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Do Design Metrics Capture Developers Perception of Quality? An Empirical Study on Self-Affirmed Refactoring ActivitiesJul 10 2019Background. Refactoring is a critical task in software maintenance and is generally performed to enforce the best design and implementation practices or to cope with design defects. Several studies attempted to detect refactoring activities through mining ... More

A Lévy-Khinchin Formula for the Space of Infinite Dimensional Square Complex MatricesFeb 13 2016Using a generalised Bochner type representation for Olshanski spherical pairs, we establish a L\'evy-Khinchin formula for the continuous functions of negative type on the space $V_\infty= M(\infty, \mathbb C)$ of infinite dimensional square complex matrices ... More

On functions of negative type on the Olshanski spherical pair $(SL(\infty),SU(\infty))$Jun 30 2016In this paper, using a generalized Bochner type representation for Olshanski spherical pairs, we prove the boundedness of every $SU(\infty)$-biinvariant continuous function of negative type on the infinite dimensional special linear group $SL(\infty)$. ... More

A Bochner Type Theorem for Inductive Limits of Gelfand PairsJan 18 2007Apr 30 2008In this paper we prove a generalisation of Bochner's theorem. Our result deals with Olshanski's spherical pairs defined as inductive limits of increasing sequences of Gelfand Pairs.

Asymptotic Harmonic Analysis on the Space of Square Complex MatricesJun 03 2008In this paper, we determine the spherical functions of positive type on the inductive limit space of square complex matrices.

Long time semiclassical Egorov theorem for $\hbar$-pseudodifferential systemsFeb 22 2016Oct 01 2016In the Heisenberg picture, we study the semiclassical time evolution of a bounded quantum observable $Q^w(x,\hbar D_x)$ associated to a $(m\times m)$ matrix-valued symbol $Q$ generated by a semiclassical matrix-valued Hamiltonian $H\sim H_0+\hbar H_1$. ... More

Pattern tree-based XOLAP rollup operator for XML complex hierarchiesFeb 04 2011With the rise of XML as a standard for representing business data, XML data warehousing appears as a suitable solution for decision-support applications. In this context, it is necessary to allow OLAP analyses on XML data cubes. Thus, XQuery extensions ... More

The role of near-field diffraction in photonic nanojet formationDec 06 2017Feb 27 2018In this paper, we show the photonic nanojet is the central bright maxima in focused near-field diffraction pattern. Using a simplified Huygens-Fresnel model, and using numerical simulations, we generate photonic nanojets from curved interfaces between ... More

A Novel Query-Based Approach for Addressing Summarizability Issues in XOLAPAug 30 2013The business intelligence and decision-support systems used in many application domains casually rely on data warehouses, which are decision-oriented data repositories modeled as multidimensional (MD) structures. MD structures help navigate data through ... More

Benchmarking Summarizability Processing in XML Warehouses with Complex HierarchiesAug 30 2013Business Intelligence plays an important role in decision making. Based on data warehouses and Online Analytical Processing, a business intelligence tool can be used to analyze complex data. Still, summarizability issues in data warehouses cause ineffective ... More

Semiclassical Trace Formula and Spectral Shift Function for Systems via a Stationary ApproachFeb 25 2017We establish a semiclassical trace formula in a general framework of microhyperbolic hermitian systems of $h$-pseudodifferential operators, and apply it to the study of the spectral shift function associated to a pair of selfadjoint Schr\"odinger operators ... More

Expressing OLAP operators with the TAX XML algebraSep 16 2008With the rise of XML as a standard for representing business data, XML data warehouses appear as suitable solutions for Web-based decision-support applications. In this context, it is necessary to allow OLAP analyses over XML data cubes (XOLAP). Thus, ... More

SensX: About Sensing and Assessment of Complex Human MotionMar 07 2017Nov 22 2017The great success of wearables and smartphone apps for provision of extensive physical workout instructions boosts a whole industry dealing with consumer oriented sensors and sports equipment. But with these opportunities there are also new challenges ... More

Pressure-induced densification of vitreous silica: insight from elastic propertiesJan 08 2019\textit{In situ} high-pressure Brillouin light scattering experiments along loading-unloading paths are used to investigate the compressibility of vitreous silica. An accurate equation of state is obtained below \SI{9}{GPa} using sound velocities corrected ... More

Pressure-induced densification of vitreous silica: insight from elastic propertiesJan 08 2019Apr 19 2019\textit{In situ} high-pressure Brillouin light scattering experiments along loading-unloading paths are used to investigate the compressibility of vitreous silica. An accurate equation of state is obtained below \SI{9}{GPa} using sound velocities corrected ... More

A minimal HIV-AIDS infection model with general incidence rate and application to Morocco dataDec 15 2018We study the global dynamics of a SICA infection model with general incidence rate. The proposed model is calibrated with cumulative cases of infection by HIV-AIDS in Morocco from 1986 to 2015. We first prove that our model is biologically and mathematically ... More