8,747 research outputs found
On existence of canonical -bases
We describe a general method for expanding a truncated G-iterative
Hasse-Schmidt derivation, where G is an algebraic group. We give examples of
algebraic groups for which our method works
Existentially closed fields with G-derivations
We prove that the theories of fields with Hasse-Schmidt derivations
corresponding to actions of formal groups admit model companions. We also give
geometric axiomatizations of these model companions.Comment: In version 2: new proof of (the current) Proposition 3.3
A note on integrating group scheme actions
We prove a non-integrability result concerning iterative derivations on
projective line, where the iterative rule is given by a non-algebraic formal
group
The dawn of mathematical biology
In this paper I describe the early development of the so-called mathematical
biophysics, as conceived by Nicolas Rashevsky back in the 1920's, as well as
his latter idealization of a "relational biology". I also underline that the
creation of the journal "The Bulletin of Mathematical Biophysics" was
instrumental in legitimating the efforts of Rashevsky and his students, and I
finally argue that his pioneering efforts, while still largely unacknowledged,
were vital for the development of important scientific contributions, most
notably the McCulloch-Pitts model of neural networks.Comment: 9 pages, without figure
Integrating Hasse-Schmidt derivations
We study integrating (that is expanding to a Hasse-Schmidt derivation)
derivations, and more generally truncated Hasse-Schmidt derivations, satisfying
iterativity conditions given by formal group laws. Our results concern the
cases of the additive and the multiplicative group laws. We generalize a
theorem of Matsumura about integrating nilpotent derivations (such a
generalization is implicit in work of Ziegler) and we also generalize a theorem
of Tyc about integrating idempotent derivations
Erste Erkenntnisse zum ANFA-Abkommen: ANFA ermöglicht Finanzierung von Bankenabwicklungen durch nationale Zentralbanken
Anfang Februar 2016 veröffentlichte die EZB ein bis dato geheimes Abkommen namens ANFA. Das Abkommen über die Netto-Finanzanlagen ist ein privatrechtlicher Vertrag zwischen den 20 Mitgliedern des Eurosystems und legt diesen generelle Obergrenzen für ihre nicht geldpolitischen Bilanzaktivitäten auf. In seinem Kommentar legt Daniel Hoffmann nahe, dass das Abkommen den nationalen Zentralbanken erlaubt, Bankenabwicklungen zu finanzieren
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