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The study of transformations of matter and energy in systems as they approach equilibrium.
We emphasize Klein's approach, i.e., the view in which geometry should be defined as the study of transformations and of the objects that transformations leave unchanged, or invariant.
This property, which easily follows from the intertwining relation (21) for Heisenberg Weyl operators, is essential in our context, since our aim is precisely to show how symplectic covariance properties provide a powerful tool for the study of transformations of Gabor frames.
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The study of transformation dates to the late 1920s, when an English physician, F. Griffith, discovered that pneumococcal cells (Streptococcus pneumoniae) could convert from a harmless form to a disease-causing type.
Computer simulations play an important role in the study of transformation processes of condensed matter, including phase transitions, chemical reactions, and conformational changes of biomolecules.
Science may be the study of transformation, but in this case, a working knowledge of robotics didn't hurt, and this time Butch and Sundance got to reverse the flight of bullets.
The purposefulness of the studies on transformations of certain oxygenates into other ones is justified by dynamic changes in their interdependence.
Modern geochemical research also includes the study of chemical transformations of biological materials in rocks and the cyclic flow of individual elements (and their compounds) between living and nonliving systems.
Understanding interactions between brain areas is crucial for the study of visuomotor transformations.
Sedney was invited to speak at the Institute For The Study of Conflict Transformation and Social Justice at Queen's University Belfast.
This method was applied to the study of ozonation transformation products (OTPs) of the natural hormone estrone (E1).
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