On Solutions of Holonomic Divided-Difference Equations on Non-Uniform Lattices

The main aim of this paper is the development of suitable bases (replacing the power basis x^n (n\in\IN_\le 0) which enable the direct series representation of orthogonal polynomial systems on non-uniform lattices (quadratic lattices of a discrete or a q-discrete variable). We present two bases of this type, the first of which allows to write solutions of arbitrary divided-difference equations in terms of series representations extending results given in [16] for the q-case. Furthermore it enables the representation of the Stieltjes function which can be used to prove the equivalence between the Pearson equation for a given linear functional and the Riccati equation for the formal Stieltjes function. If the Askey-Wilson polynomials are written in terms of this basis, however, the coefficients turn out to be not q-hypergeometric. Therefore, we present a second basis, which shares several relevant properties with the first one. This basis enables to generate the defining representation of the Askey-Wilson polynomials directly from their divided-difference equation. For this purpose the divided-difference equation must be rewritten in terms of suitable divided-difference operators developed in [5], see also [6].

Controlling the transport of an ion: classical and quantum mechanical solutions

The accurate transport of an ion over macroscopic distances represents a challenging control problem due to the different length and time scales that enter and the experimental limitations on the controls that need to be accounted for. Here, we investigate the performance of different control techniques for ion transport in state-of-the-art segmented miniaturized ion traps. We employ numerical optimization of classical trajectories and quantum wavepacket propagation as well as analytical solutions derived from invariant based inverse engineering and geometric optimal control. The applicability of each of the control methods depends on the length and time scales of the transport. Our comprehensive set of tools allows us make a number of observations. We find that accurate shuttling can be performed with operation times below the trap oscillation period. The maximum speed is limited by the maximum acceleration that can be exerted on the ion. When using controls obtained from classical dynamics for wavepacket propagation, wavepacket squeezing is the only quantum effect that comes into play for a large range of trapping parameters. We show that this can be corrected by a compensating force derived from invariant based inverse engineering, without a significant increase in the operation time.

Compositional data analysis of archaeological glass: problems and possible solutions

Presentation in CODAWORK'03, session 4: Applications to archeometry

Building Software Solutions

This presentation explains how we move from a problem definition to an algorithmic solution using simple tools like noun verb analysis. It also looks at how we might judge the quality of a solution through coupling, cohesion and generalisation.

Subchronic 3, 4-methylenedioximethamphetamine (mdma) reverts anxiety induced by chronic mild stress

Here we report the effects of subchronic 3, 4-Methylenedioximethamphetamine (MDMA) on the elevated plus-maze, a widely used animal model of anxiety. Rats exposed to a mild chronic stress (MCS) protocol received intracerebroventricular microinjections of the selective serotonin reuptake inhibitor (SSRI) – fluoxetine (2.0ug/ul) or 3, 4-Methylenedioximethamphetamine (MDMA, 2.0ug/ul) for seven days. On the eighth day rats were tested in the elevated plus-maze. Our results showed that sub-chronic MDMA interacted with MCS leading to a decrease in anxiety-related behaviors including: percentage of open arms entries (F[2,26]=4.00; P=0.031), time spent in the open arms (F[2,26]=3.656; P=0.040) and time spent in the open arms extremities (F[2,26]=5.842; P=0.008). These results suggest a potential effect of MDMA in the reversion of the emotional significance of aversive stimuli.

Palm-plantar pallor as a diagnostic method of mild-moderate anemia

Objective: to determine the palm-plant paleness’ characteristics in Colombian infant rural population, as a diagnostic method of anemia, and to establish a correlation between the finding of palm-plant paleness and the Hematocrit values. Methodology: a cross sectional study was used to evaluate 169 boys and girls, between 2 months and 12 years old, of the rural area of San Vicente del Caguan, who entered into a Health Campaign. Following the signature of an informed consent, parents accept their children to participate in the study. Those with acute or chronic pathologies were excluded. The presence of palm-plant paleness was determined by observers trained in the Integrated Management of Childhood Illness (IMCI) Strategy. Hematocrit was measured to all children, as well as a peripheral blood smear. Interrater concordance evaluation (Kappa index) was determined through a pilot test and a validation (sensitivity, specificity) was performed, using Hematocrit as the standard. Results: 93 of the participants were male and 77 were female. 45% of them had palm paleness. The Hematocrit showed anemia in 34.1% of the children. The validation analysis demonstrated a 67.2% of sensibility, a 66.6% of specificity, a 51.3% of positive predictive values and a 79.5% of negative predictive values. Hypochromic and Eosinophilia were found in most of the peripheral blood smears’ children with anemia. Conclusions: although this tool presents a low sensibility and specificity for low/moderated anemia, it is useful for excluding it in infants without palm paleness.

Soluciones hipertónicas en trauma craneoencefálico: revisión sistemática de la literatura

El traumatismo craneoencefálico, es la epidemia silenciosa de nuestra época, que genera gastos en salud, en países como Estados Unidos, cercanos a los 60 billones de dólares anuales, y cerca de 400 billones en rehabilitación de los discapacitados. El pilar del manejo médico del trauma craneoencefálico moderado o severo, es la osmoterapia, principalmente con sustancias como el manitol y las soluciones hipertónicas. Se realizó la revisión de 14 bases de datos, encontrando 4657754 artículos, quedando al final 40 artículos después de un análisis exhaustivo, que se relacionaban con el manejo de la hipertensión endocraneana y terapia osmótica. Resultados: Se compararon diferentes estudios, encontrando gran variabilidad estos, sin homogenización en los análisis estadísticos, y la poca rigurosidad no permitieron, la recolección de datos y la comparación entre los diferentes estudios, no permitió realizar el meta-análisis y por esto se decidió la realización de una revisión sistemática de la literatura. Se evidenció principalmente tres cosas: la primera es la poca rigurosidad con la que se realizan los estudios clínicos; la segunda, es que aún falta mucha más investigación principalmente, la presencia de estudios clínicos aleatorizados multicéntricos, que logren dar una sólida evidencia y que genere validez científica que se requiere, a pesar de la evidencia clara en la práctica clínica; la tercera es la seguridad para su uso, con poca presencia de complicaciones para las soluciones salinas hipertónicas.

Dynamic programming for stochastic target problems, Viscosity solutions and hedging in markets with Portfolio constraints and large investors

The purpose of this expository arti le is to present a self- ontained overview of some results on the hara terization of the optimal value fun tion of a sto hasti target problem as (dis ontinuous) vis osity solution of a ertain dynami programming PDE and its appli ation to the problem of hedging ontingent laims in the presen e of portfolio onstraints and large investors

500 activities for the primary classroom: inmediate ideas and solutions.

Compendio de actividades para profesores de niños entre cuatro y doce años. El recurso se divide en diez secciones que reflejan las áreas clave en la enseñanza del idioma: la escucha y el habla, la lectura y la escritura, vocabulario y gramática, cuentos y teatro, juegos, rimas, cantos y canciones, el arte y la artesanía, el aprendizaje basado en contenidos, las TIC y multimedia, y aprender a aprender. Cada actividad incluye el rango de edad para la que puede ser adecuada.

Standard level Mathematics: worked solutions CD developed for the IB Diploma.

Este práctico CD-ROM de ejercicios cubre las necesidades básicas para conseguir el Diploma de Bachillerato Internacional en estudios de matemáticas. Los temas de los ejercicios del CD-ROM son: álgebra y números (ecuaciones de segundo grado), lógica y probabilidad, funciones (funciones exponenciales y gráficos), geometría y trigonometría (la regla del seno y el área de un triángulo, la regla del coseno), estadísticas (clasificación de datos, tablas de frecuencia y polígonos), cálculo diferencial (ecuaciones de línea tangentes), matemáticas financieras.

Cognitive function in normal aging and in older adults with mild cognitive impairment

Resumen tomado de la publicación

Evaluating the performance of external fault ridethrough solutions used in wind farms with fixed speed induction generators when facing unbalanced faults

Na sequência da integração da energia eólica em larga escala foram estabelecidos códigos de rede pelos vários operadores de sistema, exigindo que os parques eólicos permaneçam em serviço durante e após a ocorrência de defeitos na rede a montante. Nos parques eólicos equipados com sistemas de velocidade constante este requisito pode ser assegurado pela instalação, no ponto de interligação à rede, de equipamento de compensação dinâmica de potência reactiva, controlado como fonte de tensão, sendo as funções de controlo baseadas em medidas efectuadas no ponto de interligação relativamente às componentes directas da tensão e da corrente. Como a adopção deste tipo de soluções externas é adequada ao funcionamento do sistema em regime equilibrado, este artigo foca a avaliação do desempenho da solução no caso da ocorrência de defeitos assimétricos. Os resultados obtidos através das simulações dinâmicas evidenciam o aparecimento de sobre tensões nas fases não afectadas pelo defeito que poderão colocar o parque eólico fora de serviço.

Aviation solutions

Overview Some of the Challenges - Future Technology - Capacity - Safety Working with Airports, Air Traffic Service Providers and Airlines The Role of the Regulator Air Traffic Service Providers