This paper examines the relationship between the degree of uniformity of distribution of grids, including Smolyak grids, with the intention of choosing weights to obtain efficient quadrature formulas.

Consider a hermitian positive-definite linear functional F, and assume we have m distinct nodes fixed in advance anywhere on the real line. In this paper we then study the existence and construction of nth rational Gauss-Radau (m = 1) and Gauss-Lobatto (m = 2) quadrature formulas that approximate F{f}. These are quadrature formulas with n positive weights and with the n−m remaining nodes real a...

We show how to combine incidence matrices, which admit Hermite-Birkhoff quadrature formulas of Gaussian type for any positive measure, in such a way that the resulting matrix also admits Gaussian type quadratures for any positive measure. Moreover, the uniqueness property and the extremal property of the formulas corresponding to the submatrices are transferred to the formula admitted by the co...

Absolute pitch (AP)--the ability to name a musical note in the absence of a reference note--is a rare ability whose relevance to musical proficiency has so far been unclear. Sixty trained musicians--thirty who self-reported AP and thirty with equivalent age of onset and duration of musical training--were administered a test for AP and also a musical dictation test not requiring AP. Performance ...

Drawing from minority stress (Meyer, 2003) and feminist multicultural (Brown, 1994) theories, the present study investigated the additive and interactive relations between 2 types of external minority stress (heterosexist discrimination and racist events) and 4 internal stress processes related to identifying as a South Asian American lesbian, gay, bisexual, and queer (LGBQ) person (internalize...

In three studies, we examined how racial progress affects Whites' perceptions of anti-White bias. When racial progress was chronically (Study 1) and experimentally (Study 2) salient, Whites who believed the current U.S. status hierarchy was legitimate were more likely to report that Whites were victims of racial discrimination. In contrast, Whites who perceived the current status system as ille...

The present study investigated the neural correlates of infant discrimination of very similar linguistic varieties (Quebecois and Parisian French) using functional Near InfraRed Spectroscopy. In line with previous behavioral and electrophysiological data, there was no evidence that 3-month-olds discriminated the two regional accents, whereas 5-month-olds did, with the locus of discrimination in...

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Here we present evidence that native speakers of a tone language, in which pitch contributes to word meaning, are impaired in the discrimination of falling pitches in tone sequences, as compared to speakers of a non-tone language. Both groups were presented with monotonic and isochronous sequences of five tones (i.e., constant pitch and intertone interval). They were required to detect when the...