CARTAN DECOMPOSITION OF THE DE SITTER GROUP SO(1,4). QUATERNION EULER ANGLES
Dmytro SHVALIKOVSKYI
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Modified Gibbs's representation of rotation matrix
A modified Gibbs's rotation matrix is derived and the connection with the Euler angles, quaternions, and Cayley$-$Klein parameters is established. As particular cases, the Rodrigues and Gibbs parameterizations of the rotation are obtained.
Barzda, V., Kruglov, S. I.
core
Transonic and supersonic Euler computations of vortex-dominated flow fields about a generic fighter [PDF]
Flow fields about a generic flighter model were computed using FL057, a 3-D, finite volume Euler code. Computed pressure coefficients, forces, and moments at several Mach numbers (0.6, 0.8, 1.2, 1.4, and 1.6) are compared with wind tunnel data over a ...
Goodsell, Aga M., Melton, John E.
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To solve the problem of whether or not singularity when moving platform rotating around second moving shaft of a moving coordinate system at 0or 90,the movement pseudo singularity of a parallel mechanism is analyzed.Combininging a Stewart cross-legged ...
许兆棠 +5 more
doaj
Gravitational lensing of Euler-Heisenberg black hole surrounded by perfect fluid dark matter
In this work, we study the gravitational lensing of Euler-Heisenberg black hole surrounded by perfect fluid dark matter. This kind of black hole solution enables us to investigate the nontrivial interplay between the dark matter effects and nonlinear ...
Ping Su, Chen-Kai Qiao
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Euler-Angle Reduction of the Schrödinger Equation for Three-Electron Atoms [PDF]
T. M. Kalotas, Matt Lloyd, L. M. Delves
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Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle [PDF]
Diego Córdoba +2 more
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Jacobian linear regression and Tate Bryant Euler angle enabled autonomous vehicle LiFi communication sustained IOT [PDF]
Krishna Kumar L., S. Lokesh
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Rigid-body Numerical Integration of Io’s Physical Libration Under Multibody Perturbations
This study investigates the spin–orbit coupling of natural satellites, focusing on Io’s libration as a means of probing its internal structure and tidal responses.
Lidan Zhang +4 more
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