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Grobner bases for operads
Grobner bases operads
2015/3/25
We define a new monoidal category on collections (shuffle composition). Monoids in this category (shuffle operads) turn out to bring a new insight in the theory of symmetric operads. For this category...
Negative bases and automata
numeration system sofic system Pisot number automaton transducer
2011/3/3
We study expansions in non-integer negative base − introduced by Ito and Sadahiro. Using countable automata associated with (− )-expansions, we characterize the case where the (− )-...
Numerical treatment of long-range Coulomb potential with Berggren bases
Numerical treatment long-range Coulomb potential Berggren bases
2010/11/15
The Schrodinger equation incorporating long-range Coulomb potential takes the form of a Fredholm equation whose kernel is singular on its diagonal when represented by a basis bearing a continuum of st...