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In your case, the natural coordinate system to use would be 'spherical coordinates'.
On linear elements, all the above schemes are one-dimensional in each natural coordinate direction.
It thus allows one to find a natural coordinate system for data whose original parametrization is not amenable to available statistical techniques.
For this reason, a data integration procedure is included in the methodology to support the use of the natural coordinate transformation in real cases.
However, usually the representation of a covariance matrix in the natural coordinate system, i.e. the copy numbers of the molecular species, is intractably complicated because reactions change copy numbers of more than one molecular species simultaneously.
This is achieved by transforming quantities such as equivalent plastic strain, equivalent stress, the expression of the yield surface and the components of flow vector from the material coordinate system to the natural coordinate system.
Similar(43)
Pfeiffer, A. N. et al. Attoclock reveals natural coordinates of the laser-induced tunnelling current flow in atoms.
The natural coordinates are adopted to deal with the kinematics synthesis for different spatial mechanisms.
The generalized natural coordinates are also used for determining in which element the departure points lie.
This paper deals with the use of natural coordinates for the synthesis of mechanisms using optimization methods.
The kinematic characteristics of the parallel mechanism family are investigated in terms of constraint equations formulated in natural coordinates.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com