A mathematical approach to chemical equilibrium theory for gaseous systems—II: extensions and applications

Straightforward mathematical techniques are used innovatively to form a coherent theoretical system to deal with chemical equilibrium problems. For a systematic theory it is necessary to establish a system to connect different concepts. This paper shows the usefulness and consistence of the system by applications of the theorems introduced previously. Some theorems are shown somewhat unexpectedly to be mathematically correlated and relationships are obtained in a coherent manner. It has been shown that theorem 1 plays an important part in interconnecting most of the theorems. The usefulness of theorem 2 is illustrated by proving it to be consistent with theorem 3. A set of uniform mathematical expressions are associated with theorem 3. A variety of mathematical techniques based on theorems 1–3 are shown to establish the direction of equilibrium shift. The equilibrium properties expressed in initial and equilibrium conditions are shown to be connected via theorem 5. Theorem 6 is connected with theorem 4 through the mathematical representation of theorem 1.

A generalized collectively compact operator theory with an application to integral equations on unbounded domains

In this paper a generalization of collectively compact operator theory in Banach spaces is developed. A feature of the new theory is that the operators involved are no longer required to be compact in the norm topology. Instead it is required that the image of a bounded set under the operator family is sequentially compact in a weaker topology. As an application, the theory developed is used to establish solvability results for a class of systems of second kind integral equations on unbounded domains, this class including in particular systems of Wiener-Hopf integral equations with L1 convolutions kernels

Wave-activity conservation laws and stability theorems for semi-geostrophic dynamics: part 1. pseudomomentum-based theory

There exists a well-developed body of theory based on quasi-geostrophic (QG) dynamics that is central to our present understanding of large-scale atmospheric and oceanic dynamics. An important question is the extent to which this body of theory may generalize to more accurate dynamical models. As a first step in this process, we here generalize a set of theoretical results, concerning the evolution of disturbances to prescribed basic states, to semi-geostrophic (SG) dynamics. SG dynamics, like QG dynamics, is a Hamiltonian balanced model whose evolution is described by the material conservation of potential vorticity, together with an invertibility principle relating the potential vorticity to the advecting fields. SG dynamics has features that make it a good prototype for balanced models that are more accurate than QG dynamics. In the first part of this two-part study, we derive a pseudomomentum invariant for the SG equations, and use it to obtain: (i) linear and nonlinear generalized Charney–Stern theorems for disturbances to parallel flows; (ii) a finite-amplitude local conservation law for the invariant, obeying the group-velocity property in the WKB limit; and (iii) a wave-mean-flow interaction theorem consisting of generalized Eliassen–Palm flux diagnostics, an elliptic equation for the stream-function tendency, and a non-acceleration theorem. All these results are analogous to their QG forms. The pseudomomentum invariant – a conserved second-order disturbance quantity that is associated with zonal symmetry – is constructed using a variational principle in a similar manner to the QG calculations. Such an approach is possible when the equations of motion under the geostrophic momentum approximation are transformed to isentropic and geostrophic coordinates, in which the ageostrophic advection terms are no longer explicit. Symmetry-related wave-activity invariants such as the pseudomomentum then arise naturally from the Hamiltonian structure of the SG equations. We avoid use of the so-called ‘massless layer’ approach to the modelling of isentropic gradients at the lower boundary, preferring instead to incorporate explicitly those boundary contributions into the wave-activity and stability results. This makes the analogy with QG dynamics most transparent. This paper treats the f-plane Boussinesq form of SG dynamics, and its recent extension to β-plane, compressible flow by Magnusdottir & Schubert. In the limit of small Rossby number, the results reduce to their respective QG forms. Novel features particular to SG dynamics include apparently unnoticed lateral boundary stability criteria in (i), and the necessity of including additional zonal-mean eddy correlation terms besides the zonal-mean potential vorticity fluxes in the wave-mean-flow balance in (iii). In the companion paper, wave-activity conservation laws and stability theorems based on the SG form of the pseudoenergy are presented.

The atmospheric impact of uncertainties in recent Arctic Sea ice reconstructions

There are significant discrepancies between observational datasets of Arctic sea ice concentrations covering the last three decades, which result in differences of over 20% in Arctic summer sea ice extent/area and 5%–10% in winter. Previous modeling studies have shown that idealized sea ice anomalies have the potential for making a substantial impact on climate. In this paper, this theory is further developed by performing a set of simulations using the third Hadley Centre Coupled Atmospheric Model (HadAM3). The model was driven with monthly climatologies of sea ice fractions derived from three of these records to investigate potential implications of sea ice inaccuracies for climate simulations. The standard sea ice climatology from the Met Office provided a control. This study focuses on the effects of actual inaccuracies of concentration retrievals, which vary spatially and are larger in summer than winter. The smaller sea ice discrepancies in winter have a much larger influence on climate than the much greater summer sea ice differences. High sensitivity to sea ice prescription was observed, even though no SST feedbacks were included. Significant effects on surface fields were observed in the Arctic, North Atlantic, and North Pacific. Arctic average surface air temperature anomalies in winter vary by 2.5°C, and locally exceed 12°C. Arctic mean sea level pressure varies by up to 5 mb locally. Anomalies extend to 45°N over North America and Eurasia but not to lower latitudes, and with limited changes in circulation above the boundary layer. No statistically significant impact on climate variability was simulated, in terms of the North Atlantic Oscillation. Results suggest that the uncertainty in summer sea ice prescription is not critical but that winter values require greater accuracy, with the caveats that the influences of ocean–sea ice feedbacks were not included in this study.

The WFDEI meteorological forcing data set: WATCH Forcing Data methodology applied to ERA-Interim reanalysis data

The WFDEI meteorological forcing data set has been generated using the same methodology as the widely used WATCH Forcing Data (WFD) by making use of the ERA-Interim reanalysis data. We discuss the specifics of how changes in the reanalysis and processing have led to improvement over the WFD. We attribute improvements in precipitation and wind speed to the latest reanalysis basis data and improved downward shortwave fluxes to the changes in the aerosol corrections. Covering 1979–2012, the WFDEI will allow more thorough comparisons of hydrological and Earth System model outputs with hydrologically and phenologically relevant satellite products than using the WFD.

Corporate strategic responses to foreign entry: insights from prospect theory

Purpose – The purpose of this paper is to address how firms adapt their product and geographic diversification as a response to foreign rivals penetrating their domestic market by adopting a behavioral perspective to understand firm-level strategic responses to foreign entry. Design/methodology/approach – The study proposes that strategic responses to foreign entry selected by domestic incumbents have both a framing component and a related, strategic choice component, with the latter including changes in product and geographic market diversification (though other more business strategy-related responses are also possible, e.g. in product pricing and marketing). This study tests a set of hypotheses building on panel data of large US firms. Findings – The study finds, in accordance with our predictions, that domestic incumbents reduce their product and geographic diversification when facing an increase in import penetration. However, when increased market penetration by foreign firms takes the form of FDI rather than imports, the corporate response appears to be an increase in product and geographic diversification, again in line with our predictions. Originality/value – The study develops a new conceptual framework that is grounded in prospect theory, but builds on recent insights from mainstream international strategic management studies (Bowen and Wiersema, 2005; Wiersema and Bowen, 2008).

The growth rate and dimension theory of beta-expansions

In a recent paper of Feng and Sidorov they show that for β∈(1,(1+5√)/2) the set of β-expansions grows exponentially for every x∈(0,1/(β−1)). In this paper we study this growth rate further. We also consider the set of β-expansions from a dimension theory perspective.

Orbital-polarization terms: From a phenomenological to a first-principles description of orbital magnetism in density-functional theory

Phenomenological orbital-polarizition (OP) terms have been repeatedly introduced in the single-particle equations of spin-density-functional theory, in order to improve the description of orbital magnetic moments in systems containing transition metal ions. Here we show that these ad hoc corrections can be interpreted as approximations to the exchange-correlation vector potential A(xc) of current-density functional theory (CDFT). This connection provides additional information on both approaches: phenomenological OP terms are connected to first-principles theory, leading to a rationale for their empirical success and a reassessment of their limitations and the approximations made in their derivation. Conversely, the connection of OP terms with CDFT leads to a set of simple approximations to the CDFT potential A(xc), with a number of desirable features that are absent from electron-gas-based functionals. (C) 2008 Wiley Periodicals, Inc.

An Information Theory framework for two-stage binary image operator design

The design of translation invariant and locally defined binary image operators over large windows is made difficult by decreased statistical precision and increased training time. We present a complete framework for the application of stacked design, a recently proposed technique to create two-stage operators that circumvents that difficulty. We propose a novel algorithm, based on Information Theory, to find groups of pixels that should be used together to predict the Output Value. We employ this algorithm to automate the process of creating a set of first-level operators that are later combined in a global operator. We also propose a principled way to guide this combination, by using feature selection and model comparison. Experimental results Show that the proposed framework leads to better results than single stage design. (C) 2009 Elsevier B.V. All rights reserved.

Equivariant Nielsen root theory for G-maps

Let X be a compact Hausdorff space, Y be a connected topological manifold, f : X -> Y be a map between closed manifolds and a is an element of Y. The vanishing of the Nielsen root number N(f; a) implies that f is homotopic to a root free map h, i.e., h similar to f and h(-1) (a) = empty set. In this paper, we prove an equivariant analog of this result for G-maps between G-spaces where G is a finite group. (C) 2010 Elsevier B.V. All rights reserved.

Terror Management Theory and Belief in an Afterlife

Research has shown that belief in an afterlife, a form of symbolic immortality, can alleviate the negative emotions associated with one’s mortality (Deschesne et. al, 2003). We found this aspect of TMT particularly interesting, but lacking any substantial research. Therefore, we set out to determine if belief in an afterlife could diminish the effects of mortality salience. As far as we know, our study is the first to use a pre-screening process to determine participants’ prior beliefs. One prediction might be that those who believe in an afterlife will be less affected by the effects of mortality salience.

Overdetermination in a marxian theory of money

O presente artigo focaliza a genérica e abstrata análise monetária desenvolvida por Marx no inicio do Capital. Mais precisamente, pretende-se avaliar em que medida, se alguma, alguns aspectos da análise de Marx sobre o papel bastante contraditório desempenhado pela moeda no processo de circulação simples de mercadorias suportam uma interpretação sobre-determinista do método dialético por ele empregado. Baseando-se no conceito de sobre-determinação introduzido na literature Marxiana principalmente por Louis Althusser, o artigo conclui que o nexo real-monetário prevalecente na circulação simples de mercadorias pode ser concebida como um nexo sobre-determinado, ou seja, um nexo caracterizado por incorporar um regime de constitutividade.

Sistemas de controle de vendas no setor têxtil: um estudo exploratório

Esta dissertação estuda os sistemas de controle de vendas praticados pela indústria têxtil brasileira diante das mudanças ambientais ocorridas nas últimas duas décadas. O pressuposto básico para a utilização de sistemas de controle para a equipe de vendas é que através deles é possível dirigir e influenciar as atitudes e os comportamentos dos empregados para conseguir atingir seus objetivos, havendo uma estreita relação entre a forma como a gerência comercial monitora, dirige, avalia e recompensa as atividades dos seus vendedores e a efetividade da área comercial, sendo diferenciais decisivos para atender a pressão por competitividade e as exigências do mercado quanto ao posicionamento da equipe comercial frente ao novo cenário de negócios. Da revisão teórica foram levantados os oito principais modelos de sistemas de controle e aspectos importantes que devem ser considerados para a composição do sistema de cada empresa. A pesquisa foi conduzida entre os responsáveis por equipes de vendas no segmento têxtil nos elos onde vendas industriais são realizadas. Empregaram-se técnicas empíricas para o levantamento das freqüências de incidência dos aspectos estudados e foi possível constatar que os elos de fibras e filamentos, fiação, tecelagem, malharia e beneficiamento do segmento têxtil possuem sistemas de controle pertinentes com as características de venda industrial. Os controles formais estão ligados a resultados e os controles informais estão relacionados com o acompanhamento das atividades e capacidades do vendedor. Adicionalmente buscou-se captar a percepção dos responsáveis por equipes comerciais sobre sua efetividade nos aspectos de volume de vendas, lucratividade, participação de mercado e também satisfação do cliente.

A CAPM with higher moments: theory and econometrics

We develop portfolio choice theory taking into consideration the first p~ moments of the underIying assets distribution. A rigorous characterization of the opportunity set and of the efficient portfolios frontier is given, as well as of the solutions to the problem with a general utility function and short sales allowed. The extension of c1assical meanvariance properties, like two-fund separation, is also investigated. A general CAPM is derived, based on the theoretical foundations built, and its empirical consequences and testing are discussed