Results 11 to 20 of about 10,435,760 (324)
Mirror Descent and Exponentiated Gradient Algorithms Using Trace-Form Entropies [PDF]
EntropyThis paper introduces a broad class of Mirror Descent (MD) and Generalized Exponentiated Gradient (GEG) algorithms derived from trace-form entropies defined via deformed logarithms. Leveraging these generalized entropies yields MD and GEG algorithms with
Andrzej Cichocki +3 more
doaj +2 more sources
Discrete 2D Material Programming for 3D Shaping and Morphogenesis-Inspired 4D Bioprinting. [PDF]
Adv Sci (Weinh)Cell‐compatible discrete 2D material programming enables 2‐to‐3D shape transformation and morphogenesis‐inspired 4D bioprinting. By patterning cell‐supportive microdomains within a responsive hydrogel, the approach programs in‐plane growth to encode target metrics.
Family F, Davuluri A, Martin A, Yum K.
europepmc +2 more sources
Integrable quadratic Hamiltonians on the Euclidean group of motions [PDF]
, 2010 In this paper, we discuss the problem of globally computing sub-Riemannian curves on the Euclidean group of motions SE(3). In particular, we derive a global result for special sub-Riemannian curves whose Hamiltonian satisfies a particular condition.
Biggs, James +7 more
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Quadratic Hamiltonians on non-Euclidean spaces of arbitrary constant curvature [PDF]
, 2013 This paper derives explicit solutions for Riemannian and sub-Riemannian curves on non-Euclidean spaces of arbitrary constant cross-sectional curvature.
Biggs, James
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HERBRAND’S THEOREM AND NON-EUCLIDEAN GEOMETRY [PDF]
The Bulletin of Symbolic Logic, 2015 AbstractWe use Herbrand’s theorem to give a new proof that Euclid’s parallel axiom is not derivable from the other axioms of first-order Euclidean geometry. Previous proofs involve constructing models of non-Euclidean geometry. This proof uses a very old and basic theorem of logic together with some simple properties of ruler-and-compass constructions ...
Beeson, Michael +2 more
openaire +5 more sources
On the Euclidean action of de Sitter black holes and constrained instantons
SciPost Physics, 2023 We compute the on-shell Euclidean action of Schwarzschild-de Sitter black holes, and take their contributions in the gravitational path integral into account using the formalism of constrained instantons.
Edward K. Morvan, Jan Pieter van der Schaar, Manus R. Visser
doaj +1 more source
Generalized Thomson problem in arbitrary dimensions and non-euclidean geometries [PDF]
, 2013 Systems of identical particles with equal charge are studied under a special type of confinement. These classical particles are free to move inside some convex region S and on the boundary of it Ω (the Sd−1−sphere, in our case).
J. Batle +3 more
semanticscholar +1 more source
Nature, 1911 As many mathematicians give very little thought to the theory of sets, it is perhaps worth while dwelling for moment on Dr. Sommerville's possibly misleading remarks in NATURE of October 5. He, quite correctly, points out the one-one correspondence between the aggregates of integral numbers 1, 2, 3, &c. (n), and even numbers 2, 4, 6, &c. (2n). Thus the
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Pseudo-manifold geometries with applications [PDF]
, 2006 A Smarandache geometry is a geometry which has at least one Smarandachely denied axiom(1969), i.e., an axiom behaves in at least two different ways within the same space, i.e., validated and invalided, or only invalided but in multiple distinct ways and ...
Mao, Linfan, Linfan Mao
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International Journal of Mathematical Combinatorics, Vol.7A [PDF]
, 2013 The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
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