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Since a spherical geometry is used on the dayside, a further transformation into spherical coordinates is required: x = r sin θ cos λ, y = r sin θ sin λ, z = r cos θ.
For analysis of fibrous structures, an analogous formalism in cylindrical coordinates is required.
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In the case of the presence of anchors, or if absolute coordinates are required, another round of information propagation is needed to transform the coordinates of each sensor to the corresponding absolute coordinates.
However, if RGB coordinates are required, a simplified multiplicative model based on the chromatic information of the original image can be applied to recover the enhanced color image with minimum color distortion.
At least, read start positions with respect to genomic coordinates are required.
The interpretation of the kinetic equations in terms of the structure of the underlying free-energy landscape, however, is more subtle; e.g., how many coordinates are required to adequately describe the free-energy landscape?
The editors may waive the voucher requirement only in certain circumstances, as when the rarity of a taxon may preclude its collection in the field; in such cases, either accurate GPS coordinates are required for collection localities (if allowed for publication) or citations can consist of previously collected vouchers deposited by other collectors from the same location or from a nearby site.
Therefore, only one set of mapped coordinate is required.
Thus, the transformation from the Cartesian coordinate to the polar coordinate is required in the implementation of Radon-ambiguity transform.
It is shown, through analysis of both types of data, that a non-zero rate of change in the direction of the new coordinate is required and a phenomenological description of this rate is proposed.
The proposed texture coordinate interpolation combines the benefits of division and midpoint iteration in order to reduce silicon area without performance loss in computing the fraction part of texture coordinates, which is required for texture filtering.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com