We present a method of lifting linear inequalities for the flag f -vector of polytopes to higher dimensions. Known inequalities that can be lifted using this technique are the non-negativity of the toric g-vector and that the simplex minimizes the cd-index. We obtain new inequalities for 6-dimensional polytopes. In the last section we present the currently best known inequalities for dimensions...

This paper studies the complexity of solving two classes of non-cooperative games in a distributed manner in which the players communicate with a set of system nodes over noisy communication channels. The complexity of solving each game class is defined as the minimum number of iterations required to find a Nash equilibrium (NE) of any game in that class with ǫ accuracy. First, we consider the ...

we introduce variational inequality problems on hilbert $c^*$-modules and we prove several existence results for variational inequalities defined on closed convex sets. then relation between variational inequalities, $c^*$-valued metric projection and fixed point theory  on  hilbert $c^*$-modules is studied.

We generalize Venema’s result on the canonicity of the additivity of positive terms, from classical modal logic to a vast class of logics the algebraic semantics of which is given by varieties of normal distributive lattice expansions (normal DLEs), aka ‘distributive lattices with operators’. We provide two contrasting proofs for this result: the first is along the lines of Venema’s pseudocorre...

we establish a relationship between general constrained pseudoconvex optimization problems and globally projected dynamical systems. a corresponding novel neural network model, which is globally convergent and stable in the sense of lyapunov, is proposed. both theoretical and numerical approaches are considered. numerical simulations for three constrained nonlinear optimization problems a...

the world was different when the ottawa charter for health promotion was released 30 years ago. concerns over the environment and what we now call the ‘social determinants of health’ were prominent in 1986. but the acceleration of ecological crises and economic inequalities since then, in a more complex and multi-polar world, pose dramatically new challenges for those committed to the original ...

there are many reasons for the health inequities that we see around the world today. public policy and the way society organises its affairs affects the economic, social and physical factors that influence the conditions in which people are born, grow, live, work and age - the social determinants of health. tackling health inequities is a political issue that requires leadership, political cour...

In this paper, we establish integral inequalities of Hermite-Hadamard type for multiplicativelys-preinvex functions. We also obtain some new inequalities involving multiplicative integralsby using some properties of multiplicatively s-preinvex and preinvex functions.

An optimal algorithm is presented for computing the smallest set of linear inequalities that define the integer hull of a possibly unbounded two-dimensional convex polygon R. Input to the algorithm is a set of linear inequalities defining R, and the integer hull computed is the convex hull of the integer points of R. It is proven that the integer hull has at most O(n logAmax) inequalities, wher...