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Equation (10) is the key to developing constitutive relations that can gradually approach volume preserving representations.
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The coins of Athens preserve representations of many statues famous in antiquity that have long since perished, such as the Athena Parthenos of Phidias; the great Athena Promachos on the Acropolis, visible far out at sea; or the Dionysus of Alcamenes, possibly a pupil of Phidias.
The algorithm operates fully automatically (no requirement for user interaction) and generates accurate volume-preserving representations of arbitrarily complex geometries with smooth surfaces.
We also show that the MS-EGM has strong robustness to the image of a face occluded with sunglasses and scarfs because of topologically preserved feature representations.
We have shown that the MS-EGM has strong robustness to the image of a face occluded with sunglasses and scarfs because of topologically preserved feature representations.
This approach achieved superior performance compared to classifiers trained on word-level text representations, likely due to the use of character-level representations preserving more information from the data.
It seems that the subjects had a preserved topological representation of space, but an impaired Euclidian representation.
Therefore, they take advantage of the analytic power of abstract representations, preserving the ability to generate stochastic and deterministic simulations.
Republican Hughes rather than Tammany Democrats stood up to the New York state legislature when it expelled five elected Socialist members from its chambers, writing, "Democracy cannot be preserved if representation is denied".
While the primary concern of Democrats and Republicans alike is to preserve current representation, there will also be jockeying for new seats, with Republicans expecting to pick up some strength in the western and central parts of the state, where the population has mushroomed, and Democrats looking to increase the number of minority lawmakers.
Smt mappings preserve the representation of harmonic structure of musical tones for the CI.
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CEO of Professional Science Editing for Scientists @ prosciediting.com