Linear instability of orthogonal compressible leading-edge boundary layer flow

Instability analysis of compressible orthogonal swept leading-edge boundary layer flow was performed in the context of BiGlobal linear theory. 1, 2 An algorithm was developed exploiting the sparsity characteristics of the matrix discretizing the PDE-based eigenvalue problem. This allowed use of the MUMPS sparse linear algebra package 3 to obtain a direct solution of the linear systems associated with the Arnoldi iteration. The developed algorithm was then applied to efficiently analyze the effect of compressibility on the stability of the swept leading-edge boundary layer and obtain neutral curves of this flow as a function of the Mach number in the range 0 ≤ Ma ≤ 1. The present numerical results fully confirmed the asymptotic theory results of Theofilis et al. 4 Up to the maximum Mach number value studied, it was found that an increase of this parameter reduces the critical Reynolds number and the range of the unstable spanwise wavenumbers.

A geometric characterization of the upper bound for the span of the jones polynomial

Let D be a link diagram with n crossings, sA and sB be its extreme states and |sAD| (respectively, |sBD|) be the number of simple closed curves that appear when smoothing D according to sA (respectively, sB). We give a general formula for the sum |sAD| + |sBD| for a k-almost alternating diagram D, for any k, characterizing this sum as the number of faces in an appropriate triangulation of an appropriate surface with boundary. When D is dealternator connected, the triangulation is especially simple, yielding |sAD| + |sBD| = n + 2 - 2k. This gives a simple geometric proof of the upper bound of the span of the Jones polynomial for dealternator connected diagrams, a result first obtained by Zhu [On Kauffman brackets, J. Knot Theory Ramifications6(1) (1997) 125–148.]. Another upper bound of the span of the Jones polynomial for dealternator connected and dealternator reduced diagrams, discovered historically first by Adams et al. [Almost alternating links, Topology Appl.46(2) (1992) 151–165.], is obtained as a corollary. As a new application, we prove that the Turaev genus is equal to the number k of dealternator crossings for any dealternator connected diagram

Polynomial approximation using particle swarm optimization of lineal enhanced neural networks with no hidden layers.

This paper presents some ideas about a new neural network architecture that can be compared to a Taylor analysis when dealing with patterns. Such architecture is based on lineal activation functions with an axo-axonic architecture. A biological axo-axonic connection between two neurons is defined as the weight in a connection in given by the output of another third neuron. This idea can be implemented in the so called Enhanced Neural Networks in which two Multilayer Perceptrons are used; the first one will output the weights that the second MLP uses to computed the desired output. This kind of neural network has universal approximation properties even with lineal activation functions. There exists a clear difference between cooperative and competitive strategies. The former ones are based on the swarm colonies, in which all individuals share its knowledge about the goal in order to pass such information to other individuals to get optimum solution. The latter ones are based on genetic models, that is, individuals can die and new individuals are created combining information of alive one; or are based on molecular/celular behaviour passing information from one structure to another. A swarm-based model is applied to obtain the Neural Network, training the net with a Particle Swarm algorithm.

On the design and measurement of a novel non-orthogonal multi-beam network for triangular arrays of three radiating elements

An innovative dissipative multi-beam network for triangular arrays of three radiating elements is proposed. This novel network provides three orthogonal beams in θ0 elevation angle and a fourth one in the broadside steering direction. The network is composed of 90º hybrid couplers and fixed phase shifters. In this paper, a relation between network components, radiating element distance and beam steering directions will be shown. Application of the proposed dissipative network to the triangular cells of three radiating elements that integrate the intelligent antenna GEODA will be exhibited. This system works at 1.7 GHz, it has a 60º single radiating element beamwidth and a distance between array elements of 0.57 λ. Both beam patterns, theoretical and simulated, obtained with the network will be depicted. Moreover, the whole system, dissipative network built with GEODA cell array, has been measured in the anechoic chamber of the Radiation Group of Technical University of Madrid, demonstrating expected performance.

Orthogonal MCMC algorithms

Monte Carlo (MC) methods are widely used in signal processing, machine learning and stochastic optimization. A well-known class of MC methods are Markov Chain Monte Carlo (MCMC) algorithms. In this work, we introduce a novel parallel interacting MCMC scheme, where the parallel chains share information using another MCMC technique working on the entire population of current states. These parallel ?vertical? chains are led by random-walk proposals, whereas the ?horizontal? MCMC uses a independent proposal, which can be easily adapted by making use of all the generated samples. Numerical results show the advantages of the proposed sampling scheme in terms of mean absolute error, as well as robustness w.r.t. to initial values and parameter choice.

A finite class of orthogonal functions generated by Routh-Romanovski polynomials

It is known that some orthogonal systems are mapped onto other orthogonal systems by the Fourier transform. In this article we introduce a finite class of orthogonal functions, which is the Fourier transform of Routh-Romanovski orthogonal polynomials, and obtain its orthogonality relation using Parseval identity.

Polynomial regression using a perceptron with axo-axonic connections

Social behavior is mainly based on swarm colonies, in which each individual shares its knowledge about the environment with other individuals to get optimal solutions. Such co-operative model differs from competitive models in the way that individuals die and are born by combining information of alive ones. This paper presents the particle swarm optimization with differential evolution algorithm in order to train a neural network instead the classic back propagation algorithm. The performance of a neural network for particular problems is critically dependant on the choice of the processing elements, the net architecture and the learning algorithm. This work is focused in the development of methods for the evolutionary design of artificial neural networks. This paper focuses in optimizing the topology and structure of connectivity for these networks

Efecto sobre el rendimiento productivo y calidad de la canal de la inclusión de guisantes (Pisum sativum) y alberjón (Vicia narbonensis) en el pienso de lechones y cerdos de cebo

Las leguminosas grano presentan un perfil nutricional de gran interés para alimentación de ganado porcino, debido principalmente a su elevado contenido proteico. Sin embargo, la presencia de factores antinutritivos (FAN), que según el género difieren en calidad y cantidad, condiciona la absorción de la proteína, el nutriente más valorado. El objetivo de esta Tesis Doctoral ha sido el estudio del efecto de los principales FAN de guisante y alberjón sobre el rendimiento productivo, de canal y de piezas nobles, cuando sustituyen a la soja, parcial o totalmente, durante la fase estárter y el periodo de engorde de cerdos grasos. Con este motivo se llevaron a cabo 4 ensayos con machos castrados y la misma línea genética: híbrido Duroc x (Landrace x Large white). En el ensayo 1, se estudió la influencia de distintos niveles de inhibidores de proteasas (IP) en el pienso sobre la productividad de lechones durante la fase estárter (40 a 61 días de edad). Para ello, se utilizaron tres variedades de guisantes de invierno que contenían diferentes cantidades de IP, tanto de tripsina (IT) como de quimotripsina (IQ) [unidades de tripsina inhibida/mg (UTI), unidades de quimotripsina inhibida/mg (UQI): 9,87- 10,16, 5,75-8,62 y 12,55-15,75, para guisantes Cartouche, Iceberg y Luna, respectivamente] más elevadas que en la harina de soja 47 (HnaS) y en la soja extrusionada (SE) (UTI/mg - UQI/mg: 0,61-3,56 y 2,36-4,65, para HnaS y SE, respectivamente). El diseño experimental fue al azar, con cuatro tratamientos dietéticos que diferían en las fuentes proteicas y en la cantidad de IP, enfrentando un pienso control de soja a otros tres piensos con guisantes de invierno de las variedades indicadas, que sustituían parcialmente a la soja. Cada tratamiento se replicó cuatro veces, siendo la celda con 6 lechones la unidad experimental. Los animales que consumieron el pienso con guisante Cartouche tuvieron más ganancia media diaria (GMD) que el resto (P < 0,001) con el mismo consumo medio diario (CMD) e índice de conversión (IC). No hubo diferencias significativas entre los animales del pienso control y los que consumieron piensos con guisantes Iceberg y Luna. En el ensayo 2 la leguminosa objeto de estudio fue el alberjón y su FAN el dipéptido _Glutamyl-S-Ethenyl-Cysteine (GEC). El diseño y el periodo experimental fueron los mismos que en el ensayo 1, con cuatro dietas que variaban en el porcentaje de alberjones: 0%, 5%, 15% y 25%, y de GEC (1,54% del grano). Los lechones que consumieron el pienso con 5% tuvieron un CMD y GMD más elevado (P < 0,001), con el mismo IC que los animales pertenecientes al tratamiento 0%. Los índices productivos empeoraron significativamente y de manera progresiva al aumentar el porcentaje de alberjones (15 y 25%). Se obtuvieron ecuaciones de regresión con estructura polinomial que fueron significativas tanto para el nivel de alberjón como para la cantidad de GEC presente en el pienso. El ensayo 3 se efectuó durante el periodo de engorde, sustituyendo por completo la soja a partir de los 84 días de edad con las tres variedades de guisantes de invierno, observando el efecto sobre el rendimiento productivo, de canal y piezas nobles. El diseño, en bloques completos al azar, tuvo cuatro tratamientos según el guisante presente en el pienso y, por lo tanto, los niveles de IP: Control-soja, Cartouche, Iceberg y Luna, con 12 réplicas de 4 cerdos por tratamiento. De 84 a 108 días de edad los animales que consumieron los piensos Control-soja e Iceberg, tuvieron el mismo CMD y GMD, empeorando en los cerdos alimentados con Luna y Cartouche (P < 0,05). El IC fue igual en los tratamientos Control-soja e Iceberg, ocupando una posición intermedia en Cartouche y peor en los cerdos del pienso Luna (P < 0,001). De 109 a 127 días de edad la GMD y el IC fueron iguales, con un CMD más elevado en Control-soja e Iceberg que en los cerdos que consumieron Cartouche y Luna (P < 0,05). No hubo diferencias significativas durante el acabado (128 a 167 días de edad). Globalmente el CMD y GMD fueron más elevados en los cerdos que comieron los piensos Iceberg y Control-soja, empeorando por igual en los que comieron Cartouche y Luna (P < 0,05); el IC fue el mismo en todos los tratamientos. No se observaron diferencias en los datos relacionados con peso y rendimiento de canal y piezas nobles (jamón, paleta y chuletero), ni del contenido de grasa intramuscular en el lomo y proporción de ácidos grasos principales (C16:0, C18:0, C18:1n-9) en la grasa subcutánea. En el ensayo 4, realizado durante el periodo de engorde (60 a 171 días de edad), se valoró el efecto de dietas con distintos niveles de alberjones, y en consecuencia de su factor antinutritivo el dipéptido GEC, sobre el rendimiento productivo y la calidad de la canal y piezas nobles. El diseño fue en cuatro bloques completos al azar, con cuatro tratamientos según el porcentaje de inclusión de alberjón en el pienso: 0%, 5%, 15% y 25%, con 12 réplicas por tratamiento y cuatro cerdos en cada una de ellas. El tratamiento con 5% mejoró la GMD al final de la fase de cebo (152 días de vida) y, junto con el 0%, presentaron los resultados más favorables de peso e IC al final del ensayo (171 días de vida). Del mismo modo, el peso y rendimiento de canal fueron más elevados en los cerdos alimentados con los tratamientos 0% y 5% (P < 0,001). Piensos con el 15 y 25% de alberjones empeoraron los resultados productivos, así como el rendimiento y peso de canal. Sucedió lo mismo con el peso de las piezas nobles (jamón, paleta y chuletero), significativamente superior en 0% y 5% frente a 15% y 25%, siendo los cerdos que consumieron este último pienso los peores. Por el contrario el rendimiento de jamón y chuletero fue más elevado en los cerdos de los tratamientos 25% y 15% que en los que consumieron los piensos con 5% y 0% (P < 0,001); en el rendimiento de paletas se invirtieron los resultados, siendo mayores en los animales de los tratamientos 0% y 5% (P < 0,001). Se obtuvieron ecuaciones de regresión polinomial, para estimar las cantidades de inclusión de alberjones y de GEC más favorables desde el punto de vista productivo, así como los contrastes ortogonales entre los distintos tratamientos. ABSTRACT The grain legumes have a nutritional profile of great interest to feed pigs, mainly due to high protein content. However, the presence of antinutritional factors (ANF), which differ in quality and quantity according to gender, hinder the absorption of the protein, the most valuable nutrient. The aim of this thesis was to study the effect of the main ANF of pea and narbon vetch (NV) on productive performance, of the carcass and main lean cuts, when replacing soybean, partially or totally, during the starter phase and the fattening period of heavy pigs. For this reason were carried four trials with barrows and the same genetic line: Duroc hybrid x (Landrace x Large white). In trial 1, was studied the influence of different levels of protease inhibitors (PI) in the diet over productivity of piglets during the starter phase (40-61 days of age). For this, were used three varieties of winter peas containing different amounts of PI, both trypsin (TI) and chymotrypsin (CI) [inhibited units/mg trypsin (TIU), inhibited units/mg chymotrypsin (CIU): 9.87 - 10.16, 5.75 - 8.62 and 12.55 - 15.75, for peas Cartouche, Iceberg and Luna, respectively] higher than in soybean meal 47 (SBM) and soybeans extruded (SBE) (TIU/mg - CIU/mg: 0.61 - 3.56 and 2.36 - 4.65 for SBM and SBE, respectively). The design was randomized with four dietary treatments differing in protein sources and the amount of PI, with a control diet of soybean and three with different varieties of winter peas: Cartouche, Iceberg and Luna, which partially replace soybean. Each treatment was replicated four times, being the pen with 6 piglets the experimental unit. Pigs that ate the feed with pea Cartouche had better growth (ADG) than the rest (P < 0.001), with the same average daily feed intake (ADFI) and feed conversion ratio (FCR). There were no significant differences between piglets fed with control diet and those fed Iceberg and Luna diets. In trial 2 the legume under study was the NV and your ANF the dipeptide _Glutamyl FAN-S-Ethenyl-Cysteine (GEC). The experimental period and the design were the same as in trial 1, with four diets with different percentage of NV: 0%, 5%, 15% and 25%, and from GEC (1.52% of the grain). The piglets that consumed the feed containing 5% had higher ADG and ADFI (P < 0.05), with the same FCR that pigs belonging to the 0% treatment. Production rates worsened progressively with increasing percentage of NV (15 and 25%). Were obtained regression equations with polynomial structure that were significant for NV percentage and amount of GEC present in the feed. The test 3 was carried out during the fattening period, completely replace soy from 84 days of age with three varieties of winter peas, observing the effect on the yield, carcass and main lean cuts. The design, randomized complete blocks, had four treatments with different levels of PI: Control-soy, Cartouche, Iceberg and Luna, with 12 replicates of 4 pigs per treatment. From 84 to 108 days of age the pigs fed with Control-soy and Iceberg feed, had the same ADFI and ADG, worsening in pigs fed with Luna and Cartouche (P < 0.05). The FCR was similar in diets Control-soy and Iceberg, occupying an intermediate position in Cartouche and worse in pigs fed with Luna (P < 0.001). From 109-127 days of age the ADG and FCR were equal, with higher ADFI in pigs fed with Control-soy and Iceberg, regarding pigs fed with Cartouche and Luna (P < 0.05). There was no difference in the finishing phase (128-167 days of age). In global period, the ADFI and ADG were higher in pigs that ate Control-soy and Iceberg, and worse in those who ate Cartouche and Luna. The FCR was the same in all treatments. No significant differences were observed in the data related to weight and carcass yield, main lean cuts (ham, shoulder and loin chop) and intramuscular fat loin content and major fatty acids proportion (C16:0, C18:0, C18:1n-9) of subcutaneous fat. In experiment 4, made during the fattening period (60-171 days of age), was assessed the effect of diets with different levels of NV, and consequently of GEC, in the performance and quality of carcass and main lean cuts. There was a completely randomized design with four dietary treatments differing in percentage of NV: 0%, 5%, 15% and 25%, with 12 replicates per treatment and four pigs each. Treatment with 5% improved the ADG at the end of the fattening phase (152 days of age) and, together with 0%, showed the most favorable body weight and FCR at the end of the trial (171 days of age). Similarly, the weight and performance of carcass were higher for pigs fed with diets 0% and 5% (P < 0.05). Diets with 15 and 25% worsened the productive and carcass results. The weight of the main lean cuts (ham, shoulder and loin chop) was significantly higher in 0% and 5% vs 15% and 25%.The diet 25% was the worst of all. By contrast the performance of ham and loin chop was higher in pigs fed with diets 25% and 15%, that those who ate diets with 5% and 0% (P < 0.001); the results of shoulder performance were reversed, being greater in pigs feed with diets 0% and 5% (P < 0.001). Polynomial regression equations were obtained to estimate the percentage of NV and GEC more favorable from the point of view of production, and orthogonal contrasts between treatments.

Solution of the pulse width modulation problem using orthogonal polynomials and Korteweg-de Vries equations

The mathematical underpinning of the pulse width modulation (PWM) technique lies in the attempt to represent “accurately” harmonic waveforms using only square forms of a fixed height. The accuracy can be measured using many norms, but the quality of the approximation of the analog signal (a harmonic form) by a digital one (simple pulses of a fixed high voltage level) requires the elimination of high order harmonics in the error term. The most important practical problem is in “accurate” reproduction of sine-wave using the same number of pulses as the number of high harmonics eliminated. We describe in this paper a complete solution of the PWM problem using Padé approximations, orthogonal polynomials, and solitons. The main result of the paper is the characterization of discrete pulses answering the general PWM problem in terms of the manifold of all rational solutions to Korteweg-de Vries equations.

Double-level “orthogonal” dynamic combinatorial libraries on transition metal template

Dynamic combinatorial libraries are mixtures of compounds that exist in a dynamic equilibrium and can be driven to compositional self adaptation via selective binding of a specific assembly of certain components to a molecular target. We present here an extension of this initial concept to dynamic libraries that consists of two levels, the first formed by the coordination of terpyridine-based ligands to the transition metal template, and the second, by the imine formation with the aldehyde substituents on the terpyridine moieties. Dialdehyde 7 has been synthesized, converted into a variety of ligands, oxime ethers L11–L33 and acyl hydrazones L44–L77, and subsequently into corresponding cobalt complexes. A typical complex, Co(L22)22+ is shown to engage in rapid exchange with a competing ligand L11 and with another complex, Co(L22)22+ in 30% acetonitrile/water at pH 7.0 and 25°C. The exchange in the corresponding Co(III) complexes is shown to be much slower. Imine exchange in the acyl hydrazone complexes (L44–L77) is strongly controlled by pH and temperature. The two types of exchange, ligand and imine, can thus be used as independent equilibrium processes controlled by different types of external intervention, i.e., via oxidation/reduction of the metal template and/or change in the pH/temperature of the medium. The resulting double-level dynamic libraries are therefore named orthogonal, in similarity with the orthogonal protecting groups in organic synthesis. Sample libraries of this type have been synthesized and showed the complete expected set of components in electrospray ionization MS.