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The Gibbs Fundamental Relation as a Tool for Relativity [PDF]
EntropyWhen relativistic physics is lectured on, interest is focused on the behavior of mechanical and electromagnetic quantities during a reference frame change.
Friedrich Herrmann, Michael Pohlig
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Fundamental Relation for Gas of Interacting Particles in a Heat Flow [PDF]
Entropy, 2023 There is a long-standing question of whether it is possible to extend the formalism of equilibrium thermodynamics to the case of nonequilibrium systems in steady-states. We have made such an extension for an ideal gas in a heat flow.
Robert Hołyst +4 more
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Fundamental Relation for the Ideal Gas in the Gravitational Field and Heat Flow [PDF]
Entropy, 2023 We formulate the first law of global thermodynamics for stationary states of the ideal gas in the gravitational field subjected to heat flow. We map the non-uniform system (described by profiles of the density and temperature) onto the uniform one and ...
Robert Hołyst +4 more
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Fundamental Relation on HvBE-Algebras
Bulletin of the Section of Logic, 2023 In this paper, we are going to introduce a fundamental relation on \(H_{v}BE\)-algebra and investigate some of properties, also construct new \((H_{v})BE\)-algebras via this relation.
Farzad Iranmanesh +2 more
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The Case for the Fundamental MBH-σ Relation [PDF]
Frontiers in Physics, 2020 Strong scaling relations between host galaxy properties (such as stellar mass, bulge mass, luminosity, effective radius etc) and their nuclear supermassive black hole's mass point toward a close co-evolution.
Christopher Marsden +3 more
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A Fundamental Relation between Supermassive Black Holes and Their Host Galaxies [PDF]
, 2000 The masses of supermassive black holes correlate almost perfectly with the velocity dispersions of their host bulges, Mbh ∝ σα, where α = 4.8 ± 0.5. The relation is much tighter than the relation between Mbh and bulge luminosity, with a scatter no larger
Laura Ferrarese, David Merritt
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The fundamental relation between supermassive black holes and their host galaxies [PDF]
Monthly notices of the Royal Astronomical Society, 2019 We study the correlations between supermassive black holes (BHs) and their host galaxies, using a sample of 83 BH masses collected from the most recent and reliable spatially resolved estimates available from the literature.
Stefano de Nicola, A. Marconi, G. Longo
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Fundamental relation on m-idempotent hyperrings
Open Mathematics, 2017 The γ*-relation defined on a general hyperring R is the smallest strongly regular relation such that the quotient R/γ* is a ring. In this note we consider a particular class of hyperrings, where we define a new equivalence, called εm∗$\varepsilon^{*}_{m}
Norouzi Morteza, Cristea Irina
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Selection bias in dynamically measured supermassive black hole samples: its consequences and the quest for the most fundamental relation [PDF]
, 2016 We compare the set of local galaxies having dynamically measured black holes with a large, unbiased sample of galaxies extracted from the Sloan Digital Sky Survey.
Francesco Shankar +9 more
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The Fundamental k-Form and Global Relations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2008 In [Proc. Roy. Soc. London Ser. A 453 (1997), no. 1962, 1411-1443] A.S. Fokas introduced a novel method for solving a large class of boundary value problems associated with evolution equations.
Anthony C.L. Ashton
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