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A FURTHER GENERALIZATION OF APOSTOL-BERNOULLI POLYNOMIALS AND RELATED POLYNOMIALS
Tremblay, R.,Gaboury, S.,Fugere, J. The Honam Mathematical Society 2012 호남수학학술지 Vol.34 No.3
The purpose of this paper is to introduce and investigate two new classes of generalized Bernoulli and Apostol-Bernoulli polynomials based on the definition given recently by the authors [29]. In particular, we obtain a new addition formula for the new class of the generalized Bernoulli polynomials. We also give an extension and some analogues of the Srivastava-Pint$\acute{e}$r addition theorem [28] for both classes. Finally, by making use of the new adition formula, we exhibit several interesting relationships between generalized Bernoulli polynomials and other polynomials or special functions.
Tremblay, R.,Chen, L.,Tirca, L. Council on Tall Building and Urban Habitat Korea 2014 International journal of high-rise buildings Vol.3 No.1
The tied braced frame (TBF) system was developed to achieve uniform seismic inelastic demand along the height of multi-storey eccentrically braced steel frames. A modular tied braced frame (M-TBF) configuration has been recently proposed to reach the same objective while reducing the large axial force demand imposed on the vertical tie members connecting the link beams together in TBFs. M-TBFs may however experience variations in storey drifts at levels where the ties have been removed to form the modules. In this paper, the possibility of reducing the discontinuity in displacement response of a 16-storey M-TBF structure by introducing energy dissipating (ED) devices between the modules is examined. Two M-TBF configurations are investigated: an M-TBF with two 8-storey modules and an M-TBF with four 4-storey modules. Three types of ED devices are studied: friction dampers (FD), buckling restrained bracing (BRB) members and self-centering energy dissipative (SCED) members. The ED devices were sized such that no additional force demand was imposed on the discontinuous tie members. Nonlinear response history analysis showed that all three ED systems can be used to reduce discontinuities in storey drifts of M-TBFs. The BRB members experienced the smallest peak deformations whereas minimum residual deformations were obtained with the SCED devices.
R. Tremblay,C.A.Rogers 한국강구조학회 2005 International Journal of Steel Structures Vol.5 No.1
investigated. Several design strategies are examined including: design without a capacity based approach, capacity design withductile bracing components, and capacity design assuming the cold-formed steel roof diaphragm acts as the main energydisipation element in the seismic force resisting system. The effects of relaxing the period limitations and the capacity designforces for the roof diaphragm are also investigated. A building example is studied to illustrate the various design proceduresstrategies on the cost of the seismic force resisting systems. The building geometry, the seismic hazard level, the bracingconfiguration and the level of ductility are varied in this study. The results show that capacity design provisions have asignificant impact on the structure, especially when tension-compression bracing is used. Substantial savings could be realizedwith the use of a period obtained from methods of mechanics that incorporate diaphragm flexibility. Additional solutions fordiaphragm forces or selecting the diaphragm as the main energy disipating system.
Total Transit Time and Probiotic Persistence in Healthy Adults: A Pilot Study
Annie Tremblay,Jeremie Auger,Zainab Alyousif,Sara E Caballero Calero,Olivier Mathieu,Daniela Rivero-Mendoza,Amal Elmaoui,Wendy J Dahl,Thomas A Tompkins 대한소화기 기능성질환∙운동학회 2023 Journal of Neurogastroenterology and Motility (JNM Vol.29 No.2
Background/AimsMotility, stool characteristics, and microbiota composition are expected to modulate probiotics’ passage through the gut but their effects on persistence after intake cessation remain uncharacterized. This pilot, open-label study aims at characterizing probiotic fecal detection parameters (onset, persistence, and duration) and their relationship with whole gut transit time (WGTT). Correlations with fecal microbiota composition are also explored. MethodsThirty healthy adults (30.4 ± 13.3 years) received a probiotic (30 × 109 CFU/capsule/day, 2 weeks; containing Lactobacillus helveticus R0052, Lacticaseibacillus paracasei HA-108, Bifidobacterium breve HA-129, Bifidobacterium longum R0175, and Streptococcus thermophilus HA-110). Probiotic intake was flanked by 4-week washout periods, with 18 stool collections throughout the study. WGTT was measured using 80% recovery of radio-opaque markers. ResultsTested strains were detected in feces ~1-2 days after first intake and persistence after intake cessation was not significantly different for R0052, HA-108, and HA-129 (~3-6 days). We identified 3 WGTT subgroups within this population (named Fast, Intermediate, and Slow), which could be classified by machine learning with high accuracy based on differentially abundant taxa. On average, R0175 persisted significantly longer in the intermediate WGTT subgroup (~8.5 days), which was mainly due to 6 of the 13 Intermediate participants for whom R0175 persisted ≥ 15 days. Machine learning classified these 13 participants according to their WGTT cluster (≥ 15 days or < 5 days) with high accuracy, highlighting differentially abundant taxa potentially associated with R0175 persistence. ConclusionThese results support the notion that host-specific parameters such as WGTT and microbiota composition should be considered when designing studies involving probiotics, especially for the optimization of washout duration in crossover studies but also for the definition of enrollment criteria or supplementation regimen in specific populations.
Gaboury, Sebastien,Tremblay, Richard Korean Mathematical Society 2014 대한수학회보 Vol.51 No.3
In this paper, we obtain new generating functions involving families of pairs of inverse functions by using a generalization of the Srivastava's theorem [H. M. Srivastava, Some generalizations of Carlitz's theorem, Pacific J. Math. 85 (1979), 471-477] obtained by Tremblay and Fug$\grave{e}$ere [Generating functions related to pairs of inverse functions, Transform methods and special functions, Varna '96, Bulgarian Acad. Sci., Sofia (1998), 484-495]. Special cases are given. These can be seen as generalizations of the generalized Bernoulli polynomials and the generalized degenerate Bernoulli polynomials.
Sebastien Gaboury,Richard Tremblay 대한수학회 2014 대한수학회보 Vol.51 No.3
In this paper, we obtain new generating functions involving families of pairs of inverse functions by using a generalization of the Srivastava’s theorem [H. M. Srivastava, Some generalizations of Carlitz’s theorem, Pacific J. Math. 85 (1979), 471–477] obtained by Tremblay and Fug`ere [Generating functions related to pairs of inverse functions, Transform methods and special functions, Varna ’96, Bulgarian Acad. Sci., Sofia (1998), 484–495]. Special cases are given. These can be seen as generalizations of the generalized Bernoulli polynomials and the generalized degenerate Bernoulli polynomials.
SYMMETRY PROPERTIES FOR A UNIFIED CLASS OF POLYNOMIALS ATTACHED TO χ
Gaboury, S.,Tremblay, R.,Fugere, J. The Korean Society for Computational and Applied M 2013 Journal of applied mathematics & informatics Vol.31 No.1
In this paper, we obtain some generalized symmetry identities involving a unified class of polynomials related to the generalized Bernoulli, Euler and Genocchi polynomials of higher-order attached to a Dirichlet character. In particular, we prove a relation between a generalized X version of the power sum polynomials and this unified class of polynomials.
Finite strip analysis of a box girder simulating the hull of a ship
Akhras, G.,Tremblay, J.P.,Graham, T.,Cheung, M.S.,Li, W.C. Techno-Press 2003 Structural Engineering and Mechanics, An Int'l Jou Vol.15 No.2
In the present study, the finite strip analysis of a box girder to simulate a ship's hull model is carried out to investigate its inelastic post-buckling behavior and to predict its ultimate flexural strength. Residual stresses and initial geometrical imperfections are both considered in the combined material and geometrical nonlinear analysis. The von-Mises yield criterion and the Prandtl-Reuss flow theory of plasticity are applied in modeling the elasto-plastic behavior of material. The Newton-Raphson iterative process is also employed in the analysis to achieve convergence. The numerical results agree well with the experimental data. The effects of some material and geometrical parameters on the ultimate strength of the structure are also investigated.
Some explicit formulas for certain new classes of Bernoulli, Euler and Genocchi polynomials
S. Gaboury,R. Tremblay,B-J Fugere 장전수학회 2014 Proceedings of the Jangjeon mathematical society Vol.17 No.1
Some explicit formulas for certain new classes of Bernoulli, Euler and Genocchi polynomials