In this volume very simplified models are introduced to understand the random sequential packing models mathematically. The 1-dimensional model is sometimes called the Parking Problem, which is known by the pioneering works by Flory (1939), Renyi (1958), Dvoretzky and Robbins (1962). To obtain a 1-dimensional packing density, distribution of the minimum of gaps, etc., the classical analysis has to be studied. The packing density of the general multi-dimensional random sequential packing of cubes (hypercubes) makes a well-known unsolved problem. The experimental analysis is usually applied to the problem. This book introduces simplified multi-dimensional models of cubes and torus, which keep the character of the original general model, and introduces a combinatorial analysis for combinatorial modelings.
This book provides comprehensive scientific information and knowledge survival tips on how to survive a tsunami. It is especially useful to those living (or about to live) in tsunami-prone areas, and to travelers who may visit such areas. The book is composed of two parts: the first consisting of three chapters on how to survive a tsunami by (i) describing precious lessons obtained from actual tsunami disasters, (ii) imparting fundamental knowledge of tsunami science for survival, and (iii) listing measures for tsunami disaster mitigation. The second part provides more detailed scientific knowledge on tsunamis and consists two chapters: one describes tsunami occurrence mechanism and near-shore behavior; the other mentions numerical simulation and tsunami forecasting. This book has been awarded the 2009 Book of the Year Award by the Japan Society of Civil Engineers.
This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of q-deformed algebras and noncommutative differential geometry. A particular challenge is posed by gravity, which probably necessitates extension of these methods to geometries with minimum length and therefore quantization of space. This volume builds on the lectures and talks that have been given at a recent meeting on "Quantum Field Theory and Noncommutative Geometry." A considerable effort has been invested in making the contributions accessible to a wider community of readers - so this volume will not only benefit researchers in the field but also postgraduate students and scientists from related areas wishing to become better acquainted with this field.
This book presents a comprehensive review of particle image velocimetry (PIV) and particle tracking velocimetry (PTV) as tools for experimental fluid dynamics (EFD). It shares practical techniques for high-speed photography to accurately analyze multi-phase flows; in particular, it addresses the practical know-how involved in high-speed photography, including e.g. the proper setup for lights and illumination; optical systems to remove perspective distortion; and the density of tracer particles and their fluorescence in the context of PIV and PTV. In this regard, using the correct photographic technique plays a key role in the accurate analysis of the respective flow. Practical applications include bubble and liquid flow dynamics in materials processes agitated by gas injection at high temperatures, mixing phenomena due to jet-induced rotary sloshing, and wettability effects on the efficiency of the processes.
This book describes the principles and applications of the spherical crystallization technique, from the standpoint of its inventor. After an introduction on the history of particle design engineering and nanotechnology, the concept of spherical crystallization itself is clearly explained. Attention then turns to the application of spherical crystallization in pharmaceutical processes. It is explained how the technique can provide physicochemical properties suitable for direct tableting of active pharmaceutical ingredients and how it has enabled the development of a novel particulate design platform from single to complex system. Subsequent chapters describe the roles of polymeric spherical crystallization in the preparation of novel microspheres, microballoons for drug delivery systems (DDS) and the development of biocompatible and biodegradable poly(D,L-lactide-co-glycolide) (PLGA) nanospheres. The various applications of PLGA nanospheres composite within oral-, pulmonary-, transdermal DDS and cosmetics are fully discussed. Finally, future perspectives are presented on use of the technology in the design and industrial-scale manufacture of new drug delivery systems, highlighting how a continuous pharmaceutical process that meets US Food and Drug Administration quality requirements should soon be introduced.
In this volume very simplified models are introduced to understand the random sequential packing models mathematically. The 1-dimensional model is sometimes called the Parking Problem, which is known by the pioneering works by Flory (1939), Renyi (1958), Dvoretzky and Robbins (1962). To obtain a 1-dimensional packing density, distribution of the minimum of gaps, etc., the classical analysis has to be studied. The packing density of the general multi-dimensional random sequential packing of cubes (hypercubes) makes a well-known unsolved problem. The experimental analysis is usually applied to the problem. This book introduces simplified multi-dimensional models of cubes and torus, which keep the character of the original general model, and introduces a combinatorial analysis for combinatorial modelings.
In this volume very simplified models are introduced to understand the random sequential packing models mathematically. The 1-dimensional model is sometimes called the Parking Problem, which is known by the pioneering works by Flory (1939), Renyi (1958), Dvoretzky and Robbins (1962). To obtain a 1-dimensional packing density, distribution of the minimum of gaps, etc., the classical analysis has to be studied. The packing density of the general multi-dimensional random sequential packing of cubes (hypercubes) makes a well-known unsolved problem. The experimental analysis is usually applied to the problem. This book introduces simplified multi-dimensional models of cubes and torus, which keep the character of the original general model, and introduces a combinatorial analysis for combinatorial modelings./a
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