This book analyzes the generation of the arrow-categories of a given category, which is a foundational and distinguishable Category Theory phenomena, in analogy to the foundational role of sets in the traditional set-based Mathematics, for defi nition of natural numbers as well.
Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications.
Multi-valued and fuzzy logics provide mathematical and computational tools for handling imperfect information and decision-making with rational collective reasoning and irrational individual judgements.
Multi-valued and fuzzy logics provide mathematical and computational tools for handling imperfect information and decision-making with rational collective reasoning and irrational individual judgements.
Continuing a bestselling tradition, An Introduction to Cryptography, Second Edition provides a solid foundation in cryptographic concepts that features all of the requisite background material on number theory and algorithmic complexity as well as a historical look at the field.
This book explores the exciting world of quantum computing, from its theoretical foundations to its practical applications, offering both non-technical and expert readers a comprehensive and accessible introduction to this cutting-edge technology that has the potential to revolutionize the way we process and transmit information.
Implementing the circular economy necessitates innovative approaches capable of managing the complexity and uncertainty inherent in the shift from linear to circular systems.
Dieses Buch deckt alle relevanten mathematischen Themen eines Grundstudiums der Natur- oder Ingenieurwissenschaften ab, von der Analysis (inklusive einer ausführlichen Behandlung gewöhnlicher Differentialgleichungen mitsamt Modellierungsaspekten) und der linearen Algebra bis hin zu den wichtigsten Lösungsmethoden für partielle Differentialgleichungen.
Dieses Buch deckt alle relevanten mathematischen Themen eines Grundstudiums der Natur- oder Ingenieurwissenschaften ab, von der Analysis (inklusive einer ausführlichen Behandlung gewöhnlicher Differentialgleichungen mitsamt Modellierungsaspekten) und der linearen Algebra bis hin zu den wichtigsten Lösungsmethoden für partielle Differentialgleichungen.
This book presents further developments and applications in the area of completely regular semigroup theory, beginning with applications of Polak's theorem to obtain detailed descriptions of various kernel classes including the K-class covers of the kernel class of all bands.
This book presents further developments and applications in the area of completely regular semigroup theory, beginning with applications of Polak's theorem to obtain detailed descriptions of various kernel classes including the K-class covers of the kernel class of all bands.
This sixth volume of the book series applies finite injury priority method to R-calculi and obtain (in)completeness theorem for binary-valued, Post three-valued, B2^2-valued and L4-valued first-order logics, and extend the method to infinite injury priority method and 0"e;-method for default logic to produce pseudo-extensions of a default theory, corresponding to different R-calculi.
This sixth volume of the book series applies finite injury priority method to R-calculi and obtain (in)completeness theorem for binary-valued, Post three-valued, B2^2-valued and L4-valued first-order logics, and extend the method to infinite injury priority method and 0"e;-method for default logic to produce pseudo-extensions of a default theory, corresponding to different R-calculi.
