The criteria for automorphisms on finite-dimensional algebras by Yanni Yang, Quanguo Chen

Subjects: Get full text

Quaternion-Based Fast SMC–PD Cross-Domain Tracking Control for Coaxial Hybrid Aerial–Underwater Vehicle Under Oceanic Disturbances by Mingqing Lu, Wei Yang, Fei Liao, Shichong Wu, Yumin Su, Wenhua Wu

Subjects: Get full text

Matrix measure-based exponential stability and synchronization of Markovian jumping QVNNs with time-varying delays and delayed impulses by Miao Zhang, Bole Li, Weiqiang Gong, Shuo Ma, Qiang Li

Subjects: “…quaternion-valued neural networks…”
Get full text

Unmanned Aerial Vehicle Attitude Determination Strategies: A Review by David Oppong, Joshua Ampofo, Eunice Akyereko Adjei, Anthony Agyei-Agyemang, Kwasi Kete Bofah, Mary Korkor Teye, Victoria Serwaa-Bonsu Acheamfour, God'sable Sitsofe Koku Aidam

Subjects: Get full text

Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields by Matveev, Vladimir S., Nikolayevsky, Yuri

Subjects: Get full text

Rings with involution whose symmetric elements are central by Taw Pin Lim

Subjects: Get full text

PoWBWM: Proof of work consensus cryptographic blockchain-based adaptive watermarking system for tamper detection applications by P. Aberna, L. Agilandeeswari

Subjects: Get full text

Almost contact metric 3-submersions by Bill Watson

Subjects: Get full text

Translational and great Darboux cyclides by Lubbes, Niels

Subjects: Get full text

SUBJECT «NUMBER SYSTEMS» IN TWO-LEVELED FORMAT PREPARATION TEACHERS OF MATHEMATICS by V. I. Igoshin

Subjects: Get full text

Color Confinement and Spatial Dimensions in the Complex-Sedenion Space by Zi-Hua Weng

“…Maxwell was the first to employ the quaternions to study the electromagnetic fields. His method inspires subsequent scholars to introduce the quaternions, octonions, and sedenions to research the electromagnetic field, gravitational field, and nuclear field. …”
Get full text

Electroweak quantum numbers in the $$D_4$$ D 4 root system by Henrik Jansson

“…Also, possible electroweak interactions are given by a simple rule where the 24-cell acts on itself by quaternion multiplication. The three generations of fermions in the Standard Model are hereby identified with the three imaginary dimensions of the quaternions.…”
Get full text

Color UAV Image Edge Detection Based on Improved Fireworks Algorithm by Dujin Liu, Bi Liang, Jie Li

“…In this method, the color image pixels of the UAV are represented using quaternions. The explosion amplitude formula of the fireworks is divided into two categories based on the mean value of the number of fireworks explosions. …”
Get full text

High-Accuracy and Low-Cost Attitude Measurement Unit of the CubeSat by Haining Ma, Zhengliang Lu, Xiang Zhang, Wenhe Liao, Klaus Briess

“…The Multiplicative Extended Kalman Filter (MEKF) is used to estimate the attitude of CubeSat, and four kinds of attitude estimation layouts are put forward according to the idea of weighted average of two quaternions from two STR and different architectures of information fusion. …”
Get full text

Biquaternionic Reformulation of a Fractional Monochromatic Maxwell System by Yudier Peña Pérez, Ricardo Abreu Blaya, Martín Patricio Árciga Alejandre, Juan Bory Reyes

“…Additionally, some examples are given to illustrate how the quaternionic fractional approach emerges in linear hydrodynamics and elasticity.…”
Get full text

Design of Fixed Beamformers Based on Vector-Sensor Arrays by Matthew Hawes, Wei Liu

“…The problem of designing fixed beamformers based on such an array, with a quaternionic signal model, is considered in this paper. …”
Get full text

Development of a Wearable-Sensor-Based Fall Detection System by Falin Wu, Hengyang Zhao, Yan Zhao, Haibo Zhong

“…The system monitors the movements of human body, recognizes a fall from normal daily activities by an effective quaternion algorithm, and automatically sends request for help to the caregivers with the patient’s location.…”
Get full text

Formulas for Generalized Two-Qubit Separability Probabilities by Paul B. Slater

“…These yield that part of the total separability probability, P(k,α), for generalized (real, complex, quaternionic, etc.) two-qubit states endowed with random induced measure, for which the determinantal inequality ρPT>ρ holds. …”
Get full text

Horadam Spinors by Tülay Erişir

“…The Horadam spinors given in this study are a generalization of the spinor representations of Horadam quaternion sequences.…”
Get full text