Recent theoretical advances predict the existence, deep into the glass phase, of a novel phase transition, the so-called Gardner transition. This transition is associated with the emergence of a complex free energy landscape composed of many marginally stable sub-basins within a glass metabasin. In this study, we explore several methods to detect numerically the Gardner transition in a simple s...

In this work the Gardner problem of inferring interactions and fields for an Ising neural network from given patterns under a local stability hypothesis is addressed under a dual perspective. By means of duality arguments an integer linear system is defined whose solution space is the dual of the Gardner space and whose solutions represent mutually unstable patterns. We propose and discuss Mont...

In [28] Rasin and Hydon suggested a way to construct an infinite number of conservation laws for the discrete KdV equation (dKdV), by repeated application of a certain symmetry to a known conservation law. It was not decided, however, whether the resulting conservation laws were distinct and nontrivial. In this paper we obtain the following results: (1) We give an alternative method to construc...

In this paper, we consider the derivation of the Kadomtsev-Petviashvili (KP) equation for cold ion-acoustic wave in the long wavelength limit of the two-dimensional quantum Euler-Poisson system, under different scalings for varying directions in the Gardner-Morikawa transform. It is shown that the types of the KP equation depend on the scaled quantum parameter H > 0. The QKP-I is derived for H ...

Localized accidental vaccinia of the vulva, although considered in detail by Humphrey (1963) and referred to by Gardner (Gardner and Kaufman, 1969), receives little attention in most of the contemporary textbooks of venereology. As it is unlikely that the virus can penetrate intact skin (Curth, Curth, and Garb, 1948), accidental vaccinia is assumed to follow the transfer of vaccine lymph to a s...

The exact traveling wave solutions of the nonlinear variable coefficients Burgers-Fisher equation and the generalized Gardner equation with forced terms can be found in this article using the generalized ( ′ G )-expansion method. As a result, hyperbolic, trigonometric and rational function solutions with parameters are obtained. When these parameters are taken special values, the solitary wave ...

The purpose of this thesis is to analyze the influence of Multiple Intelligences Theory on the process of acquiring a foreign language. MI theory developed by Howard Gardner (1983), says that every single individual possesses eight different types of intelligences: Linguistic, LogicalMathematical, Musical, Spatial, Bodily-Kinesthetic, Interpersonal, Intrapersonal, and Naturalist. It stands in o...