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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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