It is argued that, based on a new analysis of two-body systems, wave function realism seems to imply an unique ontological interpretation of the wave function, according to which the wave function represents the state of random discontinuous motion of particles, and in particular, its modulus square gives the probability density of the particles appearing in certain positions in space. The wave...

A novel measurement system, the multi-functional Tribological Probe Microscope (TPM), has been developed to provide multi-function measurements of surface and surface properties. These properties are topography, friction, Young’s modulus, and nano-hardness. They are measured, point-by-point, in a single scan set up. The four function maps of surface topography, friction, hardness and Young’s mo...

It is well known that the Ackermann function can be defined via diagonalization from an iteration hierarchy (of Grzegorczyk type) which is built on a start function like the successor function. In this paper we study for a given start function g iteration hierarchies with a sublinear modulus h of iteration. In terms of g and h we classify the phase transition for the resulting diagonal function...

in the current paper, finite element method is employed for numerical simulations and the study of influential parameters on elastic modulus of polymer-matrix nano-composites. effects of different key parameters including particle elastic modulus, interphase elastic modulus, matrix elastic modulus, interphase thickness and particle volume fraction on total elastic modulus of nano-composite mate...

in this research, a braiding-pultrusion production line is developed by modifying a conventional textile maypole braiding machine and adding it to a pultrusion line for production of braid-pultruded (bp) composite rods. in order to evaluate the mechanical properties of bp rods and study the effect of some braiding parameters, they were produced with different braid roving linear densities and b...

In this paper we describe two numerical methods by which the relaxation modulus and memory function of a polymer can be determined from a set of discrete linear viscoelastic storage and loss moduli measurements. The first method involves expressing the linear viscoelastic data by means of a rational function (with certain constraints) and then taking the Laplace transform of that function. The ...

The three fundamental properties of the Bernoulli numbers, namely, the theorem of von Staudt-Clausen, von Staudt’s second theorem, and Kummer’s original congruence, are generalized to new numbers that we call generalized Bernoulli-Hurwitz numbers. These are coefficients of power series expansion of a higher genus algebraic function with respect to suitable variable. Our generalization strongly ...

A variable step-size control by error power was proposed to improve the performance of adaptive constant modulus blind equalization algorithm based on the analysis of the cost function. In the Constant Modulus Algorithm (CMA), large step-size can achieve faster convergence rate, but the steady-state residual error is big, on the contrary, small step-size can achieve higher convergence precision...

We extend the traditional worst-case, minimax analysis of stochastic convex optimization by introducing a localized form of minimax complexity for individual functions. Our main result gives function-specific lower and upper bounds on the number of stochastic subgradient evaluations needed to optimize either the function or its “hardest local alternative” to a given numerical precision. The bou...

Despite the success of elastography in grading hepatic fibrosis by stiffness related noninvasive markers the relationship between viscoelastic constants in the liver and tissue structure remains unclear. We therefore studied the mechanical properties of 16 human liver specimens with different degrees of fibrosis, inflammation and steatosis by wideband magnetic resonance elastography (MRE) and s...