Results 31 to 40 of about 2,182,834 (296)
Approximate representations of shaped pulses using the homotopy analysis method [PDF]
Magnetic Resonance, 2021 The evolution of nuclear spin magnetization during a radiofrequency pulse in the absence of relaxation or coupling interactions can be described by three Euler angles. The Euler angles, in turn, can be obtained from the solution of a Riccati differential
T. Crawley, A. G. Palmer III
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Rotacija z enotskim kvaternionom ( = Rotation with unit quaternion) [PDF]
Geodetski Vestnik, 2014 A quaternion is a hyper-complex number. A rule for quaternion multiplications allows us to use it as a rotation in three-dimensional space. The aim of this article is to present quaternion rotations to the Slovene professional geodetic public ...
Klemen Kregar +2 more
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Generalization of the Euler Angles [PDF]
The Journal of the Astronautical Sciences, 2003 It is shown that the Euler angles can be generalized to axes other than members of an orthonormal triad. As first shown by Davenport, the three generalized Euler axes, hereafter: Davenport axes, must still satisfy the constraint that the first two and the last two axes be mutually perpendicular if these axes are to define a universal set of attitude ...
Malcolm D. Shuster, F. Landis Markley
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Rotation Representations and Their Conversions
IEEE Access, 2023 A rigid body motion, which can be decomposed into rotation and translation, is essential for engineers and scientists who deal with moving systems in a space.
Soohwan Kim, Minkyoung Kim
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Evaluating the Feasibility of Euler Angles for Bed-Based Patient Movement Monitoring
Signals, 2023 In the field of modern healthcare, technology plays a crucial role in improving patient care and ensuring their safety. One area where advancements can still be made is in alert systems, which provide timely notifications to hospital staff about critical
Jonathan Mayer +6 more
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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 +31 more
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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 +7 more
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Characterizations of Framed Curves in Four-Dimensional Euclidean Space
Universal Journal of Mathematics and Applications, 2021 Framed curves in Euclidean space are used to investigate singular curves and are important for singularity theory. In this study, framed curves in four-dimensional Euclidean space are introduced and new results are obtained. The relation of framed curves
Bahar Doğan Yazıcı +2 more
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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 +1 more
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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 +3 more
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