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This book, Algebraic Computability and Enumeration Models:
Recursion Theory and Descriptive Complexity, presents new
techniques with functorial models to address important areas on
pure mathematics and computability theory from the algebraic
viewpoint. The reader is first introduced to categories and
functorial models, with Kleene algebra examples for languages.
Functorial models for Peano arithmetic are described toward
important computational complexity areas on a Hilbert program,
leading to computability with initial models. Infinite language
categories are also introduced to explain descriptive complexity
with recursive computability with admissible sets and urelements.
Algebraic and categorical realizability is staged on several
levels, addressing new computability questions with omitting types
realizably. Further applications to computing with ultrafilters on
sets and Turing degree computability are examined. Functorial
models computability is presented with algebraic trees realizing
intuitionistic types of models. New homotopy techniques are applied
to Marin Lof types of computations with model categories.
Functorial computability, induction, and recursion are examined in
view of the above, presenting new computability techniques with
monad transformations and projective sets. This informative volume
will give readers a complete new feel for models, computability,
recursion sets, complexity, and realizability. This book pulls
together functorial thoughts, models, computability, sets,
recursion, arithmetic hierarchy, filters, with real tree computing
areas, presented in a very intuitive manner for university
teaching, with exercises for every chapter. The book will also
prove valuable for faculty in computer science and mathematics.
This book is an introduction to a functorial model theory based on
infinitary language categories. The author introduces the
properties and foundation of these categories before developing a
model theory for functors starting with a countable fragment of an
infinitary language. He also presents a new technique for
generating generic models with categories by inventing infinite
language categories and functorial model theory. In addition, the
book covers string models, limit models, and functorial models.
This volume brings together research and system designs that
address the scientific basis and the practical systems design
issues that support areas ranging from intelligent business
interfaces and predictive analytics to economics modeling.
Applications for management science and IT have been of interest
areas for business schools and computing experts during recent
years. Among the areas that are being treated are modern analytics,
heterogeneous computing, business intelligence, ERP (enterprise
resource planning), and decision science. Consumers have been
pledging their love for data visualizations for a while now, and
data is the area being explored, such as B2B and EC (E-commerce),
E-business and the Intelligent Web, CRM (customer relationship
management), infrastructures, and more. The digitization
implications of these many new applications are described and
explored in this informative volume. One of BookAuthority's Best
New Analytics Books to Read in 2020!
Looks at the newest frontiers on very popular AI and analytics
topics Discusses new techniques for visual analytics and data
filtering Shows how AI and cognitive science merges with quantum
neurocognitive computing Presents ontology models with ontology
preservation data filtering techniques Provides a
cross-transposition on AI and digitizations for business model
innovations
Ecosystems and Technology: Idea Generation and Content Model
Processing, presents important new innovations in the area of
management and computing. Innovation is the generation and
application of new ideas and skills to produce new products,
processes, and services that improve economic and social
prosperity. This includes management and design policy decisions
and encompasses innovation research, analysis, and best practice in
enterprises, public and private sector service organizations,
government, regional societies and economies. The book, the first
volume in the Innovation Management and Computing book series,
looks at technology that improves efficiency and idea generation,
including systems for business, medical/health, education, and
more. The book provides detailed examples to provide readers with
current issues, including Venture planning for innovations New
technologies supporting innovations systems Competitive business
modeling Context-driven innovation modeling The generation of ideas
faster The measurement of relevant data Virtual interfaces Business
intelligence and content processing Predictive modeling Haptic
expression and emotion recognition innovations, with applications
to neurocognitive medical science This book provides a wealth of
information that will be useful for IT and business professionals,
educators, and students in many fields.
This book is an introduction to a functorial model theory based on
infinitary language categories. The author introduces the
properties and foundation of these categories before developing a
model theory for functors starting with a countable fragment of an
infinitary language. He also presents a new technique for
generating generic models with categories by inventing infinite
language categories and functorial model theory. In addition, the
book covers string models, limit models, and functorial models.
This volume brings together research and system designs that
address the scientific basis and the practical systems design
issues that support areas ranging from intelligent business
interfaces and predictive analytics to economics modeling.
Applications for management science and IT have been of interest
areas for business schools and computing experts during recent
years. Among the areas that are being treated are modern analytics,
heterogeneous computing, business intelligence, ERP (enterprise
resource planning), and decision science. Consumers have been
pledging their love for data visualizations for a while now, and
data is the area being explored, such as B2B and EC (E-commerce),
E-business and the Intelligent Web, CRM (customer relationship
management), infrastructures, and more. The digitization
implications of these many new applications are described and
explored in this informative volume. One of BookAuthority's Best
New Analytics Books to Read in 2020!
This book, Algebraic Computability and Enumeration Models:
Recursion Theory and Descriptive Complexity, presents new
techniques with functorial models to address important areas on
pure mathematics and computability theory from the algebraic
viewpoint. The reader is first introduced to categories and
functorial models, with Kleene algebra examples for languages.
Functorial models for Peano arithmetic are described toward
important computational complexity areas on a Hilbert program,
leading to computability with initial models. Infinite language
categories are also introduced to explain descriptive complexity
with recursive computability with admissible sets and urelements.
Algebraic and categorical realizability is staged on several
levels, addressing new computability questions with omitting types
realizably. Further applications to computing with ultrafilters on
sets and Turing degree computability are examined. Functorial
models computability is presented with algebraic trees realizing
intuitionistic types of models. New homotopy techniques are applied
to Marin Lof types of computations with model categories.
Functorial computability, induction, and recursion are examined in
view of the above, presenting new computability techniques with
monad transformations and projective sets. This informative volume
will give readers a complete new feel for models, computability,
recursion sets, complexity, and realizability. This book pulls
together functorial thoughts, models, computability, sets,
recursion, arithmetic hierarchy, filters, with real tree computing
areas, presented in a very intuitive manner for university
teaching, with exercises for every chapter. The book will also
prove valuable for faculty in computer science and mathematics.
Ecosystems and Technology: Idea Generation and Content Model
Processing, presents important new innovations in the area of
management and computing. Innovation is the generation and
application of new ideas and skills to produce new products,
processes, and services that improve economic and social
prosperity. This includes management and design policy decisions
and encompasses innovation research, analysis, and best practice in
enterprises, public and private sector service organizations,
government, regional societies and economies. The book, the first
volume in the Innovation Management and Computing book series,
looks at technology that improves efficiency and idea generation,
including systems for business, medical/health, education, and
more. The book provides detailed examples to provide readers with
current issues, including Venture planning for innovations New
technologies supporting innovations systems Competitive business
modeling Context-driven innovation modeling The generation of ideas
faster The measurement of relevant data Virtual interfaces Business
intelligence and content processing Predictive modeling Haptic
expression and emotion recognition innovations, with applications
to neurocognitive medical science This book provides a wealth of
information that will be useful for IT and business professionals,
educators, and students in many fields.
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