Yong Guan

This book discusses the formalization of mathematical theories centering on complex analysis and matrix theory, covering topics such as algebraic systems, complex numbers, gauge integration, the Fourier transformation and its discrete counterpart, matrices and their transformation, inner product spaces, and function matrices. The formalization is performed using the interactive theorem prover HOL4, chiefly developed at the University of Cambridge. Many of the developments presented are now integral parts of the library of this prover. As mathematical developments continue to gain in complexity, sometimes demanding proofs of enormous sizes, formalization has proven to be invaluable in terms of obtaining real confidence in their correctness. This book provides a basis for the computer-aided verification of engineering systems constructed using the principles of complex analysis and matrix theory, as well as building blocks for the formalization of more involved mathematicaltheories.

This book elaborates the corrosion testing and assessment methods for the aluminum alloy vessel in the service and internal environment. The emphasis is placed on the research of general materials corrosion characteristics, electrochemical protection design, surface protection, coating and painting, etc. This book helps readers to keep abreast of the whole technology system of the corrosion prevention and control of aluminum alloy vessel, especially the systematic engineering view of life cycle corrosion control for the vessel is of particular interest to readers.

This book discusses the formalization of mathematical theories centering on complex analysis and matrix theory, covering topics such as algebraic systems, complex numbers, gauge integration, the Fourier transformation and its discrete counterpart, matrices and their transformation, inner product spaces, and function matrices. The formalization is performed using the interactive theorem prover HOL4, chiefly developed at the University of Cambridge. Many of the developments presented are now integral parts of the library of this prover. As mathematical developments continue to gain in complexity, sometimes demanding proofs of enormous sizes, formalization has proven to be invaluable in terms of obtaining real confidence in their correctness. This book provides a basis for the computer-aided verification of engineering systems constructed using the principles of complex analysis and matrix theory, as well as building blocks for the formalization of more involved mathematicaltheories.

This book elaborates the corrosion testing and assessment methods for the aluminum alloy vessel in the service and internal environment. The emphasis is placed on the research of general materials corrosion characteristics, electrochemical protection design, surface protection, coating and painting, etc. This book helps readers to keep abreast of the whole technology system of the corrosion prevention and control of aluminum alloy vessel, especially the systematic engineering view of life cycle corrosion control for the vessel is of particular interest to readers.