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The mathematics of mental rotations
Journal of Mathematical Psychology, 1990Abstract 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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Mathematical Minute: Rotating a Function Graph
The College Mathematics Journal, 2013Using 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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Isomorphism of Mathematical Descriptions of the Rotation Operation
Mechanics of Solids, 2018Currently 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 Study on Local Fluid Rotation Axis: Vorticity is Not the Rotation Axis
2021A vortex can be intuitively recognized as the rotational/swirling motion of the fluids. The fascination of the phenomenon brought about many years of research to classify and identify the vortical structure. Vorticity was one of the first theories developed to identify the vortex.
Yifei Yu, Charles Nottage, Chaoqun Liu
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Mathematical model of pneumatic multichamber rotational drive [PDF]
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.
L. N. Afanas'ev +2 more
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Mathematical Precision in Rotational Corrective Osteotomy of the Femur
Journal of Orthopaedic Trauma, 1998We 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
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MATHEMATICAL ROTATION OF ORIENTATION DATA
Geological Society of America Bulletin, 1964Three-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 Modeling of the Polymer Rotational Molding
Volume 1: Symposia, Parts A and B, 2007We 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 ...
Tyler Brandenburg +4 more
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British Journal of Educational Technology, 2018
The research literature on the topic of "spatial ability" reveals that it has a major influence on achievement in the fields of science, technology, engineering and mathematics.
J. A. González-Calero +3 more
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The research literature on the topic of "spatial ability" reveals that it has a major influence on achievement in the fields of science, technology, engineering and mathematics.
J. A. González-Calero +3 more
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Mathematical model of decolourization in a rotating disc reactor
Biochemical Engineering Journal, 2015Abstract This work presents a mathematical model of the biodegradation of an organic dye in a rotating disc reactor operated in a batch mode with discs coated with a mycelium of a white-rot fungus. The two-dimensional model domain represents the surface of one half of a disc. The disc is considered to be covered with two layers (biofilm, liquid film)
T. Skybová, Michal Přibyl, Pavel Hasal
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