BACKGROUND Existing studies of childhood dilated cardiomyopathy deal mainly with early survival. This population-based study examines long-term outcomes for children with dilated cardiomyopathy. METHODS AND RESULTS The diagnosis of dilated cardiomyopathy was based on clinical, echocardiographic, and pathological findings. The primary study end point included time to the combined outcome of de...

In recent years, various neural network architectures have been successfully applied to natural language processing (NLP) tasks such as named entity normalization. Named normalization is a fundamental task for extracting information in free text, which aims map mentions text gold standard entities given domain-specific ontology; however, the biomedical domain still challenging because of multip...

A Message Passing Interface (MPI) cluster has been used for an extensive parallel search for rank-1 lattice rules using the LLL-Spectral Test [4, 9, 13]. Our parallel search implements the traditional normalization method [6] as well as a new normalization strategy which is proposed in [3]. The resulting lattice parameters of the parallel searches are stored in a database and distributed via a ...

Let V be the m×m upper-left corner of an n× n Haar-invariant unitary matrix. Let λ1, · · · , λm be the eigenvalues of V. We prove that the empirical distribution of a normalization of λ1, · · · , λm goes to the circular law, that is, the uniform distribution on {z ∈ C; |z| ≤ 1} as m → ∞ with m/n → 0. We also prove that the empirical distribution of λ1, · · · , λm goes to the arc law, that is, t...

Let G be a finite group and let r be the maximum of the p-ranks of G for all primes p dividing the order to G. There exist positive integers m and n such that the exponents of Hn(G,Z) and Hm(G, Z) are greater than Suppose that G is a finite group. It has long been known that the exponent of Hn(G, Z) divides |G|, the order of G, for all n > 0. Beyond this fact very little has been established co...

In this supplementary file, we first present the parameter setting for ρ, and then present the proof of the lemmas and theorems appeared in the main paper. 1. Parameter Setting for ρ In the main paper, we present (14) as a simple and effective method to choose ρ, which is motivated by the thresholding strategy in StOMP for sparse signal recovery (Donoho et al., 2012). Specifically, let σ be the...

then we say that p is the Catathéodory function. LetA denote the class of all functions f analytic in the open unit disk U {z : |z| < 1} with the usual normalization f 0 f ′ 0 − 1 0. If f and g are analytic in U, we say that f is subordinate to g, written f ≺ g or f z ≺ g z , if g is univalent, f 0 g 0 and f U ⊂ g U . For 0 < α ≤ 1, let STC α and STS α denote the classes of functions f ∈ A whic...

In this paper we consider Z-actions, d ≥ 1, by automorphisms of compact connected abelian groups which contain at least one expansive automorphism (such actions are called algebraic Z-actions of expansive rank one). If α is such a Z-action on an infinite compact connected abelian group X, then every expansive element α of this action has a dense group ∆αn(X) of homoclinic points. For different ...