A division property is a generic tool to search for integral distinguishers, and automatic tools such as MILP or SAT/SMT allow us evaluate the propagation efficiently. In application stream ciphers, it enables estimate security of cube attacks theoretically, leads best key-recovery against well-known ciphers. However, was reported that some based on degenerate distinguishing due inaccuracy prop...

Given a variety $X$, and normal crossings divisor $D\subset X$, we relate, in the case of abelian monodromy, following two: 1. existence $G$-torsor with prescribed ramification, 2. essentially finite parabolic vector bundles weights.

We study symmetry and quantitative approximate for an overdetermined problem involving the fractional torsion in a bounded open set ? ?<!-- ? -...

Todorc̆ević’ trichotomy in the class of separable Rosenthal compacta induces a hierarchy tame (compact, metrizable) dynamical systems ( X , ...

A new approach to normalizing fuzzy sets is introduced where it is assumed that the normalization method is compatible with a given t-norm. In this context it is proved that the most usual ways to normalize fuzzy subsets correspond to the most common t-norms. For a given fuzzy subset μ, the corresponding normalized fuzzy subset μ̂ can be viewed as the distribution of μ conditioned on the (degree...

we introduce center-like subsets z*(r,f), z**(r,f) and z1(r,f), where r is a ring and f is a map from r to r. for f a derivation or a non-identity epimorphism and r a suitably-chosen prime or semiprime ring, we prove that these sets coincide with the center of r.

let $r$ be a commutative ring with identity and $m$ be an$r$-module. let $fspec(m)$ denotes the collection of all prime fuzzysubmodules of $m$. in this regards some basic properties of zariskitopology on $fspec(m)$ are investigated. in particular, we provesome equivalent conditions for irreducible subsets of thistopological space and it is shown under certain conditions$fspec(m)$ is a $t_0-$spa...

The question of uniqueness harmonic functions in a domain Ω ⊂ mathvariant="dou...