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MATHEMATICAL ROTATION OF ORIENTATION DATA

Geological Society of America Bulletin, 1964
Three-dimensional rotation, usually done graphically with a stereographic or equal-area net, may be performed mathematically by means of a 3 by 3 matrix. Digital computer programs based on the matrix should be useful in structural and sedimentation studies.
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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 ...
Lei Zhang, Yu Zhang
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Mathematical model of pneumatic multichamber rotational drive

Soviet Mining Science, 1986
A mathematical model of a pneumatic rotary drill is described which incorporates the pneumatic and thermodynamic parameters of the drill into a design optimization formulation from the standpoint of rock drilling in the mining industry.
N. N. Labuzov   +2 more
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Mathematical properties of the rotational diffusion equation

Journal 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 Modeling of the Polymer Rotational Molding

Volume 1: Symposia, Parts A and B, 2007
We study the rimming flow of a viscoelastic film on the inner surface of a horizontal rotating cylinder. Simple lubrication theory is applied assuming that the Reynolds number is small and the liquid film is thin. For the steady-state flow of the Upper-Convected Maxwell (UCM) fluid the mathematical model reduces to a first order nonlinear ODE for the ...
Sergei A. Fomin   +4 more
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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.
T D, Pulisetti   +4 more
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[Mathematical model of the rotation of cornea].

Journal francais d'ophtalmologie, 1991
The aim of our study is to informatise the procedure, ie, design the computer system and software necessary to automatically define the parameters of our problem. To achieve this, we have used an image analyser which permits us to acquire and digitalise a photograph of the lesioned cornea.
I, Karpouzas, Y, Pouliquen
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Mathematical optimization of rolling stock rotations

2017
We show how to optimize rolling stock rotations that are required for the operation of a passenger timetable. The underlying mathematical ptimization problem is called rolling stock rotation problem (RSRP) and the leitmotiv of the thesis is RotOR, i.e., a highly integrated optimization algorithm for the RSRP. RotOR is used by DB Fernverkehr AG (DBF) in
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Molecular Face-Rotating Polyhedra: Chiral Cages Inspired by Mathematics

Accounts of Chemical Research
ConspectusMolecular polyhedral cages, notable for their enclosed inner cavities, can possess varying degrees of symmetry, spanning from regular Platonic polyhedra to lower symmetry forms that may display chirality. Crafting chiral molecular cages typically involves using building blocks containing stereogenic elements or arranging achiral components in
Xue Dong   +4 more
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Rotation Technique in Radially Symmetric Electron Micrographs: Mathematical Analysis

Science, 1966
The rotation operation of order m operating on a signal removes all spatial frequencies not multiple to m . Anomalous reinforcements, causing misinterpretation, can be discounted without following previously suggested restrictions. The improvement in signal-to-noise ratio is less than
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