On a series of Goldbach and Euler

Theorem 1 of Euler s paper of 1737 'Variae Observationes Circa Series Infinitas', states the astonishing result that the series of all unit fractions whose denominators are perfect powers of integers minus unity has sum one. Euler attributes the Theorem to Goldbach. The proof is one of those examples of misuse of divergent series to obtain correct results so frequent during the seventeenth and eighteenth centuries. We examine this proof closelyand, with the help of some insight provided by a modern (and completely dierent) proof of the Goldbach-Euler Theorem, we present a rational reconstruction in terms which could be considered rigorous by modern Weierstrassian standards. At the same time, with a few ideas borrowed from nonstandard analysis we see how the same reconstruction can be also be considered rigorous by modern Robinsonian standards. This last approach, though, is completely in tune with Goldbach and Euler s proof. We hope to convince the reader then how, a few simple ideas from nonstandard analysis, vindicate Euler's work.

State capacity and military conflict

In 1500, Europe was composed of hundreds of statelets and principalities, with weak central authority,no monopoly over the legitimate use of violence, and overlapping jurisdictions. By 1800, only ahandful of powerful, centralized nation states remained. We build a model that explains both the emergenceof capable states and growing divergence between European powers. We argue that the impactof war was crucial for state building, and depended on: i) the financial cost of war, and ii) a country sinitial level of domestic political fragmentation. We emphasize the role of the "Military Revolution",which raised the cost of war. Initially, this caused more cohesive states to invest in state capacity, whilemore divided states rationally dropped out of the competition, causing divergence between Europeanstates. As the cost of war escalated further, all states engaged in a "race to the top" towards greater statebuilding.

The State of the Immigrant Body and the Body of the State: Negotiations at the Interface

Using an ethnographic analysis of the social interfaces between state agents and Cape Verdean students in Portugal, observed through participant observation in medical appointments, social work, immigration services and legal support to immigrants, this article aims to examine disciplinary state practices and the negotiations and power struggles that take place. The ethnographic cases discussed demonstrate how the idea of a fair and neutral state is simultaneously reproduced and denied in practice, thus elucidating the state as a symbol of union of an effective disunity. The ethnographic examples also indicate other dimensions of state practice, besides micro-disciplinary powers, which create room for flexibility and adaptation. And it is in this sense that ethnographies of interfaces between state and citizen offer a more relative perspective of excessively systematic interpretations of governmentality, illustrating how the effects of contradictory state practices are as unpredictable as human action itself.

Contractual allocation of decision rights and incentives: The case of automobile distribution

We analyze empirically the allocation of rights and monetary incentives in automobile franchise contracts. These contracts substantially restrict the decision rights of dealers and grant manufacturers extensive contractual completion and enforcement powers, converting the manufacturers, de facto, in a sort of quasi-judiciary instance. Variation in the allocation of decision rights andincentive intensity is explained by the incidence of moral hazard in the relation. In particular, when the cost of dealer moral hazard is higher and the risk of manufactureropportunism is lower, manufacturers enjoy more discretion in determining the performance required from their dealers and in using mechanisms such as monitoring, termination and monetary incentives to ensure such performance is provided. We also explore the existence of interdependencies between the different elements of the system. and find some complementarities between completion and termination rights, and between monitoring rights and the intensity of incentives.

An evolutionary model explaining the Neolithic transition from egalitarianism to leadership and despotism.

The Neolithic was marked by a transition from small and relatively egalitarian groups to much larger groups with increased stratification. But, the dynamics of this remain poorly understood. It is hard to see how despotism can arise without coercion, yet coercion could not easily have occurred in an egalitarian setting. Using a quantitative model of evolution in a patch-structured population, we demonstrate that the interaction between demographic and ecological factors can overcome this conundrum. We model the coevolution of individual preferences for hierarchy alongside the degree of despotism of leaders, and the dispersal preferences of followers. We show that voluntary leadership without coercion can evolve in small groups, when leaders help to solve coordination problems related to resource production. An example is coordinating construction of an irrigation system. Our model predicts that the transition to larger despotic groups will then occur when: (i) surplus resources lead to demographic expansion of groups, removing the viability of an acephalous niche in the same area and so locking individuals into hierarchy; (ii) high dispersal costs limit followers' ability to escape a despot. Empirical evidence suggests that these conditions were probably met, for the first time, during the subsistence intensification of the Neolithic.

Translating from India and the Moving Space of Translation (Illustrated by the Works of Ajñeya)

The inadequacies and obsolescence of Eurocentric theories based on a binaryand static worldview have become a staple topic of postcolonial studies, and tosome extent also of translation studies. Nonetheless, the literary texts that arecalled upon in order to show the dynamism and hybridity of (post)modern worksbelong for the most part to the languages of the former colonial powers, especiallyEnglish, and remain inserted in a system that construes literatures interms of opposition. As a consequence, there is outside India a doubly misleadingunderstanding of Indian literatures other than those written in English:firstly, that translations of works in Hindi and in the Indian bhāṣā seem to belacking, if not inexistent, and secondly, that these "minor" literatures - as theyare regularly termed - are still often viewed as being highly dependent on theidea of "tradition," in opposition to the "postmodern" hybridity of the literatureswritten in the "dominant" languages, such as English or French. Againstthese views and supported by the analysis of Ajñeya's works in Hindi togetherwith their English translations, this paper aims to show: 1) that translationsfrom Hindi, which are not in fact non-existent, are mainly carried out in India,and 2) that Ajñeya's works, while representing a significant instance of the effectivehybridity present in Indian literatures, help to illustrate the moving spaceof translation. This demonstration effectively invalidates the above-mentionedoppositional standpoint.

Raman scattering and photoluminescence analysis of silicon on insulator structures obtained by single and multiple oxygen implants

An analysis of silicon on insulator structures obtained by single and multiple implants by means of Raman scattering and photoluminescence spectroscopy is reported. The Raman spectra obtained with different excitation powers and wavelengths indicate the presence of a tensile strain in the top silicon layer of the structures. The comparison between the spectra measured in both kinds of samples points out the existence in the multiple implant material of a lower strain for a penetration depth about 300 nm and a higher strain for higher penetration depths. These results have been correlated with transmission electron microscopy observations, which have allowed to associate the higher strain to the presence of SiO2 precipitates in the top silicon layer, close to the buried oxide. The found lower strain is in agreement with the better quality expected for this material, which is corroborated by the photoluminescence data.

Electrical and optical properties of Zn-In-Sn-O transparent conducting thin films

Indium tin oxide (ITO) is one of the widely used transparent conductive oxides (TCO) for application as transparent electrode in thin film silicon solar cells or thin film transistors owing to its low resistivity and high transparency. Nevertheless, indium is a scarce and expensive element and ITO films require high deposition temperature to achieve good electrical and optical properties. On the other hand, although not competing as ITO, doped Zinc Oxide (ZnO) is a promising and cheaper alternative. Therefore, our strategy has been to deposit ITO and ZnO multicomponent thin films at room temperature by radiofrequency (RF) magnetron co-sputtering in order to achieve TCOs with reduced indium content. Thin films of the quaternary system Zn-In-Sn-O (ZITO) with improved electrical and optical properties have been achieved. The samples were deposited by applying different RF powers to ZnO target while keeping a constant RF power to ITO target. This led to ZITO films with zinc content ratio varying between 0 and 67%. The optical, electrical and morphological properties have been thoroughly studied. The film composition was analysed by X-ray Photoelectron Spectroscopy. The films with 17% zinc content ratio showed the lowest resistivity (6.6 × 10 - 4 Ω cm) and the highest transmittance (above 80% in the visible range). Though X-ray Diffraction studies showed amorphous nature for the films, using High Resolution Transmission Electron Microscopy we found that the microstructure of the films consisted of nanometric crystals embedded in a compact amorphous matrix. The effect of post deposition annealing on the films in both reducing and oxidizing atmospheres were studied. The changes were found to strongly depend on the zinc content ratio in the films.

The co-evolution of social institutions, demography, and large-scale human cooperation.

Human cooperation is typically coordinated by institutions, which determine the outcome structure of the social interactions individuals engage in. Explaining the Neolithic transition from small- to large-scale societies involves understanding how these institutions co-evolve with demography. We study this using a demographically explicit model of institution formation in a patch-structured population. Each patch supports both social and asocial niches. Social individuals create an institution, at a cost to themselves, by negotiating how much of the costly public good provided by cooperators is invested into sanctioning defectors. The remainder of their public good is invested in technology that increases carrying capacity, such as irrigation systems. We show that social individuals can invade a population of asocials, and form institutions that support high levels of cooperation. We then demonstrate conditions where the co-evolution of cooperation, institutions, and demographic carrying capacity creates a transition from small- to large-scale social groups.

Mental Causation : Investigating the mind's powers in a natural world

4.6 Summary and Conclusion In this chapter, we have first tried to make precise the distinctions between the concepts of parthood and coincidence and the concepts of causation and causal influence. These distinc-tions had never been made entirely explicit in the debate on mental causation before, despite the fact that they constantly figure in its background. Section 4.2 then demonstrated that the at-tained definitions are both compatible with all the solutions elaborated in chapters 2 and 3 and that they are even of great help in clarifying both what precisely the mentioned accounts are claiming respectively and what their mutual connections are. In sections 4.3. and 4.4, we have then tried to explore two possible solutions to the problem of mental causation that, at least in these particular versions, have not been explicitly defended in the literature. These solutions we dubbed "overdeteiminationism lite" and "plural determinism". We found the accounts both to bear impressive explanatory capabilities and to be vulnerable to far fewer problems than is commonly supposed. We also found out that they have many corresponding aspects and that their theoretical costs stand in a relation of a relative mutual balance. Our final discussion in section 4.5 revealed, however, that overdetenninationism lite should probably be considered the more successful theory. The fact that it needs to endorse the existence of two kinds of causation, although not unproblematic itself, did not appear as a commitment as strong as that of an ontological hierarchy that extends over all time, which at least the broad version of plural determinism was forced to make.

Water planning law and government.

Water planning efforts typically identify problems and needs. But simply calling attention to issues is usually not enough to spur action; the end result of many well-intentioned planning efforts is a report that ends up gathering dust on a shelf. Vague recommendations like “Water conservation measures should be implemented” usually accomplish little by themselves as they don’t assign responsibility to anyone. Success is more likely when an implementation strategy — who can and should do what — is developed as part of the planning process. The more detailed and specific the implementation strategy, the greater the chance that something will actually be done. The question then becomes who has the legal authority or responsibility to do what? Are new laws and programs needed or can existing ones be used to implement the recommendations? ... This document is divided into four main parts. The first, “Carrots and Sticks” looks at two basic approaches — regulatory and non-regulatory — that can be, and are, used to carry out water policy. Both have advantages and disadvantages that need to be considered. The second, “The powers of federal, state and local governments…,” looks at the constitutional powers the federal government and state and local governments have to carry out water policy. An initial look at the U. S. Constitution might suggest the federal government’s regulatory authority over water is limited but, in fact, its powers are very substantial. States have considerable authority to do a number of things but have to be mindful of any federal efforts that might conflict with those state efforts. And local governments can only do those things the state constitution or state legislature says they can do and must conform to any requirements or limitations on those powers that are contained in the enabling acts. Parts three and four examine in more detail the main programs and agencies at the federal level as well as Iowa’s state and local levels and the roles they play in national and state water policy.

Federal Dynamics in Times of Economic and Financial Crisis

The global economic and financial crisis is a challenge for all governments, but particularly for federal states because divided and/or shared territorial powers make federations susceptible to coordination problems in fiscal policy making. This article explores the effects of the ongoing crisis on federal relations. Three kinds of problems that may become the cause of federal tensions and conflicts are evoked: opportunism of subgovernments, centralisation and erosion of solidarity among members of the federation. Our analysis of fiscal policies and federal conflicts of 11 federations between 2007 and the present reveals three kinds of coordination problems: shirking in the use of federal government grants, rent-seeking in equalisation payments, and over-borrowing and over-spending. Our results show that shirking remained limited to few cases and occurred only in the first part of the crisis. However, rent-seeking and over-borrowing and over-spending led to a reduction of solidarity among subgovernments and to increased regulation of the fiscal discretion of the members of the federation. Subsequently, tensions in federal relations increased - although only in one case did this challenged the federal order.

THE ROLE OF NANOMATERIALS IN COSMETICS: NATIONAL AND INTERNATIONAL LEGISLATIVE ASPECTS

Nanotechnology is currently one of the fastest growing scientific fields. The products of this science have become part of our everyday lives. However, to date, regulatory agencies have not yet established a single definition for nanomaterials and nanotechnology. Therefore, each country has its own definitions and legislation to control products containing nanomaterials. Being relatively new materials, there are no long-term studies showing their impact on human health and the environment. Consequently, countries control the amount of nanomaterials present in cosmetics, allowing the end consumer to choose which cosmetic to use, by choosing products with or without nanomaterials. Therefore, the primary objective of this study was to identify the most used nanomaterials in cosmetics and verify whether these formulations are in accordance with the laws in force in the United States, the European Union and Brazil, thereby determining if the cosmetics on the market are in line with the existing laws in these three economic powers. This study is unique and will contribute to furthering the discussion on existing laws pertinent to the use of nanotechnology in cosmetics.

Intrapartum hypoxia and power spectral analysis of fetal heart rate variability

Reliable detection of intrapartum fetal acidosis is crucial for preventing morbidity. Hypoxia-related changes of fetal heart rate variability (FHRV) are controlled by the autonomic nervous system. Subtle changes in FHRV that cannot be identified by inspection can be detected and quantified by power spectral analysis. Sympathetic activity relates to low-frequency FHRV and parasympathetic activity to both low- and high-frequency FHRV. The aim was to study whether intra partum fetal acidosis can be detected by analyzing spectral powers of FHRV, and whether spectral powers associate with hypoxia-induced changes in the fetal electrocardiogram and with the pH of fetal blood samples taken intrapartum. The FHRV of 817 R-R interval recordings, collected as a part of European multicenter studies, were analyzed. Acidosis was defined as cord pH ≤ 7.05 or scalp pH ≤ 7.20, and metabolic acidosis as cord pH ≤ 7.05 and base deficit ≥ 12 mmol/l. Intrapartum hypoxia increased the spectral powers of FHRV. As fetal acidosis deepened, FHRV decreased: fetuses with significant birth acidosis had, after an initial increase, a drop in spectral powers near delivery, suggesting a breakdown of fetal compensation. Furthermore, a change in excess of 30% of the low-to-high frequency ratio of FHRV was associated with fetal metabolic acidosis. The results suggest that a decrease in the spectral powers of FHRV signals concern for fetal wellbeing. A single measure alone cannot be used to reveal fetal hypoxia since the spectral powers vary widely intra-individually. With technical developments, continuous assessment of intra-individual changes in spectral powers of FHRV might aid in the detection of fetal compromise due to hypoxia.

The Effects of Anesthetic Induced Loss of Consciousness on Quantitative Electroen Cephalogram, and Bispectral and Spectral Entropy Indices. Studies on Healthy Male

Changes in the electroencephalography (EEG) signal have been used to study the effects of anesthetic agents on the brain function. Several commercial EEG based anesthesia depth monitors have been developed to measure the level of the hypnotic component of anesthesia. Specific anesthetic related changes can be seen in the EEG, but still it remains difficult to determine whether the subject is consciousness or not during anesthesia. EEG reactivity to external stimuli may be seen in unconsciousness subjects, in anesthesia or even in coma. Changes in regional cerebral blood flow, which can be measured with positron emission tomography (PET), can be used as a surrogate for changes in neuronal activity. The aim of this study was to investigate the effects of dexmedetomidine, propofol, sevoflurane and xenon on the EEG and the behavior of two commercial anesthesia depth monitors, Bispectral Index (BIS) and Entropy. Slowly escalating drug concentrations were used with dexmedetomidine, propofol and sevoflurane. EEG reactivity at clinically determined similar level of consciousness was studied and the performance of BIS and Entropy in differentiating consciousness form unconsciousness was evaluated. Changes in brain activity during emergence from dexmedetomidine and propofol induced unconsciousness were studied using PET imaging. Additionally, the effects of normobaric hyperoxia, induced during denitrogenation prior to xenon anesthesia induction, on the EEG were studied. Dexmedetomidine and propofol caused increases in the low frequency, high amplitude (delta 0.5-4 Hz and theta 4.1-8 Hz) EEG activity during stepwise increased drug concentrations from the awake state to unconsciousness. With sevoflurane, an increase in delta activity was also seen, and an increase in alpha- slow beta (8.1-15 Hz) band power was seen in both propofol and sevoflurane. EEG reactivity to a verbal command in the unconsciousness state was best retained with propofol, and almost disappeared with sevoflurane. The ability of BIS and Entropy to differentiate consciousness from unconsciousness was poor. At the emergence from dexmedetomidine and propofol induced unconsciousness, activation was detected in deep brain structures, but not within the cortex. In xenon anesthesia, EEG band powers increased in delta, theta and alpha (8-12Hz) frequencies. In steady state xenon anesthesia, BIS and Entropy indices were low and these monitors seemed to work well in xenon anesthesia. Normobaric hyperoxia alone did not cause changes in the EEG. All of these results are based on studies in healthy volunteers and their application to clinical practice should be considered carefully.