On certain discrete inequalities and their continous analogues

In a 1955 paper, Ky Fan, Olga Taussky, and John Todd presented discrete analogues of inequalities of Wirtinger type, and by taking limits they were able to recover the continuous inequalities. We generalize their techniques to mixed and higher derivatives and inequalities with weight functions in the integrals. We have also considered analogues of inequalities of Müller and Redheffer and have used these inequalities to derive a necessary and sufficient condition on ordered pairs of numbers so that the first number is the square norm of the k^th derivative of some periodic function and the second number is the square norm of the m^th derivative of the same periodic function.

Progress on the salmon investigation

An article detailing some of the conclusions of the salmon investigation undertaken by the author, on the River Eden and its tributaries, for the previous few years. It is proposed that seasonal changes in young salmon growth are related to water temperature variation. A figure is included showing length of fish compared to the average temperature of water in the River Eden over a two year duration. The article describes comparative work undertaken to date between three streams within the Thurso watershed and the River Eden. A table is included showing the average size of fish in each of the watercourses compared. Laboratory experiments on the effects of temperature on young salmon are outlined, as well as investigative work undertaken into the realtionship between fish scales and fish length.

Two and Three Finger Caging of Polygons and Polyhedra

Multi-finger caging offers a rigorous and robust approach to robot grasping. This thesis provides several novel algorithms for caging polygons and polyhedra in two and three dimensions. Caging refers to a robotic grasp that does not necessarily immobilize an object, but prevents it from escaping to infinity. The first algorithm considers caging a polygon in two dimensions using two point fingers. The second algorithm extends the first to three dimensions. The third algorithm considers caging a convex polygon in two dimensions using three point fingers, and considers robustness of this cage to variations in the relative positions of the fingers.

This thesis describes an algorithm for finding all two-finger cage formations of planar polygonal objects based on a contact-space formulation. It shows that two-finger cages have several useful properties in contact space. First, the critical points of the cage representation in the hand’s configuration space appear as critical points of the inter-finger distance function in contact space. Second, these critical points can be graphically characterized directly on the object’s boundary. Third, contact space admits a natural rectangular decomposition such that all critical points lie on the rectangle boundaries, and the sublevel sets of contact space and free space are topologically equivalent. These properties lead to a caging graph that can be readily constructed in contact space. Starting from a desired immobilizing grasp of a polygonal object, the caging graph is searched for the minimal, intermediate, and maximal caging regions surrounding the immobilizing grasp. An example constructed from real-world data illustrates and validates the method.

A second algorithm is developed for finding caging formations of a 3D polyhedron for two point fingers using a lower dimensional contact-space formulation. Results from the two-dimensional algorithm are extended to three dimension. Critical points of the inter-finger distance function are shown to be identical to the critical points of the cage. A decomposition of contact space into 4D regions having useful properties is demonstrated. A geometric analysis of the critical points of the inter-finger distance function results in a catalog of grasps in which the cages change topology, leading to a simple test to classify critical points. With these properties established, the search algorithm from the two-dimensional case may be applied to the three-dimensional problem. An implemented example demonstrates the method.

This thesis also presents a study of cages of convex polygonal objects using three point fingers. It considers a three-parameter model of the relative position of the fingers, which gives complete generality for three point fingers in the plane. It analyzes robustness of caging grasps to variations in the relative position of the fingers without breaking the cage. Using a simple decomposition of free space around the polygon, we present an algorithm which gives all caging placements of the fingers and a characterization of the robustness of these cages.

The ecology of the Gussage, a lined winterbourne

The Gussage, a Dorset winterhourne (intermittent chalk stream), has been used to convey water from a compensation borehole to the River Allen to supplement its flow to meet demand for water. Sections of the Gussage have been lined with chalk, butyl sheeting or polythene sheeting to prevent water loss through the porous bed. The effects of this major environmental modification associated with these abstraction practices in the winterbourne catchments have been studied in the Gussage system since 1973. To compensate for the lack of adequate pre-lining data, comparative studies have been made on 3 small unlined chalk streams of varying flow regimes, ie. the Crichel (a winterbourne), the North Winterbourne and the Tarrant (permanent discharge in the reaches studies). The distribution of macrophytes and invertebrates in winterbournes are compared with that in natural and artificial permanent streams. Statistical analysis showed samples from the winterbourne sites and the unmodified permanent stream sites are quite distinct, despite the fact that no samples were taken from winterbourne sites during the dry phase. This emphasizes the differences between the fauna of an intermittent and a permanent stream and suggests that alteration of the flow regime could be a significant factor. Where flow regime has been altered, as in the Gussage downstream of the borehole, the samples occupy an intermediate position. Within this group of modified sites there is no apparent gross difference between the invertebrates of lined or unlined reaches.

Alkylation of ketones with 3-bromomethyl-1,2-benzisothiazoles

The synthesis of 3-bromomethyl-1,2-benzisothiazole and its 5- and 7-methoxy derivatives has been accomplished. In alkylation reactions, these bromides were found to behave much like benzylic bromides; and in this respect they have been used successfully to alkylate strongly basic enolates, thus introducing a latent β-phenylethyl moiety in situations where β-phenylethyl bromide and phenacyl bromide give at best poor yields of alkylated product. In several cases, degradative procedures have been devised to remove the heteroatoms from the benzisothiazoyl system to provide the actual β-phenylethyl fragment; however, no generally applicable degradative method has yet been developed.

Nonperturbative dynamical decoupling with random control

Parametric fluctuations or stochastic signals are introduced into the rectangular pulse sequence to investigate the feasibility of random dynamical decoupling. In a large parameter region, we find that the out-of-order control pulses work as well as the regular pulses for dynamical decoupling and dissipation suppression. Calculations and analysis are enabled by and based on a nonperturbative dynamical decoupling approach allowed by an exact quantum-state-diffusion equation. When the average frequency and duration of the pulse sequence take proper values, the random control sequence is robust, fault-tolerant, and insensitive to pulse strength deviations and interpulse temporal separation in the quasi-periodic sequence. This relaxes the operational requirements placed on quantum control devices to a great deal.

Symposium on World tuna fisheries: commemorating the 50th anniversary of the establishment of the Inter-American Tropical Tuna Commission

The Inter-American Tropical Tuna Commission (lA TTC) came into existence in 1950, after its convention, signed by representatives ofCosta Rica and the United States in 1949, was ratified. It was the first international tuna organization, and only the third international fisheries organization, whose staff has had the responsibility for performing scientific research, the others being the International Pacific Halibut Commission, established in 1923, and the International Pacific Salmon Fisheries Commission, established in 1937. The current members of the IATTC are Costa Rica, Ecuador, EI Salvador, France, Guatemala, Japan, Mexico, Nicaragua, Panama, the United States, Vanuatu, and Venezuela. The first Director ofthe IATTC was Dr. Milner B. Schaefer, who was in that position from 1950 to 1963. He was followed by Dr. John L. Kask (1963-1969), Dr. James Joseph (1969-1999), and Dr. Robin L. Allen (1999-present). The success ofthe IATIC showed that it was possible to carry out research and management on an international, high-seas fishery successfully. Since then other international organizations for tuna management, including the International Commission for the Conservation of Atlantic Tunas (1969), the Forum Fisheries Agency (1979), the Commission for the Conservation of Southern Bluefin Tuna (1994), and the Indian Ocean Tuna Commission (1996), were established. Appropriately, the 50th anniversary celebration was held in Costa Rica, one of the two charter members of the IATTC. Persons who have held important positions in international fishery management in various parts ofthe world spoke at the celebration. Their presentations, except for that describing the Indian Ocean Tuna Commission, are reproduced in this volume.

Incidental Memory of Younger and Older Adults for Objects Encountered in a Real World Context

Effects of context on the perception of, and incidental memory for, real-world objects have predominantly been investigated in younger individuals, under conditions involving a single static viewpoint. We examined the effects of prior object context and object familiarity on both older and younger adults' incidental memory for real objects encountered while they traversed a conference room. Recognition memory for context-typical and context-atypical objects was compared with a third group of unfamiliar objects that were not readily named and that had no strongly associated context. Both older and younger adults demonstrated a typicality effect, showing significantly lower 2-alternative-forced-choice recognition of context-typical than context-atypical objects; for these objects, the recognition of older adults either significantly exceeded, or numerically surpassed, that of younger adults. Testing-awareness elevated recognition but did not interact with age or with object type. Older adults showed significantly higher recognition for context-atypical objects than for unfamiliar objects that had no prior strongly associated context. The observation of a typicality effect in both age groups is consistent with preserved semantic schemata processing in aging. The incidental recognition advantage of older over younger adults for the context-typical and context-atypical objects may reflect aging-related differences in goal-related processing, with older adults under comparatively more novel circumstances being more likely to direct their attention to the external environment, or age-related differences in top-down effortful distraction regulation, with older individuals' attention more readily captured by salient objects in the environment. Older adults' reduced recognition of unfamiliar objects compared to context-atypical objects may reflect possible age differences in contextually driven expectancy violations. The latter finding underscores the theoretical and methodological value of including a third type of objects-that are comparatively neutral with respect to their contextual associations-to help differentiate between contextual integration effects (for schema-consistent objects) and expectancy violations (for schema-inconsistent objects).

Helmholtz Fermi surface harmonics: an efficient approach for treating anisotropic problems involving Fermi surface integrals

We present a new efficient numerical approach for representing anisotropic physical quantities and/or matrix elements defined on the Fermi surface (FS) of metallic materials. The method introduces a set of numerically calculated generalized orthonormal functions which are the solutions of the Helmholtz equation defined on the FS. Noteworthy, many properties of our proposed basis set are also shared by the FS harmonics introduced by Philip B Allen (1976 Phys. Rev. B 13 1416), proposed to be constructed as polynomials of the cartesian components of the electronic velocity. The main motivation of both approaches is identical, to handle anisotropic problems efficiently. However, in our approach the basis set is defined as the eigenfunctions of a differential operator and several desirable properties are introduced by construction. The method is demonstrated to be very robust in handling problems with any crystal structure or topology of the FS, and the periodicity of the reciprocal space is treated as a boundary condition for our Helmholtz equation. We illustrate the method by analysing the free-electron-like lithium (Li), sodium (Na), copper (Cu), lead (Pb), tungsten (W) and magnesium diboride (MgB2)

Gestão por competências: as implicações sobre o comprometimento e a cidadania organizacional

Neste estudo foram verificadas as implicações da gestão por competências nos comportamentos de cidadania organizacional (CCO) e no comprometimento organizacional. Buscamos verificar até que ponto os modelos de gestão de pessoas baseados em competências podem influenciar positiva ou negativamente os CCO e o comprometimento, ou seja, até que ponto estas práticas funcionam como um elemento que estimula ou auxilia na desintegração, reduzindo a adoção dos comportamentos de cidadania organizacional e também o comprometimento com a organização. A pesquisa foi realizada em uma organização multinacional fabricante de produtos óticos, que utiliza os modelos de gestão baseados em competências para seleção, avaliação e remuneração variável de seus funcionários há três anos. Para investigação do comprometimento organizacional adotamos como referencial o Modelo de Três Componentes de Meyer e Allen. Para a investigação dos comportamentos de cidadania organizacional utilizamos como referência as quatro dimensões encontradas a partir dos estudos de Armênio Rego e seus colaboradores. A metodologia adotada combinou métodos quantitativos e qualitativos. Nos levantamentos quantitativos usamos a escala para mensurar o comprometimento desenvolvida por Meyer Allen e Smith, traduzida e validada para o contexto brasileiro por Medeiros, e a escala de comportamentos de cidadania organizacional desenvolvida por Armênio Rego e colaboradores. Os resultados alcançados indicam que a população estudada apresenta um grau satisfatório de comprometimento global, com maior presença da dimensão afetiva. Com relação aos CCO, os mesmos também encontram-se presentes em um grau adequado nesta amostra com maior destaque nas dimensões harmonia interpessoal e iniciativa. Dentre as conclusões obtidas a partir do estudo, destacamos que os resultados indicam a existência de variáveis organizacionais que parecem estar contribuindo para neutralizar a competição e o individualimo, por vezes potencializado pelas práticas de gestão baseadas em competências.