−βθ div ut , has been derived and existence of global strong solutions in 3D for the isothermal case has been proved in [1]. Existence for the full system under suitable hypotheses is proved in [2]. The unknowns are u (displacement of the solid matrix), p (capillary pressure), and θ (absolute temperature). The system contains four hysteresis operators: The degenerate Preisach operator G describ...

abstract background: the increase in breast cancer incidence has enhanced attention towards breast cancer risk. the aim of this study was to determine the risk of breast cancer and risk perception of women, factors that affect risk perception, and to determine differences between absolute risk and the perception of risk. methods: this cross-sectional study was carried out among 346 women whose ...

Non-existence is proved of certain continuous irreducible mod p representations of degree 2 of the absolute Galois group of the rational number field. This extends previously known results, the improvement based on a refinement of Tate’s discriminant bound. 2000 Mathematics Subject Classification: 11F80, 11R29, 11R39

We consider a Ginzburg-Landau type phase-transition model driven by a p-Laplacian type equation. We prove density estimates for absolute minimizers and we deduce the uniform convergence of level sets and the existence of plane-like minimizers in periodic media.

Various questions about adjoints, absolute values and polar decompositions of operators are addressed from a constructive point of view. The focus is on bilinear forms. Conditions are given for the existence of an adjoint, and a general notion of a polar decomposition is developed. The Riesz representation theorem is proved without countable choice.

We rationalize the thermodynamics behind the guest-induced structural transitions of hybrid material MIL-53, showing that the existence of a double transition depends on the relative guest affinities for the two phases, rather than absolute adsorption enthalpies. Based on a simple model, we interpret recent experimental data on alkane adsorption and predict transition pressures.

Based on Tongji Games Corpus, this study analyzes acoustic-prosodic entrainment in Mandarin conversations. Analyses have been accomplished at the levels of conversation, turn, and tone unit. Absolute entrainment in prosody is found at the levels of conversation and turn, and relative entrainment is found over tones. Therefore, this study identifies evidence for the existence of two kinds of ent...

The dynamical analysis of a novel multilayered recurrent neural network (MRNN) is addressed in this paper. The dynamics of the MRNN are represented by a multi-input and multi-output nonlinear difference equation. The existence and stability of the equilibrium points of the MRNN are then discussed, and sufficient conditions of absolute stable are derived.

In the random deletion channel, each bit is deleted independently with probability p. For the random deletion channel, the existence of codes of rate (1− p)/9, and thus bounded away from 0 for any p < 1, has been known. We give an explicit constructionwith polynomial time encoding and deletion correction algorithms with rate c0(1 − p) for an absolute constant c0 > 0.

In this paper after algebraical and geometrical preliminaries we present a Gram–Schmidt-type algorithmical conjecture, which if true settles the long-standing Hadamard conjecture concerning the existence of orthogonal matrices with elements of the same absolute value. Mathematics Subject Classifications (2000). 90C22, 90C27, 05B20.