نتایج جستجو برای: c affine map
تعداد نتایج: 1249239 فیلتر نتایج به سال:
In this paper, we propose an image encryption algorithm based on the chaos, substitution boxes, nonlinear transformation in galois field GF(2 8 ) and Latin square. Initially, the dynamic S-boxes are generated using Fisher-Yates shuffle method and piece-wise linear chaotic map. The algorithm utilizes advantages of keyed Latin square and affine-power-affine transformation to substitute highly cor...
0. Introduction. Let Kn denote the «-dimensional torus. Let 7 be an affine transformation of Kn onto Kn and S an affine transformation of Km onto Km for which there exists a continuous map h of Kn onto Km satisfying hT= Sh. R. L. Adler and R. Palais have proved that, in the special cases when m = n and 7 and S are ergodic automorphisms of Kn, all homeomorphism g of Kn, satisfying gT= Sg, are af...
The structure of the group Aut(Cn) of biholomorphisms of Cn is largely unknown if n > 1. In stark contrast Aut(C) is rather small, consisting of the nonconstant affine linear maps. The description of Aut(C) follows from the observation that an injective holomorphic function f : C → C satisfying f(0) = 0 and f ′(0) = 1 must be the identity. These considerations suggest that similar characterizat...
Counting the models of a propositional formula is a key issue for a number of AI problems, but few propositional languages offer the possibility to count models efficiently. In order to fill the gap, we introduce the language EADT of (extended) affine decision trees. An extended affine decision tree simply is a tree with affine decision nodes and some specific decomposable conjunction or disjun...
In this paper, we consider the problem of constructing abstractions of affine control systems that preserve reachability properties, and, in particular, local accessibility. In this framework, showing local accessibility of the higher level, abstracted model is equivalent to showing local accessibility of the, more detailed, lower level model. Given an affine control system and a smooth surject...
A class of linear positive, trace preserving maps in Mn is given in terms of affine maps in R n 2 −1 which map the closed unit ball into itself.
Extensive bounds on the topological entropy of repellers in piecewise expanding coupled map lattices
Beyond the uncoupled regime, the rigorous description of the dynamics of (piecewise) expanding coupled map lattices remains largely incomplete. To address this issue, we study repellers of periodic chains of linearly coupled Lorenz-type maps which we analyze by means of symbolic dynamics. Whereas all symbolic codes are admissible for sufficiently small coupling intensity, when the interaction s...
We consider the problem of designing piecewise affine policies for two-stage adjustable robust linear optimization problems under right hand side uncertainty. It is well known that a piecewise affine policy is optimal although the number of pieces can be exponentially large. A significant challenge in designing a practical piecewise affine policy is constructing good pieces of the uncertainty s...
In 1996, Harris and Kadison posed the following problem: show that a linear bijection between C∗-algebras that preserves the identity and the set of invertible elements is a Jordan isomorphism. In this paper, we show that if A and B are semisimple Banach algebras andΦ : A→ B is a linear map onto B that preserves the spectrum of elements, thenΦ is a Jordan isomorphism if either A or B is a C∗-al...
let $v$ be a vector space over a field $f$ of characteristic $pgeq 0$ and let $t$ be a regular subgroup of the affine group $agl(v)$. in the finite dimensional case we show that, if $t$ is abelian or $p>0$, then $t$ is unipotent. for $t$ abelian, pushing forward some ideas used in [a. caranti, f. dalla volta and m. sala, abelian regular subgroups of the affine group and r...
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