This paper describes an architecture of the source retrieval system used at PAN 2014 lab on uncovering plagiarism, authorship, and social software misuse. The system is based on the systems used in past years at PAN 13 [6] and PAN 12 [5]. The majority of features were adapted with some improvements described in this paper. The source retrieval subsystem forms an integral part of a modern system...

Confirming a conjecture by Ivančo and Jendrol’ for a large class of graphs we prove that for every graph G = (V,E) of order n, size m and maximum degree ∆ with m > 111000∆ there is a function f : V ∪ E → { 1, 2, ..., ⌈ m+2 3 ⌉} such that f(u) + f(uv) + f(v) 6= f(u′) + f(u′v′) + f(v′) for every uv, u′v′ ∈ E with uv 6= u′v′. Furthermore, we prove the existence of such a function with values up to...

We study a relativistic anyon model with a spin-j matter field minimally coupled to a statistical gauge potential governed by the Chern-Simons dynamics with a statistical parameter α. A spin and statistics transmutation is shown in terms of a continuous random walk method. An integer or odd-half-integer part of α can be reabsorbed by change of j. We discuss the equivalence of a large class of (...

One can prove the following propositions: (1) For all real numbers a, b and for every natural number c holds (ab ) c = a c bc . (2) For every real number a and for all integer numbers b, c such that a 6= 0 holds ab+c = ab · ac. (3) For every natural number n and for every real number a such that n is even and a 6= 0 holds (−a)n = an. (4) For every natural number n and for every real number a su...

this paper demonstrates a preliminary investigation of geometry, function and its relation to dfx principles, namely dfm (design for manufacturing). this is the starting point for research on the development of an expert system that assesses design goals along dfx principles in a feature-based cad environment. there is a need for a deeper level of understanding of the relationship between geome...

Let H̃r ∞,β denote those 2π-periodic, real-valued functions f on R, which are analytic in the strip Sβ := {z ∈ C : |Im z| < β}, β > 0 and satisfy the restriction |f (r)(z)| ≤ 1, z ∈ Sβ . Denote by [x] the integral part of x. We prove that the rectangular formula QN (f) = 2π N N−1 ∑

This book investigates the central role of reason in Islamic intellectual life. Despite widespread characterization of Islam as a system of belief based only on revelation, JohnWalbridge argues that rational methods, not fundamentalism, have characterized Islamic law, philosophy, theology, and education since the medieval period. His research demonstrates that this medieval Islamic rational tra...

For any fixed positive integer n, the Smarandache ceil function of order k is denoted by N∗ → N and has the following definition: Sk(n) = min{x ∈ N : n | x}, ∀n ∈ N∗. In this paper, we study the mean value properties of the Smarandache ceil function, and give a sharp asymptotic formula for it.