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In the mathematical treatment of many problems which arise in physics, economics, engineering, management, etc., the researcher frequently faces two major difficulties: infinite dimensionality and randomness of the evolution process. Infinite dimensionality occurs when the evolution in time of a process is accompanied by a space-like dependence; for example, spatial distribution of the temperature for a heat-conductor, spatial dependence of the time-varying displacement of a membrane subject to external forces, etc. Randomness is intrinsic to the mathematical formulation of many phenomena, such as fluctuation in the stock market, or noise in communication networks. Control theory of distributed parameter systems and stochastic systems focuses on physical phenomena which are governed by partial differential equations, delay-differential equations, integral differential equations, etc., and stochastic differential equations of various types. This has been a fertile field of research with over 40 years of history, which continues to be very active under the thrust of new emerging applications. Among the subjects covered are: Control of distributed parameter systems; Stochastic control; Applications in finance/insurance/manufacturing; Adapted control; Numerical approximation . It is essential reading for applied mathematicians, control theorists, economic/financial analysts and engineers.
This book presents "Action Over Inertia," a recovery-orientated, strengths-based approach to address the profound disruptions in daily activities and community participation often experienced by those living with serious mental illnesses. With a focus on supported "doing", the Action Over Inertia approach engages individuals in small activity and participation efforts as an opening to making longer term and sustained changes that offer meaning and well-being. The book helps service providers develop their own knowledge of activities and the health and well-being benefits an individual might receive from activities. It also asks them to consider the biases, assumptions, and constraints that might impact their ability to implement interventions related to activity and participation. A range of worksheets, resources, vignettes, and other tools are provided to support this practice. The manual was developed from the knowledge and practice of occupational science and therapy, but it will be of interest to any mental health professional, peer-provider, administrator, or policy maker interested in promoting recovery for people with serious mental illness
This book presents "Action Over Inertia," a recovery-orientated, strengths-based approach to address the profound disruptions in daily activities and community participation often experienced by those living with serious mental illnesses. With a focus on supported "doing", the Action Over Inertia approach engages individuals in small activity and participation efforts as an opening to making longer term and sustained changes that offer meaning and well-being. The book helps service providers develop their own knowledge of activities and the health and well-being benefits an individual might receive from activities. It also asks them to consider the biases, assumptions, and constraints that might impact their ability to implement interventions related to activity and participation. A range of worksheets, resources, vignettes, and other tools are provided to support this practice. The manual was developed from the knowledge and practice of occupational science and therapy, but it will be of interest to any mental health professional, peer-provider, administrator, or policy maker interested in promoting recovery for people with serious mental illness
In the mathematical treatment of many problems which arise in physics, economics, engineering, management, etc., the researcher frequently faces two major difficulties: infinite dimensionality and randomness of the evolution process. Infinite dimensionality occurs when the evolution in time of a process is accompanied by a space-like dependence; for example, spatial distribution of the temperature for a heat-conductor, spatial dependence of the time-varying displacement of a membrane subject to external forces, etc. Randomness is intrinsic to the mathematical formulation of many phenomena, such as fluctuation in the stock market, or noise in communication networks. Control theory of distributed parameter systems and stochastic systems focuses on physical phenomena which are governed by partial differential equations, delay-differential equations, integral differential equations, etc., and stochastic differential equations of various types. This has been a fertile field of research with over 40 years of history, which continues to be very active under the thrust of new emerging applications.Among the subjects covered are: * Control of distributed parameter systems; * Stochastic control; * Applications in finance/insurance/manufacturing; * Adapted control; * Numerical approximation . It is essential reading for applied mathematicians, control theorists, economic/financial analysts and engineers.
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