We establish an algebraic version of the classical result that a G-map f between G-complexes which restricts to a homotopy equivalence fH on H-fixed sets for all subgroups H of G is a G-homotopy equivalence. This is used to give an alternative proof of a theorem of Bouc. We also include a number of illustrations and applications.

This survey paper gives an overview of the recent classification of all endopermutation kP -modules, where P is a finite p-group and k is a field of characteristic p. It is an expanded version of two talks given in April 2005 during a special workshop on endo-permutation modules, organized within the program of the Bernoulli Centre of EPFL. The classification of endo-permutation modules was com...

In this paper, the effect of mathematical representation method of an MR damper on the performance of control algorithm is investigated. The most exact and common Maxwel Nonlinear Slider (MNS) and modified Bouc-Wen hysteretic models are employed through a nonlinear  comparatve numerical study. In many of semi-active control algorithms, a mathematical modelling method is required for determinig ...

A striking result of Bouc gives the decomposition of the representation of the symmetric group on the homology of the matching complex into irreducibles that are self-conjugate. We show how the combinatorial Laplacian can be used to give an elegant proof of this result. We also show that the spectrum of the Laplacian is integral.

این پژوهش با الهام گرفتن از نتایج یک طرح مطالعاتی کاربردی، رویکرد سلسله­‌مراتبی جهت پیگیری فرایند توسعه تأمین‌کنندگان و حمایت تصمیمات موجود در هر مراحل آن ارائه‌ می‌کند. ابتدا، زمینه‌های تأمین نیازمند سپس واجد شرایط هریک زمینه‌ها به کمک تصمیم‌گیری چندشاخصه بهترین-بدترین مشخص می‌گردند. معیارهای شناسایی نیز مرور مطالعات پیشین بهره‌گیری نظرات خبرگان حوزه‌ی خرید استخراج‌شده‌اند. درنهایت، مدل ریاضی ...

We describe a micro-operating mechanism for a human-scale teleoperating system. The Bouc-Wen model was used to describe the hysteresis in piezoelectric actuators and parameters were identified to characterize the hysteresis using a genetic algorithm. To improve the performance of the system, a model reference adaptive controller was designed based on the Lyapunov stability theory. Both numerica...