Consisting of two parts, the first part of this volume is an essentially self-contained exposition of the geometric aspects of local and global regularity theory for the Monge–Ampère and linearized Monge–Ampère equations. As an application, we solve the second boundary value problem of the prescribed affine mean curvature equation, which can be viewed as a coupling of the latter two equations. Of interest in its own right, the linearized Monge–Ampère equation also has deep connections and applications in analysis, fluid mechanics and geometry, including the semi-geostrophic equations in atmospheric flows, the affine maximal surface equation in affine geometry and the problem of finding Kahler metrics of constant scalar curvature in complex geometry. Among other topics, the second part provides a thorough exposition of the large time behavior and discounted approximation of Hamilton–Jacobi equations, which have received much attention in the last two decades, and a new approach to the subject, the nonlinear adjoint method, is introduced. The appendix offers a short introduction to the theory of viscosity solutions of first-order Hamilton–Jacobi equations.
Southeast Asia ranks among the most significant regions in the world for tracing the prehistory of human endeavor over a period in excess of two million years. It lies in the direct path of successive migrations from the African homeland that saw settlement by hominin populations such as Homo erectus and Homo floresiensis. The first Anatomically Modern Humans, following a coastal route, reached the region at least 60,000 years ago to establish a hunter gatherer tradition that survives to this day in remote forests. From about 2000 BC, human settlement of Southeast Asia was deeply affected by successive innovations that took place to the north and west, such as rice and millet farming. A millennium later, knowledge of bronze casting penetrated along the same pathways. Copper mines were identified and exploited, and metals were exchanged over hundreds of kilometers. In the Mekong Delta and elsewhere, these developments led to early states of the region, which benefitted from an agricultural revolution involving permanent ploughed rice fields. These developments illuminate how the great early kingdoms of Angkor, Champa, and Funan came to be, a vital stage in understanding the roots of the present nation states of Southeast Asia. Assembling the most current research across a variety of disciplines--from anthropology and archaeology to history, art history, and linguistics--The Oxford Handbook of Early Southeast Asia will present an invaluable resource to experienced researchers and those approaching the topic for the first time.
TRB's National Cooperative Highway Research Program (NCHRP) Report 805: Improved Test Methods for Specific Gravity and Absorption of Coarse and Fine Aggregate develops test methods for determining the specific gravity and absorption of coarse and fine aggregates. This test is designed to improve the accuracy, precision, ease of use, and time required for conditioning and testing as compared to the current American Association of State Highway and Transportation Officials (AASHTO) T 84 and T 85 methods." -- Publisher's description.
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