Results 1 to 10 of about 1,528,060 (193)

Phase boundaries and the Widom line from the Ruppeiner geometry of fluids [PDF]

, 2022
Karlo de Leon, Ian Vega
openalex   +2 more sources

On organizing principles of Discrete Differential Geometry. Geometry of spheres

, 2006
Discrete differential geometry aims to develop discrete equivalents of the geometric notions and methods of classical differential geometry. In this survey we discuss the following two fundamental Discretization Principles: the transformation group ...
Bobenko, Alexander I., Suris, Yuri B.
core   +2 more sources

Improved Neural Networks Based on Mutual Information via Information Geometry

Algorithms, 2019
This paper presents a new algorithm based on the theory of mutual information and information geometry. This algorithm places emphasis on adaptive mutual information estimation and maximum likelihood estimation.
Meng Wang, Chuang-Bai Xiao, Zhen-Hu Ning, Jing Yu, Ya-Hao Zhang, Jin Pang   +5 more
doaj   +1 more source

Complex Line Bundles over Simplicial Complexes and their Applications [PDF]

, 2016
Discrete vector bundles are important in Physics and recently found remarkable applications in Computer Graphics. This article approaches discrete bundles from the viewpoint of Discrete Differential Geometry, including a complete classification of ...
C Kreft, H Seifert, J Avron, K Morrison, K Sasaki, R Bott, S Christiansen, S Kobayashi, T Halvorsen   +8 more
core   +3 more sources

Physics-based surge point identification for unsupervised CFD-computation of centrifugal compressor speed lines

Energy Conversion and Management: X, 2023
We present a speed line calculation model using physics-based surge point identification. When using surrogate model-based design of experiment (DOE) techniques, the large number of computations demands an automated, unsupervised process to calculate the
Yannick Lattner, Marius Geller, Michael Kutz   +2 more
doaj   +1 more source

Discrete asymptotic nets and W-congruences in Plucker line geometry

, 2000
The asymptotic lattices and their transformations are studied within the line geometry approach. It is shown that the discrete asymptotic nets are represented by isotropic congruences in the Plucker quadric.
Adam Doliwa, Bobenko, Bogdanov, Doliwa, Doliwa, Doliwa, Doliwa, Doliwa, Doliwa, Ernst, Ganzha, Hirota, Hirota, Klein, Konopelchenko, Konopelchenko, Krichever, Lelieuvre, Levi, Levi, Mañas, Moutard, Nimmo, Plebański, Plücker, Schief   +25 more
core   +1 more source

Pattern Formation and Tropical Geometry

Frontiers in Physics, 2020
Sandpile models exhibit fascinating pattern structures: patches, characterized by quadratic functions, and line-shaped patterns (also called solitons, webs, or linear defects).
Nikita Kalinin, Nikita Kalinin
doaj   +1 more source

On the continuity of Weil-Petersson volumes of the moduli space weighted points on the projective line

Complex Manifolds, 2022
In this work we show that the Weil-Petersson volume (which coincides with the CM degree) in the case of weighted points in the projective line is continuous when approaching the Calabi-Yau geometry from the Fano geometry. More specifically, the CM volume
Tambasco Salvatore
doaj   +1 more source

Infrared spectroscopy of NGC 1068: Probing the obscured ionizing AGN continuum [PDF]

, 1998
The ISO-SWS 2.5-45 um infrared spectroscopic observations of the nucleus of the Seyfert 2 galaxy NGC 1068 (see companion paper) are combined with a compilation of UV to IR narrow emission line data to determine the spectral energy distribution (SED) of ...
Amiel Sternberg, Antonucci R., Binette L., Binette L., Binette L., Boksenberg A., Brinkmann W., Brunner H., Butler K., Dieter Lutz, Eckhard Sturm, Erkens U., Galavis M. E., Hagai Netzer, Halpern J. P., Kormendy J., Lennon D. J., Lutz D., Lutz D., Malkan M. A., Marconi A., Mendoza C., Moorwood A. F. M., Moorwood A. F. M., Netzer H., Oliva E., Oliva E., Oliva E., Osterbrock D. E., Pedlar A., Pedlar A., Penston M. V., Penston M. V., Penston M. V., Perez E., Pottasch S. R., Puchnarewicz E. M., Reconditi M., Reinhard Genzel, Robinson A., Roche P. F., Schulz H., Schulz H., Seaton M. J., Shakura N. I., Storchi-Bergmann Th., Tal Alexander, Viegas S. M., Walter R., Walter R., Wu C.-C., Yoshida M.   +51 more
core   +5 more sources

Correspondences between convex geometry and complex geometry [PDF]

Épijournal de Géométrie Algébrique, 2017
We present several analogies between convex geometry and the theory of holomorphic line bundles on smooth projective varieties or K\"ahler manifolds. We study the relation between positive products and mixed volumes.
Brian Lehmann, Jian Xiao
doaj   +1 more source