Probability limit theorems in infinite-dimensional spaces give conditions un der which convergence holds uniformly over an infinite class of sets or functions. Early results in this direction were the Glivenko-Cantelli, Kolmogorov-Smirnov and Donsker theorems for empirical distribution functions. Already in these cases there is convergence in Banach spaces that are not only infinite-dimensional but nonsep arable. But the theory in such spaces developed slowly until the late 1970's. Meanwhile, work on probability in separable Banach spaces, in relation with the geometry of those spaces, began in the 1950's and developed strongly in the 1960's and 70's. We have in mind here also work on sample continuity and boundedness of Gaussian processes and random methods in harmonic analysis. By the mid-70's a substantial theory was in place, including sharp infinite-dimensional limit theorems under either metric entropy or geometric conditions. Then, modern empirical process theory began to develop, where the collection of half-lines in the line has been replaced by much more general collections of sets in and functions on multidimensional spaces. Many of the main ideas from probability in separable Banach spaces turned out to have one or more useful analogues for empirical processes. Tightness became "asymptotic equicontinuity. " Metric entropy remained useful but also was adapted to metric entropy with bracketing, random entropies, and Kolchinskii-Pollard entropy. Even norms themselves were in some situations replaced by measurable majorants, to which the well-developed separable theory then carried over straightforwardly.
Probability limit theorems in infinite-dimensional spaces give conditions un der which convergence holds uniformly over an infinite class of sets or functions. Early results in this direction were the Glivenko-Cantelli, Kolmogorov-Smirnov and Donsker theorems for empirical distribution functions. Already in these cases there is convergence in Banach spaces that are not only infinite-dimensional but nonsep arable. But the theory in such spaces developed slowly until the late 1970's. Meanwhile, work on probability in separable Banach spaces, in relation with the geometry of those spaces, began in the 1950's and developed strongly in the 1960's and 70's. We have in mind here also work on sample continuity and boundedness of Gaussian processes and random methods in harmonic analysis. By the mid-70's a substantial theory was in place, including sharp infinite-dimensional limit theorems under either metric entropy or geometric conditions. Then, modern empirical process theory began to develop, where the collection of half-lines in the line has been replaced by much more general collections of sets in and functions on multidimensional spaces. Many of the main ideas from probability in separable Banach spaces turned out to have one or more useful analogues for empirical processes. Tightness became "asymptotic equicontinuity. " Metric entropy remained useful but also was adapted to metric entropy with bracketing, random entropies, and Kolchinskii-Pollard entropy. Even norms themselves were in some situations replaced by measurable majorants, to which the well-developed separable theory then carried over straightforwardly.
Probability limit theorems in infinite-dimensional spaces give conditions un der which convergence holds uniformly over an infinite class of sets or functions. Early results in this direction were the Glivenko-Cantelli, Kolmogorov-Smirnov and Donsker theorems for empirical distribution functions. Already in these cases there is convergence in Banach spaces that are not only infinite-dimensional but nonsep arable. But the theory in such spaces developed slowly until the late 1970's. Meanwhile, work on probability in separable Banach spaces, in relation with the geometry of those spaces, began in the 1950's and developed strongly in the 1960's and 70's. We have in mind here also work on sample continuity and boundedness of Gaussian processes and random methods in harmonic analysis. By the mid-70's a substantial theory was in place, including sharp infinite-dimensional limit theorems under either metric entropy or geometric conditions. Then, modern empirical process theory began to develop, where the collection of half-lines in the line has been replaced by much more general collections of sets in and functions on multidimensional spaces. Many of the main ideas from probability in separable Banach spaces turned out to have one or more useful analogues for empirical processes. Tightness became "asymptotic equicontinuity. " Metric entropy remained useful but also was adapted to metric entropy with bracketing, random entropies, and Kolchinskii-Pollard entropy. Even norms themselves were in some situations replaced by measurable majorants, to which the well-developed separable theory then carried over straightforwardly.
In this sweeping look at political and philosophical history, Linda M. G. Zerilli unpacks the tightly woven core of Hannah Arendt’s unfinished work on a tenacious modern problem: how to judge critically in the wake of the collapse of inherited criteria of judgment. Engaging a remarkable breadth of thinkers, including Ludwig Wittgenstein, Leo Strauss, Immanuel Kant, Frederick Douglass, John Rawls, Jürgen Habermas, Martha Nussbaum, and many others, Zerilli clears a hopeful path between an untenable universalism and a cultural relativism that forever defers the possibility of judging at all. Zerilli deftly outlines the limitations of existing debates, both those that concern themselves with the impossibility of judging across cultures and those that try to find transcendental, rational values to anchor judgment. Looking at Kant through the lens of Arendt, Zerilli develops the notion of a public conception of truth, and from there she explores relativism, historicism, and universalism as they shape feminist approaches to judgment. Following Arendt even further, Zerilli arrives at a hopeful new pathway—seeing the collapse of philosophical criteria for judgment not as a problem but a way to practice judgment anew as a world-building activity of democratic citizens. The result is an astonishing theoretical argument that travels through—and goes beyond—some of the most important political thought of the modern period.
This is the first English commentary on Josephus’ Against Apion, his apologetic treatise which rebuts Egyptian and Hellenistic slurs on the Judean people. Accompanied by a new translation, the commentary provides full analysis of the historical, literary, and rhetorical features of the treatise, and analyses its engagement with the cultural politics of the ancient world.
Reflecting the growing volume of published work in this field, researchers will find this book an invaluable source of information on current methods and applications.
A number of new methods for solving singular and hypersingular integral equations have emerged in recent years. This volume presents some of these new methods along with classical exact, approximate, and numerical methods. The authors explore the analysis of hypersingular integral equations based on the theory of pseudodifferential operators and co
This proceedings volume is sixth in the series of international conferences covering the fission, quasi-fission, fusion-fission phenomena and synthesis of superheavy nuclei, mainly at low or near barrier energies. Both experimental and theoretical issues are covered. The topics are discussed by a group of participants, and an overview of the current activities in the field is given.
John Barclay explores Pauline theology anew from the perspective of grace. Arguing that Paul's theology of grace is best approached in light of ancient notions of "gift," Barclay describes Paul's relationship to Judaism in a fresh way. Barclay focuses on divine gift-giving, which for Paul, he says, is focused and fulfilled in the gift of Christ. He both offers a new appraisal of Paul's theology of the Christ-event as gift as it comes to expression in Galatians and Romans and presents a nuanced and detailed consideration of the history of reception of Paul, including Augustine, Luther, Calvin, and Barth.
As an addition to the European postgraduate training system for young neurosurgeons we began to publish in 1974 this series devoted to Advances and Technical Standards in Neurosurgery which was later sponsored by the European Association of Neurosurgical Societies. The fact that the English language is well on the way to becoming the international medium at European scientific conferences is a great asset in terms of mutual understanding. Therefore we have decided to publish all contributions in English, regardless of the native language of the authors. All contributions are submitted to the entire editorial board before publication of any volume. Our series is not intended to compete with the publications of original scientific papers in other neurosurgical journals. Our intention is, rather, to present fields of neurosurgery and related areas in which important recent advances have been made. The contributions are written by specialists in the given fields and constitute the first part of each volume. In the second part of each volume, we publish detailed descriptions of standard operative procedures, furnished by experienced clinicians; in these articles the authors describe the techniques they employ and explain the advantages, difficulties and risks involved in the various procedures. This part is intended primarily to assist young neurosurgeons in their post graduate training. However, we are convinced that it will also be useful to experienced, fully trained neurosurgeons.
Most general accounts of the reformation concentrate on its events and personalities while recent scholarship has been largely devoted to its social and economic consequences. Benard Reardon's famous book has been designed specifically to reassert the role of religion in the study of reformation history and make the theological issues and arguments that fuelled it accessible to non-specialists today.
The first volume in a two-book series about each of the atomic bomb drops that ended the Pacific War based on years of irreplicable personal interviews with survivors to tell a story of devastation and resilience In this vividly rendered historical narrative, M. G. Sheftall layers the stories of hibakusha—the Japanese word for atomic bomb survivors—in harrowing detail, to give a minute-by-minute report of August 6, 1945, in the leadup and aftermath of the world-changing bombing mission of Paul Tibbets, Enola Gay, and Little Boy. These survivors and witnesses, who now have an average age over ninety years old, are quite literally the last people who can still provide us with reliable and detailed testimony about life in their cities before the bombings, tell us what they experienced on the day those cities were obliterated, and give us some appreciation of what it has entailed to live with those memories and scars during the subsequent seventy-plus years. Sheftall has spent years personally interviewing survivors who lived well into the twenty-first century, allowing him to construct portraits of what Hiroshima was like before the bomb, and how catastrophically its citizens’ lives changed in the seconds, minutes, days, weeks, months, and years afterward. He stands out among historians due to his fluency in spoken and written Japanese, and his longtime immersion in Japanese society that has allowed him, a white American, the unheard-of access to these atomic bomb survivors in the waning years of their lives. Their trust in him is evident in the personal and traumatic depths they open up for him as he records their stories. Hiroshima should be required reading for the modern age. The personal accounts it contains will serve as cautionary tales about the horror and insanity of nuclear warfare, reminding them—it is hoped—that the world still lives with this danger at our doorstep.
IMF conditionality has been severely criticised by developing countries, who accuse the Fund of unjustly provoking political turmoil and causing poverty. This refers to the policies that a member country is required to follow in order to be able to use the Fund's resources. Conditionality is legally based on the requirement to adopt `adequate safeguards' for the use of resources as stipulated by the IMF's Articles of Agreement. This work focuses on legal implications and policy aspects and, more specifically, on the question of how far-reaching the requirement of `adequate safeguards' may be. Furthermore, the author demonstrates that conditionality is also affected by cooperative arrangements with other institutions, such as the World Bank and United Nations. A major conclusion is that there should be improvements in cooperation and in the monitoring of the application of Fund law on conditionality. Scholars and students who take a deep interest in international economic relations will find this book a unique opportunity to study the legal framework of conditionality. Government officials preparing for negotiations with the Fund will also benefit from reading this work.
The fighting bishop or abbot is a familiar figure to medievalists and much of what is known of the military organization of England in this period is based on ecclesiastical evidence. Unfortunately the fighting cleric has generally been regarded as merely a baron in clerical dress and has consequently fallen into the gap between military and ecclesiastical history. This study addresses three main areas: which clergy engaged in military activity in England, why and when? By what means did they do so? And how did others understand and react to these activities? The book shows that, however vivid such characters as Odo of Bayeux might be in the historical imagination, there was no archetypal militant prelate. There was enormous variation in the character of the clergy that became involved in warfare, their circumstances, the means by which they pursued their military objectives and the way in which they were treated by contemporaries and described by chroniclers. An appreciation of the individual fighting cleric must be both thematically broad and keenly aware of his context. Such individuals cannot therefore be simply slotted into easy categories, even (or perhaps especially) when those categories are informed by contemporary polemic. The implications of this study for our understanding of clerical identity are considerable, as the easy distinction between clerics acting in a secular or ecclesiastical capacity almost entirely breaks down and the legal structures of the period are shown to be almost as equivocal and idiosyncratic as the literary depictions. The implications for military history are equally striking as organisational structures are shown to be more temporary, fluid and 'political' than had previously been understood.
Microsurgery Applied to Neurosurgery focuses on microsurgical approaches to cerebrospinal lesions, including plastic surgery, suturing techniques, instruments for microsurgery, and microsurgical operations. The manuscript first offers information on the history of microsurgery and the operating microscope. Discussions focus on bipolar electric coagulation, plastic surgery, peripheral nerves, clinical application, binocular diploscope, automatic microscope stand, sterile covering of the microscope, and magnification. The text also elaborates on the instruments for microsurgery and suturing techniques. The publication takes a look at experimental microsurgical operations in animals and reconstructive and constructive surgery of the cerebral arteries in man. The manuscript also ponders on intracranial tumors and transnasal-transsphenoidal approach to the pituitary gland. Topics include transsphenoidal approach, suboccipital transmeatal approach, spinal tumors, and preoperative radiological study. The manuscript is a dependable reference for health professionals and readers interested in microsurgery.
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