Grid-based Nonlinear Estimation and its Applications presents new Bayesian nonlinear estimation techniques developed in the last two decades. Grid-based estimation techniques are based on efficient and precise numerical integration rules to improve performance of the traditional Kalman filtering based estimation for nonlinear and uncertainty dynamic systems. The unscented Kalman filter, Gauss-Hermite quadrature filter, cubature Kalman filter, sparse-grid quadrature filter, and man...

There is a pressing need for a greater understanding among the world’s diverse peoples. Once individuals gain an appreciation of each other’s language and history, they can use this foundation to help construct a more peaceful, harmonious, cooperative and equitable world. But how can they begin to work toward this goal? In 2013 China proposed the Community of Shared Future (CSF), which has since become a framework for international collaboration aimed at creating a better world. Under the ...

This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely applicable even outside the field of relativity. Chapter 6 analyzes special relativity using geometric language. In turn, the last four chapters introduce readers to the fundamentals of general relativity. Intended for beginners, this volume includes numerous ...