Analysis of steady-state heat transfer through mid-crustal vertical cracks with upward throughflow in hydrothermal systems

We conduct a theoretical analysis of steady-state heat transfer problems through mid-crustal vertical cracks with upward throughflow in hydrothermal systems. In particular, we derive analytical solutions for both the far field and near field of the system. In order to investigate the contribution of the forced advection to the total temperature of the system, two concepts, namely the critical Peclet number and the critical permeability of the system, have been presented and discussed in this paper. The analytical solution for the far field of the system indicates that if the pore-fluid pressure gradient in the crust is lithostatic, the critical permeability of the system can be used to determine whether or not the contribution of the forced advection to the total temperature of the system is negligible. Otherwise, the critical Peclet number should be used. For a crust of moderate thickness, the critical permeability is of the order of magnitude of 10(-20) m(2), under which heat conduction is the overwhelming mechanism to transfer heat energy, even though the pore-fluid pressure gradient in the crust is lithostatic. Furthermore, the lower bound analytical solution for the near field of the system demonstrates that the permeable vertical cracks in the middle crust can efficiently transfer heat energy from the lower crust to the upper crust of the Earth. Copyright (C) 2002 John Wiley Sons, Ltd.

Visualization of learning in multilayer perceptron networks using principal component analysis

This paper is concerned with the use of scientific visualization methods for the analysis of feedforward neural networks (NNs). Inevitably, the kinds of data associated with the design and implementation of neural networks are of very high dimensionality, presenting a major challenge for visualization. A method is described using the well-known statistical technique of principal component analysis (PCA). This is found to be an effective and useful method of visualizing the learning trajectories of many learning algorithms such as back-propagation and can also be used to provide insight into the learning process and the nature of the error surface.

John Waldridge, The Leaven of the Ancients: Suhrawardi and the Heritage of the Greeks, SUNY Series in Islam (Albany: State University of New York Press, 1999). Pp. 323

In the Leaven of the Ancients, John Walbridge studies the appropriation of non–Peripatetic philosophical ideas by an anti–Aristotelian Islamic philosopher, Shihab al-Din al-Suhrawardi (d. 1191). He proposes a comprehensive explanation of the origin of Suhrawardi's philosophical system, a revival of the “wisdom of the Ancients” and its philosophical affiliations “grounded” in Greek philosophy (p. xiii). Walbridge attempts to uncover the reasons for Suhrawardi's rejection of the prevailing neo–Aristotelian synthesis in Islamic philosophy, Suhrawardi's knowledge and understanding of non–Aristotelian Greek philosophy, the ancient philosophers Suhrawardi was attempting to follow, the relationship between Suhrawardi's specific philosophical teachings (logic, ontology, physics, and metaphysics), and his understanding of non–Aristotelian ancient philosophy and the relationship between Suhrawardi's system and the major Greek philosophers, schools, and traditions—in particular the Presocratics, Plato, and the Stoics (p. 8). Copyright © 2003 Cambridge University Press