CONTENTS The pentagram map is defined on the space of convex n-gons

Relevant Background............................................................................................3 Protein Structure............................................................................................3 Contact Map................................................................................................4 Convex Hull........................................................

We discuss in this paper a class of nonsmooth functions which can be represented, in a neighborhood of a considered point, as a composition of a positively homogeneous convex function and a smooth mapping which maps the considered point into the null vector. We argue that this is a sufficiently rich class of functions and that such functions have various properties useful for purposes of optimi...

We study the topology of the set X of the solutions of a system of two quadratic inequalities in the real projective space RPn (e.g. X is the intersection of two real quadrics). We give explicit formulae for its Betti numbers and for those of its double cover in the sphere Sn; we also give similar formulae for level sets of homogeneous quadratic maps to the plane. We discuss some applications o...

Condensing osteitis of the clavicle is a benign disorder leading to osteosclerosis of the medial end of the clavicle. The differential diagnosis between condensing osteitis of the clavicle and ischaemic necrosis of the medial clavicular epiphysis (Friedrich's disease), osteoid osteoma, and low grade osteomyelitis can be difficult. In the case history reported here, magnetic resonance imaging wa...

In this paper we investigate the sub-channel assignment and power control to maximize the total sum rate in the uplink of two-cell network. It is assumed that there are some sub-channels in each cell which should be allocated among some users. Also, each user is subjected to a power constraint. The underlying problem is a non-convex mixed integer non-linear optimization problem which does not h...

Nowadays, energy plays an important role in the economic and community development of country. Consequently, performance analysis of energy systems is one of the effective methods being used to prevent waste of energy resources. Among the different power generation technologies, steam power plants make a significant contribution to power generation in Iran, with a share of 47 % of electricity g...

Nowadays, energy plays an important role in the economic and community development of country. Consequently, performance analysis of energy systems is one of the effective methods being used to prevent waste of energy resources. Among the different power generation technologies, steam power plants make a significant contribution to power generation in Iran, with a share of 47 % of electrici...

This paper presents a novel anti-windup proportional–integral controller for stable multi-input multi-output nonlinear plants. We use tools from projected dynamical systems theory to force the integrator state remain in desired (compact and convex) region, such that plant input steady-state values satisfy operational constraints of problem. Under suitable monotonicity assumptions on input–outpu...