The one of interest has colors, and shows lobes above a polar-coordinate grid .)
2.
A coordinate grid in spacetime is the set of curves one obtains if three out of four coordinate functions are set to a constant.
3.
The Cartesian coordinate grid on this square has been distorted by a coordinate transformation, so that there is a nonlinear relationship between the old ( x, y ) coordinates and the new ones.
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For example, if the same covariant derivative is written in polar coordinates in a two dimensional Euclidean plane, then it contains extra terms that describe how the coordinate grid itself " rotates ".
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The names of albedo features currently used by the Gazetteer of Planetary Nomenclature are largely based upon Antoniadi's names, but include several alterations; they also necessarily use a different coordinate grid.
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Hipparchus may have used a globe for these tasks, reading values off coordinate grids drawn on it, or he may have made approximations from planar geometry, or perhaps used arithmetical approximations developed by the Chaldeans.
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D�rer's study of human proportions and the use of transformations to a coordinate grid to demonstrate facial variation inspired similar work by D'Arcy Thompson in his book " On Growth and Form ".
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:The dot and the open dot are pretty standard meanings for coordinate grids and number lines, but the x is not as standard and what Lambian said . "'[ Mac ??v?s ] "'
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Additionally, because mixing in the ocean interior is largely along lines of constant potential density rather than along lines of constant depth, mixing must be rotated relative to the coordinate grid-a process that can be computationally expensive.
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In other cases the extra terms describe how the coordinate grid expands, contracts, twists, interweaves, etc . In this case " keeping it parallel " does " not " amount to keeping components constant under translation.
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