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Anticipating adolescent growth vectors and velocities
American Journal of Orthodontics, 1972Abstract Growth potency can be evaluated by the hand-wrist radiograph, standards of height-weight values, and serial cephalometric observation radiographs. Experience adapts accepted predictive charts, such as those of Bayer and Bayley, to the norms of any ethnic population for the individual patients under treatment.
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Vector of Coordinates, Velocities and Accelerations
2015This chapter describes the how the vector of coordinates are defined in the formulation of spatial multibody systems. For this purpose, the translational motion is described in terms of Cartesian coordinates, while rotational motion is specified using the technique of Euler parameters. This approach avoids the computational difficulties associated with
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Velocity Gradient Method of Lyapunov Vector Functions
Proceedings of the 2019 the 5th International Conference on e-Society, e-Learning and e-Technologies - ICSLT 2019, 2019In this paper, a new approach for constructing the Lyapunov function is considered. Lyapunov function is obtained as a vector function on the basis of the geometric interpretation of the Lyapunov's second method and, its antigradient is given by the velocity vector components (the right-hand side of the state equation) of the system. The stability area
Mamyrbek Beisenbi +3 more
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Multizone reproduction by matching the velocity vectors
The Journal of the Acoustical Society of America, 2023This paper proposes a velocity-based multizone reproduction method, which reproduces the velocity vectors throughout each listening zone. Velocity vectors are related to the localization of sound below 700 Hz. Previous work considered reproducing the velocity vectors at sweet spots or on the listening zone’s boundary, and usually involved measurements ...
Jiarui Wang +3 more
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Examples of Vector Velocity Imaging
2011To measure blood flow velocity in vessels with conventional ultrasound, the velocity is estimated along the direction of the emitted ultrasound wave. It is therefore impossible to obtain accurate information on blood flow velocity and direction, when the angle between blood flow and ultrasound wave approaches 90°.
Peter M. Hansen +4 more
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Examples of In Vivo Blood Vector Velocity Estimation
Ultrasound in Medicine & Biology, 2007In this paper, a case study of in-vivo blood vector velocity images of the carotid artery are presented. The transverse oscillation (TO) method for blood vector velocity estimation has been used to estimate the vector velocities. The carotid arteries of three healthy volunteers are scanned in-vivo at three different positions by experienced ...
Udesen, Jesper +3 more
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A new digital algorithm for the velocity translation vector
Science China Information Sciences, 2013The error of the conventional sculling correction algorithm under maneuvers is analyzed through Taylor series expansion; a generalized error equation is presented. Using frequency-series sculling algorithms in the digital algorithm for the velocity translation vector will cause the accuracy of the digital algorithm under maneuvers to decrease by one ...
Min Song, Wenqi Wu
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Application of vectors to relative velocity
International Journal of Mathematical Education in Science and Technology, 2004The topic ‘relative velocity’ has recently been introduced into the Cambridge Ordinary Level Additional Mathematics syllabus under the application of Vectors. In this note, the results of relative velocity and the ‘reduction to rest’ technique of teaching relative velocity are derived mathematically from vector algebra, in the hope of providing ...
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Pulse Wave Velocity Measurement with Velocity Vector Imaging
2013Pulse-wave velocity (PWV) is typically used for estimating the stiffness of arteries This study was to implement a new method and rapid two-dimensional ultrasound method for the measurement of PWV in the carotid artery. The longitudinal dynamic image of CCA was analyzed using syngo Velocity Vector Imaging technology.
Cun Liu +9 more
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Trajectory optimization in terms of quasi-velocity vector
Proceedings of the 45th IEEE Conference on Decision and Control, 2006This paper deals with optimization of unnormalized quasi-velocities (UQV) introduced originally by Jain and Rodriguez (1995). The UQV are based on a decomposition of the manipulator mass matrix. The optimization is based on the Pontryagin maximum principle.
Przemyslaw Herman, Krzysztof Kozlowski
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