Variant Construction from Theoretical Foundation to Applications

This open-access book provides a theoretical framework and sample applications of variant construction, covering variant logic, measurements, maps, and applications in discrete mathematics, computing, quantum, and communication sciences, big data engineering, and more.

\n Format: Hardback
\n Length: 409 pages
\n Publication date: 05 January 2019
\n Publisher: Springer Verlag, Singapore
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This open-access book offers a comprehensive theoretical framework and diverse sample applications of variant construction. The first part delves into the core components of variant logic, variant measurements, and variant maps, while the second part showcases a range of practical applications, including variation with functions, variant stream ciphers, quantum interference, classical/quantum random sequences, whole DNA sequences, and multiple-valued pulse sequences. Spanning from the foundations of logic and measurement to real-world implementations, this resource is an invaluable guide for theoretical researchers in discrete mathematics, computing, quantum, and communication sciences, as well as for big data engineers and graduate and upper undergraduate students.

Introduction:
Variant construction is a fundamental concept in discrete mathematics, computing, and various fields of science and technology. It involves the study and manipulation of structures that exhibit variations or alternatives, providing a powerful tool for designing and analyzing systems with different properties and behaviors. This open-access book aims to provide a comprehensive theoretical framework and diverse sample applications of variant construction, catering to a wide range of readers.

Theoretical Framework:
The first part of the book focuses on the theoretical foundations of variant construction. It introduces the concept of variant logic, which extends traditional logic with additional operators and rules to handle variations and alternatives. Variant measurements, which are used to quantify and compare variations, are also discussed. Variant maps, which represent and manipulate variant structures, are introduced as a powerful tool for analysis and optimization.

Sample Applications:
The second part of the book showcases a wide range of sample applications of variant construction. It explores various areas such as variation with functions, where functions are allowed to have multiple outputs or inputs, leading to new types of optimization problems. Variant stream ciphers, which are encryption algorithms that utilize the properties of variant structures, are discussed. Quantum interference, a fundamental phenomenon in quantum computing, is explored through the application of variant construction. Classical/quantum random sequences, which are important in various applications such as cryptography and signal processing, are studied using variant construction techniques. Whole DNA sequences, which are the building blocks of genetic information, are analyzed using variant construction methods. Multiple-valued pulse sequences, which are used in communication systems, are explored with variant construction.

Conclusion:
In conclusion, this open-access book offers a valuable resource for theoretical researchers, computing, quantum, and communication scientists, big data engineers, and graduate and upper undergraduate students interested in variant construction. It provides a comprehensive theoretical framework and diverse sample applications, covering a wide range of topics and providing insights into the potential applications of this powerful concept. By exploring the theoretical foundations and practical applications of variant construction, this book contributes to the advancement of knowledge in discrete mathematics, computing, and related fields.

\n Weight: 808g\n
Dimension: 165 x 243 x 27 (mm)\n
ISBN-13: 9789811322815\n
Edition number: 1st ed. 2019\n