The classical and Brownian methods of characteristics are generalized to analyze evolution equations of arbitrary order. Calculi of higher orders, analogous to first order classical calculus and second order Ito calculus, are constructed. Solutions of differential equations in the calculi become characteristic propagators of higher order partial differential equations. The solutions of these partial differential equations are then represented as averages of random samples of initial data based on these characteristic flows, in a general sense.
Filled with contemporary and classic case studies, this fascinating overview of both serial and mass murder illustrates the many violent expressions of power, revenge, terror, greed, and loyalty. Throughout the book, renowned experts James Alan Fox and Jack Levin examine the theories of criminal behavior and apply them to a multitude of mass and serial murderers from around the world, such as Adam Lanza (Newtown, CT), James Holmes (Aurora, CO cinema), Anders Breivik (Oslo, Norway), Charles Manson (“Helter Skelter”), and Dennis Rader (BTK). This fully updated Third Edition of Extreme Killing helps readers understand the commonalities and variations among multiple murders, addresses the characteristics of both killers and their victims, and, in the concluding chapter, discusses the special concerns of multiple murder victims and their survivors.
This biography provides an understanding of William Bateson as well as a reconciliation of diverging views (e.g. the hierarchical thinking of Gould and the genocentrism of George Williams and Richard Dawkins). Evolutionists may thus, at long last, present a unified front to their creationist opponents. The pressing need for this text is apparent from the high percentages reported not to believe in evolution and the growth of the so-called "intelligent design" movement.
This book examines the variety of potential laser diagnostic techniques and presents a considerable theoretical foundation elucidating physics relevant to the laser diagnostics. It explains the Raman-based approaches for major species and temperature measurements.
This biography provides an understanding of William Bateson as well as a reconciliation of diverging views (e.g. the hierarchical thinking of Gould and the genocentrism of George Williams and Richard Dawkins). Evolutionists may thus, at long last, present a unified front to their creationist opponents. The pressing need for this text is apparent from the high percentages reported not to believe in evolution and the growth of the so-called "intelligent design" movement.
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