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By reducing relations difficult to state and prove geometrically to algebraic relations between coordinates (usually rectangular) of points on curves, Descartes brought about the union of algebra and geometry that gave birth to the calculus.
Two important ones are mapping between coordinates and modeling of fluid flow complex physics.
In practice, small difference will exist between coordinates of matched points.
The maximum distance between coordinates of the same address was 2107.2 miles from California to Florida (Fig. 2a and c).
The root-mean-square deviation between coordinates of all poses of each compound were calculated and used for hierarchical clustering.
The spin axis was dynamically precessing since the launch and currently is sinus-like behaving between coordinates RA 120°…150°, Dec 30°…60° J20000 inertial reference frame).
After geocoding all addresses using Google Sheets and ggmap, distances between coordinates having the same locations were calculated to validate the geocoding results, using the geosphere package.
We obtained the amplitude of the offset as the difference between coordinates averaged for 10 days just before and after the earthquakes.
This is because the search in SHAM takes diagonal paths between coordinates while in CAN the search traverses on the coordinates as Fig. 8 illustrates [4, 31].
Part of this improvement in performance is credited to the use of diagonal paths between coordinates which minimizes the average path length by a factor of d.
where d is a horizontal distance between x and x′. Figure 2 Curved coordinate transformation between coordinates (x,y,z) and (x′,y′,z′).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com