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The extension to the 2D case is straightforward by using separable processing along rows and columns.
1-dimensional DCT is obtained by defining a convenient signal model and is extended to the 2-dimensional case by using separable processing of rows and columns.
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For the sake of simplicity, we can assume the image as a one-dimensional signal, since the extension to the 2D case is straightforward using separable processing.
All data sets were processed by using HKL processing suite.
All scans were analyzed by using InVivoScope processing software (Bioscan Inc).
Direct reductive amination of carbonyl compounds with variety of amines has been reported by using magnetically separable Fe@Pd/C as an efficient catalyst in aqueous reaction medium.
Another option is to use separable approximations to nonseparable covariances [ 35].
Once the 4D input signal is decomposed into 16 channels, the first, second, and third lifting steps are cascaded by using the non-separable 2D structure, followed by the non-separable 3D structure and the separable 1D structure.
Where the two classes are not separable, they map the input space into a high-dimensional feature space (where the classes are linearly separable) by using a non-linear kernel function.
The electron-ion interaction was treated by using norm-conserving, fully separable pseudo-potentials [30].
Guo et al. [2] show the existence of positive solutions for BVP (1.1) when and is separable by using cone expansion-compression fixed point theorem.
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CEO of Professional Science Editing for Scientists @ prosciediting.com