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Copy-edit the transform tutorial.
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galleries/users_explain/artists/transforms_tutorial.py

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# you call ``ax.set_xscale('log')``, the xaxis updates its scale to a
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# :class:`matplotlib.scale.LogScale` instance.
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#
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# For non-separable axes the PolarAxes, there is one more piece to
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# consider, the projection transformation. The ``transData``
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# :class:`matplotlib.projections.polar.PolarAxes` is similar to that for
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# the typical separable matplotlib Axes, with one additional piece
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# ``transProjection``::
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# For non-separable axes, there are some more pieces to consider, in
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# particular the projection transformation. For example, the ``transData`` of
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# `matplotlib.projections.polar.PolarAxes` includes some additional pieces over
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# that of a typical separable Axes::
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#
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# self.transData = (
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# self.transScale + self.transShift + self.transProjection +
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# (self.transProjectionAffine + self.transWedge + self.transAxes))
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#
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# ``transProjection`` handles the projection from the space,
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# e.g., latitude and longitude for map data, or radius and theta for polar
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# data, to a separable Cartesian coordinate system. There are several
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# ``transProjection`` handles the projection from data coordinates
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# (e.g., latitude and longitude for map data, or radius and theta for polar
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# data), to a separable Cartesian coordinate system. There are several
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# projection examples in the :mod:`matplotlib.projections` package, and the
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# best way to learn more is to open the source for those packages and
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# see how to make your own, since Matplotlib supports extensible axes

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