This paper investigates calling melodies produced by 21 Standard German native speakers on a discourse completion task across two contexts: (i) routine context—calling a child from afar to come in for dinner; (ii) urgent context—calling a child from afar for a chastising. The intent of this investigation is to bring attention to other calling melodies found in German beside the vocative chant a...

In this document, we introduce five additional examples that motivate our research on testing homogeneity. In particular, we show how to check the assumptions for two linear mixed models to validate the asymptotic distributions of the score test statistics. Then, we give the detailed derivation for the score test statistic. We present the result about the local power of the score test statistic...

In this article, an improved reduced order modelling approach, based on the proper orthogonal decomposition (POD) method, is presented. After projecting the governing equations of flow dynamics along the POD modes, a dynamical system was obtained. Normally, the classical reduced order models do not predict accurate time variations of flow variables due to some reasons. The response of the dynam...

We consider a upwinding mixed element method for a system of first order partial differential equations resulting from the mixed formulation of a general advection diffusion problem. The system can be used to model the transport of a contaminant carried by a flow. We use the lowest order Raviart–Thomas mixed finite element space. We show the first order convergence both for concentration and co...

Spectral clustering (SC) is a popular approach for gaining insights from complex networks. Conventional SC focuses on second-order structures (e.g. edges) without direct consideration of higher-order triangles). This has motivated extensions that directly consider structures. However, both approaches are limited to considering single order. To address this issue, paper proposes novel Mixed-Orde...