We construct a model complete and o-minimal expansion of the field of real numbers in which each real function given on [0, 1] by a series ∑ cnxn with 0 ≤ αn → ∞ and ∑ |cn|rαn < ∞ for some r > 1 is definable. This expansion is polynomially bounded.

Consider a sequence of n independent observations from a population of increasing size αi, i = 1,2,... and an absolutely continuous initial distribution function. The distribution of the kth record value is represented as a countable mixture, with mixing the distribution of the kth record time and mixed the distribution of the nth order statistic. Precisely, the distribution function and (pow...

Let Θ = C[e−x1 , . . . , e−xn ][∂1, . . . , ∂n] and S = C[x1, . . . , xn][[eCx1+···+Cxn ]], where C is an effective field and xN 1 · · · x N n e Cx1+···+Cxn and S are given a suitable asymptotic ordering 4. Consider the mapping L : S → Sl ; f 7→ (L1 f, . . . , Ll f ), where L1, . . . , Ll ∈ Θ . For g = (g1, . . . , gl ) ∈ Sl L = im L , it is natural to ask how to solve the system L f = g. In th...

Power series with rational exponents on the real numbers field and the Levi-Civita field are studied. We derive a radius of convergence for power series with rational exponents over the field of real numbers that depends on the coefficients and on the density of the exponents in the series. Then we generalize that result and study power series with rational exponents on the Levi-Civita field. A...

Let R be a commutative ring with identity and Mbe a unitary R-module. In this paper we generalize the conceptmultiplicatively closed subset of R and we study some propertiesof these genaralized subsets of M. Among the many results in thispaper, we generalize some well-known theorems about multiplicativelyclosed subsets of R to these generalized subsets of M. Alsowe show that some other well-kno...

We propose a new model that accounts for the asymmetric response of volatility to positive (‘good news’) and negative (‘bad news’) shocks in economic time series – the so-called leverage e ect. In the past, asymmetric powers of errors in the conditionally heteroskedastic models have been used to capture this e ect. Our model is using the gamma di erence representation of the generalized Laplace...

This paper presents efficiency analysis of the power buffering in common voltage bus systems. Operation of the power buffering is briefly described with the power control experiments. The efficiency measurement setup and performed measurements from the charging and discharging events of the ultracapacitor module with the dc-dc converter are presented. As a result, the efficiency map of the dc-d...

Intelligent power consumption detection device is an important part in Smart Home system, which can intelligent identification , positioning , tracking, monitoring and management the household electrical parameters, enabling users to keep abreast of household electricity consumption. This paper is mainly about the design of a Wireless Energy Consumption Detector (WECD) based on the Internet of ...

the combined effect of non-newtonian rheology and irreversible boundary reaction on dispersion in a herschel-bulkley fluid through a conduit (pipe/channel) is studied by using generalized dispersion model. the study explains the development of dispersive transport following the injection of a tracer in terms of three effective transport coefficients namely exchange, convective and dispersion co...