Invariants of binary differential equations

In this paper, we study binary differential equations a(x, y)dy (2) + 2b(x, y) dx dy + c(x, y)dx (2) = 0, where a, b, and c are real analytic functions. Following the geometric approach of Bruce and Tari in their work on multiplicity of implicit differential equations, we introduce a definition of the index for this class of equations that coincides with the classical Hopf`s definition for positive binary differential equations. Our results also apply to implicit differential equations F(x, y, p) = 0, where F is an analytic function, p = dy/dx, F (p) = 0, and F (pp) not equal aEuro parts per thousand 0 at the singular point. For these equations, we relate the index of the equation at the singular point with the index of the gradient of F and index of the 1-form omega = dy -aEuro parts per thousand pdx defined on the singular surface F = 0.

Numerical Solution of the Upper-Convected Maxwell Model for Three-Dimensional Free Surface Flows

This work presents a finite difference technique for simulating three-dimensional free surface flows governed by the Upper-Convected Maxwell (UCM) constitutive equation. A Marker-and-Cell approach is employed to represent the fluid free surface and formulations for calculating the non-Newtonian stress tensor on solid boundaries are developed. The complete free surface stress conditions are employed. The momentum equation is solved by an implicit technique while the UCM constitutive equation is integrated by the explicit Euler method. The resulting equations are solved by the finite difference method on a 3D-staggered grid. By using an exact solution for fully developed flow inside a pipe, validation and convergence results are provided. Numerical results include the simulation of the transient extrudate swell and the comparison between jet buckling of UCM and Newtonian fluids.

Thermodynamic Stabillity of Hydrogen-Bonded Systems in Polar and Nonpolar Environments

The thermodynamic properties of a selected set of benchmark hydrogen-bonded systems (acetic acid dimer and the complexes of acetic acid with acetamide and methanol) was studied with the goal of obtaining detailed information on solvent effects on the hydrogen-bonded interactions using water, chloroform, and n-heptane as representatives for a wide range in the dielectric constant. Solvent effects were investigated using both explicit and implicit solvation models. For the explicit description of the solvent, molecular dynamics and Monte Carlo simulations in the isothermal isobaric (NpT) ensemble combined with the free energy perturbation technique were performed to determine solvation free energies. Within the implicit solvation approach, the polarizable continuum model and the conductor-like screening model were applied. Combination of gas phase results with the results obtained from the different solvation models through an appropriate thermodynamic cycle allows estimation of complexation free energies, enthalpies, and the respective entropic contributions in solution. Owing to the strong solvation effects of water the cyclic acetic acid dimer is not stable in aqueous solution. In less polar solvents the double hydrogen bond structure of the acetic acid dimer remains stable. This finding is in agreement with previous theoretical and experimental results. A similar trend as for the acetic acid dimer is also observed for the acetamide complex. The methanol complex was found to be thermodynamically unstable in gas phase as well as in any of the three solvents. (C) 2010 Wiley Periodicals, Inc. J Comput Chem 31: 2046-2055, 2010

Solvent effects on the electronic absorption spectrum of camphor using continuum, discrete or explicit approaches

We address the effect of solvation on the lowest electronic excitation energy of camphor. The solvents considered represent a large variation in-solvent polarity. We consider three conceptually different ways of accounting for the solvent using either an implicit, a discrete or an explicit solvation model. The solvatochromic shifts in polar solvents are found to be in good agreement with the experimental data for all three solvent models. However, both the implicit and discrete solvation models are less successful in predicting solvatochromic shifts for solvents of low polarity. The results presented suggest the importance of using explicit solvent molecules in the case of nonpolar solvents. (C) 2009 Elsevier B.V. All rights reserved.

An extinction-survival-type phase transition in the probabilistic cellular automaton p182-q200

We investigate the critical behaviour of a probabilistic mixture of cellular automata (CA) rules 182 and 200 (in Wolfram`s enumeration scheme) by mean-field analysis and Monte Carlo simulations. We found that as we switch off one CA and switch on the other by the variation of the single parameter of the model, the probabilistic CA (PCA) goes through an extinction-survival-type phase transition, and the numerical data indicate that it belongs to the directed percolation universality class of critical behaviour. The PCA displays a characteristic stationary density profile and a slow, diffusive dynamics close to the pure CA 200 point that we discuss briefly. Remarks on an interesting related stochastic lattice gas are addressed in the conclusions.

Three-dimensional, fully adaptive simulations of phase-field fluid models

We present an efficient numerical methodology for the 31) computation of incompressible multi-phase flows described by conservative phase-field models We focus here on the case of density matched fluids with different viscosity (Model H) The numerical method employs adaptive mesh refinements (AMR) in concert with an efficient semi-implicit time discretization strategy and a linear, multi-level multigrid to relax high order stability constraints and to capture the flow`s disparate scales at optimal cost. Only five linear solvers are needed per time-step. Moreover, all the adaptive methodology is constructed from scratch to allow a systematic investigation of the key aspects of AMR in a conservative, phase-field setting. We validate the method and demonstrate its capabilities and efficacy with important examples of drop deformation, Kelvin-Helmholtz instability, and flow-induced drop coalescence (C) 2010 Elsevier Inc. All rights reserved

A Robust, Fully Adaptive Hybrid Level-Set/Front-Tracking Method for Two-Phase Flows with an Accurate Surface Tension Computation

We present a variable time step, fully adaptive in space, hybrid method for the accurate simulation of incompressible two-phase flows in the presence of surface tension in two dimensions. The method is based on the hybrid level set/front-tracking approach proposed in [H. D. Ceniceros and A. M. Roma, J. Comput. Phys., 205, 391400, 2005]. Geometric, interfacial quantities are computed from front-tracking via the immersed-boundary setting while the signed distance (level set) function, which is evaluated fast and to machine precision, is used as a fluid indicator. The surface tension force is obtained by employing the mixed Eulerian/Lagrangian representation introduced in [S. Shin, S. I. Abdel-Khalik, V. Daru and D. Juric, J. Comput. Phys., 203, 493-516, 2005] whose success for greatly reducing parasitic currents has been demonstrated. The use of our accurate fluid indicator together with effective Lagrangian marker control enhance this parasitic current reduction by several orders of magnitude. To resolve accurately and efficiently sharp gradients and salient flow features we employ dynamic, adaptive mesh refinements. This spatial adaption is used in concert with a dynamic control of the distribution of the Lagrangian nodes along the fluid interface and a variable time step, linearly implicit time integration scheme. We present numerical examples designed to test the capabilities and performance of the proposed approach as well as three applications: the long-time evolution of a fluid interface undergoing Rayleigh-Taylor instability, an example of bubble ascending dynamics, and a drop impacting on a free interface whose dynamics we compare with both existing numerical and experimental data.

Optimization of the rheological properties of probiotic yoghurts supplemented with milk proteins

This study aimed to optimize the rheological properties of probiotic yoghurts supplemented with skimmed milk powder (SMP) whey protein concentrate (WPC) and sodium caseinate (Na-Cn) by using an experimental design type simplex-centroid for mixture modeling It Included seven batches/trials three were supplemented with each type of the dairy protein used three corresponding to the binary mixtures and one to the ternary one in order to increase protein concentration in 1 g 100 g(-1) of final product A control experiment was prepared without supplementing the milk base Processed milk bases were fermented at 42 C until pH 4 5 by using a starter culture blend that consisted of Streptococcus thermophilus Lactobacillus delbrueckii subsp bulgaricus and Bifidobacterium (Humans subsp lactis The kinetics of acidification was followed during the fermentation period as well the physico-chemical analyses enumeration of viable bacteria and theological characteristics of the yoghurts Models were adjusted to the results (kinetic responses counts of viable bacteria and theological parameters) through three regression models (linear quadratic and cubic special) applied to mixtures The results showed that the addition of milk proteins affected slightly acidification profile and counts of S thermophilus and B animal`s subsp lactis but it was significant for L delbrueckii subsp bulgaricus Partially-replacing SMP (45 g/100 g) with WPC or Na-Cn simultaneously enhanced the theological properties of probiotic yoghurts taking into account the kinetics of acidification and enumeration of viable bacteria (C) 2010 Elsevier Ltd All rights reserved

"La leyenda tiene una base real" : Análisis crítico del discurso de un artículo de El País

This paper carries out a critical discourse analysis (CDA) of the article "¿Chinofobia?” published by the Spanish newspaper El País. It applies the theory of racist discourse in the media as formulated by Teun A. van Dijk. Its hypothesis is that the article, which supposedly analyses discrimination against the Chinese minority in Spain, covertly blames the Chinese minority itself for the discrimination. Applying CDA methodology as exemplified in previous studies by van Dijk, the paper analyses the article on global and local levels, and delineates its mental model. The global level analysis describes the article in terms of macropropositions and proposes a macrostructure: the self-alienation of the Chinese minority. The paper then analyses how the macrostructure is reinforced on the local level through micropropositions by examining 1) how vocabulary serves the negative presentation and othering of the Chinese minority, 2) how strategies of mitigation minimise discrimination by employing imprecise and vague language, 3) how quotes are used to give coherence and force to the macrostructure, 4) how implications associate the Chinese minority with criminality, and 5) how stereotyped beliefs about the Chinese minority are presented as common sense (presuppositions) and fallaciously argued. Finally, the paper delineates the mental model: the presuppositions about integration, and the implicit warning that minorities should integrate or they will be discriminated against.

Förklaringar till Förintelsen? : En historiedidaktisk studie som undersöker de olika förklaringar till Förintelsen som man kan eventuellt kan finna i ...om detta må ni berätta...

Studien behandlar, den av myndigheten Forum för levande historia utgivna boken …om detta må ni berätta…, av Stéphane Bruchfeld och Paul A. Levine. I studien analyseras olika förklaringar till Förintelsen, som mer explicit eller implicit kan skönjas i texten. Det hela relateras till vad några andra författare och förintelseforskare, beskriver, och kommit till för slutsatser angående de olika förklaringarna dessa representerar, i den av mig utvalda litteraturen. Dessa författare är Zygmunt Bauman och hans bok Auschwitz och det moderna samhället (1989). Yehuda Bauer i boken rethinking the holocaust (2001), Harald Welzer, och hans bok Gärningsmän (2007), slutligen Saul Friedländer och hans bokverk, Förföljelsens år 1933-1939, Utrotningens år 1939-1945. Analysens verktyg består av en indelning i sju, olika förklaringsmodeller, som förekommer och som dessa författare också, representerar eller lyfter fram. Resultatet är slutligen att jag fann den ideologiska förklaringsmodellen framträdande i boken …om detta må ni berätta…, men också beskrivningen av en antisemitism, med rötter långt bak i tiden, är framträdande i denna text. Studien utvisar också att det finns inslag även från andra förklaringsmodeller.

Ways of knowing in ways of moving : A study of the meaning of capability to move

The overall aim of this thesis has been to investigate the meaning of the capability to move in order to identify and describe this capability from the perspective of the one who moves in relation to specific movements. It has been my ambition to develop ways to explicate, and thereby open up for discussion, what might form an educational goal in the context of movements and movement activities in the school subject of physical education and health (PEH). In this study I have used a practical epistemological perspective on capability to move, a perspective that challenges the traditional distinction between mental and physical skills as well as between theoretical and practical knowledge. Movement actions, or ways of moving, are seen as expressions of knowing. In order to explore an understanding of the knowing involved in specific ways of moving, observations of  actors’ ways of moving and their own experiences of moving were brought together. Informants from three different arenas took part: from PEH in upper secondary school, from athletics and from free-skiing. The results of the analyses suggest it is possible to describe practitioners’ developed knowing as a number of specific ways of knowing that are in turn related to specific ways of moving. Examples of such specific ways of moving may be discerning and modifying one’s own rotational velocity and navigating one’s (bodily) awareness. Additionally, exploring learners’ pre-knowing of a movement ‘as something’ may be fruitful when planning the teaching and learning of capability to move. I have suggested that these specific ways of knowing might be regarded as educational goals in PEH. In conducting this study, I have also had the ambition to contribute to the ongoing discussion of what ‘ability’ in the PEH context might mean. In considering specific ways of knowing in moving, the implicit and taken-for-granted meaning of ‘standards of excellence’ and ‘sports ability’can be discussed, and challenged.

Literacy Practices in and out of School in Karagwe : The case of primary school literacy education in rural Tanzania

This study has investigated the question of relation between literacy practices in and out of school in rural Tanzania. By using the perspective of linguistic anthropology, literacy practices in five villages in Karagwe district in the northwest of Tanzania have been analysed. The outcome may be used as a basis for educational planning and literacy programs. The analysis has revealed an intimate relation between language, literacy and power. In Karagwe, traditional élites have drawn on literacy to construct and reconstruct their authority, while new élites, such as individual women and some young people have been able to use literacy as one tool to get access to power. The study has also revealed a high level of bilingualism and a high emphasis on education in the area, which prove a potential for future education in the area. At the same time discontinuity in language use, mainly caused by stigmatisation of what is perceived as local and traditional, such as the mother-tongue of the majority of the children, and the high status accrued to all that is perceived as Western, has turned out to constitute a great obstacle for pupils’ learning. The use of ethnographic perspectives has enabled comparisons between interactional patterns in schools and outside school. This has revealed communicative patterns in school that hinder pupils’ learning, while the same patterns in other discourses reinforce learning. By using ethnography, relations between explicit and implicit language ideologies and their impact in educational contexts may be revealed. This knowledge may then be used to make educational plans and literacy programmes more relevant and efficient, not only in poor post-colonial settings such as Tanzania, but also elsewhere, such as in Western settings.

Kunskapsöverföring- att leda rätt : Ledarens roll vid kunskapsöverföring i en organisation

I en rapport som Svensk Näringsliv (2010) har utfört beskriver de att företag redan idag och inom en snar framtid står inför den största pensionsavgången någonsin i Svensk historia. 40- talisternas avgång ställer företag inför stora utmaningarna, framförallt att lyckas genomföra en lyckad generationsväxling. De personer som går i pension har under sitt yrkesverksamma liv utvecklat en kunskap som många organisationer vilar på. En stor del av denna kunskap måste överföras för att organisationerna ska kunna fortsätta att vara effektiva på marknaden. Syftet med denna studie var att få en djupare förståelse för ledarskapets betydelse gällande kunskapsöverföring i en organisation, samt bidra med praktiska verktyg till chefer och medarbetare för att undvika att förlora värdefull kunskap vid en generationsväxling. Industriföretaget LEAX har själva identifierat ett problem i att överföra viktig kunskap i och med kommande generationsväxling. Deras önskan var att få hjälp med praktiska verktyg för hur de ska tänka och verka för att mildra kunskapsglappet som kan uppstå. För att undersöka detta och därmed uppfylla denna studies syfte har intervjuer genomförts med fyra produktionsledare, fyra medarbetare som förväntas dela kunskap och tre medarbetare som förväntas ta till sig kunskap. Innan intervjuerna genomfördes läste vi in oss på teori om kunskap, kunskapsöverföring och ledarskap. Eftersom begreppet kunskap har en bred betydelse och kan definieras olika beroende om den är individuell eller organisatorisk, började vi i vårt teoriavsnitt att bena ut detta begrepp. Nonaka och Takeuchi (1995) gör en förenklad bild av kunskap som ett isberg, där den explicita kunskapen benämns som toppen. Väl synlig över ytan på vattnet är den enkel att upptäcka och ta till sig. Under vattnet döljer sig en osynlig kunskap som är svår att upptäcka, så kallas implicit eller tyst kunskap. Denna kunskap utgör en enorm del av isberget och blir därmed viktig att bevara. Dock är denna kunskap svår att överföra då den är osynlig och svår att ta på. För att förstå vad kunskapsöverföring innebär, behöver organisationer identifiera vilken sorts kunskap som behöver överföras för att kunskapsöverföringen ska bli lyckad (Jonsson, 2012). Men även fast organisationer gör detta måste även ledningen förstå att kunskapsöverföring är en strategisk angelägenhet som kan ses som en process som involverar medarbetare. I denna studie har vi undersökt hur ledare kan skapa motivation, engagemang och resurser för medarbetare att vilja medverka och bidra till kunskapsöverföring. För att försöka förstå hur kunskap överförs i en organisation har vi använt oss av Nonaka och Takeuchi, (1995) SECI-modell. Modellen bygger på samspelet mellan den tysta och explicita kunskapen, vilket sker i fyra processer. Dessa processer har vi sedan utvecklat till en egen modell som inkluderar institutionella, organisatoriska och kognitiva faktorer. Utifrån dessa faktorer har vi skapat praktiska förslag på hur ledare tillsammans med medarbetarna kan planera kunskapsöverföring. Dessa praktiska förslag gynnar både individuell- och organisatorisk utveckling, samt bidrar till att mildra kunskapsförlust vid generationsväxlingen. Ett av de praktiska exempel vi utformat är en kompetensprofil, som är ett hjälpmedel för organisationer att identifiera vilken kunskap som medarbetarna besitter, vilket synliggör vilken kunskap det är som kan gå förlorad. Kompetensprofilen tillsammans med vår modell kan appliceras på liknande företag, men även på organisationer som verkar inom andra branscher. Eftersom denna kompetensprofil är utvecklad efter de krav som finns inom aktuell verksamhet, finns det möjlighet att anpassa efter andra verksamheter.

Teaching grammar: A study of the common English grammar errors and grammar teaching methods that can be relevant for Swedish upper secondary schools

Grammar has always been an important part of language learning. Based on various theories, such as the universal grammar theory (Chomsky, 1959) and, the input theory (Krashen, 1970), the explicit and implicit teaching methods have been developed. Research shows that both methods may have some benefits and disadvantages. The attitude towards English grammar teaching methods in schools has also changed and nowadays grammar teaching methods and learning strategies, as a part of language mastery, are one of the discussion topics among linguists. This study focuses on teacher and learner experiences and beliefs about teaching English grammar and difficulties learners may face. The aim of the study is to conduct a literature review and to find out what scientific knowledge exists concerning the previously named topics. Along with this, the relevant steering documents are investigated focusing on grammar teaching at Swedish upper secondary schools. The universal grammar theory of Chomsky as well as Krashen’s input hypotheses provide the theoretical background for the current study. The study has been conducted applying qualitative and quantitative methods. The systematic search in four databases LIBRIS, ERIK, LLBA and Google Scholar were used for collecting relevant publications. The result shows that scientists’ publications name different grammar areas that are perceived as problematic for learners all over the world. The most common explanation of these difficulties is the influence of learner L1. Research presents teachers’ and learners’ beliefs to the benefits of grammar teaching methods. An effective combination of teaching methods needs to be done to fit learners’ expectations and individual needs. Together, they will contribute to the achieving of higher language proficiency levels and, therefore, they can be successfully applied at Swedish upper secondary schools.

Critical anthropomorphism and animal ethics

Anthropomorphism has long been considered a cardinal error when describing animals. Ethicists have feared the consequences of misrepresenting animals in their reasoning. Recent research within human-animal studies, however, has sophisticated the notion of anthropomorphism. It is suggested that avoiding anthropomorphism merely creates other morphisms, such as mechanomorphism. Instead of avoiding anthropomorphism, it is argued that it is a communicative strategy that should be used critically. Instances of anthropomorphism in animal ethics are analyzed in this paper. Some analogies made between people and non-human animals in present theories of animal ethics are clear instances of psychological anthropomorphism. Other analogies are implicit cases of cultural anthropomorphism. It is argued that animal ethics needs to take the wider discourse of critical anthropomorphism into account in order to sophisticate the understanding and use of anthropomorphic projections. Anthropomorphism is an efficient tool of communication, and it may be made an adequate one as well.