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Mathematical properties of the rotational diffusion equation [PDF]

open access: possibleJournal of Physics A: Mathematical and General, 2001
Summary: An iterative scheme for the approximative solution of the Galerkin system of the linear rotational diffusion equation for the chromophore distribution in nonlinear optical polymers is formulated. Uniformly valid asymptotic steady-state solutions are obtained in terms of power series expansions in the normalized static field and the convergence
Wyller, John   +2 more
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Mathematical Description of the Rotating Error Motion

Key Engineering Materials, 2006
According to the definitions of the CIRP Unification Document, The locus equations of the rotating center and the average rotating center are deduced, and then, the parameter equations of the rotating axis and the average rotating axis are obtained. All of above verify the definition of the rotating axis of the CIRP Unification Document in theory, and ...
Yu Zhang, Lei Zhang
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Mathematical Minute: Rotating a Function Graph

The College Mathematics Journal, 2013
Using calculus only, we find the angles you can rotate the graph of a differentiable function about the origin and still obtain a function graph.
Daniel Bravo, Joseph Fera
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The mathematics of mental rotations

Journal of Mathematical Psychology, 1990
Abstract A mathematical analysis of the structure of rotations and the dynamics of linear recurrent connectionist networks suggests a simple strategy for implementing mental rotations on a parallel distributed processing (PDP) architecture. Rather than encode a separate map for each combination of rotation axis and degree of rotation, the net ...
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Isomorphism of Mathematical Descriptions of the Rotation Operation

Mechanics of Solids, 2018
Currently the practice of constructing various algorithms of inertial navigation, including strapdown navigation system (SINS), indicates that two mathematical methods for describing rotation are mainly used: using quaternions or direction cosines. Moreover, in SINS algorithms it is often convenient to use two of these parameter systems in parallel ...
V. N. Branets, V. N. Branets
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Mathematical Precision in Rotational Corrective Osteotomy of the Femur

Journal of Orthopaedic Trauma, 1998
We used a mathematical model to determine whether the approach to derotation of the malrotated femur can be improved for use in corrective osteotomy of the femur. Rotational corrective osteotomy of the femur (RCOF) is a procedure performed by orthopedic surgeons to correct congenital femoral torsion deformities and posttraumatic femoral shaft malunions.
M O Onwochei   +4 more
openaire   +3 more sources

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