◽  
Interesting Account ◽  
The Way

This chapter considers the status of geometrical and kinematic representations in the foundations of 18th century analysis and in Kant’s understanding of those foundations. It has two aims. First, relying on relatively recent reassessments of the history of analysis, it will attempt to bring forward a more accurate account of intuitive representation in 18th century analysis and the relation between British and Continental mathematics. Second, it will give a better account of Kant’s place in that history. The result shows that although Kant did no better at navigating the labyrinth of the continuum than his contemporaries, he had a more interesting and reasonable account of the foundations of analysis than an easy reading of either Kant or that history provides. It also permits a more accurate and interesting account of how and when a conception of foundations of analysis without intuitive representations emerged, and how that paved the way for Bolzano and Cauchy.

scholarly journals Ten Misconceptions from the History of Analysis and Their Debunking

2012 ◽  
Vol 18 (1) ◽  
pp. 43-74 ◽  
Author(s):  
Piotr Błaszczyk ◽  
Mikhail G. Katz ◽  
David Sherry
Keyword(s):  
History Of ◽  
History Of Analysis

scholarly journals Hydraphiles: A Rigorously Studied Class of Synthetic Channel Compounds withIn VivoActivity

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Saeedeh Negin ◽  
Bryan A. Smith ◽  
Alexandra Unger ◽  
W. Matthew Leevy ◽  
George W. Gokel
Keyword(s):  
Mammalian Cells ◽  
Ion Homeostasis ◽  
Planar Bilayers ◽  
Ion Flow ◽  
Synthetic Ion Channels ◽  
Wide Range ◽  
History Of ◽  
Polarity Sensitive ◽  
History Of Analysis

Hydraphiles are a class of synthetic ion channels that now have a twenty-year history of analysis and success. In early studies, these compounds were rigorously validated in a wide range ofin vitroassays including liposomal ion flow detected by NMR or ion-selective electrodes, as well as biophysical experiments in planar bilayers. During the past decade, biological activity was observed for these compounds including toxicity to bacteria, yeast, and mammalian cells due to stress caused by the disruption of ion homeostasis. The channel mechanism was verified in cells using membrane polarity sensitive dyes, as well as patch clamping studies. This body of work has provided a solid foundation with which hydraphiles have recently demonstrated acute biological toxicity in the muscle tissue of living mice, as measured by whole animal fluorescence imaging and histological studies. Here we review the critical structure-activity relationships in the hydraphile family of compounds and thein vitroandin celluloexperiments that have validated their channel behavior. This report culminates with a description of recently reported efforts in which these molecules have demonstrated activity in living mice.

HIGH ENERGY PROTON PIXE [HEPP]

1993 ◽  
Vol 03 (03) ◽  
pp. 187-214 ◽  
Author(s):  
J.S.C. McKEE
Keyword(s):  
Review Paper ◽  
Analytical Techniques ◽  
High Energy ◽  
Low Energy ◽  
X Ray ◽  
Energy Proton ◽  
History Of ◽  
History Of Analysis ◽  
Compare And Contrast ◽  
Mev Protons

Studies of particle induced X-ray emission (PIXE) have been widespread and detailed in recent years and despite the fact that most data obtained are from low energy 1–3 MeV experiments, the value of higher energy proton work with its emphasis on K X-ray emission has become more marked as time has progressed. The purpose of this review paper is to outline the history of analysis using high energy protons and to compare and contrast the results obtained with those from lower energy analysis using more firmly established analytical techniques. The work described will concentrate exclusively on proton induced processes and will attempt to outline the rationale for selecting an energy, greater than 20 and up to 70 MeV protons for initiating particles. The relative ease and accuracy of the measurements obtained will be addressed. Clearly such X-ray studies should be seen as complementing low energy work in many instances rather than competing directly with them. However, it will be demonstrated that above a Z value of approximately 20, K X-ray analysis using high energy protons is the only way to go in this type of analysis.

scholarly journals Post-Communist Romanian cinema: context and the turn to realism

2021 ◽  
Author(s):  
Dana Iliescu
Keyword(s):  
Film Studies ◽  
Close Association ◽  
Academic Discipline ◽  
Communist Regime ◽  
National Cinema ◽  
History Of ◽  
Romanian Cinema ◽  
Everyday Reality ◽  
History Of Analysis ◽  
Film Critic

"Romanian cinema needs to start again from scratch. It has to regain a sense of everyday reality and it has to render truthfully an important slice of recent history which has been horribly falsified. A blast of Neorealism is practically a moral obligation for our cinema at this time in its history." - Eugenia Voda, film critic, 1995. Romanian film critic Eugenia Voda has made this nearly prophetic statement only five years after the end of Romania's communist regime. Yet more than prophetic, her remark was an appeal to filmmakers, and their conscious as well as conscientious sense of truth. Although more than ten years have passed since, her words often resonate in close association with recent Romanian films and their honest representation of social reality, unique in the history of Romanian cinema. But to what extent is recent Romanian cinema a national cinema? Given the Western history of analysis of foreign cinematic productions, any current examination of non-Western films within a Western theoretical context must be carried out in relation to the prior theoretical developments, debates, and conclusions within the national cinema framework. Benedict Anderson's concept of the "imagined community' resides as foundation in the process of defining what is national (Anderson, 1983). When speaking of nationalist media, Anderson claims that while a nation is portrayed as a community, it is only an imagined one. Members of a nation do not all know each other, "yet in the minds of each lives the image of their communion" (Anderson, 1983, p.6). From this perspective, cinema's popularity and ease of distribution has led to films becoming part of mass communications, and thus it can easily play a role in disseminating both national and nationalist ideals. persisted as a theoretical framework during the development and establishment of film studies as a Western academic discipline.

Sign in / Sign up

Export Citation Format

Share Document