Kolmogorov famously proved in [6] that multivariate continuous functions can be represented as a superposition of a small number of univariate continuous functions, f(x1, . . . , xn) = 2n+1

An operational measure to quantify the sizes of some “macroscopic quantum superpositions”, realized in recent experiments, is proposed. The measure is based on the fact that a superposition presents greater sensitivity in interferometric applications than its superposed constituent states. This enhanced sensitivity, or “interference utility”, may then be used as a size criterion among superposi...

Interest in data fusion techniques have been growing in recent years due to the belief that a single NDE measurement may often be inadequate for providing sufficient information about the state of a test specimen. A variety of data fusion approaches have been proposed for combining results obtained by different methods, as well as different sensors, to provide comprehensive information about th...

Superposition is a mapping on point configurations that sends the n-tuple (x1, . . . , xn) ∈ X into the n-point configuration {x1, . . . , xn} ⊂ X , counted with multiplicity. It is an additive set operation such the superposition of a k-point configuration in X is a kn-point configuration in X . A Poisson superposition process is the superposition in X of a Poisson process in the space of fini...

The modern telecommunications field is concerned with freedom and, in this context, hands-free systems offer subscribers the possibility of talking more naturally, without using a handset. This new type of use leads to new problems which were negligible in traditional telephony, namely the superposition of noise and echo on the speech signal. To solve these problems and provide a quality that i...

This paper describes our experimental testing of linear viscoelastic creep behaviours in HamiMelon. Experimental data shows that HamiMelon has complex viscoelastic property which cannot be well described by the standard model. Consequently, this study develops a fractional derivative model to describe such complex viscoelastic creep behaviours of Hami Melon. The analytical creep function of the...

We modify Bezem’s [Be] completeness proof for ground resolution in order to deal with ordered resolution, redundancy, and equational reasoning in form of superposition. The resulting proof is completely independent of the cardinality of the set of clauses.

Recently we have shown that the observed knee structure is reproduced well by a superposition of the hypothetical extragalactic cosmic rays modulated by the galactic wind and the galactic cosmic rays originating in supernova remnants. We reexamine this model assuming the chemical composition of the hypothetical extragalactic cosmic rays is the same as that of the galactic cosmic rays of superno...