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We assume the user will only enter valid coordinates.
Working on the April 2014 yellow taxi CSV, I first subsetted the DataFrame to only those observations with valid coordinates.
They will, however, not have valid coordinates and are thus ignored during the calculation of interactions.
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The HRC-I and HRC-S bad pixel files are used both to define the valid coordinate regions in the detectors and to identify bad (hot) pixels.
For example, just because someone entered "Donkey-Kong, Texas" as their home town and a geocoder parsed that and returned a valid coordinate pair does not mean that that town exists.
If the architectural relationships between elements of the site are correctly captured into procedural descriptions (also called rule sets in grammar-based modeling), valid spatial coordinates and visual attributes within the bounds of uncertainty follow automatically.
Next, to specify the regularizing POCS projector operator in the fixed-point algorithm (26) let us make the use of factorization of the PSM (25) over the azimuth (x) and range (y) coordinates valid for all existing imaging radar/SAR systems [2, 3, 9].
Any linear relation between tensor components, such as 7Rabcd + 2Sabcd − 3Tabcd = 0,if valid in one coordinate system, is valid in all and thus represents a relationship that is objective and independent of coordinate systems in spite of the lack of a pictorial representation.
Likewise, if primary equipment (CT/VT/CB) is in abnormal working states, RIBP can acquire valid data through coordinated information analysis in corresponding CS.
For larger number of elements, N, the approaches proposed in [10] remain valid whenever the coordinate transformation Xkl∥ = xk+xl (which defines the synchronization manifold) and Xkl⊥ = xk−xl (which defines the transversal manifold) successfully separates the two systems k and l from the whole network.
Autonomous underwater vehicles (AUVs) are normally modeled using the singularity-prone Euler angles, but introducing quasi-coordinates allows us to derive the dynamics using minimal and globally valid non-Euclidean configuration coordinates.
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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