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Die Prosopographia Imperii Romani (PIR) ist ein Personenlexikon und enthält Lebensdaten und -beschreibungen römischer Amtsträger. Ziel ist es, die gesamte Führungsschicht des Römischen Reiches in der Frühen und Hohen Kaiserzeit zu erfassen. Der bearbeitete Zeitraum beginnt mit der Schlacht von Aktium 31 v. Chr., seit der die monarchische Herrschaftsstruktur für Rom endgültig geworden war, und endet mit der Herrschaft Diokletians (284-305). Bisher sind fast 15.000 Personen dokumentiert. Die PIR erscheint vollständig in lateinischer Sprache.

Fundamental Concepts of Algebra

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Linear Algebra is intended to be used as a text for a one-semester course in linear algebra at the undergraduate level. The treatment of the subject will be both useful to students of mathematics and those interested primarily in applications of the theory. The major prerequisite for mastering the material is the readiness of the student to reason abstractly. Specifically, this calls for an understanding of the fact that axioms are assumptions and that theorems are logical consequences of one or more axioms. Familiarity with calculus and linear differential equations is required for understanding some of the examples and exercises. This book sets itself apart from other similar textbooks through its dedication to the principle that, whenever possible, definitions and theorems should be stated in a form which is independent of the notion of the dimension of a vector space. A second feature of this book which is worthy of mention is the early introduction of inner product spaces and the associated metric concepts. Students soon feel at ease with this class of spaces because they share so many properties with physical space when equipped with a rectangular coordinate system. Finally, the book includes a chapter concerned with several applications to other fields of the theory that have been developed.

Graphical Enumeration deals with the enumeration of various kinds of graphs. Topics covered range from labeled enumeration and George Pólya's theorem to rooted and unrooted trees, graphs and digraphs, and power group enumeration. Superposition, blocks, and asymptotics are also discussed. A number of unsolved enumeration problems are presented. Comprised of 10 chapters, this book begins with an overview of labeled graphs, followed by a description of the basic enumeration theorem of Pólya. The next three chapters count an enormous variety of trees, graphs, and digraphs. The Power Group Enumeration Theorem is then described together with some of its applications, including the enumeration of self-complementary graphs and digraphs and finite automata. Two other chapters focus on the counting of superposition and blocks, while another chapter is devoted to asymptotic numbers that are developed for several different graphical structures. The book concludes with a comprehensive definitive list of unsolved graphical enumeration problems. This monograph will be of interest to both students and practitioners of mathematics.

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This volume presents an overview of recent development, operation, and diverse applications of nano materials as chemical sensors, biosensors, and wireless sensing networks for myriads of legends driven by the ability to create significantly smaller, more sensitive, faster-responding, and less costly sensors which either negate or complement the use of cumbersome and less feasible conventional sensing system. Research and development in the nano sensor domain is driven by specific application requirements and social concerns. Nano sensors validates its eminence in varied field starting from electronics and security, aerospace and defense, healthcare, chemical materials and food technologies. This volume is a meticulous amalgamation of positive and negative aspects of nano materials to be used, electro and chemical nano biosensors, pollutant and environmental sensors. This volume discusses applications of semiconductor nano materials, a tamer nanostructures, signaling molecular switches, nano particle based optical determination of xenobiotics and pathogens as clinical diagnostic equipment, DNA sequencing and DNA based biocatalysts technology, Chemical and gas detection systems, nuclear radiation and humidity sensing system and biosynthesis of efficient, effective and low-cost nano materials. This volume will surely be a very helpful and effective guide for the upcoming researchers and students of biology, engineering and medicine to not only gain precise and prudent insight about nano sensing but also help to iron out several technological difficulties and issues regarding production and technology development of nano sensors.

Advances in Biological and Medical Physics, Volume 9, provides an overview of the state of knowledge in biological and medical physics. The book contains seven chapters and opens with a discussion of the biological synthesis of proteins and some of the recent experimental work concerned with these steps. This is followed by separate chapters on advances in the definition and classification of human chromosomal aberrations; tissue transplantation; the use of the microbeam in radiobiology; electron paramagnetic resonance studies; the polarimetric study of protein structures; and the analysis of biological similarity.