Results 51 to 60 of about 4,092,683 (376)
Hamilton geometry: Phase space geometry from modified dispersion relations [PDF]
, 2015 We describe the Hamilton geometry of the phase space of particles whose motion is characterised by general dispersion relations. In this framework spacetime and momentum space are naturally curved and intertwined, allowing for a simultaneous description ...
Barcaroli, Leonardo +4 more
core +3 more sources
, 2004 We extend vector formalism by including it in the algebra of split octonions, which we treat as the universal algebra to describe physical signals. The new geometrical interpretation of the products of octonionic basis units is presented.
Gogberashvili, Merab
core +1 more source
Solving olympiad geometry without human demonstrations
The NaturalistProving mathematical theorems at the olympiad level represents a notable milestone in human-level automated reasoning1–4, owing to their reputed difficulty among the world’s best talents in pre-university mathematics. Current machine-learning approaches,
Trieu H. Trinh +4 more
semanticscholar +1 more source
Dynamics of a Modified Sprott A System [PDF]
ITM Web of ConferencesWe examine a modified Sprott A system, one of the 17 chaotic systems without equilibria introduced by Jafari, Sprott, and Golpayegani (2013). For specific parameter values, the modified system exhibits invariant spheres.
Rohman Muhammad Nuur +2 more
doaj +1 more source
Smart Topology Optimization Using Adaptive Neighborhood Simulated Annealing
Applied Sciences, 2021 Topology optimization (TO) of engineering products is an important design task to maximize performance and efficiency, which can be divided into two main categories of gradient-based and non-gradient-based methods.
Hossein R. Najafabadi +5 more
doaj +1 more source
Handbook of Data Structures and Applications, 2018 This report documents the program and the outcomes of the Dagstuhl Seminar 23221 “Computa-tional Geometry”.
Mark de Berg, Bettina Speckmann
semanticscholar +1 more source
The Page curve of Hawking radiation from semiclassical geometry [PDF]
Journal of High Energy Physics, 2019 We consider a gravity theory coupled to matter, where the matter has a higher-dimensional holographic dual. In such a theory, finding quantum extremal surfaces becomes equivalent to finding the RT/HRT surfaces in the higher-dimensional theory. Using this
Ahmed Almheiri +3 more
semanticscholar +1 more source
Geometry in Transition: A Model of Emergent Geometry [PDF]
Physical Review Letters, 2008 We study a three matrix model with global SO(3) symmetry containing at most quartic powers of the matrices. We find an exotic line of discontinuous transitions with a jump in the entropy, characteristic of a 1st order transition, yet with divergent critical fluctuations and a divergent specific heat with critical exponent $ =1/2$.
Delgadillo-Blando, Rodrigo +2 more
openaire +3 more sources
Boundedness of a Kantorovich type of the Szász-Mirakjan Operator [PDF]
ITM Web of ConferencesLet Bn f represent the n-th Bernstein polynomial for f for each n ϵ ℕ and f ϵ C ([0, 1]) . Then for any f ϵ C ([0, 1]), the sequence {Bn f} converges uniformly to f.
Neswan Oki +3 more
doaj +1 more source