In this paper we learn a dissimilarity measure for categorical data, for effective classification of the data points. Each categorical feature (with values taken from a finite set...
Jierui Xie, Boleslaw K. Szymanski, Mohammed J. Zak...
A graph G = (V, E) is called (k, k )-total weight choosable if the following holds: For any total list assignment L which assigns to each vertex x a set L(x) of k real numbers, an...
Abstract. We show how to represent an interval of real numbers in an abstract numeration system built on a language that is not necessarily regular. As an application, we consider ...
For the computability of subsets of real numbers, several reasonable notions have been suggested in the literature. We compare these notions in a systematic way by relating them to...
A real number is recursively approximable if there is a computable sequence of rational numbers converging to it. If some extra condition to the convergence is added, then the limi...
: We consider disjunctive sequences, that is, infinite sequences (-words) having all finite words as infixes. It is shown that the set of all disjunctive sequences can be described...
Abstract. This paper develops the very basic notions of analysis in a weak secondorder theory of arithmetic BTFA whose provably total functions are the polynomial time computable f...
We study two fundamental problems concerning the search for interesting regions in sequences: (i) given a sequence of real numbers of length n and an upper bound U; find a consecu...
We answer a question posed by Lampert and Slater [7]. Consider a sequence of real numbers qn in the interval [0, 1] defined by q0 = 0, q1 = 1, and, for n 1, qn+1 equals an averag...
Neil J. Calkin, E. Rodney Canfield, Herbert S. Wil...
The Turing degree of a real number x is defined as the Turing degree of its binary expansion. This definition is quite natural and robust. In this paper we discuss some basic degr...