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For this purpose, we need a function d which expresses the distance \(d(h_{i}, h_{j}) = d_{ij}\) between two arbitrary elements of \(B\).
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Take two arbitrary elements u and v in Banach (BC J,E)).
Let (x=(x_{n})) and (y= y_{n})) be two arbitrary elements of the space (c^{I}(hat{F})), and let α, β are scalars.
It means between two arbitrary points.
Figure 4 illustrates the spurious correlations existing between two arbitrary images chosen from the Mars dataset before and after the a posteriori correction.
The transformations between two arbitrary tags in the calibration target.
Finally, we give a general description of inclusion between two arbitrary lacunary methods of statistical boundedness.
where Q ij is a proper transformation between two arbitrary orthogonal coordinate systems.
The attached software can calculate the distance between two arbitrary points on the basis of triangulation.
A general description of inclusion between two arbitrary lacunary methods of statistical boundedness is also given.
Geographic routing protocols allow for communication between two arbitrary nodes [14].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com