Results 31 to 40 of about 105,688 (202)
On Minkowski’s singular function [PDF]
Proceedings of the American Mathematical Society, 1987 The function f on the closed unit interval I to be considered here was introduced by Minkowski. It maps the algebraic irrationalities of degree at most 2 continuously to the rationals in I. If z = a/b and z' = c/d are (reduced) fractions, then we write z * z' for the mediant (a + c)/(b + d) and z z' for the arithmetic mean. Let Q denote the (dense) set
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A holographic reduction of Minkowski space-time [PDF]
, 2003 Minkowski space can be sliced, outside the lightcone, in terms of Euclidean Anti-de Sitter and Lorentzian de Sitter slices. In this paper we investigate what happens when we apply holography to each slice separately. This yields a dual description living
't Hooft +39 more
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Minkowski functional description of microwave background Gaussianity [PDF]
New Astronomy, 1998 A Gaussian distribution of cosmic microwave background temperature fluctuations is a generic prediction of inflation. Upcoming high-resolution maps of the microwave background will allow detailed tests of Gaussianity down to small angular scales, providing a crucial test of inflation. We propose Minkowski functionals as a calculational tool for testing
Winitzki, Serge, Kosowsky, Arthur
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PLoS ONE, 2019 ObjectivesThe extent of peritumoral tumor cell infiltrations in glioblastoma contributes to poor prognosis. We aimed to assess additive prognostic value of Minkowski functionals in analyzing heterogeneity of peritumoral hyperintensity on T2WI in ...
Yangsean Choi +7 more
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Bounds on negative energy densities in flat spacetime [PDF]
, 1998 We generalise results of Ford and Roman which place lower bounds -- known as quantum inequalities -- on the renormalised energy density of a quantum field averaged against a choice of sampling function. Ford and Roman derived their results for a specific
A. D. Helfer +16 more
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Minkowski–Lyapunov functions: Alternative characterization and implicit representation [PDF]
Automatica, 2022 An alternative characterization of Minkowski--Lyapunov functions is derived. The derived characterization enables a computationally efficient utilization of Minkowski--Lyapunov functions in arbitrary finite dimensions. Due to intrinsic duality, the developed results apply in a direct manner to the characterization and utilization of robust positively ...
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Journal of Rock Mechanics and Geotechnical Engineering, 2023 A method for packing irregular particles with a prescribed volume fraction is proposed. Furthermore, the generated granular material adheres to the prescribed statistical distribution and satisfies the desired complex spatial arrangement.
Libing Du +3 more
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The General Warped Solution with Conical Branes in Six-dimensional Supergravity [PDF]
, 2005 We present the general regular warped solution with 4D Minkowski spacetime in six-dimensional gauged supergravity. In this framework, we can easily embed multiple conical branes into the warped geometry by choosing an undetermined holomorphic function ...
A. Falkowski +12 more
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Connections between Minkowski and cosmological correlation functions [PDF]
Journal of Cosmology and Astroparticle Physics, 2018 19 pages, 2 ...
Chu, Shek Kit +5 more
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Path length distribution in two-dimensional causal sets
European Physical Journal C: Particles and Fields, 2018 We study the distribution of maximal-chain lengths between two elements of a causal set and its relationship with the embeddability of the causal set in a region of flat spacetime.
M. Aghili, L. Bombelli, B. B. Pilgrim
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