Abstract Verifying the genuineness of official documents, such as bank checks, certificates, contract forms, bonds, etc., remains a challenging task when it comes to accuracy and robustness. Here, is related degree match signature contained in documents relating original signatures authorized person. Signatures persons are considered known advance. In this paper, novel feature set introduced ba...

Abstract Rigorous, elementary upper and lower bounds upon the Lyapunov exponents of a parametrised family linked twist maps are given, obtained explicitly for specific range parameter values. The method used to obtain utilises existence invariant cones products underlying shear maps, return time partition overlap region two annuli. Improvements accuracy this then by considering preceding sequen...

David Lindberg and Herbert K. H. Lee Complex functions, such as the output of computer simulators, can be difficult to optimize. The task becomes even more difficult when only some of the function evaluations return real numbers and others simply fail to return a value. We combine statistical emulation, classification, sequential design, and optimization with an asymmetric entropy measure to so...

We extend our combinatorial approach of decomposing the partition function of the Potts model on finite two-dimensional lattices of size L × N to the case of toroidal boundary conditions. The elementary quantities in this decomposition are characters Kl,D labelled by a number of bridges l = 0, 1, . . . , L and an irreducible representation D of the symmetric group Sl. We develop an operational ...

In this paper, we consider viscoelastic flows in a rough domain (with typical roughness patterns of size ε ≪ 1). We present and rigorously justify an asymptotic expansion with respect to ε, at any order, based upon the definition of elementary problems: Oldroyd-type problems at the global scale defined on a smoothened domain and boundary-layer corrector problems. The resulting analysis guarante...

We propose a new technique that provides a unified framework for modeling the collision dynamics of objects having arbitrary shape and roughness. The technique assumes that boundary of the object is expressed by elementary segments with some random distribution of perturbation. Collision detection and treatment is done considering this conceptual representation. In order to efficiently detect c...

We establish an elementary lower estimate for the norm of the Kerzman-Stein operator for a smooth, bounded domain. The estimate involves the boundary length and logarithmic capacity. The estimate is tested on model domains for which the norm is known explicitly. It is shown that the estimate is sharp for an annulus and a strip, and is asymptotically sharp for an ellipse and a wedge.

The operator Lry = / + Py, whose domain is determined in part by the Stieltjes integral boundary condition Jo dv{i)y{f) = 0, is studied in Xj¡($>, 1), 1 < p < oo. It is shown that Lp has a dense domain; hence there exists a dual operator L* operating on .£¡¡(0,1). After finding LJ we show that both L, and L¡¡ are Fredholm operators. This implies some elementary results concerning the spectrum a...

We study non-equilibrium reaction-diffusion processes with open boundaries in one dimension which are exactly solvable by means of the recently developed recursion formula. We investigate the stationary states, which cannot be determined in an elementary way. We give the equation which includes an auxiliary parameter and determines possible boundary conditions for the model to be solved exactly...