Cation-pi interactions in aromatics of biological and medicinal interest: electrostatic potential surfaces as a useful qualitative guide.

The cation-pi interaction is an important, general force for molecular recognition in biological receptors. Through the sidechains of aromatic amino acids, novel binding sites for cationic ligands such as acetylcholine can be constructed. We report here a number of calculations on prototypical cation-pi systems, emphasizing structures of relevance to biological receptors and prototypical heterocycles of the type often of importance in medicinal chemistry. Trends in the data can be rationalized using a relatively simple model that emphasizes the electrostatic component of the cation-pi interaction. In particular, plots of the electrostatic potential surfaces of the relevant aromatics provide useful guidelines for predicting cation-pi interactions in new systems.

A continuous model for quasinilpotent operators.

A classical result due to Foias and Pearcy establishes a discrete model for every quasinilpotent operator acting on a separable, infinite-dimensional complex Hilbert space HH . More precisely, given a quasinilpotent operator T on HH , there exists a compact quasinilpotent operator K in HH such that T is similar to a part of K⊕K⊕⋯⊕K⊕⋯K⊕K⊕⋯⊕K⊕⋯ acting on the direct sum of countably many copies of HH . We show that a continuous model for any quasinilpotent operator can be provided. The consequences of such a model will be discussed in the context of C0C0 -semigroups of quasinilpotent operators.

Complejos turísticos residenciales: análisis del crecimiento del turismo residencial en el Mediterráneo español y en el Litoral Nordestino (Brasil) y su impacto socio-ambiental

Entre las diversas formas de turismo que aparecen a partir de la segunda mitad del siglo pasado, el turismo residencial surge como uno de los principales fenómenos en los escenarios brasileño e internacional. El crecimiento de esta actividad ha sido un factor importante para la generación de empleo e ingresos en los municipios del litoral sudeste de Brasil y de la costa española mediterránea. Pero recientemente, se observa un crecimiento acelerado de esta modalidad de turismo en la costa del Nordeste de Brasil. Este proceso ha generado beneficios económicos para la región al igual que impactos socioambientales. El primer objetivo de este artículo fue realizar un enfoque exploratorio, identificando el escenario de la oferta y la demanda de la construcción de complejos turísticos residenciales en el Nordeste brasileño por medio del relevamiento de sites y entrevistas a las inmobiliarias, constructoras, incorporadoras, operadoras hoteleras y organismos públicos. Los resultados de la investigación muestran el gran interés del capital internacional en construir mega proyectos de segunda residencia en el nordeste, adaptados a la demanda internacional, principalmente europea. El segundo objetivo fue comparar y analizar la evolución, las etapas y las características del turismo residencial en la costa española mediterránea, como ejemplo de modelo consolidado, con la actividad en el Nordeste brasileño, como modelo en expansión. Se verificó que ambas regiones turísticas fueron afectadas por la crisis económica y por deficiencias estructurales de sus respectivos modelos, las cuales potencian impactos económicos y socioambientales.

Grouping genetic operators for the delineation of functional areas based on spatial interaction

The delineation of functional economic areas, or market areas, is a problem of high practical relevance, since the delineation of functional sets such as economic areas in the US, Travel-to-Work Areas in the United Kingdom, and their counterparts in other OECD countries are the basis of many statistical operations and policy making decisions at local level. This is a combinatorial optimisation problem defined as the partition of a given set of indivisible spatial units (covering a territory) into regions characterised by being (a) self-contained and (b) cohesive, in terms of spatial interaction data (flows, relationships). Usually, each region must reach a minimum size and self-containment level, and must be continuous. Although these optimisation problems have been typically solved through greedy methods, a recent strand of the literature in this field has been concerned with the use of evolutionary algorithms with ad hoc operators. Although these algorithms have proved to be successful in improving the results of some of the more widely applied official procedures, they are so time consuming that cannot be applied directly to solve real-world problems. In this paper we propose a new set of group-based mutation operators, featuring general operations over disjoint groups, tailored to ensure that all the constraints are respected during the operation to improve efficiency. A comparative analysis of our results with those from previous approaches shows that the proposed algorithm systematically improves them in terms of both quality and processing time, something of crucial relevance since it allows dealing with most large, real-world problems in reasonable time.

Lipschitz compact operators

We introduce the notion of Lipschitz compact (weakly compact, finite-rank, approximable) operators from a pointed metric space X into a Banach space E. We prove that every strongly Lipschitz p-nuclear operator is Lipschitz compact and every strongly Lipschitz p-integral operator is Lipschitz weakly compact. A theory of Lipschitz compact (weakly compact, finite-rank) operators which closely parallels the theory for linear operators is developed. In terms of the Lipschitz transpose map of a Lipschitz operator, we state Lipschitz versions of Schauder type theorems on the (weak) compactness of the adjoint of a (weakly) compact linear operator.

Weighted composition operators on the predual and dual Banach spaces of Beurling algebras on Z

Let vv be a weight sequence on ZZ and let ψ,φψ,φ be complex-valued functions on ZZ such that φ(Z)⊂Zφ(Z)⊂Z. In this paper we study the boundedness, compactness and weak compactness of weighted composition operators Cψ,φCψ,φ on predual Banach spaces c0(Z,1/v)c0(Z,1/v) and dual Banach spaces ℓ∞(Z,1/v)ℓ∞(Z,1/v) of Beurling algebras ℓ1(Z,v)ℓ1(Z,v).

No. 13 Statement of Col. purchases since last valuation--amount of Interest on all purchase monies within the last 10 years, & annual rent of all other rented real Estate belonging to College, [1799]

One octavo-sized leaf containing a short handwritten list of accounting figures.

[Receipt issued for interest on stock], 1792 February 2

Printed Commissioner's Office receipt form acknowledging the disbursement of money to Caleb Gannett from Nathaniel Appleton, Commissioner of Loans in the State of Massachusetts, for interest on stock in the funds of the United States. The receipt, No. 484, is signed by Gannett and dated February 2, 1792.

Geometry of Dirac Operators

Thesis (Master, Mathematics & Statistics) -- Queen's University, 2016-07-04 20:27:20.386