Results 41 to 50 of about 1,939,111 (241)

A Parametrization of Bipartite Systems Based on SU(4) Euler Angles [PDF]

, 2002
In this paper we give an explicit parametrization for all two qubit density matrices. This is important for calculations involving entanglement and many other types of quantum information processing.
Artin M, Biedenharn L C, Boya L J, Bronshtein I N, Brown J, Byrd M, Byrd M, Byrd M, Davydov A S, E C G Sudarshan, Englert B G, Georgi H, Greiner W, Hermann R, Herstein I N, Horn R A, Horodecki M, Khaneja N, Marinov M S, Marinov M S, Mark Byrd, Murnaghan F D, Nielson M A, Preskill J, Ryder L H, Sattinger D H, Scott W R, Todd Tilma, Verstraete F, Vilenkin N Ja, Wang A M, Zýczkowski K   +31 more
core   +2 more sources

Deriving Euler’s Equation for Rigid-Body Rotation via Lagrangian Dynamics with Generalized Coordinates

Mathematics, 2023
Euler’s equation relates the change in angular momentum of a rigid body to the applied torque. This paper uses Lagrangian dynamics to derive Euler’s equation in terms of generalized coordinates.
Dennis S. Bernstein, Ankit Goel, Omran Kouba   +2 more
doaj   +1 more source

Effects of weak anchoring on C1 and C2 chevron structures [PDF]

, 2005
We present a theoretical study of the effect of weak anchoring on the transition between C1 and C2 chevron structures in smectic C liquid crystals. We employ a continuum theory which allows for variable cone, azimuthal and layer tilt angles.
A. Diaz, Elston S. J., G. McKay, Lagerwall S. T., Mottram N. J., N. J. Mottram, Pikin S. A., Stewart I. W.   +7 more
core   +1 more source

Bearing-Based Distributed Formation Control of Unmanned Aerial Vehicle Swarm by Quaternion-Based Attitude Synchronization in Three-Dimensional Space

Drones, 2022
Most of the recent research on distributed formation control of unmanned aerial vehicle (UAV) swarms is founded on position, distance, and displacement-based approaches; however, a very promising approach, i.e., bearing-based formation control, is still ...
Muhammad Baber Sial, Yuwei Zhang, Shaoping Wang, Sara Ali, Xinjiang Wang, Xinyu Yang, Zirui Liao, Zunheng Yang   +7 more
doaj   +1 more source

Attitude Estimation of Underwater Vehicles Using Field Measurements and Bias Compensation

Sensors, 2019
This paper proposes a method of estimating the attitude of an underwater vehicle. The proposed method uses two field measurements, namely, a gravitational field and a magnetic field represented in terms of vectors in three-dimensional space.
Nak Yong Ko, Seokki Jeong, Suk-seung Hwang, Jae-Young Pyun   +3 more
doaj   +1 more source

Lagrangian Mechanics and Variational Integrators on Two-Spheres [PDF]

, 2007
Euler-Lagrange equations and variational integrators are developed for Lagrangian mechanical systems evolving on a product of two-spheres. The geometric structure of a product of two-spheres is carefully considered in order to obtain global equations of ...
Lee, Taeyoung, Leok, Melvin, McClamroch, N. Harris   +2 more
core   +2 more sources

Quaternions as a solution to determining the angular kinematics of human movement

BMC Biomedical Engineering, 2020
Background The three-dimensional description of rigid body kinematics is a key step in many studies in biomechanics. There are several options for describing rigid body orientation including Cardan angles, Euler angles, and quaternions; the utility of ...
John H. Challis
doaj   +1 more source

Modeling Parallel Robot Kinematics for 3T2R and 3T3R Tasks Using Reciprocal Sets of Euler Angles

Robotics, 2019
Industrial manipulators and parallel robots are often used for tasks, such as drilling or milling, that require three translational, but only two rotational degrees of freedom (“3T2R”). While kinematic models for specific mechanisms for these tasks exist,
Moritz Schappler, S. Tappe, T. Ortmaier
semanticscholar   +1 more source

Motions about a fixed point by hypergeometric functions: new non-complex analytical solutions and integration of the herpolhode [PDF]

, 2018
We study four problems in the dynamics of a body moving about a fixed point, providing a non-complex, analytical solution for all of them. For the first two, we will work on the motion first integrals. For the symmetrical heavy body, that is the Lagrange-
Ritelli, Daniele, Scarpello, Giovanni Mingari   +1 more
core   +2 more sources

An Investigation into the Flow of Rotating Orifices with Euler Angle and the Calculation Model of Discharge Coefficient Considering the Effect of Comprehensive Incidence Angle

Aerospace, 2022
As a typical flow element in an aero-engines, orifices play a vital role in the distribution and control of the mass flow rate within the secondary air system.
Jie Wang, Peng Liu, Tian Qiu, Shuiting Ding   +3 more
doaj   +1 more source