Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. Their beauty and complexity can be fascinating. They also hold a deep mathematical content.
Computational hardness of Julia sets is the main subject of this book. By definition, a computable set in the plane can be visualized on a computer screen with an arbitrarily high magnification. There are countless programs to draw Julia sets. Yet, as the authors have discovered, it is possible to constructively produce examples of quadratic polynomials, whose Julia sets are not computable. This result is striking - it says that while a dynamical system can be described numerically with an arbitrary precision, the picture of the dynamics cannot be visualized.
The book summarizes the present knowledge (most of it from the authors' own work) about the computational properties of Julia sets in a self-contained way. It is accessible to experts and students with interest in theoretical computer science or dynamical systems.
Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. Their beauty and complexity can be fascinating. They also hold a deep mathematical content.
Computational hardness of Julia sets is the main subject of this book. By definition, a computable set in the plane can be visualized on a computer screen with an arbitrarily high magnification. There are countless programs to draw Julia sets. Yet, as the authors have discovered, it is possible to constructively produce examples of quadratic polynomials, whose Julia sets are not computable. This result is striking - it says that while a dynamical system can be described numerically with an arbitrary precision, the picture of the dynamics cannot be visualized.
The book summarizes the present knowledge (most of it from the authors' own work) about the computational properties of Julia sets in a self-contained way. It is accessible to experts and students with interest in theoretical computer science or dynamical systems.
Learn guidelines for diagnosis, treatment, prevention, and intervention!
As violence and abusiveness become increasingly prevalent in our schools and workplaces, our sense of safety suffers a heavy toll. Aggression in Organizations: Violence, Abuse, and Harassment at Work and in Schools presents a wide range of research, perspectives, and approaches to violence and abuse at work and in school. Respected authorities discuss practical strategies that foster a sense of safety, dignity, growth, creativity, and social support in every organization. Topics include:Aggression in Organizations discusses in depth the effects of physical violence, sexual and emotional abuse, and bullying in various situations and institutions. Case studies illustrate examples that bring the latest empirical and applied research into clear focus. Insights are revealed into what can be done to prevent a future filled with violence as well as guidelines for treating people affected by aggressive acts. Each chapter is well-referenced and many include helpful diagrams and tables to enhance clarity.
Aggression in Organizations presents and explains:Aggression in Organizations is essential reading for psychologists, educators, organizational consultants, human resource professionals, school counselors, and social workers.
Learn guidelines for diagnosis, treatment, prevention, and intervention!
As violence and abusiveness become increasingly prevalent in our schools and workplaces, our sense of safety suffers a heavy toll. Aggression in Organizations: Violence, Abuse, and Harassment at Work and in Schools presents a wide range of research, perspectives, and approaches to violence and abuse at work and in school. Respected authorities discuss practical strategies that foster a sense of safety, dignity, growth, creativity, and social support in every organization. Topics include:Aggression in Organizations discusses in depth the effects of physical violence, sexual and emotional abuse, and bullying in various situations and institutions. Case studies illustrate examples that bring the latest empirical and applied research into clear focus. Insights are revealed into what can be done to prevent a future filled with violence as well as guidelines for treating people affected by aggressive acts. Each chapter is well-referenced and many include helpful diagrams and tables to enhance clarity.
Aggression in Organizations presents and explains:Aggression in Organizations is essential reading for psychologists, educators, organizational consultants, human resource professionals, school counselors, and social workers.
provides a detailed look at what happened to some companies and traditional tools
for occupational health and safety, discipline, and employee relations now used by business and labour leaders are inadequate and inappropriate in responding to the problems of workplace violence. In fact, the methods and approaches commonly in use actually worsen the problem in some cases.
The book summarizes the most up-to-date learning in this area and offers practical guidance and recommendations for assessing the risk of violence, steps for preventing workplace violence, and a through discussion of employees rights and employer′s responsib