Based on fundamental measure theory, a Helmholtz free energy density functional for three-component mixtures of hard spheres with general, non-additive interaction distances is constructed. The functional constitutes a generalization of the previously given theory for binary non-additive mixtures. The diagrammatic structure of the spatial integrals in both functionals is of star-like (or tree-l...

* Correspondence: baak@hanyang. ac.kr Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, South Korea Full list of author information is available at the end of the article Abstract Using the fixed point method, we prove the Hyers-Ulam stability of a Cauchy-Jensen type additive set-valued functional equation, a Jensen type additive-quadratic se...

Additive model is an effective dimension reduction model that provides flexibility to model the relation between a response variable and key covariates. The literature is largely developed to scalar response and vector covariates. In this paper, more complex data is of interest, where both the response and covariates may be functions. A functional additive model is proposed together with a new ...

We propose a comprehensive framework for flexible additive regression models for correlated functional responses, allowing for multiple partially nested or crossed functional random effects with spatial, temporal, or longitudinal correlation structures. Additionally, our framework includes linear effects of functional covariates and linear or smooth effects of scalar covariates that can vary sm...

Additive-Free Inks Additive-free dry-only inks can enable functional printing and high-throughput fabrication of elec-tronics at room temperature, but their design proves challenging. In article number 2103660, Jakob Heier co-workers show how interflake van der Waals interactions in 2D materials be used to replace the roles conventional additives for formulation additive-free inks.