A Note on Coercivity of Lower Semicontinuous Functions and Nonsmooth Critical Point Theory

The first motivation for this note is to obtain a general version of the following result: let E be a Banach space and f : E → R be a differentiable function, bounded below and satisfying the Palais-Smale condition; then, f is coercive, i.e., f(x) goes to infinity as ||x|| goes to infinity. In recent years, many variants and extensions of this result appeared, see [3], [5], [6], [9], [14], [18], [19] and the references therein. A general result of this type was given in [3, Theorem 5.1] for a lower semicontinuous function defined on a Banach space, through an approach based on an abstract notion of subdifferential operator, and taking into account the “smoothness” of the Banach space. Here, we give (Theorem 1) an extension in a metric setting, based on the notion of slope from [11] and coercivity is considered in a generalized sense, inspired by [9]; our result allows to recover, for example, the coercivity result of [19], where a weakened version of the Palais-Smale condition is used. Our main tool (Proposition 1) is a consequence of Ekeland’s variational principle extending [12, Corollary 3.4], and deals with a function f which is, in some sense, the “uniform” Γ-limit of a sequence of functions.

Deformation Lemma, Ljusternik-Schnirellmann Theory and Mountain Pass Theorem on C1-Finsler Manifolds

∗Partially supported by Grant MM409/94 Of the Ministy of Science and Education, Bulgaria. ∗∗Partially supported by Grant MM442/94 of the Ministy of Science and Education, Bulgaria.

Making hiring decisions:a grounded theory approach to a practise-based study of filtering in selection

This thesis objective is to discover “How are informal decisions reached by screeners when filtering out undesirable job applications?” Grounded theory techniques were employed in the field to observe and analyse informal decisions at the source by screeners in three distinct empirical studies. Whilst grounded theory provided the method for case and cross-case analysis, literature from academic and non-academic sources was evaluated and integrated to strengthen this research and create a foundation for understanding informal decisions. As informal decisions in early hiring processes have been under researched, this thesis contributes to current knowledge in several ways. First, it locates the Cycle of Employment which enhances Robertson and Smith’s (1993) Selection Paradigm through the integration of stages that individuals occupy whilst seeking employment. Secondly, a general depiction of the Workflow of General Hiring Processes provides a template for practitioners to map and further develop their organisational processes. Finally, it highlights the emergence of the Locality Effect, which is a geographically driven heuristic and bias that can significantly impact recruitment and informal decisions. Although screeners make informal decisions using multiple variables, informal decisions are made in stages as evidence in the Cycle of Employment. Moreover, informal decisions can be erroneous as a result of a majority and minority influence, the weighting of information, the injection of inappropriate information and criteria, and the influence of an assessor. This thesis considers these faults and develops a basic framework of understanding informal decisions to which future research can be launched.

General Aspects of Constructing an Autonomous Adaptive Agent

There are a great deal of approaches in artificial intelligence, some of them also coming from biology and neirophysiology. In this paper we are making a review, discussing many of them, and arranging our discussion around the autonomous agent research. We highlight three aspect in our classification: type of abstraction applied for representing agent knowledge, the implementation of hypothesis processing mechanism, allowed degree of freedom in behaviour and self-organizing. Using this classification many approaches in artificial intelligence are evaluated. Then we summarize all discussed ideas and propose a series of general principles for building an autonomous adaptive agent.

On the theory of autosoliton propagation in optical fibers guided by in-line nonlinear devices

A theoretical model is developed to describe the propagation of ultra-short optical pulses in fiber transmission systems in the quasi-linear regime, with periodically inserted in-line lumped nonlinear optical devices. Stable autosoliton solutions are obtained for a particular application of the general theory.

An Invariant Theory of Surfaces in the Four-Dimensional Euclidean or Minkowski Space

2010 Mathematics Subject Classification: 53A07, 53A35, 53A10.

Global Waves with Non-Positive Energy in General Relativity

2000 Mathematics Subject Classification: 35Lxx, 35Pxx, 81Uxx, 83Cxx.

Representation, control, or reasoning? Distinct functions for theory of mind within the medial prefrontal cortex

The medial pFC (mPFC) is frequently reported to play a central role in Theory of Mind (ToM). However, the contribution of this large cortical region in ToM is not well understood. Combining a novel behavioral task with fMRI, we sought to demonstrate functional divisions between dorsal and rostral mPFC. All conditions of the task required the representation of mental states (beliefs and desires). The level of demands on cognitive control (high vs. low) and the nature of the demands on reasoning (deductive vs. abductive) were varied orthogonally between conditions. Activation in dorsal mPFC was modulated by the need for control, whereas rostral mPFC was modulated by reasoning demands. These findings fit with previously suggested domain-general functions for different parts of mPFC and suggest that these functions are recruited selectively in the service of ToM.

A gazdaságpolitikai döntéshozatal nemzetek fölötti centralizációja és a közösségi gazdaságtan. Az adóverseny elméletének néhány tanulsága (Supranational centralization of economic policy-making and community economics: some lessons from the theory of tax competition)

Mennyiben képes jelenleg a közösségi gazdaságtan az adópolitikák nemzetek fölötti centralizációjára vonatkozó politikai döntések megalapozására? Válaszunk röviden az lesz, hogy a közösségi gazdaságtan főárama - noha számos releváns gazdasági és politikai tényező hatását sikeresen elemzi - jelenleg nem kínál kielégítőnek tekinthető döntési kritériumokat a döntéshozók számára. Ennek oka, hogy központi szerepet játszik benne egy, a modellek szempontjából exogén és a közgazdasági elmélettől idegen tényező: a kormányzatok jóindulatára, pontosabban annak mértékére vonatkozó premissza. Tanulmányunk az adóverseny fiskális föderalista elméletét vizsgálja, és megpróbál általánosabb szinten is a közszektor gazdaságelméletének jelenlegi állapotára, valamint továbbfejlesztésére vonatkozó tanulságokat levonni. A kiutat az elméleti zsákutcából a kormányzati működés és döntéshozatal, valamint a kívánatos gazdaságpolitikai döntések elméletének összekapcsolása jelentheti. Erre megtörténtek az első kísérletek, de a szisztematikus és átfogó elemzés egyelőre várat magára. / === / How far can community economics provide a basis for political decision-making on supranational centralization of taxation policies? The short answer here will be that although the mainstream of community economics succeeds in analysing many relevant economic and political factors, it fails at present to provide satisfactory criteria for decisionmakers. This is because a central role is played in it by a factor exogenous to the models and alien to economic theory: the premise of the measure of goodwill from governments. The study examines the fiscal federalist theory of tax competition. It tries to draw conclusions, on a more general level, about the present state of the economic theory of the public sector and future development of it. The way out of the theoretical blind alley could be to link the theories of government operation and decision-making and of desirable economic-policy decision-making. The first attempts to do so have been made, but a systematic and comprehensive analysis is still awaited.

Hiánygazdaság − többletgazdaság. Tanulmány a piac elméletéről – II. rész = Shortage economy - surplus economy. A study on market theory II

A főáramlat közgazdászai elismerik, hogy a szocialista rendszert a krónikus hiány jellemezte, de úgy vélik, hogy a kapitalista rendszerben - kisebb vagy nagyobb ingadozások közepette - piaci egyensúly uralkodik. Ezzel szemben a tanulmány két piaci állapotot állít egymással szembe. Az egyikben dominálnak a túlkeresleti jelenségek, bár előfordulnak túlkínálati jelenségek is, ezt nevezi a szerző hiánygazdaságnak. A másikban dominálnak a túlkínálati jelenségek, bár előfordulnak túlkeresleti jelenségek is, amit a szerző többletgazdaságnak nevez. A tanulmány II. része összefoglalja a tanulmány fő állításait. Ezek szerint a szocialista rendszer veleszületett immanens tulajdonsága a hiánygazdaság, míg a kapitalista rendszer veleszületett immanens tulajdonsága a többletgazdaság létrehozása és állandó reprodukciója. Állami beavatkozások erősíthetik vagy gyengíthetik ezeket a genetikus tulajdonságokat, de nem szüntethetik meg. A tanulmány áttekinti a többletgazdaság kedvező és kedvezőtlen hatásait. A kedvező hatások között különleges nyomatékkal emeli ki, hogy a többlet (elsősorban többletkapacitások) nélkül nem alakulhat ki a termelők, illetve az eladók rivalizálása, ami az innovációs folyamat legfontosabb hajtóereje. A többletgazdaság általános esetének vizsgálata után különböző speciális esetekkel foglalkozik a tanulmány: a gazdaság konjunkturális hullámzásával, a hadigazdasággal, a modern kapitalizmusban mutatkozó történelmi léptékű változásokkal, valamint a szocialista rendszeren belül megjelent piacorientált reformokkal és a posztszocialista átmenettel. ____ Mainstream economists recognize that the socialist system was marked by chronic shortage, but they consider that the capitalist system exhibits market equilibrium, give or take some greater or lesser fluctuations. This study, however, contrasts two market states. One is dominated by phenomena of excess demand, though instances of excess supply appear as well; this the author calls a shortage economy. The other is dominated by phenomena of excess supply, though instances of excess demand appear as well; this the author terms a surplus economy. Part II of the study starts by summing up its main propositions. Just as the shortage economy is an intrinsic, immanent trait of the socialist system, so the creation and continual reproduction of the surplus economy is an intrinsic, immanent trait of the capitalist system. Such genetic traits may be strengthened or weakened by state intervention, but not eliminated by it. The study reviews the favourable and detrimental effects of the surplus economy. Of the favourable effects, it is emphasized that without surplus there cannot develop among producers or sellers the rivalry that provides the main impetus for the innovation process. Having examined the general case of the surplus economy, the study turns to various special cases: to the trade-cycle fluctuations of the economy, the war economy, the historic changes appearing in modern capitalism, the market-oriented reforms that appear within the socialist system, and the post-socialist transition.

Absolute configuration and biosynthesis of pahayokolide A from Lyngbya sp. Strain 15-2 of the Florida Everglades

Pahayokolides A-D are cytotoxic cyclic polypeptides produced by the freshwater cyanobacterium Lyngbya sp. strain 15-2 that possess an unusual β-amino acid, 3-amino-2,5,7,8-tetrahydroxy-10-methylundecanoic acid (Athmu). The absolute configuration of pahayokolides A-D was determined using advanced Marfey’s method. It was also confirmed that a pendant N-acetyl- N-methyl leucine moiety in pahayokolide A was absent in pahayokolides B and pahayokolides C-D were conformers of pahayokolide A. Feeding experiments indicated that the biosynthesis of the Athmu sidechain arises from leucine or α-ketoisovalerate, however could not be further extended by three rounds of condensation with malonate units. Putative four peptide and one unique polyketide synthetases in Lyngbya sp. strain 15-2 were identified by using a PCR method and degenerate primers derived from conserved core sequences of known NRPSs and PKSs. Identification of one unique KS domain conflicted with the logic rule that the long side chain of Athmu was assembled by three rounds of ketide extensions if PKSs were involved. A gene cluster (pah) encoding a peptide synthetase putatively producing pahayokolide was cloned, partially sequenced and characterized. Seven modules of the non-ribosomal peptide synthetase (NRPS) were identified. Ten additional opening reading frames (ORFs) were found, responsible for peptide resistance, transport and degradation. Although the predicted substrate specificities of NRPS agreed with the structure of pahayokolide A partially, the disagreement could be explained. However, no PKS gene was found in the pah gene cluster.

The effects of American Sign Language on general self-efficacy and anxiety among mothers in a residential rehabilitation facility for drug addiction and substance abuse

Globally, approximately 208 million people aged 15 and older used illicit drugs at least once in the last 12 months; 2 billion consumed alcohol and tobacco consumption affected 25% (World Drug Report, 2008). In the United States, 20.1 million (8.0%) people aged 12 and older were illicit drug users, 129 million (51.6%) abused alcohol and 70.9 million (28.4%) used tobacco (SAMHSA/OAS, 2008).Usually considered a problem specific to men (Lynch, 2002), 5.2% of pregnant women aged 15 to 44 are also illicit drug and substance abusers (SAMHSA/OAS, 2007). During pregnancy, illicit drugs and substance abuse (ID/SA) can significantly affect a woman and her infant contributing to developmental and communication delays for the infant and influencing parenting abilities (Budden, 1996; March of Dimes, 2006b; Rossetti, 2000). Feelings of guilt and shame and stressful experiences influence approaches to parenting (Ashley, Marsden, & Brady, 2003; Brazelton, & Greenspan, 2000; Ehrmin, 2000; Johnson, & Rosen, 1990; Kelley, 1998; Rossetti, 2000; Velez et al., 2004; Zickler, 1999). Parenthood is an expanded role that can be a trying time for those lacking a sense of self-efficacy and creates a high vulnerability to stress (Bandura, 1994). Residential treatment programs for ID/SA mothers and their children provide an excellent opportunity for effective interventions (Finkelstein, 1994; Social Care Institute for Excellence, 2005). This experimental study evaluated whether teaching American Sign Language (ASL) to mothers living with their infants/children at an ID/SA residential treatment program increased the mothers’ self-efficacy and decreased their anxiety. Quantitative data were collected using the General Self-Efficacy Scale and the State-Trait Anxiety Inventory showing there was both a significant increase in self efficacy and decrease in anxiety for the mothers. This research adds to the knowledge base concerning ID/SA mothers’ caring for their infants/children. By providing a simple low cost program, easily incorporated into existing rehabilitation curricula, the study helps educators and healthcare providers better understand the needs of the ID/SA mothers. This study supports Bandura’s theory that parents who are secure in their efficacy can navigate through the various phases of their child’s development and are less vulnerable to stress (Bandura, 1994).

Quantum transition state theory and solving a first order master equation for complex reactions numerically

The field of chemical kinetics is an exciting and active field. The prevailing theories make a number of simplifying assumptions that do not always hold in actual cases. Another current problem concerns a development of efficient numerical algorithms for solving the master equations that arise in the description of complex reactions. The objective of the present work is to furnish a completely general and exact theory of reaction rates, in a form reminiscent of transition state theory, valid for all fluid phases and also to develop a computer program that can solve complex reactions by finding the concentrations of all participating substances as a function of time. To do so, the full quantum scattering theory is used for deriving the exact rate law, and then the resulting cumulative reaction probability is put into several equivalent forms that take into account all relativistic effects if applicable, including one that is strongly reminiscent of transition state theory, but includes corrections from scattering theory. Then two programs, one for solving complex reactions, the other for solving first order linear kinetic master equations to solve them, have been developed and tested for simple applications.

Self-determination theory and student motivation in social studies in an urban Broward County public high school

This study investigated how students perceived their motivation in high school social studies classes in school and to determine if a correlation exists between students’ grade level, race, gender, and their motivation. The sample included 337 high school students in Broward County, Florida. To assess students’ perceptions on their motivation the academic self-regulation questionnaire was utilized. Results indicate that social studies students show high levels of external regulation, with a mean score at 22.31 on a scale of 36 points. The results show a mean score of 24 on a scale of 28 points for identified regulation among social studies students. Findings revealed that student motivation could be gauged. No statistical significance was found between high school students’ grade level, race, gender, and their motivation in social studies classes. The findings of this study have shown that students at Boyd H. Anderson High School want to learn social studies.

A theory of constraints service systems improvement method: Case of the airline turnaround problem

This dissertation develops a process improvement method for service operations based on the Theory of Constraints (TOC), a management philosophy that has been shown to be effective in manufacturing for decreasing WIP and improving throughput. While TOC has enjoyed much attention and success in the manufacturing arena, its application to services in general has been limited. The contribution to industry and knowledge is a method for improving global performance measures based on TOC principles. The method proposed in this dissertation will be tested using discrete event simulation based on the scenario of the service factory of airline turnaround operations. To evaluate the method, a simulation model of aircraft turn operations of a U.S. based carrier was made and validated using actual data from airline operations. The model was then adjusted to reflect an application of the Theory of Constraints for determining how to deploy the scarce resource of ramp workers. The results indicate that, given slight modifications to TOC terminology and the development of a method for constraint identification, the Theory of Constraints can be applied with success to services. Bottlenecks in services must be defined as those processes for which the process rates and amount of work remaining are such that completing the process will not be possible without an increase in the process rate. The bottleneck ratio is used to determine to what degree a process is a constraint. Simulation results also suggest that redefining performance measures to reflect a global business perspective of reducing costs related to specific flights versus the operational local optimum approach of turning all aircraft quickly results in significant savings to the company. Savings to the annual operating costs of the airline were simulated to equal 30% of possible current expenses for misconnecting passengers with a modest increase in utilization of the workers through a more efficient heuristic of deploying them to the highest priority tasks. This dissertation contributes to the literature on service operations by describing a dynamic, adaptive dispatch approach to manage service factory operations similar to airline turnaround operations using the management philosophy of the Theory of Constraints.