Abstract: Quaternion Kalman filters (QKFs) are designed for state estimation in three-dimensional (3-D) space. To simplify initialization, this paper focuses on the quaternion information filter (QIF) ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...

Define the Standard Model gauge group to be S ( U ( 2) × U ( 3)), the subgroup of SU ( 5) consisting of block diagonal matrices with a 2 × 2 block and then a 3 × 3 block. (This is isomorphic to the ...

This letter proposes a quaternion projection gradient ascent (QPGA) iterative algorithm based on generalized HR calculus for computing the principal eigenvalues and its eigenvectors of quaternion ...

The Earth is always spinning on an imaginary line called an axis. This line goes through the North and South poles. We call this spinning, rotation, and it takes about 24 hours for the Earth to make ...

An open source library for transformation functions useful for robotic applications (forward/inverse kinematics, path planning, etc.) The library provides access to various classes for working with ...

High-performance native device motion plugin for Capacitor. Streams quaternion + gravity + rotation rate at up to 100 Hz on both iOS and Android. Perfect for AR, gesture controls, robotics, motion ...

The Matrix collection depicts a complex science fiction story incorporating many philosophical elements. Written and directed by the Wachowskis and produced by Joel Silver.