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.

Algorithms for two-dimensional cutting stock and strip packing problems using dynamic programming and column generation

We investigate several two-dimensional guillotine cutting stock problems and their variants in which orthogonal rotations are allowed. We first present two dynamic programming based algorithms for the Rectangular Knapsack (RK) problem and its variants in which the patterns must be staged. The first algorithm solves the recurrence formula proposed by Beasley; the second algorithm - for staged patterns - also uses a recurrence formula. We show that if the items are not so small compared to the dimensions of the bin, then these algorithms require polynomial time. Using these algorithms we solved all instances of the RK problem found at the OR-LIBRARY, including one for which no optimal solution was known. We also consider the Two-dimensional Cutting Stock problem. We present a column generation based algorithm for this problem that uses the first algorithm above mentioned to generate the columns. We propose two strategies to tackle the residual instances. We also investigate a variant of this problem where the bins have different sizes. At last, we study the Two-dimensional Strip Packing problem. We also present a column generation based algorithm for this problem that uses the second algorithm above mentioned where staged patterns are imposed. In this case we solve instances for two-, three- and four-staged patterns. We report on some computational experiments with the various algorithms we propose in this paper. The results indicate that these algorithms seem to be suitable for solving real-world instances. We give a detailed description (a pseudo-code) of all the algorithms presented here, so that the reader may easily implement these algorithms. (c) 2007 Elsevier B.V. All rights reserved.

Density-Profile Processes Describing Biological Signaling Networks: Almost Sure Convergence to Deterministic Trajectories

We introduce jump processes in R(k), called density-profile processes, to model biological signaling networks. Our modeling setup describes the macroscopic evolution of a finite-size spin-flip model with k types of spins with arbitrary number of internal states interacting through a non-reversible stochastic dynamics. We are mostly interested on the multi-dimensional empirical-magnetization vector in the thermodynamic limit, and prove that, within arbitrary finite time-intervals, its path converges almost surely to a deterministic trajectory determined by a first-order (non-linear) differential equation with explicit bounds on the distance between the stochastic and deterministic trajectories. As parameters of the spin-flip dynamics change, the associated dynamical system may go through bifurcations, associated to phase transitions in the statistical mechanical setting. We present a simple example of spin-flip stochastic model, associated to a synthetic biology model known as repressilator, which leads to a dynamical system with Hopf and pitchfork bifurcations. Depending on the parameter values, the magnetization random path can either converge to a unique stable fixed point, converge to one of a pair of stable fixed points, or asymptotically evolve close to a deterministic orbit in Rk. We also discuss a simple signaling pathway related to cancer research, called p53 module.

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.

Industriarvet i skärningspunkten mellan kulturarv och turism

I detta arbete studerar jag vilken bild av det industriella kulturarvet som förmedlas när kulturarv och turism tillsammans skapar kulturarvsturism, i synnerhet vid Världsarvet i Falun. Jag har för att ta reda på detta gjort litteraturstudier, genomfört intervjuer och studerat förmedlandet av världsarvet i text och på plats vid gruvområdet i Falun.Kulturarvsturismen faller mellan å ena sidan kulturmiljövården och å andra sidan turismnäringen och samarbete mellan dessa två sektorer har ofta visat sig vara problematiskt. De olika aktörerna arbetar med olika tidsperspektiv, har olika utbildning och olika uppdrag vilket ofta lett till konflikter. För att tydliggöra denna konflikt talar jag i detta arbete om ett bevarande- och ett turismutvecklingsperspektiv. Vid Världsarvet Falun – industrilandskapet kring Stora Koppargruvan - har man tidigt skapat ett gemensamt världsarvsråd med ett samarbete som uppfattas som positivt av de intervjuade. Huvudmotivet för samarbetet i Falun har varit den gemensamma nämnaren mellan de olika perspektiven: att förmedla kulturarvet till besökare. Detta motiv har gått före turismutvecklingsperspektivets motiv att skapa regional utveckling eller ökade inkomster och bevarandeperspektivets motiv att vårda, förvalta och ge en rättvis bild av historien. Viljan att locka fler besökare har ibland blivit viktigare än att utveckla kulturarvsplatsen i sig och möjligheten att tyst vandra omkring i historien utan en anhopning av bildspel, skyltar, guider och aktiviteter har med denna besöksanpassning delvis försvunnit. Vid Världsarvet Falun presenterar man idag en förenklad bild av sitt industriella arv. Detta gör att man når många som inte skulle kunna ta till sig ett mer komplext och fördjupande material. Samtidigt misslyckas man med att erbjuda den intresserade eller insatta besökaren något att bita i: mer komplicerade och komplexa delar av världsarvet förmedlas inte. Man lyckas inte heller förmedla ett industriellt kulturarv som tillhör vardagen och därmed även ställer nutida frågor på sin spets och som mer än andra kulturarv handlar om makten över historien, samtiden och framtiden. Det gäller att med det goda samarbete man utvecklat i organisationen och med sin medvetenhet om både risker och möjligheter vara varsam när man vidareutvecklar Världsarvet Falun som besöksmål. Med mycket små förändringar kan en industrihistoriskt präglad upplevelse gå upp i rök. Världsarvsrådet måste också som kulturarvsskapande aktörer rikta blicken mot och kritiskt granska den historia som är möjlig att berätta utifrån den egna presentationen.

Björk på åkermark : - beståndsetablering eller betesbeskogning

I ett bestånd med björk, planterad 1990 på nedlagd åkermark i 3x1 m förband har en jämförande studie gjorts. Halva arealen har traditionell skogsproduktion, vilken jämförts med en del med skötsel för kombinerad betesdrift och skogsproduktion. I arbetet redovisas utnyttjad metodik vid anläggning, markbehandling, ogräsbekämpning, stängsling och djurhållning, röjning och gallring, nuvarande och beräknad total produktion, grenrensning samt skador. Tre viktiga regler som har bidragit till den lyckosamma etableringen vid beskogningen av denna betesmark är kontinuerlig ogräsbekämpning, tidig och kraftfull röjning/gallring samt stängsling.In a birch stand established in 1990 on former agricultural land in a 3x1 m spacing a comparative study was made. Half the accerage has ad a traditional silviculture while the other half has been managed aiming at future grace land combined with wood production. In this paper we describe the establishment method used, soil treatment, weed protection, fencing and animal treatment, thinning, productivity and yield, furthermore pruning and occurrence of damages. Three important rules for establishment of silvipastures are continuous weed elimination, early, forceful thinning and good fencing.

Färg och missfärgning hos sågad björk : - Variation samt effekter av avverkningstidpunkt, lagring av timmer och torkning av sågad vara

Variation i björkvirkets färg beror på art, läge i träd, ursprung och lagringstid. Vårtbjörk har en mörkare färg än glasbjörk, men livligare struktur och glans. Timmer hugget under tillväxtsäsongen bör sågas färskt eller lagras högst en månad. Vid brädgårdstorkning är god luftcirkulation och skydd för väta och direkt solljus väsentligt. Strövirkets färskhet är av stor betydelse för att undvika fuktfärgning av virket.Variation in birch colours depend on species, position in tree, origin and the storage period. White birch is darker than hairy birch but with a lively structure and shine. During vegetation period timber storage exceeding one month should be avoided. Air circulation, protection from rain and direct sunlight are essential for yard drying. Freshness of stickers used for stacking is important to avoid water marks on wood surface.

"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.