This book covers methods of Mathematical Morphology to model and simulate random sets and functions (scalar and multivariate). The introduced models concern many physical situations in heterogeneous media, where a probabilistic approach is required, like fracture statistics of materials, scaling up of permeability in porous media, electron microscopy images (including multispectral images), rough surfaces, multi-component composites, biological tissues, textures for image coding and synthesis. The common feature of these random structures is their domain of definition in n dimensions, requiring more general models than standard Stochastic Processes.The main topics of the book cover an introduction to the theory of random sets, random space tessellations, Boolean random sets and functions, space-time random sets and functions (Dead Leaves, Sequential Alternate models, Reaction-Diffusion), prediction of effective properties of random media, and probabilistic fracture theories.

An analytical history of the Hellenistic, Roman, Byzantine, Umayyad, and Early Abbasidmosaics in the Holy Land from the second century B.C.E to eighth century C.E.

Coevolution—reciprocal evolutionary change in interacting species driven by natural selection—is one of the most important ecological and genetic processes organizing the earth's biodiversity: most plants and animals require coevolved interactions with other species to survive and reproduce. The Geographic Mosaic of Coevolution analyzes how the biology of species provides the raw material for long-term coevolution, evaluates how local coadaptation forms the basic module of coevolutionary change, and explores how the coevolutionary process reshapes locally coevolving interactions across the earth's constantly changing landscapes. Picking up where his influential The Coevolutionary Process left off, John N. Thompsonsynthesizes the state of a rapidly developing science that integrates approaches from evolutionary ecology, population genetics, phylogeography, systematics, evolutionary biochemistry and physiology, and molecular biology. Using models, data, and hypotheses to develop a complete conceptual framework, Thompson also draws on examples from a wide range of taxa and environments, illustrating the expanding breadth and depth of research in coevolutionary biology.

An analysis and synthesis of the ecology of heterogeneous land areas.

The famous Nile Mosaic of Palestrina, ancient Praeneste in central Italy, dating to c. 100 B.C., is one of the earliest large mosaics which have been preserved from the classical world. It presents a unique, comprehensive picture of Egypt and Nubia. The interpretation of the mosaic is disputed, suggestions ranging from an exotic decoration to a topographical picture or a religious allegory. The present study demonstrates that the mosaic depicts rituals connected with Isis and Osiris and the yearly Nile flood. The presence of these Egyptian religious scenes at Praeneste can be explained by the assimilation of isis and Fortuna, the tutelary goddess of Praeneste, and by the interpretation of the mosaic as a symbol of divine providence.

In this book, Liz James offers a comprehensive history of wall mosaics produced in the European and Islamic middle ages. Taking into account a wide range of issues, including style and iconography, technique and material, and function and patronage, she examines mosaics within their historical context. She asks why the mosaic was such a popular medium and considers how mosaics work as historical 'documents' that tell us about attitudes and beliefs in the medieval world. The book is divided into two part. Part I explores the technical aspects of mosaics, including glass production, labour and materials, and costs. In Part II, James provides a chronological history of mosaics, charting the low and high points of mosaic art up until its abrupt end in the late middle ages. Written in a clear and engaging style, her book will serve as an essential resource for scholars and students of medieval mosaics.