University of Bath

About: University of Bath is a education organization based out in Bath, Bath and North East Somerset, United Kingdom. It is known for research contribution in the topics: Population & Context (language use). The organization has 15830 authors who have published 39608 publications receiving 1358769 citations. The organization is also known as: Bath University.

Self-disclosure, Privacy and the Internet

Abstract: This article examines the extant research literature on self-disclosure and the Internet, in particular by focusing on disclosure in computer-mediated communication and web-based forms - both in surveys and in e-commerce applications. It also considers the links between privacy and self-disclosure, and the unique challenges (and opportunities) that the Internet poses for the protection of privacy. Finally, the article proposes three critical issues that unite the ways in which we can best understand the links between privacy, self-disclosure, and new technology: trust and vulnerability, costs and benefits, and control over personal information. Central to the discussion is the notion that self-disclosure is not simply the outcome of a communication encounter: rather, it is both a product and process of interaction, as well as a way of regulating interaction dynamically. By adopting a privacy approach to understanding disclosure online, it becomes possible to consider not only media effects that encourage disclosure, but also the wider context and implications of such communicative behaviours.

Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics

Abstract: INTRODUCTION: NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS AND EXACT SOLUTIONS Exact Solutions: History, Classical Symmetry Methods, Extensions Examples: Classic Fundamental Solutions belong to Invariant Subspaces Models, Targets, and Prerequisites LINEAR INVARIANT SUBSPACES IN QUASILINEAR EQUATIONS: BASIC EXAMPLES AND MODELS History: First Eexamples of Solutions on Invariant Subspaces Basic Ideas: Invariant Subspaces and Generalized Separation of Variables More Examples: Polynomial Subspaces Examples: Trigonometric Subspaces Examples: Exponential Subspaces Remarks and Comments on the Literature INVARIANT SUBSPACES AND MODULES: MATHEMATICS IN ONE DIMENSION Main Theorem on Invariant Subspaces The Optimal Estimate on Dimension of Invariant Subspaces First-Order Operators with Subspaces of Maximal Dimension Second-Order Operators with Subspaces of Maximal Dimension First- and Second-Order Quadratic Operators with Subspaces of Lower Dimensions Operators Preserving Polynomial Subspaces Extensions to ?/?t-Dependent Operators Summary: Basic Types of Equations and Solutions Remarks and Comments on the Literature Open Problems PARABOLIC EQUATIONS IN ONE DIMENSION: THIN FILM, KURAMOTO-SIVASHINSKY, AND MAGMA MODELS Thin Film Models and Polynomial Subspaces Applications to Extinction, Blow-Up, Free-Boundary Problems, and Interface Equations Exact Solutions with Zero Contact Angle Extinction Behavior for Sixth-Order Thin Film Equations Quadratic Models: Trigonometric and Exponential Subspaces 2mth-Order Thin Film Operators and Equations Oscillatory, Changing Sign Behavior in the Cauchy Problem Invariant Subspaces in Kuramoto-Sivashinsky-Type Models Quasilinear Pseudo-Parabolic Models: The Magma Equation Remarks and Comments on the Literature Open Problems ODD-ORDER ONE-DIMENSIONAL EQUATIONS: KORTEWEG-DE VRIES, COMPACTON, NONLINEAR DISPERSION, AND HARRY DYM MODELS Blow-Up and Localization for KdV-Type Equations Compactons and Shocks Waves in Higher-Order Quadratic Nonlinear Dispersion Models Higher-Order PDEs: Interface Equations and Oscillatory Solutions Compactons and Interfaces for Singular mKdV-Type Equations On Compactons in IRN for Nonlinear Dispersion Equations "Tautological" Equations and Peakons Subspaces, Singularities, and Oscillatory Solutions for Harry Dym-Type Equations Remarks and Comments on the Literature Open Problems QUASILINEAR WAVE AND BOUSSINESQ MODELS IN ONE DIMENSION: SYSTEMS OF NONLINEAR EQUATIONS Blow-Up in Nonlinear Wave Equations on Invariant Subspaces Breathers in Quasilinear Wave Equations and Blow-Up Models Quenching and Interface Phenomena, Compactons Invariant Subspaces in Systems of Nonlinear Evolution Equations Remarks and Comments on the Literature Open Problems APPLICATIONS TO NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS IN IRN Second-Order Operators and Some Higher-Order Extensions Extended Invariant Subspaces for Second-Order Operators On the Remarkable Operator in IR2 On Second-Order p-Laplacian Operators Invariant Subspaces for Operators of Monge-Ampere Type Higher-Order Thin Film Operators Moving Compact Structures in Nonlinear Dispersion Equations From Invariant Polynomial Subspaces in IR N to Invariant Trigonometric Subspaces in IR N -1 Remarks and Comments on the Literature Open Problems PARTIALLY INVARIANT SUBSPACES, INVARIANT SETS, AND GENERALIZED SEPARATION OF VARIABLES Partial Invariance for Polynomial Operators Quadratic Kuramoto-Sivashinsky Equations Method of Generalized Separation of Variables Generalized Separation and Partially Invariant Modules Evolutionary Invariant Sets for Higher-Order Equations A Separation Technique for the Porous Medium Equation in IRN Remarks and Comments on the Literature Open Problems SIGN-INVARIANTS FOR SECOND-ORDER PARABOLIC EQUATIONS AND EXACT SOLUTIONS Quasilinear Models, Definitions, and First Examples Sign-Invariants of the Form ut - ?(u) Stationary Sign-Invariants of the Form H (r, u, ur) Sign-Invariants of the Form ut - m(u)(ux)2 - M(u) General First-Order Hamilton-Jacobi Sign-Invariants Remarks and Comments on the Literature INVARIANT SUBSPACES FOR DISCRETE OPERATORS, MOVING MESH METHODS, AND LATTICES Backward Problem of Invariant Subspaces for Discrete Operators On the Forward Problem of Invariant Subspaces Invariant Subspaces for Finite-Difference Operators Invariant Properties of Moving Mesh Operators and Applications Applications to Anharmonic Lattices Remarks and Comments on the Literature Open Problems REFERENCES LIST OF FREQUENTLY USED ABBREVIATIONS INDEX

Beyond C2 and C3: Transition-Metal-Catalyzed C–H Functionalization of Indole

Abstract: The indole scaffold will continue to play a vital part in the future of drug discovery and agrochemical development. Because of this, the necessity for elegant techniques to enable selective C–H functionalization is vast. Early developments have led to primarily C2 and C3 functionalization because of the inherent reactivity of the pyrrole ring. Despite this, elegant methods have been developed to enable selective C–H functionalization on the benzenoid moiety at C4, C5, C6, and C7. This review focuses on the contributions made in benzenoid C–H functionalization of indoles and other related heteroaromatics such as carbazoles.

Education, Globalization and Economic Development

Abstract: Since this paper was conceived the Modernising Blair government has come into power in the United Kingdom and Gerhard Schroder has been elected to lead an SPD coalition in Germany. Initially it appeared that both were singing from the same hymn sheet extolling the virtues of a Third Way, as implied by their recent joint publication. However, what the Third Way means in practice has always been difficult to define. Tony Blair extols the virtue of shareholder capitalism, Schroder appears to remain wedded to a politics of social partnership. In relation to education and training the distinction between the two remains crucial if we see the Dual System as integral to a political economy based on ‘stakeholder’ values and practices. The fact is that, although the Dual System is confronted with a set of important challenges, training levels are still far superior in Germany to those of the UK. Moreover, from our research in Germany, it seems that the multinational German corporations also appear committed to the Dual System. In our view if nations are to thrive in the twenty-first century it will be through the skills and understandings of the population, what we call ‘collective intelligence’ in a book to be published soon (Brown/Lauder 2000). But the Third Way as defined by New Labour in Britain precludes such a possibility. The tolerance of extremes of wealth and poverty, flexible labour markets which ensure that profits can be made out of cheap unskilled labour, and the reduction in elfare provision which has led to the democratisation of insecurity and fear throughout much of society, cannot be the way forward.