All real algebraic varieties that appear in the present paper are assumed to be affine (that is, isomorphic to algebraic subsets of R for some n). Morphisms between real algebraic varieties are called regular maps. For background material on real algebraic geometry the reader may consult [6]. Every real algebraic variety carries also the Euclidean topology, induced by the usual metric topology ...

In this paper we introduce the notion of Algebraic (Trapdoor) One Way Functions, which, roughly speaking, captures and formalizes many of the properties of number-theoretic one-way functions. Informally, a (trapdoor) one way function F : X → Y is said to be algebraic if X and Y are (finite) abelian cyclic groups, the function is homomorphic i.e. F (x) · F (y) = F (x · y), and is ringhomomorphic...

We introduce twisted Steinberg algebras over a commutative unital ring $R$. These generalise and are purely algebraic analogue of Renault's groupoid C*-algebras. In particular, for each ample Hausdorff $G$ locally constant $2$-cocycle $\sigma$ on taking values in the units $R^\times$, we study algebra $A_R(G,\sigma)$ consisting compactly supported $R$-valued functions $G$, with convolution invo...

We study the low-temperature domain growth kinetics of two-dimensional Ising model with long-range coupling: $J(r) \sim r^{-(d+\sigma)}$, where $d=2$ is dimensionality. According to Bray-Rutenberg predictions, exponent $\sigma$ controls algebraic in time characteristic size $L(t)$, $L(t) t^{1/z}$, $z=1+\sigma$ for $\sigma <1$ and $z=2$ >1$. These results hold quenches a non-zero temperature $T>...

A problem of image denoising, when images are corrupted by a non-stationary noise, is considered in this paper. Since, practice, no priori information on noise available, statistics should be pre-estimated prior to denoising. In paper, deep convolutional neural network (CNN) based method for estimation map local, patch-wise, standard deviations (so-called <italic xmlns:mml="http://www.w3.org/19...

The goal of the present document is to support the taxonomy for bidirectional model synchronization developed in [1] with a formal semantics. The taxonomy is 3D so that each synchronization type is characterized by a triple of coordinates (x, y, z), in which x classifies the organizational symmetry of the case, y is for the informational symmetry, and z is for incrementality of the update propa...

It is well-known that the existence of non–algebraic Z/2–homology classes of a real algebraic manifold Y is equivalent to the existence of non–algebraic elements of the unoriented bordism group of Y and generates (first order) obstructions which prevent the possibility of realizing algebraic properties of smooth objects defined on Y . The main aim of this paper is to investigate the existence o...

Six Sigma Management has played a very important role in improving corporate performance. Literature shows that a great deal of components is influencing the success of Six Sigma Management. Problems with analyzing those components related to the Six Sigma Management lie in the fact that there exist complicated forms of causal relationships among them, forcing the Six Sigma strategists to rely ...