Software cost estimation based on multivariate data from completed projects requires the building of efficient models. These models essentially describe relations in the data, either on the basis of correlations between variables or of similarities between the projects. The continuous growth of the amount of data gathered and the need to perform preliminary analysis in order to discover pattern...

We discuss multicasting for the n-cube network and its close variants, the Chord and the Binomial Graph (BNG) Network. We present simple transformations and proofs that establish that the sp-multicast (shortest path) and Steiner tree problems for the n-cube, Chord and the BNG network are NP-Complete.

All fields of knowledge need concepts, which have been well studied in the most diverse disciplines. In this article, we intend to expose possibility approaching construction and understanding concepts (in all study) associating with a musical notion — ‘chord’. The universe experienced for will be that concept Nazism. We apply conceptual chord form study set minimum characteristics could config...

Automatic chord recognition is the first step towards complex analyses of music. It has became an active research topic and is of importance for both scientific research and commercial applications. Many methods have been proposed to attack this problem, most of which are based on the Pitch Class Profile. I propose a novel automatic chord recognition method that improves the traditional methods...

The Horizontal Chord Theorem states that if a continuous curve connects points A and B in the plane, then for any integer k there are points C and D on the curve such that −−→ AB = k −−→ CD. In this note, we discuss a few combinatorial-analysis problems related to this theorem and introduce a different formulation that gives way to generalizations on graphs. 1 THE NECKLACE OF PEARLS PROBLEM. Tw...

Let F be a smooth plane curve of degree 3. Let β be an element in Pic(F )[2]− {0}. Let us define F ′ := {p(p+ β)|p ∈ F} ⊂ (P2)∗. In this note we show that F ′ is a smooth embedding of F/β. Moreover, let β′ be the generator of Pic(F )/β, and let p ∈ F be a flex, then p(p+ β) + β′ is a flex on F ′. We present two proofs. 1. Notation. Let F be a smooth curve of genus 1, β ∈ Pic(F )[2]. Let us deno...

We propose two novel lyrics-to-audio alignment methods which make use of additional chord information. In the first method we extend an existing hidden Markov model (HMM) for lyrics alignment [1] by adding a chord model based on the chroma features often used in automatic audio chord detection. However, the textual transcriptions found on the Internet usually provide chords only for the first a...

In 1984, Mark STEEDMAN [7] proposed a generative grammar based on six context sensitive rewriting rules able to produce a large variety of blues chord sequences. Later, François PACHET [6] developed a method for analyzing jazz chord sequences. Then, Marc CHEMILLER [4] [5] uses STEEDMAN’s grammar to compose by computers jazz music based upon chord sequences generated by this grammar. About twent...

The complex morphology of an insect campaniform sensillum is responsible for transforming strains of the integument into a displacement of the campaniform dome and subsequently a deformation of the dendritic membrane. In this paper, the first step in this coupling process was investigated in identified campaniform sensilla on the wing of the blowfly by stimulating the sensilla with chord-wise d...