Classical Morphology of Plants as an Elementary Instance of Classical Invariant Theory
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Classical Morphology of Plants as an Elementary Instance of Classical Invariant Theory
It has long been known that structural chemistry shows an intriguing correspondence with Classical Invariant Theory (CIT). Under this view, an algebraic binary form of the degree n corresponds to a chemical atom with valence n and each physical molecule or ion has an invariant-theoretic counterpart. This theory was developed using the Aronhold symbolical approach and the symbolical processes of...
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Classical invariant theory has died and been resurrected many times. Its golden age in the last century was marked with the flowering of unsurpassed computational ability, and the explicit determination of the invariants of most of the elementary polynomials. The computational approach is commonly acknowledged to have been dealt a death-blow by Hilbert’s celebrated Basis Theorem, an existential...
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ژورنال
عنوان ژورنال: PLoS ONE
سال: 2009
ISSN: 1932-6203
DOI: 10.1371/journal.pone.0006969