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GDP growth project
Study examines the economic structure and dynamics of the East Midlands and Yorkshire and Humber regions of the UK, using the logic of firm and labour agglomerations and their contribution to GDP as the basis for the analysis
Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg-de Vries Equation
In this paper, we study the orbital stability for a four-parameter family of
periodic stationary traveling wave solutions to the generalized Korteweg-de
Vries equation. In particular, we derive sufficient conditions for such a
solution to be orbitally stable in terms of the Hessian of the classical action
of the corresponding traveling wave ordinary differential equation restricted
to the manifold of periodic traveling wave solution. We show this condition is
equivalent to the solution being spectrally stable with respect to
perturbations of the same period in the case of the Korteweg-de Vries equation,
and in neighborhoods of the homoclinic and equilibrium solutions in the case of
a power-law nonlinearity.Comment: 24 page
Even Kakutani Equivalence And The Loose Block Independence Property For Positive Entropy Zᵈ Actions
In this paper we define the loose block independence property for positive entropy Zᵈ actions and extend some of the classical results to higher dimensions. In particular, we prove that two loose block independent actions are even Kakutani equivalent if and only if they have the same entropy. We also prove that for d \u3e 1 the ergodic, isometric extensions of the positive entropy loose block independent Zᵈ actions are also loose block independent
Laser velocimeter measurements of high-speed compressible flows
Laser velocimeter results were compared and found to be consistent with those obtained with conventional measurement techniques and existing compressible boundary layer theory. Turbulence information at supersonic speed has been successfully obtained in compressible boundary layer with laser system
Hacking Digital Video Recorders: Potential Copyright Liability for DVR Hackers and Service Providers
To what extent does Sony\u27s time-shifting fair use argument extend to recent innovations that make it easier for hackers use DVR technology to generate copies of protected material? The author assesses the potential liability of DVR manufacturers against the backdrop of traditional fair use doctrines
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