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Mathematics of Operations Research, 2005 We study the properties of ultramodular functions, a class of functions that generalizes scalar convexity and that naturally arises in some economic and statistical applications.
MARINACCI, Massimo, MONTRUCCHIO, Luigi
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A functional functional interpretation
Proceedings of the Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 2014In this paper, we present a modern reformulation of the Dialectica interpretation based on the linearized version of de Paiva. Contrarily to Gödel's original translation which translated HA into system T, our presentation applies on untyped λ-terms and features nicer proof-theoretical properties.
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Physical Review A, 2010
We extend our prior work on the construction of variational wave functions $\ensuremath{\psi}$ that are functionals of functions $\ensuremath{\chi}:\ensuremath{\psi}=\ensuremath{\psi}[\ensuremath{\chi}]$ rather than simply being functions. In this manner, the space of variations is expanded over those of traditional variational wave functions.
Xiao-Yin Pan +2 more
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We extend our prior work on the construction of variational wave functions $\ensuremath{\psi}$ that are functionals of functions $\ensuremath{\chi}:\ensuremath{\psi}=\ensuremath{\psi}[\ensuremath{\chi}]$ rather than simply being functions. In this manner, the space of variations is expanded over those of traditional variational wave functions.
Xiao-Yin Pan +2 more
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Generating Functions for Ultraspherical Functions
Canadian Journal of Mathematics, 1968The ultraspherical function1.1for |1 — x| < 2 is a solution of the differential equation1.2This equation has two independent solutions; of the two, only Pn(λ)(x) is analytic at x = 1, aside for some special values of λ, which we shall not consider.
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Generating Functions for Hermite Functions
Canadian Journal of Mathematics, 1959Hermite's function Hn(x) is denned for all complex values of x and n bywhere F (α; γ; x) is Kummer's function with the customary indices omitted. It satisfies the differential equation1.1of whichis a second solution. Every solution of (1.1) is an entire function.
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Energy Requirements Undermine Substrate Independence and Mind-Body Functionalism
Philosophy of Science, 2022Paul Thagard
exaly
International functionalism and democracy
European Journal of International Relations, 2022Tobias Theiler
exaly
Latin American and Caribbean Regionalism during the Covid-19 Pandemic: Saved by Functionalism?
International Spectator, 2021Lorena Ruano
exaly