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First, we apply a linear transformation to the data such that it appears isotropic and subsequently fit isotropic inhomogeneous Strauss or Lennard-Jones models to the transformed pattern.
All the spots of Fourier transformed pattern (Fig. 1c) obtained from the HRTEM image in Fig. 1b can be indexed as those peculiar to the zone axis of face centered cubic Fe3O4.
Different from other periodic cellular materials, novel transformed pattern for SMP material can be fixed via cooling to a temperature below the glass transition temperature Tg, and this fixed pattern can further be recovered to its original pattern by reheating to a temperature above Tg.
The encoding of English sentences into French (in keeping with our previously assumed language pair) is conceptualized as beginning with a parsed English sentence, which is then transformed by (learned) rules that progressively expand the original or partially transformed pattern of phrases and words until all the leaves are French words.
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The inserts are the fast Fourier transformed patterns.
The output of the classifiers defines the ECOC feature space, in which it is easier to separate transformed patterns representing clients and impostors.
Inset shows the Fourier transform pattern taken from the nearby ZnSe lattice.
In this inset, a Fourier transform pattern of the ZnSe lattice near the NP is also shown.
e HRTEM image taken from the tube wall of a cylindrical BNNT, inset: the fast Fourier transform pattern of the corresponding HRTEM image.
Further improvements of 2-band MWT could potentially be obtained by taking into account the properties of the signal to be analyzed, but all the cited transforms use the unchangeable transform pattern for diverse images.
Bottom-left inset shows the HRTEM image taken for the AuZnδ NP on the left side of this figure with a Fourier transform pattern of the nearby ZnSe lattice.
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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