113,866 research outputs found

    On a hemi-variational formulation for a 2D elasto-plastic-damage strain gradient solid with granular microstructure†

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    We report a continuum theory for 2D strain gradient materials accounting for a class of dissipation phenomena. The continuum description is constructed by means of a (reversible) placement function and by (irreversible) damage and plastic functions. Besides, expressions of elastic and dissipation energies have been assumed as well as the postulation of a hemi-variational principle. No flow rules have been assumed and plastic deformation is also compatible, that means it can be derived by a placement function. Strain gradient Partial Differential Equations (PDEs), boundary conditions (BCs) and Karush-Kuhn-Tucker (KKT) type conditions are derived by a hemi variational principle. PDEs and BCs govern the evolution of the placement descriptor and KKT conditions that of damage and plastic variables. Numerical experiments for the investigated homogeneous cases do not need the use of Finite Element simulations and have been performed to show the applicability of the model. In particular, the induced anisotropy of the response has been investigated and the coupling between damage and plasticity evolution has been shown

    Solution of a paradox related to the rigid bar pull-out problem in standard elasticity

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    This paper aims at modeling pull-out tests of a reinforcement bar from a concrete matrix. The considered system is an elastic cylinder, within which is embedded a rigid bar placed along the central axis. The pull-out test consists in extracting the bar while fixing the outer lateral boundary of the cylinder. Typically, the concrete matrix would be modeled as a Cauchy continuum (i.e. first gradient elastic continuum), while the slender reinforcement bar would be modeled either as an inner elastic cylinder, or – when its radius tends to zero – as a one-dimensional beam. However, we show that such a model yields a null total deformation energy for the concrete cylinder if the bar is modeled as a beam. This result is physically paradoxical, as the extraction of even the slenderest bar requires an energy input, which is transferred to the concrete matrix as deformation energy. In the present work, this paradox is solved by considering a strain-gradient deformation energy for the concrete matrix. It is shown that such a modeling approach allows deformation to occur even when the radius of the inner bar tends to zero. This result is found to be parametrized by a characteristic length which is physically justified through granular micromechanics. Numerical results are also obtained and hint at a possible way to identify the characteristic length experimentally in future works

    N.V. Timofeev-Resovsky: career of scientist and citizen

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    The article analyzes the creative path and achievements of N. V. Timofeev-Resovsky in difficult historical realities. The heroic feat of the scientist in the difficult historical conditions in which our country and the whole world were in the middle of the XX century is shown.В статье дается анализ творческого пути и достижений Н. В.Тимофеева-Ресовского в непростых исторических реалиях. Показан героический подвиг ученого в непростых исторических условиях, в которых была наша страна и весь мир в середине XX столетия

    « Bez carja zemlja vdova » : Syncrétisme dans le Vremennik d'Ivan Timofeev

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    Tamara Kondratieva et Claudio-Sergio Ingerflom, "Bez Lsaria zemlia vdova". Syncretism in the Vremennik of Ivan Timofeev. The Vremennik of Ivan Timofeev stands out against the sources of the Time of Troubles because of its efforts at conceptualizing. One term occurs throughout the narrative: "the earth". It refers both to Russia and to the other meaning it has in Russian culture : "Mother - damp earth" associated with, indeed identified to, the "native" mother and the Mother of God. The dynastic rupture, the civil war and the foreign intervention that followed have the same cause: before dying the last Riurikovich had not left in the womb of earth the embryo that was entitled to reign. The tsar is therefore the husband and the son of the same wife-mother. The non-fulfilment of the incest appears as a break of the natural order. To stress his idea, Timofeev resorts to a "parable": a rhetorical device destined to express the "truth". With the accession of Mikhail Romanov, accompanied by his mother, the widowhood of the earth is ended. The new tsar is then legitimate. Timofeev's work shows that the dvoeverie - intermingled paganism and Christianity - extended to the society as a whole, cannot be ignored by the historian of Russian politics.Tamara Kondratieva et Claudio-Sergio Ingerflom, « Bez carja zemlja vdova ». Syncrétisme dans le Vremennik d'Ivan Timofeev. Parmi les sources du Temps ties Troubles, le Vremennik d'Ivan Timofeev se distingue par son effort de conceptualisation. Un terme est présent tout au long du récit : la « terre ». Il y renvoie à la fois à la Russie et aux autres signifiés qu'il possède dans la culture russe - la « Mère-terre humide », associée, voire identifiée, à la mère « natale » et à la Mère de Dieu. La rupture dynastique, la guerre civile et l'intervention étrangère qui s'ensuivent ont une même cause : avant de mourir, le dernier Rurikide n'a pas laissé clans le ventre de la terre l'embryon appelé à régner. Le tsar est donc l'époux et le fils de la même femme-mère. Le non-accomplissement de l'inceste apparaît comme la rupture de l'ordre naturel. Pour appuyer son propos, Timofeev s'exprime par « parabole », la figure rhétorique chargée de dire la « vérité ». Avec l'avènement de Michel Romanov accompagné de sa mère, la viduité de la terre prend fin. Le noveau tsar est dès lors légitime. L'œuvre de ce noble de service montre que la dvoeverie - paganisme et christianisme enchevêtrés - propre à l'ensemble de la société, ne peut pas être ignorée par l'historien de la politique russe.Ingerflom Claudio-Sergio, Kondratieva Tamara. « Bez carja zemlja vdova » : Syncrétisme dans le Vremennik d'Ivan Timofeev. In: Cahiers du monde russe et soviétique, vol. 34, n°1-2, Janvier-Juin 1993. Noblesse, État et société en Russie XVIe - début du XIXe siècle. pp. 257-265

    Asymptotic formula for the moments of Bernoulli convolutions

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    Abstract. Asymptotic Formula for the Moments of Bernoulli Convolutions Timofeev E. A. Received February 8, 2016 For each λ, 0 < λ < 1, we define a random variable ∞ Yλ =(1−λ)ξnλn, n=0 where ξn are independent random variables with P{ξn =0}=P{ξn =1}= 1. 2 The distribution of Yλ is called a symmetric Bernoulli convolution. The main result of this paper is Mn =EYλn =nlogλ22logλ(1−λ)+0.5logλ2−0.5eτ(−logλn)1+O(n−0.99), where is a 1-periodic function, 1k2πikx τ(x)= kα −lnλ e k̸=0 1 (1 − λ)2πit(1 − 22πit)π−2πit2−2πitζ(2πit), 2i sh(π2t) α(t) = − and ζ(z) is the Riemann zeta function. The article is published in the author’s wording

    A Multi-Language Comparison of Influences on Author Verification using Character N-Grams

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    We create a new multi-language corpus for author verification based on Wikipedia talkpages, and evaluate the influence that differences in topic and time have on character n-gram author profiles. Topic alignment between two texts is found to increase author verification precision, and an authors writing style is found to change over time, but not more significantly after 3 years than after 1 year.Information ArchitectureWISElectrical Engineering, Mathematics and Computer Scienc

    The vanishing author in computer-generated works: a critical analysis of recent Australian case law

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    Abstract The use of software is ubiquitous in the creation of many copyright works, yet the requirement in copyright law that every work have a human author who engages in independent intellectual effort means that its use may prevent copyright subsistence. Several recent Australian cases have refocused attention on authorship as an essential criterion of copyright subsistence, and these cases suggest that much computer-produced output may be authorless and thus lack copyright protection. This article, the first in a two-part series, analyses how each case deals with the question of authorship of computer-produced works and why the use of software diminishes copyright protection for a significant number of computer-generated works. The article critiques the application of conventional notions of human authorship developed in the pre-computer age to modern productions and suggests alternative approaches to authorship that satisfy both the major objectives of copyright policy and the need to adapt to the computer age. The article argues that, without a broader judicial approach to authorship of computer-generated works, Parliament must remedy the lacuna in protection for these ‘authorless’ works. Possible solutions for reform are suggested. In a forthcoming article, the author comprehensively examines those reform proposals

    Appropriate Similarity Measures for Author Cocitation Analysis

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    We provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis

    Асимптотика моментов симметричной свертки Бернулли

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    Abstract. Asymptotic Formula for the Moments of Bernoulli Convolutions Timofeev E. A. Received February 8, 2016 For each λ, 0 < λ < 1, we define a random variable ∞ Yλ =(1−λ)ξnλn, n=0 where ξn are independent random variables with P{ξn =0}=P{ξn =1}= 1. 2 The distribution of Yλ is called a symmetric Bernoulli convolution. The main result of this paper is Mn =EYλn =nlogλ22logλ(1−λ)+0.5logλ2−0.5eτ(−logλn)1+O(n−0.99), where is a 1-periodic function, 1k2πikx τ(x)= kα −lnλ e k̸=0 1 (1 − λ)2πit(1 − 22πit)π−2πit2−2πitζ(2πit), 2i sh(π2t) α(t) = − and ζ(z) is the Riemann zeta function. The article is published in the author’s wording.Для каждого λ, 0 < λ < 1 определим случайную величину (симметричную свертку Бернулли) где ξn – независимые случайные величины с P{ξn =0}=P{ξn =1}= 1. ∞ Yλ =(1−λ)ξnλn, n=0 2 Mn =EYλn =nlogλ22logλ(1−λ)+0.5logλ2−0.5eτ(−logλn)1+O(n−0.99), 1k2πikx τ(x)= kα −lnλ e Основной результат настоящей работы где функция k̸=0 является периодической с периодом равным 1, α(t) = − 1 (1 − λ)2πit(1 − 22πit)π−2πit2−2πitζ(2πit), 2i sh(π2t) а ζ(z) – дзета-функция Римана

    Существование несмещенной состоятельной оценки энтропии для специальной меры Бернулли

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    Let Ω=AN\Omega = A^N - be a space of right-sided infinite sequences drawn from a finite alphabet A={0,1}A = \{0,1\}, N=1,2,N = {1,2,\dots} , ρ(x,y)=k=1xkyk2k\rho(\boldsymbol{x},\boldsymbol{y}) = \sum_{k=1}^{\infty}|x_{k} - y_{k}|2^{-k} - a metric on Ω\Omega, and μ\mu - a probability measure on Ω\Omega. Let ξ0,ξ1,,ξn\boldsymbol{\xi_0}, \boldsymbol{\xi_1}, \dots, \boldsymbol{\xi_n} - be independent identically distributed points on Ω\Omega. We study the estimator ηn(k)(γ)\eta_n^{(k)}(\gamma) - of the reciprocal of the entropy 1/h1/h, that are defined as. ηn(k)(γ)=k(rn(k)(γ)rn(k+1)(γ)),\eta_n^{(k)}(\gamma) = k \left(r_{n}^{(k)}(\gamma) - r_{n}^{(k+1)}(\gamma)\right), where rn(k)(γ)=1n+1j=0nγ(mini:ij(k)ρ(ξi,ξj)),r_n^{(k)}(\gamma) =\frac{1}{n+1}\sum_{j=0}^{n} \gamma\left(\min_{i:i \neq j} {^{(k)}} \rho(\boldsymbol{\xi_{i}}, \boldsymbol{\xi_{j}})\right), min(k){X1,,XN}=Xk\min ^{(k)}\{X_1,\dots,X_N\}= X_k, если X1X2XNX_1\leq X_2\leq \dots\leq X_N. Number kk and a function γ(t)\gamma(t) - are auxiliary parameters. The main result of this paper isTheorem. Let mm - be the Bernoulli measure with probabilities p_0,p_1>0, p0+p1=1p_0+p_1=1, p0=p12p_0=p_1^2, then \forall eps>0 some continuous function γ(t)\gamma(t) such that \left|E\eta_n^{(k)}(\gamma) - \frac1h\right| <eps,\quad DD\eta_n^{(k)}(\gamma)\to 0,n\to \infty. Пусть Ω=AN\Omega = A^N - пространство правосторонних бесконечных последовательностей символов из алфавита A={0,1}A = \{0,1\}, N=1,2,N = {1,2,\dots} , ρ(x,y)=k=1xkyk2k\rho(\boldsymbol{x},\boldsymbol{y}) = \sum_{k=1}^{\infty}|x_{k} - y_{k}|2^{-k} - метрика на Ω\Omega, и μ\mu - вероятностная мера на Ω\Omega. Пусть ξ0,ξ1,,ξn\boldsymbol{\xi_0}, \boldsymbol{\xi_1}, \dots, \boldsymbol{\xi_n} - независимые случайные точки на Ω\Omega, распределенные по мере μ\mu. Будем изучать оценку ηn(k)(γ)\eta_n^{(k)}(\gamma) - величину обратной к энтропии 1/h1/h, которая определяется следующим образом. ηn(k)(γ)=k(rn(k)(γ)rn(k+1)(γ)),\eta_n^{(k)}(\gamma) = k \left(r_{n}^{(k)}(\gamma) - r_{n}^{(k+1)}(\gamma)\right), где rn(k)(γ)=1n+1j=0nγ(mini:ij(k)ρ(ξi,ξj)),r_n^{(k)}(\gamma) =\frac{1}{n+1}\sum_{j=0}^{n} \gamma\left(\min_{i:i \neq j} {^{(k)}} \rho(\boldsymbol{\xi_{i}}, \boldsymbol{\xi_{j}})\right), min(k){X1,,XN}=Xk\min ^{(k)}\{X_1,\dots,X_N\}= X_k, если X1X2XNX_1\leq X_2\leq \dots\leq X_N. Число kk и функция γ(t)\gamma(t) - вспомогательные параметры. Основной результат работыТеорема. Пусть mm - мера Бернулли с вероятностями p_0,p_1>0, p0+p1=1p_0+p_1=1, p0=p12p_0=p_1^2, тогда \forall eps>0 существует непрерывная функция γ(t)\gamma(t) такая, что  \[\left|E\eta_n^{(k)}(\gamma) -  \frac1h\right| &lt;eps,\quad DD\eta_n^{(k)}(\gamma)\to 0,n\to \infty. \
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