Behnam Sadeghi – författare

Fractals and Multifractals in the Geosciences details the application of a wide range of multifractal methods, including many novel ones developed by the author, along with the assessment of uncertainty in sample classification and stability of spatial patterns. This book also provides criteria for selection of the most effective combination of data pre-processing and multifractal modeling to extract desired features or signals in the data. The book specifically aims to introduce, apply, and test novel multifractal models that account directly for changes in relationships between variables, as well as the effects of distance between samples and the source of anomalous metal contents in geoscience samples. Linked to this will be assessment of the effects of different pre-processing of data prior to application of the models and quantification/model uncertainty in geochemical anomaly maps, associated with sample classification and spatial interpolation. Gaussian simulations such as Sequential Gaussian Simulation and Monte Carlo Simulation will be applied to the new multifractal models developed and a suite of existing models, including (simulated) concentration-area, spectrum-area, singularity and other models.Fractals and Multifractals in the Geosciences will be invaluable for mathematical geoscientists, geostatisticians, exploration, applied, urban and environmental geochemists, computational geoscientists, data scientists, and GIS professionals who need to better understand fractal geometry, along with its theory and applications in geochemical anomaly classification to generate maps that are helpful for decision-making for follow-up sampling and explorations.

Provides a comprehensive overview of the use of fractal and multifractal modeling methods, with a detailed assessment of uncertainty quantification in samples and classified modelsSpecifically includes novel multifractal models, as well as uncertainty quantification and decision-making methods for use in geosciences and especially geochemistryIncludes case studies showing the application of the fractal and multifractal methods detailed in the book

This pioneering study examines the process of reasoning in Islamic law. Some of the key questions addressed here include whether sacred law operates differently from secular law, why laws change or stay the same and how different cultural and historical settings impact the development of legal rulings. In order to explore these questions, the author examines the decisions of thirty jurists from the largest legal tradition in Islam: the Hanafi school of law. He traces their rulings on the question of women and communal prayer across a very broad period of time - from the eighth to the eighteenth century - to demonstrate how jurists interpreted the law and reconciled their decisions with the scripture and the sayings of the Prophet. The result is a fascinating overview of how Islamic law has evolved and the thinking behind individual rulings.