hp-dGFEM for Second-Order Elliptic Problems in Plyhedra I: Stability and Quasioptimality on Geometric Meshes

We introduce and analyze hp-version discontinuous Galerkin (dG) finite element methods for the numerical approximation of linear second-order elliptic boundary-value problems in three-dimensional polyhedral domains. To resolve possible corner-, edge- and corner-edge singularities, we consider hexahedral meshes that are geometrically and anisotropically refined toward the corresponding neighborhoods. Similarly, the local polynomial degrees are increased linearly and possibly anisotropically away from singularities. We design interior penalty hp-dG methods and prove that they are well-defined for problems with singular solutions and stable under the proposed hp-refinements. We establish (abstract) error bounds that will allow us to prove exponential rates of convergence in the second part of this work.

hp-dGFEM for Second-Order Elliptic Problems in Plyhedra II: Exponential Convergence

The goal of this paper is to establish exponential convergence of $hp$-version interior penalty (IP) discontinuous Galerkin (dG) finite element methods for the numerical approximation of linear second-order elliptic boundary-value problems with homogeneous Dirichlet boundary conditions and piecewise analytic data in three-dimensional polyhedral domains. More precisely, we shall analyze the convergence of the $hp$-IP dG methods considered in [D. Schötzau, C. Schwab, T. P. Wihler, SIAM J. Numer. Anal., 51 (2013), pp. 1610--1633] based on axiparallel $\sigma$-geometric anisotropic meshes and $\bm{s}$-linear anisotropic polynomial degree distributions.

An examination of the metabolic processes underpinning critical swimming in Atlantic cod (Gadus morhua L.) using in vivo 31P-NMR spectroscopy.

Traditionally, critical swimming speed has been defined as the speed when a fish can no longer propel itself forward, and is exhausted. To gain a better understanding of the metabolic processes at work during a U(crit) swim test, and that lead to fatigue, we developed a method using in vivo (31)P-NMR spectroscopy in combination with a Brett-type swim tunnel. Our data showed that a metabolic transition point is reached when the fish change from using steady state aerobic metabolism to non-steady state anaerobic metabolism, as indicated by a significant increase in inorganic phosphate levels from 0.3+/-0.3 to 9.5+/-3.4 mol g(-1), and a drop in intracellular pH from 7.48+/-0.03 to 6.81+/-0.05 in muscle. This coincides with the point when the fish change gait from subcarangiform swimming to kick-and-glide bursts. As the number of kicks increased, so too did the Pi concentration, and the pH(i) dropped. Both changes were maximal at U(crit). A significant drop in Gibbs free energy change of ATP hydrolysis from -55.6+/-1.4 to -49.8+/-0.7 kJ mol(-1) is argued to have been involved in fatigue. This confirms earlier findings that the traditional definition of U(crit), unlike other critical points that are typically marked by a transition from aerobic to anaerobic metabolism, is the point of complete exhaustion of both aerobic and anaerobic resources.

Patient classification system: An integrated method for measuring nursing intensity and optimizing resource allocation

A patient classification system was developed integrating a patient acuity instrument with a computerized nursing distribution method based on a linear programming model. The system was designed for real-time measurement of patient acuity (workload) and allocation of nursing personnel to optimize the utilization of resources.^ The acuity instrument was a prototype tool with eight categories of patients defined by patient severity and nursing intensity parameters. From this tool, the demand for nursing care was defined in patient points with one point equal to one hour of RN time. Validity and reliability of the instrument was determined as follows: (1) Content validity by a panel of expert nurses; (2) predictive validity through a paired t-test analysis of preshift and postshift categorization of patients; (3) initial reliability by a one month pilot of the instrument in a practice setting; and (4) interrater reliability by the Kappa statistic.^ The nursing distribution system was a linear programming model using a branch and bound technique for obtaining integer solutions. The objective function was to minimize the total number of nursing personnel used by optimally assigning the staff to meet the acuity needs of the units. A penalty weight was used as a coefficient of the objective function variables to define priorities for allocation of staff.^ The demand constraints were requirements to meet the total acuity points needed for each unit and to have a minimum number of RNs on each unit. Supply constraints were: (1) total availability of each type of staff and the value of that staff member (value was determined relative to that type of staff's ability to perform the job function of an RN (i.e., value for eight hours RN = 8 points, LVN = 6 points); (2) number of personnel available for floating between units.^ The capability of the model to assign staff quantitatively and qualitatively equal to the manual method was established by a thirty day comparison. Sensitivity testing demonstrated appropriate adjustment of the optimal solution to changes in penalty coefficients in the objective function and to acuity totals in the demand constraints.^ Further investigation of the model documented: correct adjustment of assignments in response to staff value changes; and cost minimization by an addition of a dollar coefficient to the objective function. ^

RNA duplexes with biphenyl substituents as base replacements are less stable than DNA duplexes

Introduction of a hydrophobic biphenyl-C-nucleotide pair into a 11-mer RNA duplex is associated with a net penalty in the free energy of duplex formation of 2.0 kcal mol(-1) or 10 degrees C in T(m), relative to DNA. These differential stabilities are of relevance with respect to the transcriptional and translational aspects of hydrophobic base-pairs

Sex as a source of power? Backlash against self-sexualizing women

Although women are thought to possess sexual power, they risk social and economic penalties (i.e., backlash; Rudman, 1998) when they self-sexualize (i.e., assert their power; Cahoon & Edmonds, 1989; Glick, Larsen, Johnson, & Branstiter, 2005). Why? Drawing on the status incongruity hypothesis (SIH), which predicts backlash against powerful women because they challenge the gender hierarchy, we expected prejudice against self-sexualizing women to be explained by a dominance penalty rather than a communality deficit (Rudman, Moss-Racusin, Phelan, & Nauts, 2012). Two experiments supported this hypothesis, and Experiment 3 further showed that the dominance penalty was explained by ascribing power motives to self-sexualized women. These findings extend the SIH’s utility to the domain of self-sexualization and illuminate the scope of people’s discomfort with female power. Implications for the advancement of gender equality are discussed.

Random Sampling with Interspike-Intervals of the Exponential Integrate and Fire Neuron: A Computational Interpretation of UP-States

Oscillations between high and low values of the membrane potential (UP and DOWN states respectively) are an ubiquitous feature of cortical neurons during slow wave sleep and anesthesia. Nevertheless, a surprisingly small number of quantitative studies have been conducted only that deal with this phenomenon’s implications for computation. Here we present a novel theory that explains on a detailed mathematical level the computational benefits of UP states. The theory is based on random sampling by means of interspike intervals (ISIs) of the exponential integrate and fire (EIF) model neuron, such that each spike is considered a sample, whose analog value corresponds to the spike’s preceding ISI. As we show, the EIF’s exponential sodium current, that kicks in when balancing a noisy membrane potential around values close to the firing threshold, leads to a particularly simple, approximative relationship between the neuron’s ISI distribution and input current. Approximation quality depends on the frequency spectrum of the current and is improved upon increasing the voltage baseline towards threshold. Thus, the conceptually simpler leaky integrate and fire neuron that is missing such an additional current boost performs consistently worse than the EIF and does not improve when voltage baseline is increased. For the EIF in contrast, the presented mechanism is particularly effective in the high-conductance regime, which is a hallmark feature of UP-states. Our theoretical results are confirmed by accompanying simulations, which were conducted for input currents of varying spectral composition. Moreover, we provide analytical estimations of the range of ISI distributions the EIF neuron can sample from at a given approximation level. Such samples may be considered by any algorithmic procedure that is based on random sampling, such as Markov Chain Monte Carlo or message-passing methods. Finally, we explain how spike-based random sampling relates to existing computational theories about UP states during slow wave sleep and present possible extensions of the model in the context of spike-frequency adaptation.

hp-DGFEM for second-order mixed elliptic problems polyhedra

We prove exponential rates of convergence of hp-version discontinuous Galerkin (dG) interior penalty finite element methods for second-order elliptic problems with mixed Dirichlet-Neumann boundary conditions in axiparallel polyhedra. The dG discretizations are based on axiparallel, σ-geometric anisotropic meshes of mapped hexahedra and anisotropic polynomial degree distributions of μ-bounded variation. We consider piecewise analytic solutions which belong to a larger analytic class than those for the pure Dirichlet problem considered in [11, 12]. For such solutions, we establish the exponential convergence of a nonconforming dG interpolant given by local L 2 -projections on elements away from corners and edges, and by suitable local low-order quasi-interpolants on elements at corners and edges. Due to the appearance of non-homogeneous, weighted norms in the analytic regularity class, new arguments are introduced to bound the dG consistency errors in elements abutting on Neumann edges. The non-homogeneous norms also entail some crucial modifications of the stability and quasi-optimality proofs, as well as of the analysis for the anisotropic interpolation operators. The exponential convergence bounds for the dG interpolant constructed in this paper generalize the results of [11, 12] for the pure Dirichlet case.

Antidumping as Strategic Trade Policy Under Asymmetric Information

In the last two decades, trade liberalization under GATT/WTO has been partly offset by an increase in antidumping protection. Economists have argued convincingly that this is partly due to the inclusion of sales below cost in the definition of dumping during the GATT Tokyo Round. The introduction of the cost- based dumping definition gives regulating authorities a better opportunity to choose protection according to their liking. This paper investigates the domestic government's antidumping duty choice in an asymmetric information framework where the foreign firm's cost is observed by the domestic firm, but not by the government. To induce truthful revelation, the government can design a tariff schedule, contingent on firms' cost reports, accompanied by a threat to collect additional information for report verification (i.e., auditing) and, in case misreporting is detected, to set penalty duties. We show that depending on the concrete assumptions, the domestic government may not only be able to extract the true cost information, but also succeeds in implementing the full-information, governmental welfare-maximizing duty. In this case, the antidumping framework within GATT/WTO does not only offer the means to pursue strategic trade policy disguised as fair trade policy, but it also helps overcome the informational problems with regard to correctly determining the optimal strategic trade policy.

A Simple Theory of Increasing Penalties for Repeat Offenders

A feature of many penal codes is that punishments are more severe for repeat offenders, yet economic models have had a hard time providing a theoretical justification for this practice. This paper offers an explanation based on the wage penalty suffered by individuals convicted of crime. While this penalty probably deters some first-timers from committing crimes, it actually hampers deterrence of repeat offenders because of their diminished employments opportunities. We show that in this setting, an escalating penalty scheme is optimal and time consistent.

Crack and powder cocaine federal legislation: A sentencing disparity and potential for policy improvement

Since its introduction into the United States in the 1980s, crack cocaine has been a harsh epidemic that has taken its toll on a countless number of people. This highly addictive, cheap and readily available drug of abuse has permeated many demographic sectors, mostly in low income, lesser educated, and urban communities. This epidemic of crack cocaine use in inner city areas across the Unites States has been described as an expression of economic marginality and “social suffering” coupled with the local and international forces of drug market economies (Agar 2003). As crack cocaine is a derivative of cocaine, it utilizes the psychoactive component of the drug, but delivers it in a much stronger, quicker, and more addictive fashion. This, coupled with its ready availability and cheap price has allowed for users to not only become very addicted very quickly, but to be subject to the stringent and sometimes unequal or inconsistent punishments for possession and distribution of crack-cocaine. ^ There are many public health and social ramifications from the abuse of crack-cocaine, and these epidemics appear to target low income and minority groups. Public health issues relating to the physical, mental, and economic strain will be addressed, as well as the direct and indirect effects of the punishments that come as a result of the disparity in penalties for cocaine and crack-cocaine possession and distribution. ^ Three new policies have recently been introduced into the United Stated Congress that actively address the disparity in sentencing for drug and criminal activities. They are, (1) Powder-Crack Cocaine Penalty Equalization Act of 2009, (HR 18, 111th Cong. 2009), (2) The Drug Sentencing Reform and Cocaine Kingpin Trafficking Act of 2009, (HR 265, 111th Cong. 2009) and (3) The Justice Integrity Act of 2009, (111th Cong. 2009). ^ Although they have only been initiated, if passed, they have potential to not only eliminate the crack-cocaine disparity, but to enact laws that help those affected by this epidemic. The final and overarching goal of this paper is to analyze and ultimately choose the ideal policy that would not only eliminate the cocaine and crack disparity regardless of current or future state statutes, but will provide the best method of rehabilitation, prevention, and justice. ^

La iniciativa privada en los delitos sexuales [Bs. As. 1863-1921]

Los delitos sexuales entre la segunda mitad del siglo XIX y principios del XX presentan problemas particulares en relación a la posibilidad de su imputación y castigo vinculados a la forma particular como se conciben estos crímenes. Propongo, a partir del análisis de expedientes judiciales, problematizar algunas de estas cuestiones partiendo desde el análisis de su concepción como "dependientes de iniciativa privada" y por tanto la necesidad de una "acusación particular" que implicó largos debates en los tribunales ya que la interpretación de esta situación tuvo más de una lectura posible: quedaban satisfechos los requerimientos de la ley con la denuncia o debía continuarse la participación de la parte hasta la misma sentencia, es decir, llegar hasta la vista de acusación? En este contexto se pone entonces en discusión la participación del Agente Fiscal en el proceso en tanto acusador y por lo tanto el interés del Estado como tal en la persecución de estos crímenes. Busco, simultáneamente mostrar las discusiones que se dieron en la práctica penal, que reflejan distintas formas de interpretar y pensar estos delitos; las razones implícitas en su persecución y castigo o por el contrario de su finalización y falta de pena

Conflitos ambientais na microrregião de Viçosa-MG : O conflito entre a legislação ambiental e os produtores agrícolas e o excesso de penalização dos pequenos casos de infração à legislação ambiental

The research presented in this article aims to identify and to analyze the cases of environmental conflicts in the microrregião de Viçosa, Minas Gerais, Brasil. For this were performed data surveys were conducted in the archives of the Ministério Público regarding the municipalities of microrregião in study and a workshop with various social movements of the mesorregião da Zona da Mata. From this survey on we check the conflict established between environmental legislation and farm workers, and also the concentration of the penalty on small cases of violations of environmental legislation. Thus, we conclude that to think about environmental conflicts is require the recognition of inequalities of power and the different types of knowledge and rationalities involved in the appropriation of natural resources by society.

Conflitos ambientais na microrregião de Viçosa-MG : O conflito entre a legislação ambiental e os produtores agrícolas e o excesso de penalização dos pequenos casos de infração à legislação ambiental

The research presented in this article aims to identify and to analyze the cases of environmental conflicts in the microrregião de Viçosa, Minas Gerais, Brasil. For this were performed data surveys were conducted in the archives of the Ministério Público regarding the municipalities of microrregião in study and a workshop with various social movements of the mesorregião da Zona da Mata. From this survey on we check the conflict established between environmental legislation and farm workers, and also the concentration of the penalty on small cases of violations of environmental legislation. Thus, we conclude that to think about environmental conflicts is require the recognition of inequalities of power and the different types of knowledge and rationalities involved in the appropriation of natural resources by society.

La iniciativa privada en los delitos sexuales [Bs. As. 1863-1921]

Los delitos sexuales entre la segunda mitad del siglo XIX y principios del XX presentan problemas particulares en relación a la posibilidad de su imputación y castigo vinculados a la forma particular como se conciben estos crímenes. Propongo, a partir del análisis de expedientes judiciales, problematizar algunas de estas cuestiones partiendo desde el análisis de su concepción como "dependientes de iniciativa privada" y por tanto la necesidad de una "acusación particular" que implicó largos debates en los tribunales ya que la interpretación de esta situación tuvo más de una lectura posible: quedaban satisfechos los requerimientos de la ley con la denuncia o debía continuarse la participación de la parte hasta la misma sentencia, es decir, llegar hasta la vista de acusación? En este contexto se pone entonces en discusión la participación del Agente Fiscal en el proceso en tanto acusador y por lo tanto el interés del Estado como tal en la persecución de estos crímenes. Busco, simultáneamente mostrar las discusiones que se dieron en la práctica penal, que reflejan distintas formas de interpretar y pensar estos delitos; las razones implícitas en su persecución y castigo o por el contrario de su finalización y falta de pena