An Elastic Theory for Rubber

1942 ◽  
Vol 15 (4) ◽  
pp. 790-797
Author(s):  
Elmer Latshaw

Abstract The elastic properties of vulcanized rubber present a difficult problem to generalize, mainly because of the large number of compounds in common use. There are good reasons for many kinds and grades, and a characteristic common to all is large elastic strain. Even in the best grades of rubber these strains are not perfectly elastic, but this is also true of almost all other materials, including spring steels. An elastic strain theory will be derived for a specific group of rubber compounds, namely, spring stocks. These are dense, strong rubbers, highly elastic within the working stress range, and capable of supporting loads under continuous vibration and shocks. To be of real value, the strain law should closely predict strain for the range of working stress, or more generally for the elastic range, and should indicate the trend at very high stresses where inelasticity becomes more prominent. Figure 1 shows a cylindrical element of rubber having an area A0 and length h when unstressed. If a uniform stress is imposed perpendicular to the end area, the length changes to H and the area to A. These symbols apply whether the stress is tension or compression. The usual definition of strain, i.e., change in length due to stress divided by the unstressed length, is comprehensive and descriptive for the large strains in rubber.

Author(s):  
Anna Mahtani

Abstract The ex ante Pareto principle has an intuitive pull, and it has been a principle of central importance since Harsanyi’s defence of utilitarianism (to be found in e.g. Harsanyi, Rational behaviour and bargaining equilibrium in games and social situations. CUP, Cambridge, 1977). The principle has been used to criticize and refine a range of positions in welfare economics, including egalitarianism and prioritarianism. But this principle faces a serious problem. I have argued elsewhere (Mahtani, J Philos 114(6):303-323 2017) that the concept of ex ante Pareto superiority is not well defined, because its application in a choice situation concerning a fixed population can depend on how the members of that population are designated. I show in this paper that in almost all cases of policy choice, there will be numerous sets of rival designators for the same fixed population. I explore two ways that we might complete the definition of ex ante Pareto superiority. I call these the ‘supervaluationist’ reading and the ‘subvaluationist’ reading. I reject the subvaluationist reading as uncharitable, and argue that the supervaluationist reading is the most promising interpretation of the ex ante Pareto principle. I end by exploring some of the implications of this principle for prioritarianism and egalitarianism.


2021 ◽  
Vol 66 ◽  
pp. 96-102
Author(s):  
V.M. Logoida

The article is devoted to the study of the experience of legal regulation of the legal status of cryptocurrencies and transactions with them in Asian countries (except for the People's Republic of China and Asian countries - members of the Commonwealth of Independent States, as the author examined them in separate publications). In the article the author, based on the study of regulations, administrative and judicial practice of all major countries in this part of the world, emphasizes the divergent trends in cryptocurrency transactions regulation in the region, when some countries move from a liberal approach to the use of cryptocurrencies to their total ban and vice versa. It is noted that almost all countries in the region give a legal assessment of the payment function of cryptocurrencies, using regulatory or prohibitive approaches, depending on the chosen policy, which indirectly confirms their understanding of the legal nature of cryptocurrencies primarily as a means of payment. At the same time, these countries not only categorically distinguish cryptocurrencies from fiat money issued by central banks, but also mostly avoid the official definition of cryptocurrency as private (decentralized) cash, preferring to qualify them as an intangible asset, virtual asset, digital asset, financial value and even a good or service, which is currently a kind of compromise between political expediency and economic realities. The author also notes that the Asian region is characterized by very active attempts to resolve the legal status of cryptocurrencies at the legislative level, and not just administrative or judicial response to the actual legal relationship, although the progress of different countries in this matter is different. As a result, the author concludes that in the Asian countries considered in the article, there is no same view on the legal nature of cryptocurrency, its qualification as an object of civil rights, and ways to regulate transactions with it (libertarian approach, positive-cryptocurrency approach but with detailed government regulation and control or a completely restrictive policy in relation to the cryptocurrency market).


Author(s):  
Deborah Combs ◽  
Brian Nichols

This paper explores how the tax cuts and jobs act of 2017 impacts middle-class taxpayers by calculating the tax liability at different levels of income and deductions in 2017 versus 2018. The results confirm the statements supporting the positive effect of the tax change for the middle class. The tax cut and jobs act eliminates personal exemptions, changes the standard deductions at various incomes and family sizes, and lowers marginal tax rates. After providing details of the act, this research examines the definition of the U.S. middle class by using prior research from the Pew Research Center, the United States Census Bureau, and the federal reserve to determine which income levels are attributable to the middle class. Then the tax liability for these income classes is calculated for single and married filing jointly taxpayers in both 2017 and 2018 to determine if the tax cuts and jobs act reduces the tax liability for the middle class. The results show that in almost all scenarios the tax liability in 2018 will be lower than in 2017, regardless of whether standard or itemized deductions are taken. The marriage penalty is no longer applicable, and the new tax act provides a substantial benefit to large families


1998 ◽  
Vol 25 ◽  
pp. 93-110 ◽  
Author(s):  
Quentin Gausset

Traditional accounts of the nineteenth-century Fulbe conquest in northern Cameroon tell roughly the same story: following the example of Usman Dan Fodio in Nigeria, the Fulbe of Cameroon organized in the beginning of the nineteenth century a “jihad” or a “holy war” against the local pagan populations to convert them to Islam and create an Islamic state. The divisions among the local populations and the military superiority of the Fulbe allowed them to conquer almost all northern Cameroon. They forced those who submitted to give an annual tribute of goods and servants, and they raided the other groups. In these traditional accounts the Fulbe are presented as unchallenged masters, while the local populations are depicted as slaves who were powerless over their fate; their role in the conquest of the region and in the administration of the new political order is supposed to have been insignificant.I will show that, on the contrary, in the area of Banyo the Wawa and Bute played a crucial role in the conquest of the sultanate and in its administration. I will then re-examine the cliche that all members of the local populations were the slaves of the Fulbe by distinguishing the fate of the Wawa and Bute on one side from that of the Kwanja and Mambila on the other, and by showing the importance of the Fulbe's identity in shaping the definition of slavery. Finally I will argue that, if the historical accounts found in the scientific literature invariably insist on Fulbe hegemony and minimize the role played by the local populations, it is because those accounts are often based on Fulbe traditions, and because these traditions are remodeled by the Fulbe in order to correspond to their discourse on identity.


2021 ◽  
pp. 9-13
Author(s):  
I. V. Izhdeneva

The article actualizes the possibilities of mobile learning based on the use of mobile devices and technologies available to almost all students. Various approaches to the definition of the concept of "mobile learning" are analyzed, including techno-centric and information-centric approaches. The concept of mobility as one of the attributes of learning tools is revealed. The importance of mobile learning in the current difficult situation of distance learning during the pandemic is substantiated. The characteristic features of mobile learning are highlighted, affecting its main functions, learning tools and independence from the time and place of learning. Possible directions for the implementation of mobile learning are characterized, from simple transfer of educational content to compliance with basic educational theories. From the point of view of the functioning and directions of development of mobile learning, its basic principles in teaching informatics are formulated. The types of students' activities are briefly characterized; some advantages of mobile learning are highlighted and its features as visualization, interactivity, efficiency of use in teaching children with disabilities are characterized. Some popular educational apps for mobile devices are considered, their characteristics are given, and their educational potential is revealed. Examples of mobile applications are given, the use of which in informatics lessons will help to activate the educational and cognitive activity of students and stimulate them to engage in informatics, coding and robotics.


Author(s):  
Daria Bukreieva ◽  
◽  
Karina Tupitsyna ◽  
Anna Bolsha ◽  
◽  
...  

The article is devoted to the topical issue of the strategic development of the enterprise in the digital economy. The advantages of enterprises that use the results of the digital economy in their activities have been established. The main characteristics of the digital economy are determined, approaches to the definition of terms are investigated. The state of profitability of Ukrainian enterprises by industry is analyzed on the basis of statistical data. Based on the results of the analysis of statistical data, it was determined that in the conditions of the pandemic and quarantine of the last two years, most sectors of the economy suffered losses. Only those industries that were vital and those that use modern information and digital technologies had a positive financial result of their activities. These calculations showed that it is fundamentally important to introduce digital technologies at enterprises in various sectors of the economy. The article lists the main seven stages of introducing digital technologies into the management activities of enterprises. The above stages of introducing digital technologies into the activities of enterprises are used both for general strategic transformations at enterprises, and for individual management functions. It also reflects the main benefits of introducing digital technologies into strategic planning and profit management in enterprises. The main obstacles that may arise during the implementation of digital technologies are highlighted, among which the main one is associated with the human factor. It is also indicated in the article that almost all enterprises in their activities can start with the introduction of technologies for working with big data, which allow to efficiently process large volumes of information, analyze it and make management decisions based on the results. An analysis of modern research in the field of digital technologies implementation showed that digital technologies are necessary not only in the current activities of an enterprise, but also in strategic and management functions, especially in planning and managing the company's profit.


1979 ◽  
Vol 31 (4) ◽  
pp. 786-788 ◽  
Author(s):  
Nghiem Dang-Ngoc

We extend a theorem of L. E. Dubins on “purely finitely additive disintegrations” of measures (cf. [4]) and apply this result to the disintegrations of extremal Gibbs states with respect to the asymptotic algebra enlarging another result of L. E. Dubins on the symmetric coin tossing game.We recall the following definition of L. E. Dubins (cf. [3], [4]): Let (X , , μ) be a measure space, a sub σ-algebra of . A real function σx (A), is called a measurable-disintegration of μ if:(i) ∀x ∊ X , σx(.) is a finitely additive measure .(ii) ∀A ∊ , σ. (A) is constant on each -atom.(iii) For each A ∊ , σ. (A) is measurable with respect to the completion of by μ and (iv)σx(B) = 1 if x ∊ B ∊ .


1969 ◽  
Vol 35 ◽  
pp. 109-132 ◽  
Author(s):  
Takayuki Kawada

1.In the study on Hölder-continuity of Brownian motion, A.N.Kol-mogorov introduced the concept of upper and lower classes and presented a criterion with the integral form to test whether some function belongs to upper or lower class; the so-called Kolmogorov’s test (I.Petrovesky [10]). P.Lévy considered the upper and lower class with regard to the uniform continuity of Brownian motion. We shall recall the definition of the upper and lower classes. We shall call <p(t) a function belonging to the upper class with regard to the uniform continuity of Brownian motion x(t) if there exists a positive number s{w) such that, for almost all w,implies(1.1)


Author(s):  
Paulo Camargo Silva ◽  
Virgílio José Martins Ferreira Filho

In the recent literature of the production history matching the problem of non-uniqueness of reservoir simulation models has been considered a difficult problem. Complex workflows have been proposed to solve the problem. However, the reduction of uncertainty can only be done with the definition of Probability Density Functions that are highly costly. In this article we introduce a methodology to reduce uncertainty in the history matching using techniques of Monte Carlo performed on proxies as Reservoir Simulator. This methodology is able to compare different Probability Density Functions for different reservoir simulation models to define among the models which simulation model can provide more appropriate matching.


1978 ◽  
Vol 1 (16) ◽  
pp. 30 ◽  
Author(s):  
D.H. Peregrine ◽  
I.A. Svendsen

On gently sloping beaches, almost all water waves break. After the initial breaking the water motion usually appears quite chaotic. However, for a moderate time, for example two or three times the descent time of the "plunge" in a plunging breaker, the flow can be relatively well organised despite the superficial view which is largely of spray and bubbles. If waves continue to break the breaking motion, or "white water" soon becomes fully turbulent and the mean motions become quasisteady. A reasonable definition of a quasi-steady wave is one which changes little during the time a water particle takes to pass through it. We exclude water particles which may become trapped in a surface roller and surf along with the wave. At this stage in its development a wave on a beach may be described as a spilling breaker or as a bore. In fact, there is a range of these waves from those with a little white water at the crest to examples where the whole front of the wave is fully turbulent. In investigating the properties of such waves it is desirable to start by looking at the whole range of related motions. The most obvious extension is to the hydraulic jump; since, in the simplest view, it is equivalent to a bore but in a frame of reference moving with the wave. It is also an example where the mean flow is steady rather than quasisteady.


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