1,681 research outputs found
Sequences of binary irreducible polynomials
In this paper we construct an infinite sequence of binary irreducible
polynomials starting from any irreducible polynomial f_0 \in \F_2 [x]. If
is of degree , where is odd and is a
non-negative integer, after an initial finite sequence of polynomials with , the degree of is twice the degree
of for any .Comment: 7 pages, minor adjustment
Promoting urban and enviromental regeneration: a summary and comparison of two water projects
The Community Healthcare center as engine of urban and social regeneration. A post Covid-19 public space design. Health Citadel and Community center in Fiorenzuola d’Arda
Graphs associated with the map in finite fields of characteristic three
In this paper we study the structure of the graphs associated with the
iterations of the map over finite fields of characteristic
three.Comment: The definitions of the maps and have been slightly
modified in order to simplify the following discussion. 6 page
Symmetries of stochastic differential equations using Girsanov transformations
Aiming at enlarging the class of symmetries of an SDE, we introduce a family of stochastic transformations able to change also the underlying probability measure exploiting Girsanov Theorem and we provide new determining equations for the infinitesimal symmetries of the SDE. The well-defined subset of the previous class of measure transformations given by Doob transformations allows us to recover all the Lie point symmetries of the Kolmogorov equation associated with the SDE. This gives the first stochastic interpretation of all the deterministic symmetries of the Kolmogorov equation. The general theory is applied to some relevant stochastic models
Weak symmetries of stochastic differential equations driven by semimartingales with jumps
Stochastic symmetries and related invariance properties of \ufb01nite dimensional SDEs driven by
general c`adl`ag semimartingales taking values in Lie groups are de\ufb01ned and investigated. The
considered set of SDEs, \ufb01rst introduced by S. Cohen, includes a\ufb03ne and Marcus type SDEs as
well as smooth SDEs driven by L\ub4evy processes and iterated random maps. A natural extension to
this general setting of reduction and reconstruction theory for symmetric SDEs is provided. Our
theorems imply as special cases non trivial invariance results concerning a class of a\ufb03ne iterated
random maps as well as (weak) symmetries for numerical schemes (of Euler and Milstein type) for
Brownian motion driven SDEs
More than Just DNA – Tax, Welfare and the Family. An examination of the concept of family in the Tax Transfer system, with particular reference to family benefits
Architectures and Key Technical Challenges for 5G Systems Incorporating Satellites
Satellite Communication systems are a promising solution to extend and
complement terrestrial networks in unserved or under-served areas. This aspect
is reflected by recent commercial and standardisation endeavours. In
particular, 3GPP recently initiated a Study Item for New Radio-based, i.e., 5G,
Non-Terrestrial Networks aimed at deploying satellite systems either as a
stand-alone solution or as an integration to terrestrial networks in mobile
broadband and machine-type communication scenarios. However, typical satellite
channel impairments, as large path losses, delays, and Doppler shifts, pose
severe challenges to the realisation of a satellite-based NR network. In this
paper, based on the architecture options currently being discussed in the
standardisation fora, we discuss and assess the impact of the satellite channel
characteristics on the physical and Medium Access Control layers, both in terms
of transmitted waveforms and procedures for enhanced Mobile BroadBand (eMBB)
and NarrowBand-Internet of Things (NB-IoT) applications. The proposed analysis
shows that the main technical challenges are related to the PHY/MAC procedures,
in particular Random Access (RA), Timing Advance (TA), and Hybrid Automatic
Repeat reQuest (HARQ) and, depending on the considered service and
architecture, different solutions are proposed.Comment: Submitted to Transactions on Vehicular Technologies, April 201
Current surgical concepts and indications in the management of the short bowel state: A call for the use of multidisciplinary intestinal rehabilitation programs
The mainstay of management for short bowel syndrome (SBS) is to promote access to the best quality of care provided by the intestinal rehabilitation program (IRP) in specialized centres. When treating SBS patients, the main goal is to minimize disease-associated complications, as well as achieve enteral autonomy. Surgical strategies should be selected cautiously upon the actual state of the bowel with respect to what it is clinically relevant for that specific patient. To this aim, a personalized and multidisciplinary approach for such a complex syndrome is needed
Charge Management for Gravitational Wave Observatories using UV LEDs
Accumulation of electrical charge on the end mirrors of gravitational wave
observatories, such as the space-based LISA mission and ground-based LIGO
detectors, can become a source of noise limiting the sensitivity of such
detectors through electronic couplings to nearby surfaces. Torsion balances
provide an ideal means for testing gravitational wave technologies due to their
high sensitivity to small forces. Our torsion pendulum apparatus consists of a
movable Au-coated Cu plate brought near a Au-coated Si plate pendulum suspended
from a non-conducting quartz fiber. A UV LED located near the pendulum
photoejects electrons from the surface, and a UV LED driven electron gun
directs photoelectrons towards the pendulum surface. We have demonstrated both
charging and discharging of the pendulum with equivalent charging rates of
, as well as spectral measurements of the pendulum
charge resulting in a white noise level equivalent to .Comment: 5 pages, submitted to PR
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