The rhetorical theory of argument, if held as the conclusion of an argument, is self-defeating. There are two arguments that it is. First is the quick and dirty argument: the rhetorical theory is that argument quality is adjudged by eliciting conviction, but the case for the theory is not convincing. Second is the process argument: if one has the view that one’s reasons are arranged with the so...

We consider non-negative solutions of the fast diffusion equation ut = ∆u m with m ∈ (0, 1), in the Euclidean space R d , d ≥ 3, and study the asymptotic behavior of a natural class of solutions, in the limit corresponding to t → ∞ for m ≥ mc = (d−2)/d, or as t approaches the extinction time when m < mc. For a class of initial data we prove that the solution converges with a polynomial rate to ...

In this paper we give, for the first time, a complete description of the late-time evolution of non-tilted spatially homogeneous cosmologies of Bianchi type VIII. The source is assumed to be a perfect fluid with equation of state p = (γ − 1)µ, where γ is a constant which satisfies 1 γ 2. Using the orthonormal frame formalism and Hubble-normalized variables, we rigorously establish the limiting ...

In [4] an informal algorithm ’to display interesting numeric patterns’ is described without any proof. We generalize this algorithm over arbitrary finite fields of characteristic p and we prove that it really generates self-similar carperts, provided that they contain at least one zero in the first (p+1)/2 lines. For the fields Fp the generalized algorithm produces p− 1 different self-similar c...

In this paper, on the basis of giving a reference amplitude value, the two-parameter analyzing model of the random signal is established by introducing two basic conceptions---the amplitude and the width. Based on which, the statistical distribution law of the random signal group’s characteristic parameters is studied. The experimental results show that the amplitude and the width counting stat...

This paper is concerned with the performance ramications of \self-similar" or \fractal" data tra c upon networked systems. It is expected in the near future that communication systems will experience serious performance degregations as a consequence of this phenomena. Thus, the development of tractable models to analyze behaviors exhibited by these processes is important. Interarrival processes...

We use contraction method in probabilistic metric spaces to prove existence and uniqueness of selfsimilar random fractal measures.

We discuss higher-dimensional gravitational instantons by studying appropriate self-duality equations for the spin connection. In seven and in eight dimensions, the corresponding spaces admit a covariantly constant spinor and, consequently, have holonomies in G 2 and Spin(7), respectively. We find a non-compact solution to the self-duality equations in eight dimensions in which the self-dual sp...

Culik 11, K . and S . Dube, Rational and affine expressions for image description, Discrete Applied Mathematics 41 (1993) 85-120 . In this paper, the representation, generation and inference of images using automata-theoretic techniques is investigated . It is shown that highly complex images, including "fractal" (self-similar) images, can be manipulated by the application of these techniques ....