Results 11 to 20 of about 10,934,305 (297)
The Cortex and the Critical Point [PDF]
, 2022 How the cerebral cortex operates near a critical phase transition point for optimum performance. Individual neurons have limited computational powers, but when they work together, it is almost like magic.
Beggs, John M.
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Deconfined Quantum Critical Points [PDF]
Science, 2004 The theory of second-order phase transitions is one of the foundations of modern statistical mechanics and condensed-matter theory. A central concept is the observable order parameter, whose nonzero average value characterizes one or more phases. At large distances and long times, fluctuations of the order parameter(s) are described by a continuum ...
Senthil, T. +4 more
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On a new critical point theorem and some applications to discrete equations [PDF]
Opuscula Mathematica, 2014 Using the Fenchel-Young duality we derive a new critical point theorem. We illustrate our results with solvability for certain discrete BVP. Multiple solutions are also considered.
Marek Galewski, Elżbieta Galewska
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Topology Rule-Based Methodology for Flow Separation Analysis in Turbomachinery
International Journal of Turbomachinery, Propulsion and Power, 2022 Boundary-layer flow separation is a common flow feature in many engineering applications. The consequences of flow separation in turbomachinery can be disastrous in terms of performance, stability and noise.
Pierre Duquesne +3 more
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Axioms, 2021 In this paper, by applying the abstract maximal element principle of Lin and Du, we present some new existence theorems related with critical point theorem, maximal element theorem, generalized Ekeland’s variational principle and common (fuzzy) fixed ...
Junjian Zhao, Wei-Shih Du
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QCD and the chiral critical point [PDF]
Physical Review D, 1994 As an extension of $QCD$, consider a theory with ``$2+1$'' flavors, where the current quark masses are held in a fixed ratio as the overall scale of the quark masses is varied. At nonzero temperature and baryon density it is expected that in the chiral limit the chiral phase transition is of first order.
Gavin, S., Gocksch, A., Pisarski, R. D.
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International Journal of Mathematics and Mathematical Sciences, 2002 Let H be a Hilbert space such that H=V⊕W, where V and W are two closed subspaces of H. We generalize an abstract theorem due to Lazer et al. (1975) and a theorem given by Moussaoui (1990-1991) to the case where V and W are not necessarily finite ...
H. Boukhrisse, M. Moussaoui
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Electronic Journal of Qualitative Theory of Differential Equations, 2016 By $Z_{2}$-index theory, the existence and multiplicity of solutions for some fourth-order boundary value problems $$ \begin{cases} u^{(4)}+au''=\mu u+F_{u}(t,u ...
Chengyue Li, Yuhan Wu
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The Assessment of Level of Flash Floods Threat of Urbanised Areas
Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, 2017 Flash floods (or torrential rain flooding) is another type of flood hazard which has caused casualties and significant property damages. A methodology for identification of urban areas, which can potentially be burdened by that type of flood hazard, was ...
Pavla Štěpánková +2 more
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Relative Critical Points [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 Relative equilibria of Lagrangian and Hamiltonian systems with symmetry are critical points of appropriate scalar functions parametrized by the Lie algebra (or its dual) of the symmetry group. Setting aside the structures - symplectic, Poisson, or variational - generating dynamical systems from such functions highlights the common features of their ...
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