We consider a zero-sum game with a maximizer who selects a point x in given polygon R in the plane and a minimizer who selects K points Cl, c2, ..., cK in the plane; the payoff is min lix cill, or any monol<i<K tonically nondecreasing function of this quantity. We derive lower and upper bounds on the value of the game by considering, respectively, the maximizer's strategy of selecting a uniform...

this paper consider the   general  forms of $(alpha,beta)$-fuzzyleft ideals (right ideals, bi-ideals, interior ideals) of an orderedsemigroup, where$alpha,betain{in_{gamma},q_{delta},in_{gamma}wedgeq_{delta}, in_{gamma}vee q_{delta}}$ and $alphaneqin_{gamma}wedge q_{delta}$. special attention is paid to$(in_{gamma},ivq)$-left ideals (right ideals, bi-ideals, interiorideals) and some related  pr...

r is called commuting regular ring (resp. semigroup) if for each x,y $in$ r thereexists a $in$ r such that xy = yxayx. in this paper, we introduce the concept of commuting$pi$-regular rings (resp. semigroups) and study various properties of them.

Abstract We compare the regularity of boundary a convex set with value its Finslerian volume entropy. The main result states that entropy two-dimensional domain whose associated curvature measure is Ahlfors $$\alpha $$ α -regular $$\frac{2\alpha }{\alpha +1}$$ 2 </mml:m...

Bauschke and Moursi have recently obtained results that implicitly contain the fact composition of finitely many averaged mappings on a Hilbert space approximate fixed points also has thus is asymptotically regular. Using techniques proof mining, we analyze their arguments to obtain effective uniform rates asymptotic regularity.

We present arguments for the existence of charged, rotating black holes with equal-magnitude angular momenta in an odd number of dimensions D ≥ 5. These solutions posses a regular horizon of spherical topology and approach asymptotically the Anti-de Sitter spacetime background. We analyze their global charges, their gyromagnetic ratio and their horizon properties.

A polynomial preserving gradient recovery method is proposed and analyzed for bilinear element under quadrilateral meshes. It has been proven that the recovered gradient converges at a rate O(h) for ρ = min(α, 1), when the mesh is distorted O(h) (α > 0) from a regular one. Consequently, the a posteriori error estimator based on the recovered gradient is asymptotically exact.

A result of Nicaud states that the number of distinct unary regular string languages recognized by minimal deterministic finite automata (DFAs) with n states is asymptotically equal to n2n−1. We consider the analogous question for symmetric difference automata (Z2NFAs), and show that precisely 22n−1 unary languages are recognized by n-state minimal Z2-NFAs.

In this paper we prove that random d–regular graphs with d ≥ 3 have traffic congestion of the order O(n logd−1(n)) where n is the number of nodes and geodesic routing is used. We also show that these graphs are not asymptotically δ–hyperbolic for any non–negative δ almost surely as n→∞.

We derive here the Friedland-Tverberg inequality for positive hyperbolic polynomials. This inequality is applied to give lower bounds for the number of matchings in r-regular bipartite graphs. It is shown that some of these bounds are asymptotically sharp. We improve the known lower bound for the three dimensional monomer-dimer entropy. 2000 Mathematics Subject Classification: 05A15, 05A16, 05C...