This paper describes a numerical method for examining similarities among tempo and loudness features extracted from recordings of the same musical work and evaluates its effectiveness compared to Pearson correlation. Starting with correlation at multiple timescales, other concepts such as a performance “noise-floor” are used to generate measurements which are more refined than correlation alone...

Although online communities often regard membership growth as an important goal of their development, research has shown that large influx of new users may interrupt a community’s wellness by introducing information overload and lowering content quality [1], [2], which is also know as “Eternal September”1 from the infamous case of Usenet’s fall[3]. Founded in 2005, Reddit, as one of the most po...

We consider the Landau-Lifshitz equations of ferromagnetism (including the harmonic map heat-flow and Schrödinger flow as special cases) for degree m equivariant maps from R to S. If m ≥ 3, we prove that near-minimal energy solutions converge to a harmonic map as t → ∞ (asymptotic stability), extending previous work [11] down to degree m = 3. Due to slow spatial decay of the harmonic map compon...

We consider the Landau-Lifshitz equations of ferromagnetism (including the harmonic map heat-flow and Schrödinger flow as special cases) for degree m equivariant maps from R2 to S2. If m ≥ 3, we prove that near-minimal energy solutions converge to a harmonic map as t → ∞ (asymptotic stability), extending previous work (Gustafson et al., Duke Math J 145(3), 537–583, 2008) down to degree m = 3. D...

Let G be a connected simple graph. A restrained dominating set S of the vertex set of G, V (G) is a secure restrained dominating set of G if for each u ∈ V (G) \ S, there exists v ∈ S such that uv ∈ E(G) and the set (S \ {v}) ∪ {u} is a restrained dominating set of G. The minimum cardinality of a secure restrained dominating set of G, denoted by γsr(G), is called the secure restrained dominatio...

Let G = (V, E) be a graph. Let D be a minimum secure total dominating set of G. If V – D contains a secure total dominating set D' of G, then D' is called an inverse secure total dominating set with respect to D. The inverse secure total domination number γst(G) of G is the minimum cardinality of an inverse secure total dominating set of G. The disjoint secure total domination number γstγst(G) ...

“Eternal inflation” is often confused with “chaotic inflation”. Moreover, the term “chaotic inflation” is being used in three different meanings (all of them unrelated to eternal inflation). I make some suggestions in an effort to untangle this terminological mess. I also give a brief review of the origins of

This article is a follow-up of an that describes the proponents eternal functional subordination (EFS). evangelical movement was introduced by George Knight in 1977. The EFS refers to relationship between God Father and Son as authoritative position held Father, while occupies subordinated position. not mainline Protestant churches. find origin their premise Bible well tradition early church. J...

Please note that all the discussion referring to Theorem 5.4.1 has been revised accordingly. The corrected version of Chapter 5 has been published as follows: [WXSP15a] Zhao Wang, Ming Xiao, Mikael Skoglund, and H. Vincent Poor, “Secure degrees of freedom of wireless X networks using artificial noise alignment,” IEEE Trans. Commun., to appear. Online access: http://arxiv.org/abs/1410.5009. • 83...