Let us review the fundamental framework of streaming. Suppose we have a stream coming in from time 0 to time T . At each time t ∈ [T ], the coming element is at ∈ [n]. Frequency for any element i is defined as mi = |{j|aj = i}|. We will see a few problems to solve under this framework. For different problems, we expect to have a complexity of only O(log n) and O(log T ) on either storage or upd...

Nowadays, ontology is applied as an integral part of many applications in several domains, especially in the world of law. The ontology based judicial support system is believed as a useful tool to support, for example, the legal argumentation assistant and legal decision taking in court. The privacy case analyzer is considered as one of the most interesting applications of ontology based priva...

Eichler integrals play an integral part in the modular parametrizations of elliptic curves. In her master’s thesis, Kodgis conjectures several dozen zeros of Eichler integrals for elliptic curves with conductor ≤ 179. In this paper we prove a general theorem which confirms many of these conjectured zeros. We also provide two ways to generate infinite families of elliptic curves with certain zer...

Matrix has no value whereas a determinant has a value. An attempt is made to associate a value to a matrix, whose elements are integers. For that, a concept of “Height” is introduced in the matrices over Z. As soon as an integral value is associated with every matrix, an attempt is made to introduce odd, even and prime matrices etc. Then related number theoretical properties are proved.

Source retrieval is a part of a plagiarism discovery process, where only a selected set of candidate documents is retrieved from a large corpus of potential source documents and passed for detailed document comparison in order to highlight potential plagiarism. This paper describes a used methodology and the architecture of a source retrieval system, developed for PAN 2015 lab on uncovering pla...

The application of a new mean value theorem to the fractional parts of polynomials 1. Introduction. The new mean value estimates provided by recent advances in Waring's problem (see, in particular, [9, 10, 11, 14]) may plainly be applied to improve current estimates for αn k , the distance from αn

Becoming aware of conflicting information is an integral part of comprehending multiple documents on a scientific issue. We examined whether memory for conflicts and its application in an essay task could be enhanced by a combination of reading goals and text signals. Two highcoherence-orienting reading goals (reading to write a summary or an argumentation) were contrasted with a low coherence-...

Healthcare is adopting information technology as an integral part of clinical workflows and processes themselves. This places substantial demands upon the performance and behavior of such networks, especially as the paper records systems are retired, leading to the fundamental attributes of clinical-grade networks

The β-numeration, born with the works of Rényi and Parry, provides a generalization of the notions of integers, decimal numbers and rational numbers by expanding real numbers in base β, where β > 1 is not an integer. One of the main differences with the case of numeration in integral base is that the sets which play the role of integers, decimal numbers and rational numbers in base β are not st...

Normal conditional expectations E : M → N ⊆ M of finite index on von Neumann algebras M with discrete center are investigated to find an estimate for the minimal number of generators of M as a Hilbert N-module. Analyzing the case of M being finite type I with discrete center we obtain that these von Neumann algebras M are always finitely generated projective N-modules with a minimal generator s...