Results 11 to 20 of about 52,233 (277)

Mirror Descent and Exponentiated Gradient Algorithms Using Trace-Form Entropies [PDF]

Entropy
This 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, Toshihisa Tanaka, Frank Nielsen, Sergio Cruces   +3 more
doaj   +2 more sources

KdV-charged black holes

Journal of High Energy Physics, 2020
We construct black hole geometries in AdS3 with non-trivial values of KdV charges. The black holes are holographically dual to quantum KdV Generalized Gibbs Ensemble in 2d CFT.
Anatoly Dymarsky, Sotaro Sugishita
doaj   +1 more source

SMARANDACHE FUNCTION JOURNAL, 1 [PDF]

, 1990
This journal is yearly published (in the Spring or Fall) in a 300-400 pages volume, and 800-1000 copies. SNJ is a referred journal: reviewed, indexed, cited, concerning any of Smarandache type functions, numbers, sequences, integer algorithms, paradoxes,
Tabirca, Sabin, Tabirca, Tatiana
core   +1 more source

Non-Euclidean Geometry [PDF]

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
  +5 more sources

Riemann’s Philosophy of Geometry and Kant’s Pure Intuition [PDF]

Organon F
The aim of this paper is twofold: first to explicate how Riemann’s philosophy of geometry is organized around the concept of manifold. Second, to argue that Riemann’s philosophy of geometry does not dismiss Kant’s spatial intuition.
Dinçer Çevik
doaj   +1 more source

Experience and Universal Judgements: William Kingdon Clifford and Non-Euclidean Geometries

Revue LISA, 2009
La pensée de W. K. Clifford se distingue par un questionnement radical de la valeur de la connaissance humaine. Fondée sur une doctrine exclusivement empiriste, elle n’adhère cependant pas pleinement aux conceptions de l’expérience alors défendues par ...
Christophe Duvey
doaj   +1 more source

Chasing Poincaré: Reflections on Interdisciplinary Research and Historiography

Philosophia Scientiæ, 2023
I will present two examples of influential (and incorrect) interpretations of Poincaré, pinpointing their errors and documenting some of their diffusion.
David J. Stump
doaj   +1 more source

SMARANDACHE FUNCTION JOURNAL, 2-3 [PDF]

, 1993
This journal is yearly published (in the Spring or Fall) in a 300-400 pages volume, and 800-1000 copies. SNJ is a referred journal: reviewed, indexed, cited, concerning any of Smarandache type functions, numbers, sequences, integer algorithms, paradoxes,
Tabirca, Sabin, Tabirca, Tatiana
core   +1 more source

Lecciones epistemológicas de la historia de la geometría

Cuestiones de Filosofía, 2012
El recorrido histórico sobre la creación de las geometrías no euclidianas, es decisivo para juzgar los criterios que la epistemología ha planteado en el problema de la validez de los enunciados de las ciencias formales, así como con respecto al ...
Carlos Arturo Londoño Ramos, Blanca Inés Prada Márquez
doaj   +1 more source

The fourth dimension: from its spatial nature in Euclidean geometry to a time-like component of non-Euclidean manifolds [PDF]

Revista Brasileira de Ensino de Física
In this article, the evolution of the ideas about the fourth spatial dimension is presented, starting from those which come out within classical Euclidean geometry and going through those arose in the framework of non-Euclidean geometries, like those of ...
José Maria Filardo Bassalo, Francisco Caruso, Vitor Oguri   +2 more
doaj   +3 more sources